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<journal-id journal-id-type="publisher-id">Front. Mater.</journal-id>
<journal-title>Frontiers in Materials</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Mater.</abbrev-journal-title>
<issn pub-type="epub">2296-8016</issn>
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<article-id pub-id-type="publisher-id">1645227</article-id>
<article-id pub-id-type="doi">10.3389/fmats.2025.1645227</article-id>
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<subj-group subj-group-type="heading">
<subject>Materials</subject>
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<subject>Review</subject>
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<title-group>
<article-title>Computational methods and artificial intelligence-based modeling of magnesium alloys: a systematic review of machine learning, deep learning, and data-driven design and optimization approaches</article-title>
<alt-title alt-title-type="left-running-head">Wang et al.</alt-title>
<alt-title alt-title-type="right-running-head">
<ext-link ext-link-type="uri" xlink:href="https://doi.org/10.3389/fmats.2025.1645227">10.3389/fmats.2025.1645227</ext-link>
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<contrib contrib-type="author" corresp="yes">
<name>
<surname>Wang</surname>
<given-names>Hanxuan</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
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<xref ref-type="corresp" rid="c001">&#x2a;</xref>
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<name>
<surname>Kumar</surname>
<given-names>Raman</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<xref ref-type="author-notes" rid="fn1">
<sup>&#x2020;</sup>
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<contrib contrib-type="author">
<name>
<surname>Pattanaik</surname>
<given-names>Ashutosh</given-names>
</name>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
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<name>
<surname>Kumar</surname>
<given-names>Rajender</given-names>
</name>
<xref ref-type="aff" rid="aff5">
<sup>5</sup>
</xref>
<xref ref-type="aff" rid="aff6">
<sup>6</sup>
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<xref ref-type="author-notes" rid="fn1">
<sup>&#x2020;</sup>
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<contrib contrib-type="author">
<name>
<surname>Khawaf Aljaberi</surname>
<given-names>Ali Saeed Owayez</given-names>
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<xref ref-type="aff" rid="aff7">
<sup>7</sup>
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<contrib contrib-type="author">
<name>
<surname>Abass</surname>
<given-names>Mayada Ahmed</given-names>
</name>
<xref ref-type="aff" rid="aff8">
<sup>8</sup>
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<xref ref-type="author-notes" rid="fn1">
<sup>&#x2020;</sup>
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<aff id="aff1">
<sup>1</sup>
<institution>Engineering Science</institution>, <institution>The University of New South Wales</institution>, <addr-line>Kensington</addr-line>, <addr-line>Sydney</addr-line>, <addr-line>NSW</addr-line>, <country>Australia</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Department of Mechanical and Production Engineering</institution>, <institution>Guru Nanak Dev Engineering College</institution>, <addr-line>Ludhiana</addr-line>, <addr-line>Punjab</addr-line>, <country>India</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>Jadara Research Center</institution>, <institution>Jadara University</institution>, <addr-line>Irbid</addr-line>, <country>Jordan</country>
</aff>
<aff id="aff4">
<sup>4</sup>
<institution>Department of Mechanical Engineering</institution>, <institution>School of Engineering and Technology</institution>, <institution>JAIN (Deemed to be University)</institution>, <addr-line>Bangalore</addr-line>, <addr-line>Karnataka</addr-line>, <country>India</country>
</aff>
<aff id="aff5">
<sup>5</sup>
<institution>Department of Mechanical Engineering</institution>, <institution>Graphic Era (Deemed to be University)</institution>, <addr-line>Dehradun</addr-line>, <country>India</country>
</aff>
<aff id="aff6">
<sup>6</sup>
<institution>Department of Mechanical Engineering</institution>, <institution>Chandigarh University</institution>, <addr-line>Mohali</addr-line>, <addr-line>Punjab</addr-line>, <country>India</country>
</aff>
<aff id="aff7">
<sup>7</sup>
<institution>Department of Pharmacy, Mazaya University College</institution>, <addr-line>Dhiqar</addr-line>, <country>Iraq</country>
</aff>
<aff id="aff8">
<sup>8</sup>
<institution>College of Pharmacy</institution>, <institution>Al-Mustaqbal University</institution>, <addr-line>Babylon</addr-line>, <country>Iraq</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>
<bold>Edited by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/167539/overview">Simone Taioli</ext-link>, European Centre for Theoretical Studies in Nuclear Physics and Related Areas (ECT&#x2a;), Italy</p>
</fn>
<fn fn-type="edited-by">
<p>
<bold>Reviewed by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/524466/overview">Andrea Pedrielli</ext-link>, Bruno Kessler Foundation (FBK), Italy</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/3118861/overview">Zhigang Yu</ext-link>, Shanghai University, China</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Hanxuan Wang, <email>sylvanasama@gmail.com</email>
</corresp>
<fn fn-type="other" id="fn1">
<label>
<sup>&#x2020;</sup>
</label>
<p>ORCID: Raman Kumar, <ext-link ext-link-type="uri" xlink:href="http://orcid.org/0000-0003-2934-760">orcid.org/0000-0003-2934-760</ext-link>; Rajender Kumar, <ext-link ext-link-type="uri" xlink:href="http://orcid.org/0000-0002-3531-630X">orcid.org/0000-0002-3531-630X</ext-link>; Mayada Ahmed Abass, <ext-link ext-link-type="uri" xlink:href="http://orcid.org/0000-0001-6428-1284">orcid.org/0000-0001-6428-1284</ext-link>
</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>08</day>
<month>08</month>
<year>2025</year>
</pub-date>
<pub-date pub-type="collection">
<year>2025</year>
</pub-date>
<volume>12</volume>
<elocation-id>1645227</elocation-id>
<history>
<date date-type="received">
<day>11</day>
<month>06</month>
<year>2025</year>
</date>
<date date-type="accepted">
<day>22</day>
<month>07</month>
<year>2025</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2025 Wang, Kumar, Pattanaik, Kumar, Khawaf Aljaberi and Abass.</copyright-statement>
<copyright-year>2025</copyright-year>
<copyright-holder>Wang, Kumar, Pattanaik, Kumar, Khawaf Aljaberi and Abass</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p>
</license>
</permissions>
<abstract>
<p>Magnesium (Mg) alloys show promise for lightweight structural and biomedical applications, but they face challenges such as poor corrosion resistance and complex deformation behavior. This systematic review explores how Artificial Intelligence (AI), Machine Learning (ML), and Deep Learning (DL) address these limitations. These techniques enable the fast and accurate prediction and optimization of material properties, thereby reducing experimental effort and accelerating the design of high-performance Mg alloys. A multi-database validation approach using Scopus and Web of Science ensured methodological robustness when searching for AI, ML, and DL in Mg alloys. A comparative analysis of author keywords, index keywords, sources, authors, and countries confirmed strong thematic consistency between databases, thereby enhancing the credibility of the cluster-based bibliometric analysis. The PRISMA framework was used to ensure the structured literature search, eligibility assessment, and documentation of the selection process. 185 peer-reviewed articles (2015&#x2013;2025) were analyzed and organized into seven refined thematic clusters: &#x2018;mechanical behavior modeling using neural networks&#x2019;, &#x2018;AI-driven alloy design and compositional optimization&#x2019;, &#x2018;atomic-scale modeling and physics-guided learning&#x2019;, &#x2018;AI applications in welding and thermomechanical processing&#x2019;, &#x2018;biomaterials and microstructural optimization&#x2019;, &#x2018;corrosion modeling and degradation prediction&#x2019;, &#x2018;data-driven design and integrated optimization frameworks&#x2019;. The review highlights the extensive application of models, including Artificial Neural Networks, Convolutional Neural Networks, and hybrid frameworks that combine ML with optimization algorithms or physical simulations. These approaches enhance predictions on mechanical properties, microstructural changes, corrosion behavior, and processing results of Mg alloys. The study also discusses cross-cutting themes such as simulation speed-up metrics, model interpretability across domains, and limitations in dataset coverage. Findings indicate AI-based methods can expedite alloy design and performance optimization; however, challenges remain in data accessibility, model interpretability, and experimental validation. The study concludes that integrating physics-informed ML models, using multimodal data, and employing inverse design will be crucial for advancing the intelligent development of high-performance Mg alloys for sustainable engineering applications.</p>
</abstract>
<kwd-group>
<kwd>magnesium alloys</kwd>
<kwd>artificial intelligence</kwd>
<kwd>machine learning</kwd>
<kwd>deep learning</kwd>
<kwd>multidatabase validation</kwd>
<kwd>microstructure</kwd>
<kwd>corrosion</kwd>
<kwd>materials informatics</kwd>
</kwd-group>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Computational Materials Science</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec id="s1">
<title>1 Introduction</title>
<p>The rapid advancement of Artificial Intelligence (AI), Machine Learning (ML), and Deep Learning (DL) has revolutionized the field of materials science. It provides data-driven insights, predictive modeling, and accelerated material discovery. AI refers to machines that perform tasks typically requiring human intelligence, such as decision-making and problem-solving. ML is a subset of AI that enables systems to learn patterns from data and improve performance without being explicitly programmed. DL, a specialized subfield of ML, utilizes multi-layered neural networks to model complex relationships, particularly for high-dimensional data such as images or microstructures. AI as the overarching field, ML for classical algorithmic learning models (Random Forests, SVM), and DL for neural network-based architectures (CNNs, RNNs). Magnesium (Mg) alloys are recognized for their high strength-to-weight ratio, biodegradability, and suitability for structural and biomedical applications (<xref ref-type="bibr" rid="B73">Kaur R. et al., 2025</xref>). These characteristics present promising opportunities for intelligent computational analysis. However, these Mg alloys face significant limitations, such as poor corrosion resistance, low ductility, and complex microstructural responses. Addressing these challenges requires transitioning from standard experimental and simulation techniques to more scalable and effective computational methods. In recent years, AI-based approaches have been increasingly utilized to overcome these limitations by enabling the design of novel alloy compositions, predicting mechanical and corrosion behaviors, and simulating microstructural evolution under various processing conditions. These technologies offer substantial benefits in optimizing high-dimensional design spaces, assessing multiple objectives for performance measures, and uncovering hidden patterns in experimental and simulation datasets. DL shows strong promise in image-based microstructure analysis, segmentation, and inverse design workflows (<xref ref-type="bibr" rid="B57">Hou et al., 2024</xref>; <xref ref-type="bibr" rid="B72">Kan et al., 2024</xref>).</p>
<p>Mg alloys have garnered significant attention over the past few decades due to their promising applications in lightweight structural (<xref ref-type="bibr" rid="B114">Nithin et al., 2022</xref>) and biomedical sectors (<xref ref-type="bibr" rid="B56">Hou et al., 2023</xref>). The lightest metal available, Mg boasts an attractive strength-to-weight ratio, decent machinability, and great abundance, placing it at the forefront as a strong contender in fields ranging from the automotive (<xref ref-type="bibr" rid="B164">Zhang D. et al., 2022</xref>), aerospace (<xref ref-type="bibr" rid="B142">Viswanadhapalli et al., 2022</xref>), and the electronic industries (<xref ref-type="bibr" rid="B42">Filanovich et al., 2023</xref>) to biomedical implants (<xref ref-type="bibr" rid="B109">Mondal et al., 2024</xref>). Nevertheless, despite these merits, Mg alloys encounter several inherent drawbacks, including low corrosion resistance, limited room-temperature ductility, and complex deformation behavior, which limit their extensive use in demanding applications (<xref ref-type="bibr" rid="B153">Xinyu et al., 2020</xref>; <xref ref-type="bibr" rid="B110">Moses et al., 2023</xref>). Overcoming these setbacks, extensive efforts have been made to optimize alloy composition, microstructure properties, and processing methods (<xref ref-type="bibr" rid="B51">Gurgenc, 2019</xref>; <xref ref-type="bibr" rid="B6">Azqadan et al., 2023</xref>). Conventionally, these activities depend on trial-and-error experimental and computational simulation methods, which tend to be time-consuming, computationally intensive, and limited in navigating the ample design space of multicomponent alloy systems (<xref ref-type="bibr" rid="B57">Hou et al., 2024</xref>; <xref ref-type="bibr" rid="B72">Kan et al., 2024</xref>).</p>
<p>
<xref ref-type="fig" rid="F1">Figure 1</xref> illustrates the classification of Mg alloys into casting, wrought, rare earth-based, and biodegradable types, along with their respective applications in fields such as automotive, aerospace, electronics, and biomedical engineering (<xref ref-type="bibr" rid="B143">Wang L. et al., 2025</xref>).</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Classification of Mg alloys and their applications across industrial domains.</p>
</caption>
<graphic xlink:href="fmats-12-1645227-g001.tif">
<alt-text content-type="machine-generated">Flowchart showing types of magnesium alloys and their applications. Categories include Casting Alloys, Wrought Alloys, Rare Earth-Based Alloys, and Biodegradable Alloys, with examples like AZ91, AZ31, QE22, and Mg-Ca. Applications for these alloys range from automotive components, aerospace, electronics, defense, high-temperature aerospace applications, helicopter gearboxes, and missile components to biomedical implants and tissue engineering scaffolds.</alt-text>
</graphic>
</fig>
<p>Over the past decade, the integration of materials science with AI, ML, and DL has opened up new avenues in alloy design and property prediction (<xref ref-type="bibr" rid="B66">Ji et al., 2024</xref>; <xref ref-type="bibr" rid="B105">Mishra, 2024a</xref>). AI-powered models are capable of handling large, intricate, and high-dimensional data sets to detect hidden patterns, determine nonlinear relationships, and forecast material behavior with unprecedented accuracy and speed (<xref ref-type="bibr" rid="B142">Viswanadhapalli et al., 2022</xref>; <xref ref-type="bibr" rid="B140">Troncoso et al., 2023</xref>). For Mg alloys, AI/ML methods have become revolutionary tools for modeling mechanical behavior, optimizing microstructure, designing corrosion-resistant compositions, and accelerating atomic-scale simulations (<xref ref-type="bibr" rid="B44">Gerdes et al., 2021</xref>; <xref ref-type="bibr" rid="B16">Chandana and Kamesh, 2024</xref>). These data-driven approaches not only enhance the productivity of materials research but also provide new scientific insights into underlying mechanisms that are challenging to obtain using traditional approaches (<xref ref-type="bibr" rid="B111">Moses et al., 2024</xref>; <xref ref-type="bibr" rid="B162">Zaky et al., 2025</xref>).</p>
<p>ML methods, including Artificial Neural Networks (ANNs) (<xref ref-type="bibr" rid="B113">Murugesan et al., 2023</xref>), Support Vector Regression (SVR) (<xref ref-type="bibr" rid="B52">Gurgenc et al., 2020</xref>), Random Forests (RF) (<xref ref-type="bibr" rid="B46">Ghorbani et al., 2023b</xref>), Gradient Boosting Machines (GBMs) (<xref ref-type="bibr" rid="B136">Srinivasan et al., 2024</xref>), and more profound learning algorithms including Convolutional Neural Networks (CNNs) (<xref ref-type="bibr" rid="B4">Ansari et al., 2024</xref>) and Generative Adversarial Networks (GANs) (<xref ref-type="bibr" rid="B84">Li et al., 2025</xref>) have been more recently applied to various problems in the field of Mg alloy studies. These involve predicting mechanical behavior, such as yield strength (<xref ref-type="bibr" rid="B30">Deka et al., 2024</xref>), tensile strength (<xref ref-type="bibr" rid="B105">Mishra, 2024a</xref>), fatigue life (<xref ref-type="bibr" rid="B71">Kalayci et al., 2019</xref>), examination of microstructure characteristics such as grain size (<xref ref-type="bibr" rid="B96">Manroo and Malik, 2022</xref>), dislocation density (<xref ref-type="bibr" rid="B128">Salmenjoki et al., 2023</xref>), texture (<xref ref-type="bibr" rid="B170">Zhang Y. et al., 2023</xref>), process optimization of welding (<xref ref-type="bibr" rid="B156">Yadav and Khurana, 2022</xref>; <xref ref-type="bibr" rid="B9">Bansal et al., 2025</xref>) and deformation, including friction stir welding (<xref ref-type="bibr" rid="B129">Sefene et al., 2022</xref>; <xref ref-type="bibr" rid="B77">Krishnamurthy et al., 2025</xref>), extrusion (<xref ref-type="bibr" rid="B146">Wang Q. et al., 2023</xref>; <xref ref-type="bibr" rid="B30">Deka et al., 2024</xref>), modeling of corrosion (<xref ref-type="bibr" rid="B124">Radha, 2024</xref>) and biodegradation resistance (<xref ref-type="bibr" rid="B28">Dargusch et al., 2024</xref>) and designing novel alloy compositions with the desired performance properties (<xref ref-type="bibr" rid="B115">Oladapo et al., 2024</xref>). <xref ref-type="fig" rid="F2">Figure 2</xref> depicts the hierarchical structure between AI, ML, and DL. AI is the broadest field, encompassing all methods that enable machines to simulate human intelligence. Under AI, ML is the subfield dedicated to learning from data using statistical models and algorithms. DL, a sub-class of ML, utilizes multi-layered neural networks to learn to extract features and discover complicated patterns automatically, and therefore excels at tasks like image recognition, natural language processing, and materials science predictive modelling (<xref ref-type="bibr" rid="B119">Papagiannidis et al., 2025</xref>).</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>Layered representation of AI, ML, and DL.</p>
</caption>
<graphic xlink:href="fmats-12-1645227-g002.tif">
<alt-text content-type="machine-generated">Flowchart depicting the hierarchy of artificial intelligence. At the top is &#x22;Artificial Intelligence,&#x22; branching into &#x22;Machine Learning&#x22; and &#x22;Deep Learning.&#x22; Machine learning examples include &#x22;Linear Regression,&#x22; &#x22;Decision Trees,&#x22; and &#x22;Support Vector Machines.&#x22; Deep learning examples are &#x22;Convolutional Neural Networks,&#x22; &#x22;Recurrent Neural Networks,&#x22; and &#x22;Transformers.&#x22; Additionally, AI examples include &#x22;Rule-based Systems,&#x22; &#x22;Expert Systems,&#x22; and &#x22;Planning and Logic.&#x22;</alt-text>
</graphic>
</fig>
<p>In addition, advancements in material informatics have enabled the integration of AI with first-principles simulations (<xref ref-type="bibr" rid="B169">Zhang X. et al., 2024</xref>), such as Density Functional Theory (<xref ref-type="bibr" rid="B11">Batalovi&#x107; et al., 2022</xref>) and Molecular Dynamics (MD) (<xref ref-type="bibr" rid="B26">Cui et al., 2023</xref>), facilitating the efficient exploration of phase stability, solute behavior, and atomic-level mechanisms in Mg alloys. Methods such as active learning (<xref ref-type="bibr" rid="B47">Ghorbani et al., 2024</xref>), Bayesian optimization (<xref ref-type="bibr" rid="B103">Mi et al., 2024</xref>; <xref ref-type="bibr" rid="B1">Al Bukhari and Pervaiz, 2025</xref>), and transfer learning (<xref ref-type="bibr" rid="B131">Shabbir et al., 2021</xref>) are increasingly being used to reduce experimental and computational efforts while achieving maximum discovery and predictive accuracy. These AI-based approaches are also being utilized to aid in inverse design (<xref ref-type="bibr" rid="B84">Li et al., 2025</xref>), where specified material characteristics drive the generation of alloy compositions or processing routes. A schematic presentation of the role of AI, ML, and DL in Mg alloy science is shown in <xref ref-type="fig" rid="F3">Figure 3</xref>. It illustrates their diverse applications in alloy design, prediction of mechanical behavior, analysis of microstructure, corrosion simulation, and process optimization, as well as how smart, data-driven methodologies are revolutionizing traditional materials science operations (<xref ref-type="bibr" rid="B137">Suh et al., 2023</xref>; <xref ref-type="bibr" rid="B79">Kuriki et al., 2024</xref>).</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>Conceptual framework of AI, ML, and DL applications in Mg alloys.</p>
</caption>
<graphic xlink:href="fmats-12-1645227-g003.tif">
<alt-text content-type="machine-generated">Flowchart illustrating applications of artificial intelligence, deep learning, and machine learning. Each has specific applications: AI for corrosion analysis and alloy selection; deep learning for pit detection, image recognition, and implant performance; machine learning for property modeling, prediction, and optimization. These applications feed into research domains including biomaterials, material design, performance prediction, and manufacturing.</alt-text>
</graphic>
</fig>
<p>Despite such encouraging developments, the application of AI/ML in Mg alloy research remains disjointed and largely exploratory. Few exhaustive reviews systematically assess the existing picture, group research topics, detect methodological trends, and reveal pivotal knowledge gaps. The previous related reviews are computational modeling of additive manufacturing of porous Mg implants (<xref ref-type="bibr" rid="B59">Imran et al., 2022</xref>), computational advances in Mg-hydrogen interactions (<xref ref-type="bibr" rid="B10">Batalovi&#x107; et al., 2024</xref>), ML for alloys (<xref ref-type="bibr" rid="B90">Liu et al., 2022</xref>), Mg for advanced hydrogen storage (<xref ref-type="bibr" rid="B154">Xu et al., 2025</xref>), selective laser melting of Mg alloys (<xref ref-type="bibr" rid="B83">Li K. et al., 2023</xref>), ML for Mg-based composites (<xref ref-type="bibr" rid="B176">Zhu et al., 2023</xref>) and ML for corrosion resistance of Mg alloys (<xref ref-type="bibr" rid="B49">Guo et al., 2023</xref>). Current reviews of materials science tend to be generic in their approach to metallic systems or focus on a particular application, without providing a cluster-wise overview of the application of AI/ML/DL methods across various fields of Mg alloy research.</p>
<p>(<xref ref-type="bibr" rid="B75">Kaya, 2020</xref>) examined strategies to address the problematic features of Mg alloys, highlighting the use of stacking fault energy (SFE)&#x2013;based alloying and short-range order (SRO) considerations, while also discussing the role of calcium and other alloying elements. (<xref ref-type="bibr" rid="B55">H&#xf6;che et al., 2021</xref>). emphasized the advantages of Mg-based materials in aviation, highlighting their lightweight nature, superior die-casting properties, and the emergence of new alloys such as DieMag633 and MRI230D. (<xref ref-type="bibr" rid="B126">Rahim et al., 2022</xref>). focused on surface modifications of Mg alloys to control their rapid degradation in orthopedic implants, presenting critical insights into biocompatibility enhancements. (<xref ref-type="bibr" rid="B157">Yan et al., 2022</xref>). reviewed severe plastic deformation techniques, particularly high-pressure torsion (HPT), as effective methods for refining the microstructures of Mg alloys and enhancing their mechanical performance. (<xref ref-type="bibr" rid="B15">Calado et al., 2022</xref>). focused on WE series Mg alloys, examining their mechanical properties, corrosion resistance, and strategies to control their microstructure and improve durability. The studies (<xref ref-type="bibr" rid="B75">Kaya, 2020</xref>; <xref ref-type="bibr" rid="B55">H&#xf6;che et al., 2021</xref>; <xref ref-type="bibr" rid="B15">Calado et al., 2022</xref>; <xref ref-type="bibr" rid="B126">Rahim et al., 2022</xref>; <xref ref-type="bibr" rid="B157">Yan et al., 2022</xref>) highlighted ongoing innovations in Mg alloy design, processing, and applications, from aerospace to biomedical fields.</p>
<p>Compared to their application in more extensively studied material systems, such as steel and aluminum, AI, ML, and DL in Mg alloys present unique opportunities and challenges. In steel and aluminum systems, abundant standardized datasets and well-understood physical mechanisms enable highly accurate predictions of mechanical and corrosion properties using ML techniques. Due to their complex deformation mechanisms, texture sensitivity, and limited data availability, Mg alloys require more adaptive approaches, such as DL models for microstructural image analysis or hybrid frameworks for multi-objective optimization. While AI-ML and DL-driven models in steel and aluminum have primarily focused on strength and defect prediction, their application in Mg alloys must also account for issues such as poor corrosion resistance and limited ductility, highlighting the need for multimodal data integration and physics-informed learning in Mg alloy research. To fill this void, the current research systematically reviews AI, ML, and DL applications in Mg alloys using a cluster-based approach. This review presents a cluster-wise analysis of the methods employed, key findings, challenges, and research opportunities. Special attention is given to hybrid modeling approaches, microstructural input parameters, image-based DL applications, and inverse design frameworks. It also highlights trends in data usage, model performance, and experimental integration, offering a holistic view of the field&#x2019;s evolution.</p>
<p>In contrast to earlier reviews that provide a general overview of AI and ML applications in Mg alloys, this study employs a systematic methodology guided by PRISMA, alongside a cluster-based bibliometric analysis utilizing VOSviewer. This method facilitates a structured and data-oriented categorization of literature into clearly defined thematic clusters, including mechanical behavior modeling, microstructural simulations, alloy design, and corrosion forecasting. Moreover, the review sets itself apart by presenting detailed comparative analyses of various ML techniques, spanning from traditional models to hybrid and ensemble frameworks like GA-BPNN <xref ref-type="bibr" rid="B81">Li G. et al. (2023)</xref> and PSO-BP ANN <xref ref-type="bibr" rid="B113">Murugesan et al. (2023)</xref>; (<xref ref-type="bibr" rid="B86">Li X. et al., 2024</xref>), emphasizing their unique contributions to understanding the nonlinear behavior of Mg alloys. This review uniquely highlights advanced methodologies such as surrogate modeling, including GPR and neural network-based surrogates and multi-fidelity strategies that merge machine learning with physics-based simulations, aiming to improve prediction accuracy and minimize computational expenses. It also fills an important gap by addressing data cleaning, imputation, and categorical feature encoding specifically for metallurgical variables like rolling processes and crystal structures. A comparative analysis is provided on the differences in AI/ML applications across various material systems such as steel, aluminum, and magnesium, thus contextualizing Mg alloys within a broader materials science framework and outlining a pathway for future interdisciplinary exploration.</p>
<p>The primary objective of this study is to conduct a systematic literature review of the application of AI, ML, and DL techniques in Mg alloy research, focusing on key methodologies, material domains, and performance outcomes. To achieve this, the study is guided by the following specific objectives:<list list-type="simple">
<list-item>
<p>&#x2022; To map the thematic landscape of AI/ML/DL research in Mg alloys by applying keyword-based clustering using VOSviewer.</p>
</list-item>
<list-item>
<p>&#x2022; To categorize and critically analyze the literature into well-defined clusters such as mechanical behavior modeling, alloy design, atomic-scale simulations, corrosion prediction, and biomaterials optimization.</p>
</list-item>
<list-item>
<p>&#x2022; To identify the most frequently used AI/ML models and techniques (e.g., ANN, CNN, RF, DFT, Bayesian Optimization), assess their effectiveness, and determine the nature of the input features used (e.g., microstructure, composition, stress-strain data).</p>
</list-item>
<list-item>
<p>&#x2022; To evaluate current research gaps, including challenges related to data availability, model interpretability, experimental validation, and scalability across different alloy systems and application domains.</p>
</list-item>
<list-item>
<p>&#x2022; To provide a roadmap for future research, suggesting strategies such as multi-modal data integration, inverse design frameworks, physics-informed modeling, and AI-experiment integration for accelerating the design and development of high-performance Mg alloys.</p>
</list-item>
</list>
</p>
<p>This review systematically examines the use of AI, ML, and DL in tackling significant challenges in Mg alloy research. It covers issues like poor corrosion resistance, low ductility, and complex deformation mechanisms. Organizing the literature into clear thematic groups provides a straightforward framework for understanding progress in property prediction, alloy development, and microstructural refinement. The review also identifies research gaps, such as limited data and model interpretability, and suggests solutions like physics-informed models and digital twins. It connects materials science with data-driven engineering, offering timely insights for sustainable innovations in automotive, aerospace, and biomedical applications of Mg alloys.</p>
</sec>
<sec sec-type="materials|methods" id="s2">
<title>2 Materials and methods</title>
<sec id="s2-1">
<title>2.1 Literature search and data collection</title>
<p>To ensure thorough coverage of the literature on the application of AI, ML, and DL in Mg alloys, bibliometric data were gathered from two prominent scientific databases: Scopus (Elsevier) and Web of Science (Clarivate Analytics). The search utilized combinations of the keywords:</p>
<p>((TITLE-ABS-KEY (magnesium) AND ABS-KEY (alloy) AND TITLE-ABS-KEY (artificial intelligence) OR TITLE-ABS-KEY (ML) OR TITLE-ABS-KEY (DL)) AND (LIMIT-TO (LANGUAGE, &#x201c;English&#x201d;)) AND (LIMIT-TO (DOCTYPE, &#x201c;ar&#x201d;)))</p>
<p>In both databases, search filters were applied to include only articles in English and peer-reviewed research, excluding conference proceedings, reviews, and other non-research outputs. A total of 387 records were obtained from Scopus and 252 from Web of Science. After eliminating duplicate entries in the WoS dataset, 237 unique articles remained. The finalized datasets obtained from both databases formed the basis for the following cluster development and validation across multiple databases. <xref ref-type="table" rid="T1">Table 1</xref> provides a comprehensive overview of the literature search findings.</p>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Bibliometric data collection from Scopus and Web of Science: AI, ML, and DL in Mg-alloys.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Database</th>
<th align="left">Search query</th>
<th align="left">Search filters applied</th>
<th align="left">Records retrieved</th>
<th align="left">Records after duplicate removal</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">Scopus</td>
<td align="left">Mg alloy AND (AI OR ML OR DL)</td>
<td align="left">English; Article type</td>
<td align="left">387</td>
<td align="left">387</td>
</tr>
<tr>
<td align="left">Web of Science</td>
<td align="left">Mg alloy AND (AI OR ML OR DL)</td>
<td align="left">English; Article type</td>
<td align="left">252</td>
<td align="left">237</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s2-2">
<title>2.2 Justification for inclusion and exclusion criteria</title>
<p>To ensure the quality, consistency, and relevance of the analyzed dataset on AI, ML, and DL in Mg alloys, specific inclusion and exclusion criteria were established and applied during the literature search process. Only peer-reviewed journal articles were included, while conference proceedings, book chapters, reviews, editorials, letters, and non-research communications were excluded. The focus on journal articles ensures that the analysis relies on original research studies that have undergone thorough peer review. It leads to preserving scientific validity and methodological soundness.</p>
<p>Only publications in English were taken into account. This restriction was implemented to ensure consistency in language interpretation, keyword extraction, and semantic analysis during bibliometric mapping. The bibliometric tool VOSviewer heavily relies on accurate keyword co-occurrence and text mining (<xref ref-type="bibr" rid="B141">van Eck and Waltman, 2010</xref>; <xref ref-type="bibr" rid="B78">Kumar and Goel, 2021</xref>). If articles are considered in various languages, this can introduce inconsistencies due to translation differences or incomplete indexing of non-English terms. The applied filters ensure both methodological rigor and global relevance of the bibliometric findings on AI, ML, and DL in Mg alloys.</p>
</sec>
<sec id="s2-3">
<title>2.3 Multi-database validation using scopus and Web of Science</title>
<p>The comparative analysis between Scopus and Web of Science (WoS) datasets collected for AI, ML, and DL in Mg-alloys is depicted in <xref ref-type="sec" rid="s12">Supplementary Table SM1</xref>. It demonstrates a high degree of consistency across multiple bibliometric parameters for AI, ML, and DL in Mg alloys. For author keywords, index keywords, contributing authors, journal sources, and publishing countries, the overlap ranged from 70% to 85%. This indicates a strong thematic alignment between the two databases (Scopus and WoS), despite differences in their indexing scope and coverage. This cross-database validation supports the reliability and generalizability of the cluster analysis conducted using the Scopus dataset. <xref ref-type="fig" rid="F4">Figure 4</xref> presents a side-by-side comparison of key bibliometric parameters.</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>Comparative distribution of bibliometric elements across Scopus and Web of Science.</p>
</caption>
<graphic xlink:href="fmats-12-1645227-g004.tif">
<alt-text content-type="machine-generated">Bar chart comparing the overlap between Scopus and WoS for different categories: Author Keywords, Index Keywords, Authors, Sources, and Countries. Overlap is shown in green, with values of 17, 16, 14, 16, and 17 respectively. Similarity percentages in purple are 85, 80, 70, 80, and 85.</alt-text>
</graphic>
</fig>
<sec id="s2-3-1">
<title>2.3.1 Interpretation of overlaps and divergences</title>
<p>The comparison of two databases (with the understanding that, on identical datasets, more than two databases may be analyzed to assess similarities and dissimilarities; in this instance, the similarities pertain to data plotted for Scopus and WoS) revealed a high degree of thematic consistency concerning AI, ML, and DL studies focused on Mg alloys. An overlap of approximately 70%&#x2013;85% in core key phrases, leading journals, and principal authors further substantiated the concordance of bibliometric characteristics. The observed discrepancies were minor and predominantly attributable to indexing policies that influence citation practices. Nevertheless, both databases consistently identified major thematic areas, such as alloy design, corrosion prediction, and microstructural modeling related to material properties and phenomena. Accordingly, the differences observed are attributable to database-specific coverage nuances rather than reflecting substantive divergences within the research landscape.</p>
</sec>
<sec id="s2-3-2">
<title>2.3.2 Implications for reliability and reproducibility</title>
<p>The pronounced concordance between Scopus and WoS emphasizes the robustness and reproducibility of the bibliometric findings pertaining to AI, ML, and DL analyses of Mg alloys. Scopus was selected for subsequent systematic analysis, owing to its broader coverage and heightened sensitivity within the domains of materials science and computational modeling. The identified clusters exhibit applicability to a wider scholarly population, thereby affirming both the methodological rigor and the topical relevance of the systematic review.</p>
</sec>
</sec>
<sec id="s2-4">
<title>2.4 PRISMA framework for systematic review</title>
<p>The study utilized the PRISMA (Preferred Reporting Items for Systematic Reviews and Meta-Analyses) framework to ensure a structured and transparent approach to conducting the systematic literature review (<xref ref-type="bibr" rid="B118">Page et al., 2022</xref>; <xref ref-type="bibr" rid="B74">Kaur S. et al., 2025</xref>). Although bibliometric data were initially retrieved from both Scopus and WoS for multi-database validation, the Scopus database was selected as the primary source for detailed cluster formation and thematic analysis due to its broader journal coverage, more extensive indexing of materials science, engineering, and computational AI-related publications, and its seamless integration with the VOSviewer bibliometric mapping tool.</p>
<p>The PRISMA flow diagram (<xref ref-type="fig" rid="F5">Figure 5</xref>) shows 387 Scopus records initially retrieved. After screening for language, document type, and topic relevance, 254 studies remained. Of these, 162 highly cited articles were thematically clustered, and 92 relevant low-citation papers were added for comprehensive coverage, totaling 185 studies. The inclusion criteria focused on peer-reviewed, English-language journal articles applying AI/ML/DL to Mg alloys, while non-English texts, non-article types, and irrelevant studies were excluded to ensure thematic coherence and analytical quality.</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>Review workflow of AI/ML/DL and Mg alloy illustrated by PRISMA from the Scopus database.</p>
</caption>
<graphic xlink:href="fmats-12-1645227-g005.tif">
<alt-text content-type="machine-generated">Flowchart illustrating the process of identifying studies via databases and registers. In the &#x22;Identification&#x22; phase, 387 records were identified from Scopus databases using specific keywords. No records were removed before screening. In the &#x22;Screening&#x22; phase, 387 records were screened, with exclusions including 20 non-English and 71 non-articles. Of 296 reports sought for retrieval, 23 were not retrieved. In &#x22;Eligibility,&#x22; 273 reports were assessed, with exclusions for 19 irrelevant reports. Finally, 185 studies were included in the review, including 162 top-cited reports and 92 others.</alt-text>
</graphic>
</fig>
</sec>
<sec id="s2-5">
<title>2.5 Cluster formation and thematic analysis</title>
<p>VOSviewer (version 1.6) was utilized for cluster analysis, employing Scopus author keywords (N &#x3d; 815, aligned with Scopus export compatibility for WoS) as input. By applying a minimum occurrence threshold of three, a total of 46 keywords were organized into nine distinct clusters. These clusters reflect thematic trends related to the structural applications of AI, ML, and DL in the context of Mg alloys. Manual labeling was subsequently conducted, wherein the presence of keywords and representative articles associated with specific topics were analyzed contextually to ensure accurate thematic representation. For example, the keywords &#x201c;grain size&#x201d; and &#x201c;ANN&#x201d; were assigned the label &#x2018;mechanical behavior modeling using neyrak networks&#x2019;. This expert-guided approach facilitates the identification of emerging research areas and existing gaps within the AI-driven literature on magnesium alloys.<list list-type="simple">
<list-item>
<p>&#x2022; Cluster I: Mechanical behavior modeling using neural networks</p>
</list-item>
</list>
</p>
<p>Cluster I includes keywords such as aluminum alloys, ANN, constitutive model, EBSD, grain size, hardness, Mg, neural network, tensile strength, and twinning. Cluster I emphasizes predicting mechanical properties (e.g., tensile strength, hardness) and microstructural characteristics (e.g., grain size, twinning) through ANNs and constitutive modeling techniques.<list list-type="simple">
<list-item>
<p>&#x2022; Cluster II: Alloy design and performance prediction using AI/ML</p>
</list-item>
</list>
</p>
<p>Cluster II includes keywords such as alloy design, artificial neural network, corrosion behavior, crystal structure prediction, DL, genetic algorithm, mechanical property, metals and alloys, and Mg alloy. It highlights AI/ML methods like DL, genetic algorithms, and ANNs in designing new Mg alloys and predicting properties like corrosion behavior and crystal structure.<list list-type="simple">
<list-item>
<p>&#x2022; Cluster III: Atomic-scale simulations and ML potentials</p>
</list-item>
</list>
</p>
<p>Cluster III includes keywords such as density functional theory, dislocation, grain boundary segregation, ML potential, molecular dynamics, and tensile properties. This cluster emphasizes atomistic modeling techniques (DFT, MD) and ML-based interatomic potentials for understanding fundamental properties such as dislocations and grain boundaries.<list list-type="simple">
<list-item>
<p>&#x2022; Cluster IV: AI in welding and advanced processing techniques</p>
</list-item>
</list>
</p>
<p>Cluster IV includes keywords such as artificial intelligence, friction stir processing, friction stir welding, magnesium alloys, and metal hydrides. Cluster IV focused on the application of AI in welding and processing technologies, such as friction stir welding, particularly for magnesium alloys.<list list-type="simple">
<list-item>
<p>&#x2022; Cluster V: Biomaterials and microstructural optimization</p>
</list-item>
</list>
</p>
<p>Cluster V includes keywords such as biomaterials, magnesium alloy, mechanical properties, microstructure, and rare earth elements. It focuses on the biomedical applications of Mg alloys, examining how microstructure and rare-earth additions affect mechanical properties.<list list-type="simple">
<list-item>
<p>&#x2022; Cluster VI: First-principles and active learning approaches</p>
</list-item>
</list>
</p>
<p>Cluster VI encompasses keywords such as active learning, density functional theory (DFT), first-principles calculations, and magnesium (Mg) alloys. It combines first-principles (DFT) methods with active learning, representing a data-efficient approach to modeling and material discovery in Mg alloys.<list list-type="simple">
<list-item>
<p>&#x2022; Cluster VII: data-driven design and optimization techniques</p>
</list-item>
</list>
</p>
<p>Cluster VII encompasses feature selection, ML, and optimization keywords. It represents core ML techniques such as feature selection and optimization used in materials data analysis and model refinement.<list list-type="simple">
<list-item>
<p>&#x2022; Cluster VIII: Corrosion modeling</p>
</list-item>
</list>
</p>
<p>Cluster VIII includes keywords such as corrosion and prediction. A small but focused cluster specifically on using AI/ML for corrosion prediction in Mg alloys.<list list-type="simple">
<list-item>
<p>&#x2022; Cluster IX: Alloy composition and design strategies</p>
</list-item>
</list>
</p>
<p>Cluster IX includes keywords such as aluminum alloy and composition design. It focused on compositional optimization of Mg and Al alloys using computational design strategies.</p>
<p>This terminology will clearly define each cluster&#x2019;s thematic scope while remaining focused on the overall aim of mapping advancements in AI, ML, and DL within Mg alloy research.</p>
</sec>
<sec id="s2-6">
<title>2.6 Refining and updating clusters</title>
<p>The initial cluster structure was refined to enhance thematic clarity and analytical rigour within this systematic review. While the original nine clusters were generated using the VOSviewer keyword co-occurrence algorithm, subsequent manual curation and semantic evaluation revealed partial overlaps and redundancies. Consequently, the clusters were reorganised to improve conceptual coherence and ensure interpretive precision.</p>
<p>Specifically, several clusters were identified as converging around similar research themes and methodological frameworks. For example, clusters centred on atomic-scale simulations, such as Cluster III (Atomic-Scale Simulations and ML Potentials), and first-principles learning frameworks, such as Cluster VI (First-Principles and Active Learning Approaches), both encompassed studies utilising DFT, MD, and ML potentials.</p>
<p>Similarly, research categorised under Cluster II (Alloy Design and Performance Prediction using AI/ML) and Cluster IX (Alloy Composition and Design Strategies) were found to share a common focus on alloy development through AI/ML models and inverse design approaches. Although initially treated as distinct due to variations in keyword density, further keyword correlation analysis and metric-based structural cohesion indicated that these clusters should be consolidated to reflect their underlying conceptual alignment.</p>
<p>The refinement process was conducted in three systematic stages:<list list-type="simple">
<list-item>
<p>1. Re-evaluation of keyword semantics and article content to identify conceptual overlaps across clusters.</p>
</list-item>
<list-item>
<p>2. Consolidation of thematically related clusters, reducing the total from nine to seven to reflect a more coherent thematic structure.</p>
</list-item>
<list-item>
<p>3. Re-classification of articles into functional clusters, ensuring each article was assigned to a clearly defined thematic domain based on its dominant methodologies and core research objectives.</p>
</list-item>
</list>
</p>
<p>This refinement fulfils two primary objectives:<list list-type="simple">
<list-item>
<p>&#x2022; It mitigates conceptual fragmentation and redundancy within the analytic framework, thereby enhancing the structural integrity of the review.</p>
</list-item>
<list-item>
<p>&#x2022; It establishes a more systematic and intuitive classification of AI/ML/DL applications in magnesium alloy research, thereby increasing the review&#x2019;s utility for both academic researchers and industrial practitioners engaged in magnesium alloy development.</p>
</list-item>
</list>
</p>
<p>So, the refined seven clusters for thematic classification are as follows:<list list-type="simple">
<list-item>
<p>&#x2022; Cluster 1: Mechanical behavior modeling using neural networks</p>
</list-item>
<list-item>
<p>&#x2022; Focus: Prediction of mechanical properties (e.g., tensile strength, fatigue life) using ANN, BPNN, hybrid ML models, etc.</p>
</list-item>
<list-item>
<p>&#x2022; Cluster 2: AI-driven alloy design and compositional optimization (merged from previous Cluster II and Cluster IX)</p>
</list-item>
<list-item>
<p>&#x2022; Focus: Alloy composition tuning, inverse design, and multi-objective optimization using ML, GA, and Bayesian optimization.</p>
</list-item>
<list-item>
<p>&#x2022; Cluster 3: atomic-scale modeling and physics-guided learning (merged from previous Cluster III and Cluster VI)</p>
</list-item>
<list-item>
<p>&#x2022; Focus: DFT, molecular dynamics, ML potentials, and active learning for atomic-level behavior and material discovery.</p>
</list-item>
<list-item>
<p>&#x2022; Cluster 4: AI applications in welding and thermomechanical processing (based on Cluster IV)</p>
</list-item>
<list-item>
<p>&#x2022; Focus: AI-based modeling of friction stir welding, hot extrusion, and other advanced processing techniques.</p>
</list-item>
<list-item>
<p>&#x2022; Cluster 5: Biomaterials and microstructural optimization (based on Cluster V)</p>
</list-item>
<list-item>
<p>&#x2022; Focus: Microstructure-property correlation, rare earth additions, and design of biodegradable Mg-based biomaterials.</p>
</list-item>
<list-item>
<p>&#x2022; Cluster 6: Corrosion modeling and degradation prediction (based on Cluster VIII)</p>
</list-item>
<list-item>
<p>&#x2022; Focus: AI/ML-based prediction of corrosion resistance and biodegradation behavior in harsh or biological environments.</p>
</list-item>
<list-item>
<p>&#x2022; Cluster 7: Data-driven design and integrated optimization frameworks (refined from original Cluster VII)</p>
</list-item>
<list-item>
<p>&#x2022; Focus: Feature selection, surrogate modeling, hybrid ML frameworks, model interpretability, and uncertainty quantification.</p>
</list-item>
</list>
</p>
</sec>
<sec id="s2-7">
<title>2.7 Validation of thematic clusters</title>
<p>VOSviewer was chosen for its effectiveness in identifying thematic structures through bibliographic coupling and keyword co-occurrence mapping <xref ref-type="bibr" rid="B141">van Eck and Waltman, 2010</xref>. Its modularity optimization and local movement algorithm support precise clustering, making it particularly valuable for mapping multidisciplinary intersections like AI applications in Mg alloy research.</p>
<sec id="s2-7-1">
<title>2.7.1 Validation Process of thematic clusters</title>
<p>To ensure methodological rigour and thematic appropriateness in classifying AI, ML, and DL applications within Mg alloy research, a systematic, multi-phase validation strategy was implemented. This process resulted in a final set of seven coherent thematic clusters that collectively capture the prevailing research directions in the domain.<list list-type="simple">
<list-item>
<p>&#x2022; Initial Keyword Network Analysis: Keywords manually defined by the authors were extracted from the dataset using a minimum co-occurrence threshold of three from Scopus. A keyword co-occurrence network was subsequently generated using VOSviewer, with clustering based on link strength. This initial step facilitated the identification of preliminary themes, establishing a statistically driven structure upon which further semantic analysis could be conducted.</p>
</list-item>
<list-item>
<p>&#x2022; Expert-Based Semantic Validation: Domain experts in materials science and computational modelling conducted a review and interpretation of the preliminary clusters. The established thematic labels were confirmed as semantically valid and contextually appropriate by ensuring alignment with dominant keywords in each cluster as well as with the abstracts and content of representative articles. Clusters containing terms such as tensile strength, grain size, and ANN were classified under the thematic category Mechanical Behaviour Modelling Using Neural Networks.</p>
</list-item>
<list-item>
<p>&#x2022; Refinement and Thematic Consolidation: Redundancy among clusters was identified through expert review, focusing on semantic overlap and methodological convergence. Clusters addressing analogous techniques and research aims such as atomic-scale modelling (DFT, ML potentials) and active learning were consolidated into single thematic categories. This refinement reduced the original nine clusters to seven, enhancing thematic coherence while maintaining clear distinctions between cluster boundaries.</p>
</list-item>
<list-item>
<p>&#x2022; De-duplication and Reallocation of Articles: During the initial clustering process, some articles were assigned to multiple clusters due to shared keywords. A manual re-evaluation was undertaken to reassign each article to the most thematically appropriate cluster. This de-duplication process ensured that all studies within each research theme contributed uniquely to a clearly defined area of investigation.</p>
</list-item>
<list-item>
<p>&#x2022; Final Cross-Validation with Recent Literature: The refined clusters were validated against a curated collection of high-impact publications from 2023 to 2025. This cross-validation ensured that each cluster remained contemporarily relevant by verifying that representative abstracts aligned with those in recent literature and that cross-cluster similarity reflected emerging research themes and evolving terminology in AI-assisted materials design.</p>
</list-item>
</list>
</p>
<p>By employing this multi-stage validation framework, the review enhances both its analytical depth and interpretative credibility. The seven thematic clusters thus generated provide a structured and reliable foundation for mapping the landscape of AI, ML, and DL applications in Mg alloy research, offering both breadth and specificity reflective of the state-of-the-art in the field.</p>
</sec>
</sec>
<sec id="s2-8">
<title>2.8 Procedure: cluster-wise systematic review</title>
<p>After generating thematic clusters, a systematic review was conducted within each group. Cluster names were assigned based on author keywords used as filters to identify relevant articles. Since some keywords overlapped, particular articles appeared in multiple clusters. To avoid redundancy, duplicates were removed, and each article was assigned to the most appropriate cluster.</p>
</sec>
</sec>
<sec id="s3">
<title>3 Cluster-wise critical review of literature</title>
<p>This section presents a comprehensive, cluster-wise thematic analysis of the literature at the intersection of Mg alloys and AI/ML/DL techniques. Each cluster is critically analyzed to highlight its key trends, methodologies, performance metrics, and limitations. Special attention is paid to the types of ML/DL models applied, the datasets used, and the interpretability of results. Detailed tables supporting each cluster-wise discussion, including model-specific results, datasets, and AI techniques used, are provided in <xref ref-type="sec" rid="s12">Supplementary Tables SM1&#x2013;SM8</xref>. <xref ref-type="sec" rid="s12">Supplementary Figures SM1&#x2013;SM5</xref> support the main discussion and represent key input&#x2013;output relationships and model workflows across clusters, significantly improving interpretability, thematic clarity, and technical depth.</p>
<sec id="s3-1">
<title>3.1 Cluster 1: mechanical behavior modeling using neural networks</title>
<p>Cluster 1, &#x201c;mechanical behavior modeling using neural networks,&#x201d; emphasizes using ML and ANNs to accurately model essential mechanical properties, such as flow stress, tensile strength, and fatigue life. These data-driven models, encompassing hybrid and optimized ANN versions, demonstrate enhanced prediction accuracy and facilitate the practical assessment and optimization of Mg alloys in various processing and loading scenarios. Mg alloys, such as AZ31 and AZ31B, are valued for their lightweight and structural potential. However, they face limitations in mechanical performance, such as low ductility and fatigue resistance. Traditional modeling approaches often fail to capture the complex, nonlinear relationships between processing, microstructure, and mechanical properties.</p>
<p>Recent research has shown the successful application of ML and ANN in simulating the mechanical properties of AZ31 and AZ31B Mg alloys, as shown in <xref ref-type="sec" rid="s12">Supplementary Tables SM2</xref>. <xref ref-type="bibr" rid="B161">Yu et al. (2024)</xref> utilized a combined ML and energy-based model to forecast the low-cycle fatigue life of AZ31 alloy. This model surpassed traditional fatigue prediction techniques, exhibiting strength across various loading directions. <xref ref-type="bibr" rid="B147">Wang S. et al. (2024)</xref> examined the maximum thinning rate of AZ31 alloy through a hybrid BPNN-RF method, which incorporated a Genetic Algorithm (GA) and Dragonfly Optimization (DBO). The findings revealed the optimal formability conditions at 250&#xb0;C and noted a prediction error as low as 0.32%, highlighting the significant impact of the resistance coefficient on formability.</p>
<p>
<xref ref-type="bibr" rid="B113">Murugesan et al. (2023)</xref> focused on the flow stress behavior of AZ31B alloy using multiple ANN variants, including BP-ANN, GABP-ANN, and CFBP-ANN. The CFBP-ANN model yielded the most accurate results when trained on data from strain, temperature, and strain rate. <xref ref-type="bibr" rid="B170">Zhang Y. et al. (2023)</xref> utilized ANN to explore the relationship between tensile properties and crystallographic texture in AZ31 alloy. The model effectively linked texture features, such as Imax, D, PLD, and PTD, with mechanical outcomes, including yield strength and elongation, highlighting the importance of microstructural attributes. <xref ref-type="bibr" rid="B156">Yadav and Khurana (2022)</xref> utilized a combined ANN and GA framework to predict tensile strength, elongation, hardness, and grain size in AZ31B alloy joints. The model achieved a prediction error of less than 3% while optimizing joint performance across multiple objectives. <xref ref-type="bibr" rid="B61">Jaafreh et al. (2022)</xref> investigated stress concentration behavior using various ML models on pure Mg and AZ31. The ERT model demonstrated the highest accuracy, with grain size being the most significant factor; finer grains resulted in reduced stress concentration.</p>
<p>These studies confirm that hybrid or ensemble approaches combining ML and ANN-based models can effectively predict mechanical behaviors in Mg alloys. Models incorporating microstructural parameters, such as texture and grain size, exhibit enhanced predictive capability. The optimization techniques, such as GA and DBO, significantly improve the performance and reliability of these models, making them powerful tools for design and performance evaluation in materials engineering (<xref ref-type="bibr" rid="B61">Jaafreh et al., 2022</xref>; <xref ref-type="bibr" rid="B156">Yadav and Khurana, 2022</xref>; <xref ref-type="bibr" rid="B113">Murugesan et al., 2023</xref>; <xref ref-type="bibr" rid="B170">Zhang Y. et al., 2023</xref>; <xref ref-type="bibr" rid="B147">Wang S. et al., 2024</xref>; <xref ref-type="bibr" rid="B161">Yu et al., 2024</xref>).</p>
<p>
<xref ref-type="sec" rid="s12">Supplementary Tables SM3</xref> depicts recent studies (2021&#x2013;2025) that applied various ML and ANN techniques. It includes research aimed at predicting and enhancing the mechanical and microstructural characteristics of Al-Mg and Al-based alloys. The primary properties explored were tensile strength, flow stress, corrosion resistance, hardness, wear behavior, hydrogen storage capacity, and grain size.</p>
<p>
<xref ref-type="bibr" rid="B65">Jain et al. (2024)</xref> utilized the ensemble ML model CatBoost to predict the hardness of Al-Mg-X alloys. The alloy&#x2019;s composition and heat treatment data revealed exceptional performance. <xref ref-type="bibr" rid="B76">Kim et al. (2024)</xref> used ANN, CNN, and RF to identify new high-hardness Al-/Mg-based alloys. It also applied explainable AI to comprehend critical influencing factors. <xref ref-type="bibr" rid="B8">Bai et al. (2024)</xref> used backpropagation ANN and clustering to model flow stress and dislocation density in an Al-Zn-Mg-Cu-Zr alloy. The ML model achieved an R<sup>2</sup> of 98.67%.</p>
<p>Several studies have concentrated on Mg-based or hybrid Al-Mg alloys. <xref ref-type="bibr" rid="B16">Chandana and Kamesh (2024)</xref> utilized Bayesian-regularized ANN to forecast hydrogen storage and release in Mg-based alloys. It highlighted the significance of particle size and pressure. <xref ref-type="bibr" rid="B36">El-Garaihy et al. (2024)</xref> investigated the properties of ZX30 Mg alloy using ANN and Gaussian Process Regression, realizing that processing methods and the number of passes significantly impacted corrosion and yield strength. <xref ref-type="bibr" rid="B173">Zhu G. et al. (2025)</xref> confirmed high tensile strength (668 MPa) in Cu-Cr-Zr-Mg-Ti alloys by employing ANN and GA to capture micro-alloying effects. <xref ref-type="bibr" rid="B35">Efa (2024)</xref> applied BP-ANN with gradient descent to examine Ti-interlayer effects in AA7075 and AZ61A. It accurately predicted residual stress and peak temperature during friction stir welding (FSW).</p>
<p>Many studies highlighted hybrid or interpretable ML frameworks. <xref ref-type="bibr" rid="B67">Jiang L. et al. (2024)</xref> presented a data-driven design of advanced Al-Zn-Mg-Cu-Ti-Cr-Zr alloys. It correlated elemental additions with improved strength, toughness, and corrosion resistance using interpretable ML. <xref ref-type="bibr" rid="B120">Pei et al. (2024)</xref> combined ANN with internal state variable (ISV) and Arrhenius models for stress-strain prediction in Mg-Gd-Y-Zr alloys under hot forming. It showed excellent agreement with experimental data. <xref ref-type="bibr" rid="B81">Li G. et al. (2023)</xref> used GA-BPNN to predict the slurry temperature in ECP-processed 7075 Al and achieved R<sup>2</sup> &#x3d; 0.9988. <xref ref-type="bibr" rid="B108">Mokhtari et al. (2024)</xref> compared DL architectures, ANN, GRU, LSTM, and RNN. The results revealed that memory-enabled models, RNN and LSTM, predicted better tensile strength in Al-Mg alloys.</p>
<p>
<xref ref-type="bibr" rid="B53">Gurugubelli et al. (2023)</xref>; <xref ref-type="bibr" rid="B147">Wang S. et al. (2024)</xref> revealed that AI integrated with simulations or hybrid optimization GA-DBO was able to predict formability and tensile strength with reduced experimental dependency. <xref ref-type="bibr" rid="B155">Xue et al. (2023)</xref> predicted corrosion resistance in Al-Mg alloys using minimal input data. The study highlighted Mg content and annealing parameters as key features. <xref ref-type="bibr" rid="B105">Mishra (2024a)</xref> applied 6 ML models to FSW Mg alloys, with XGBoost achieved the highest R<sup>2</sup> (0.81), while <xref ref-type="bibr" rid="B140">Troncoso et al. (2023)</xref> used ML to detect twinning interfaces in Mg-10%Al alloys via stress field analysis. <xref ref-type="bibr" rid="B14">Byun et al. (2024)</xref> and <xref ref-type="bibr" rid="B99">Medghalchi et al. (2023)</xref> used advanced DL models (GAN-GRU, YOLOv5) for anisotropic deformation and micro-damage detection in ZK60 and Ca-alloyed Mg, respectively.</p>
<p>
<xref ref-type="bibr" rid="B63">Jagadeesh and Setti (2023)</xref> used ANN to predict wear and tribological behavior for Mg Ze41A alloys, while <xref ref-type="bibr" rid="B114">Nithin et al. (2022)</xref> used CNNs to predict grain evolution in Al-Si-Mg alloys with over 90% accuracy. <xref ref-type="bibr" rid="B98">Masood Chaudry et al. (2021)</xref> and <xref ref-type="bibr" rid="B134">Shu et al. (2022)</xref> employed Gradient-Boost Trees and graph-based neural networks (HGGAT) to model unexplored Al alloys and microstructure-property relationships, respectively.</p>
<p>ANN and hybrid ML approaches (e.g., GA-BPNN, PSO-BP ANN, ensemble ML) have remarkably succeeded in modeling and predicting complex mechanical behaviors in Al-Mg and Al-based systems. Hybrid or optimized ANN models integrate additional techniques like genetic algorithms, fuzzy logic, or swarm intelligence to enhance prediction accuracy and convergence speed. Compared to traditional ANNs, these models offer improved generalization and robustness in capturing the complex nonlinear behavior of Mg alloy properties. Models integrating microstructural features (e.g., grain size, DRX, texture) consistently demonstrate higher accuracy and better generalization. Optimization algorithms, such as GA, DBO, and PSO, enhance prediction performance and aid in solving multi-objective problems. DL techniques (CNNs, GRUs, GANs) are proving to be essential when handling complex microstructural data or small datasets, as demonstrated in the work by (<xref ref-type="bibr" rid="B114">Nithin et al., 2022</xref>; <xref ref-type="bibr" rid="B14">Byun et al., 2024</xref>). ML models replace traditional empirical models (Arrhenius) and accelerate materials discovery, process optimization, and property prediction. ML-driven modeling is transforming alloy design and characterization in the Al-Mg system. Integrating domain knowledge, microstructural data, and advanced ML frameworks is paving the way for high-performance alloy development, rapid prototyping, and reduced experimental burden.</p>
<p>
<xref ref-type="sec" rid="s12">Supplementary Tables SM4</xref> illustrates the application of cutting-edge ML and DL models, CNNs, GBT, and Graph Neural Networks (GNNs) to predict and analyze Al and Mg-based alloys&#x2019; properties and microstructural characteristics. <xref ref-type="bibr" rid="B76">Kim et al. (2024)</xref> presented a comprehensive ensemble ML framework that integrates ANN, CNN, and RF models to forecast hardness in Al-/Mg-based alloys. The research identified new high-hardness alloy compositions and utilized explainable AI methods to clarify the influence of individual elements and processing parameters. <xref ref-type="bibr" rid="B93">Lopes Marinho et al. (2024)</xref> explored various CNN architectures (U-Net, HR-Net, nnU-Net) to assess biodegradation and osseointegration in Mg-based biomedical implants. <xref ref-type="bibr" rid="B114">Nithin et al. (2022)</xref> concentrated on grain prediction in Al-Si-Mg alloys using a conventional CNN model and achieved over 90% accuracy in identifying &#x3b1;-Al grains. It confirmed the CNN&#x2019;s efficiency in image-based microstructural evaluation. <xref ref-type="bibr" rid="B98">Masood Chaudry et al. (2021)</xref> focused on structured data and employed GBT to predict hardness in Al-Cu-Mg-x alloys with less-explored compositions. The GBT model leveraged curated literature data and demonstrated exceptional predictive capability.</p>
<p>The studies in <xref ref-type="sec" rid="s12">Supplementary Tables SM4</xref> highlight the growing incorporation of DL and graph-based models in the design and analysis of alloys&#x2019; microstructure. CNNs (<xref ref-type="bibr" rid="B114">Nithin et al., 2022</xref>; <xref ref-type="bibr" rid="B93">Lopes Marinho et al., 2024</xref>) have confirmed strong performance in image-related tasks, such as segmentation and grain identification, making them essential for the automated analysis of microstructural images. GBT models (<xref ref-type="bibr" rid="B98">Masood Chaudry et al., 2021</xref>) excelled in predicting capabilities for structured tabular data when experimental data is scarce but well-organized. The rise of graph-based models, such as HGGAT (<xref ref-type="bibr" rid="B134">Shu et al., 2022</xref>), marks a significant advancement in materials informatics. The microstructural intricacies were represented through images or scalar values, as well as relational structures (e.g., grain networks). These models provide a more physics-informed perspective on ML, thereby enhancing generalization and interpretability. Advanced ML models, such as CNNs, GBTs, and graph networks, are adept at handling complex tasks involving image segmentation, pattern recognition, and structure-property relationships. These ML models pave the way for research for automated, explainable, and high-throughput materials.</p>
<p>
<xref ref-type="fig" rid="F6">Figure 6a</xref> depicts the most commonly used input parameters of ML models for predicting the mechanical behavior and microstructural features of Al- and Mg-based alloys. Hardness is the most frequently referenced parameter, highlighted in works such as (<xref ref-type="bibr" rid="B63">Jagadeesh and Setti, 2023</xref>; <xref ref-type="bibr" rid="B130">Shaban et al., 2023</xref>; <xref ref-type="bibr" rid="B36">El-Garaihy et al., 2024</xref>; <xref ref-type="bibr" rid="B65">Jain et al., 2024</xref>). Since hardness is a critical measure of material strength and durability, it is a logical focus for ML-driven prediction and optimization. The composition was also mentioned (<xref ref-type="bibr" rid="B98">Masood Chaudry et al., 2021</xref>; <xref ref-type="bibr" rid="B65">Jain et al., 2024</xref>; <xref ref-type="bibr" rid="B174">Zhu Y. et al., 2025</xref>) in alloy design and performance enhancement research. Stress and strain for assessing material deformation and flow behavior were prevalent in studies (<xref ref-type="bibr" rid="B113">Murugesan et al., 2023</xref>; <xref ref-type="bibr" rid="B8">Bai et al., 2024</xref>) Li 2024. Furthermore, grain size, a vital microstructural aspect affecting properties like strength, fatigue, and corrosion resistance, was emphasized in research such as (<xref ref-type="bibr" rid="B61">Jaafreh et al., 2022</xref>; <xref ref-type="bibr" rid="B36">El-Garaihy et al., 2024</xref>).</p>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>
<bold>(a)</bold> Most common input parameters in ML models, <bold>(b)</bold> Best performing ML models (reported).</p>
</caption>
<graphic xlink:href="fmats-12-1645227-g006.tif">
<alt-text content-type="machine-generated">Chart (a) shows a bar graph comparing the frequency of input parameters: hardness, composition, stress, strain, grain size, and aging. Hardness has the highest frequency, while aging has the lowest. Chart (b) is a horizontal bar graph indicating the number of studies mentioning performance for various machine learning models, such as CatBoost, ensemble models, and neural networks. Each model is listed with a scale from zero to one.</alt-text>
</graphic>
</fig>
<p>
<xref ref-type="fig" rid="F6">Figure 6b</xref> presents an overview of the ML models that consistently demonstrate high predictive performance in the literature reviewed. ANN is the most commonly used and top-performing model, cited in over ten studies, including (<xref ref-type="bibr" rid="B8">Bai et al., 2024</xref>; <xref ref-type="bibr" rid="B161">Yu et al., 2024</xref>; <xref ref-type="bibr" rid="B174">Zhu Y. et al., 2025</xref>). ANNs are particularly praised for their adaptability and capacity to model non-linear relationships between input parameters and mechanical outputs. The ML model, Backpropagation ANN (BP-ANN), has also received attention for its effectiveness in modeling flow stress and microstructural evolution, as noted in studies such as (<xref ref-type="bibr" rid="B113">Murugesan et al., 2023</xref>; <xref ref-type="bibr" rid="B8">Bai et al., 2024</xref>; <xref ref-type="bibr" rid="B86">Li X. et al., 2024</xref>). Gradient Boosted Trees (GBT) and SVR, mentioned in (<xref ref-type="bibr" rid="B98">Masood Chaudry et al., 2021</xref>; <xref ref-type="bibr" rid="B130">Shaban et al., 2023</xref>; <xref ref-type="bibr" rid="B146">Wang Q. et al., 2023</xref>; <xref ref-type="bibr" rid="B105">Mishra, 2024a</xref>) were recognized for their robustness and interpretability in predicting alloy properties. More complex models, CNNs and GANs, have been effectively utilized in image-based microstructural analysis and data augmentation (<xref ref-type="bibr" rid="B14">Byun et al., 2024</xref>; <xref ref-type="bibr" rid="B93">Lopes Marinho et al., 2024</xref>), showing impressive generalization capabilities. Furthermore, recurrent models such as LSTM and GRU outperformed traditional ANNs in sequence-based or simulation-derived datasets, as established in (<xref ref-type="bibr" rid="B108">Mokhtari et al., 2024</xref>). These trends reflect an increasing preference for DL models with memory or spatial learning functions in complex materials design challenges. A schematic representation of a CNN framework trained to predict tensile strength from electron backscatter diffraction (EBSD) or microstructure images is presented in <xref ref-type="sec" rid="s12">Supplementary Figure SM1</xref>.</p>
<sec id="s3-1-1">
<title>3.1.1 Conclusion and future directions for cluster 1</title>
<p>Cluster one highlights the significant impact of ML and ANNs in understanding the mechanical behavior of Mg alloys, such as AZ31, AZ31B, and Al-Mg systems. The hybrid versions of the ANN-based model incorporate optimization methods such as GA, DBO, and PSO. The hybrid ML models outperformed conventional empirical models. The predicted mechanical properties include flow stress, tensile strength, elongation, and fatigue life. Furthermore, integrating microstructural characteristics, such as grain size, texture, and dislocation density, has enhanced model precision and reliability. CFBP-ANN (<xref ref-type="bibr" rid="B113">Murugesan et al., 2023</xref>), PSO-BP ANN (<xref ref-type="bibr" rid="B86">Li X. et al., 2024</xref>), and hybrid BPNN-RF (<xref ref-type="bibr" rid="B147">Wang S. et al., 2024</xref>) illustrated how data-driven techniques can efficiently capture intricate, nonlinear relationships among processing conditions, microstructure, and mechanical responses. Comparative studies demonstrate that hybrid models such as PSO-BP ANN consistently outperform traditional ML models and even other hybrid approaches like GA-BPNN in terms of prediction accuracy and optimization efficiency. PSO-BP ANN achieved a higher R<sup>2</sup> value and better convergence in modeling flow stress and dynamic recrystallization behavior, highlighting its suitability for complex, multi-variable material systems.</p>
<p>Future research should focus on expanding the dataset diversity by incorporating multi-scale and multimodal data. They must cover stress-strain behavior under dynamic and multi-axial loading, microstructural changes throughout processing, and the onset of damage. Advanced frameworks such as DNNs, GANs, and graph-based models can achieve enhanced generalization and interpretability in predictions of mechanical behavior. Integrating ML models with FEA and digital twin frameworks will enable real-time, physics-informed decision-making for alloy design and process improvements.</p>
</sec>
</sec>
<sec id="s3-2">
<title>3.2 Cluster 2 AI-Driven alloy design and compositional optimization</title>
<sec id="s3-2-1">
<title>3.2.1 Alloy design and performance prediction using AI/ML</title>
<p>AI/ML approaches for alloy design and performance prediction, targeting Mg, Al, and their composites are shown in <xref ref-type="sec" rid="s12">Supplementary Tables SM5</xref>. The scrutinized studies demonstrated a wide variety of AI/ML models, encompassing interpretable ML, RFs, neural networks, and DL potentials and active learning frameworks. <xref ref-type="bibr" rid="B145">Wang Q. et al. (2025)</xref> introduced a highly interpretable ML model that integrates data augmentation, reconstruction, and a CCAS screening method for predicting the mechanical attributes of low-alloyed Mg alloys. The resultant alloy (MZAX 2000) attained an impressive strength-ductility balance, with an R<sup>2</sup> value exceeding 95%, underscoring the effectiveness of advanced feature engineering on model precision. <xref ref-type="bibr" rid="B80">Li C. et al. (2024)</xref> applied DL potentials in conjunction with DFT to predict the properties of Al<sub>2</sub>CuMg phases. The study considered a leading sample that exhibited exceptional rigidity and thermal conductivity. It demonstrated the potential for scaling atomistic-level predictions to assess performance.</p>
<p>
<xref ref-type="bibr" rid="B160">Yang et al. (2024)</xref> utilized RF regression to enhance SiCp/Al composites. The study yielded a model-predicted composite with a tensile strength of 561 MPa. It highlighted the benefits of merging ML with extensive property databases. <xref ref-type="bibr" rid="B107">Mo et al. (2025)</xref> adopted an active learning framework with Pareto optimization to design Al-Mg-Zn alloys. The study validated an alloy with an ultimate tensile strength (UTS) of 602 MPa and an elongation of 15.1%. The study emphasized the significance of iterative learning in multi-objective material optimization.</p>
<p>
<xref ref-type="bibr" rid="B3">Anne et al. (2024)</xref> investigated Mg/Al-Ce hybrid composites through decision trees and MLPs to analyze the impact of processing (ARB) and the addition of rare earth elements on microstructure and strength, achieving over a twofold enhancement in hardness and strength. <xref ref-type="bibr" rid="B103">Mi et al. (2024)</xref> further refined the alloy design technique using Bayesian optimization and active learning, leading to the discovery of high-strength Mg-Mn-based wrought alloys, highlighting expedited composition screening. <xref ref-type="bibr" rid="B70">Juan et al. (2024)</xref> and <xref ref-type="bibr" rid="B156">Yadav and Khurana (2022)</xref> presented additional insights into refining existing alloy systems. <xref ref-type="bibr" rid="B70">Juan et al. (2024)</xref> utilized ML descriptors to analyze the influence of trace Hf addition in Al-Zn-Mg-Cu alloys, while <xref ref-type="bibr" rid="B156">Yadav and Khurana (2022)</xref> employed a combination of ANN and GA algorithms to optimize FSW settings for AZ31B Mg alloys, effectively correlating welding conditions with microstructure and mechanical properties with high accuracy.</p>
<p>
<xref ref-type="sec" rid="s12">Supplementary Tables SM6</xref> outlines recent progress in using AI/ML techniques to predict corrosion behavior, microstructural changes, and phase-related characteristics in metallic materials, as well as Mg and Zn/Fe-based alloys. <xref ref-type="bibr" rid="B92">Liu Z. et al. (2025)</xref> applied multiscale DL to model corrosion and mechanical degradation in thermal barrier coatings (TBCs) on turbine blades. The DL model, trained on stress-damage data, accurately predicted TBC failure with error margins of 20%, indicating its potential for lifespan estimation in high-temperature environments. <xref ref-type="bibr" rid="B20">Chen Y. et al. (2024)</xref> demonstrated the interaction of a GA and cellular automata (CA) to model dynamic recrystallization (DRX) in AZ61 Mg alloys. The GA-optimized Arrhenius equation captured rheological behavior, while CA simulated grain morphology evolution, giving an accurate framework for microstructure control during hot deformation. <xref ref-type="bibr" rid="B27">Dai et al. (2024)</xref> employed ML to investigate the corrosion of WE43 Mg alloy in biologically relevant environments. The model revealed that bovine serum albumin (BSA) and wall shear stress (WSS) synergistically accelerate corrosion, providing a predictive tool for biodegradable implant environments.</p>
<p>Another study by <xref ref-type="bibr" rid="B19">Chen W. et al. (2024)</xref> focused on biodegradable Zn alloys, where ML models predicted ultimate tensile strength (UTS) and corrosion rate (CR) with low errors (0.95% and 5.5%, respectively). The integration of a visualization interface enables the rapid evaluation of Zn-Mn alloy performance, making it a valuable design platform. <xref ref-type="bibr" rid="B123">Qi et al. (2025)</xref> applied spatiotemporal DL using PredRNN and ConvLSTM architectures to simulate corrosion progression in MAO-coated Mg alloys. These models, trained on FEM-generated datasets, accurately predicted long-term degradation, with PredRNN outperforming others in capturing fine details and time-evolving behavior. <xref ref-type="bibr" rid="B29">Davydzenka et al. (2022)</xref> tackled data scarcity by combining ML with stochastic augmentation for accurate segmentation of &#xb5;CT images of Mg alloys. The augmentation significantly boosted segmentation accuracy from 81.1% to 90%, demonstrating the crucial role of data enhancement techniques in image-based property analysis. <xref ref-type="bibr" rid="B84">Li et al. (2025)</xref> introduced a Wasserstein autoencoder (WAE) combined with a property predictor to discover new Fe-based metallic glasses with high saturation magnetic flux density (Bs). The model successfully identified compositions with Bs values exceeding 1.5 T, as verified by experiments, demonstrating its strength in inverse design and high-dimensional optimization.</p>
<p>The interrelation matrix heatmap in <xref ref-type="fig" rid="F7">Figure 7a</xref> provides a visual representation of how various ML methods have been applied to predict material properties across different studies. The rows of the heatmap correspond to commonly used ML algorithms, including SVR, ANN, RF, XGBoost, Bayesian Optimization, DL, and GAs. The columns represent key predicted properties, including UTS, YS, EL, Corrosion Rate, Phase Prediction, and Microstructure Evolution. ANN has been widely applied in predicting UTS, as demonstrated in studies such as (<xref ref-type="bibr" rid="B156">Yadav and Khurana, 2022</xref>; <xref ref-type="bibr" rid="B19">Chen W. et al., 2024</xref>; <xref ref-type="bibr" rid="B103">Mi et al., 2024</xref>). Meanwhile, DL models have found strong applications in microstructure-related predictions, as seen in works (<xref ref-type="bibr" rid="B29">Davydzenka et al., 2022</xref>; <xref ref-type="bibr" rid="B79">Kuriki et al., 2024</xref>; <xref ref-type="bibr" rid="B123">Qi et al., 2025</xref>). <xref ref-type="fig" rid="F7">Figure 7a</xref> highlights that SVR has been predominantly used for predicting mechanical properties, such as UTS, YS, and EL, in studies (<xref ref-type="bibr" rid="B94">Lu et al., 2022</xref>; <xref ref-type="bibr" rid="B132">Shen et al., 2024</xref>). RF and XGBoost have also been applied to predict mechanical properties, as seen in (<xref ref-type="bibr" rid="B160">Yang et al., 2024</xref>; <xref ref-type="bibr" rid="B48">Guo et al., 2024</xref>), respectively. DL has been prominent in corrosion and microstructure evolution studies, owing to its ability to handle image data and complex non-linear relationships. GA is a powerful tool for optimization, and it appears to be underutilized for microstructure and phase prediction; however, it has been effectively integrated for multi-objective optimization in process modeling (<xref ref-type="bibr" rid="B156">Yadav and Khurana, 2022</xref>; <xref ref-type="bibr" rid="B19">Chen W. et al., 2024</xref>). Bayesian Optimization (<xref ref-type="bibr" rid="B45">Ghorbani et al., 2023a</xref>; <xref ref-type="bibr" rid="B103">Mi et al., 2024</xref>) has been applied for optimizing alloy compositions across multiple mechanical properties.</p>
<fig id="F7" position="float">
<label>FIGURE 7</label>
<caption>
<p>
<bold>(a)</bold> Interrelation matrix: ML methods vs. predicted properties, <bold>(b)</bold> Process types optimized in alloy studies, <bold>(c)</bold> Multi-objective optimization approaches used.</p>
</caption>
<graphic xlink:href="fmats-12-1645227-g007.tif">
<alt-text content-type="machine-generated">(a) A heatmap showing the interrelation between machine learning methods and predicted properties in alloy studies. The methods include SVR, ANN, RF, XGBoost, Bayesian Opt., DL, and GA, with various predicted properties. The number of studies is represented by color intensity.(b) A bar chart depicting the number of studies optimizing different process types in alloy research. Processes include welding, casting/die casting, additive manufacturing, heat treatment, formability studies, and general process optimization. Additive manufacturing and casting/die casting have the highest counts.(c) A bar chart illustrating the number of studies using different multi-objective optimization approaches. Approaches include Genetic Algorithm, Fuzzy Logic &#x2b; GA, Bayesian Optimization, Active Learning, Hybrid ML Models, and Multi-objective Index. Genetic Algorithm has the highest count.</alt-text>
</graphic>
</fig>
<p>
<xref ref-type="fig" rid="F7">Figure 7b</xref> illustrating the distribution of optimized process types across the reviewed studies. The most frequently explored process was casting and die casting (<xref ref-type="bibr" rid="B12">Behera et al., 2021</xref>; <xref ref-type="bibr" rid="B50">Gupta et al., 2021</xref>; <xref ref-type="bibr" rid="B170">Zhang Y. et al., 2023</xref>) and focused on minimizing casting defects and optimizing solidification parameters using ML and GA algorithms. Welding processes, FSW, formed another significant cluster, with studies (<xref ref-type="bibr" rid="B156">Yadav and Khurana, 2022</xref>; <xref ref-type="bibr" rid="B9">Bansal et al., 2025</xref>) applied ANN and DL models for defect detection and joint property enhancement. Additive manufacturing and heat treatment were also studied in the context of ML-based prediction and optimization (<xref ref-type="bibr" rid="B34">Dong et al., 2024</xref>; <xref ref-type="bibr" rid="B70">Juan et al., 2024</xref>). Other works have investigated formability (<xref ref-type="bibr" rid="B159">Yang et al., 2023</xref>) and general process parameter optimization, including hybrid composites and structure-property relationships (<xref ref-type="bibr" rid="B45">Ghorbani et al., 2023a</xref>; <xref ref-type="bibr" rid="B3">Anne et al., 2024</xref>). <xref ref-type="fig" rid="F7">Figure 7b</xref> illustrates the growing integration of ML in metallurgical processes to achieve better control, reduce defects, and enhance performance.</p>
<p>
<xref ref-type="fig" rid="F7">Figure 7c</xref> summarizes the multi-objective optimization techniques employed across the selected studies. The GA emerges as the most widely used method, often combined with other techniques ANN, to enhance optimization capabilities in complex design spaces. <xref ref-type="bibr" rid="B19">Chen W. et al. (2024)</xref> and <xref ref-type="bibr" rid="B156">Yadav and Khurana (2022)</xref> applied GA to optimize tensile strength, grain size, and corrosion resistance in Mg and zinc alloys. The combination of fuzzy logic with GA was implemented (<xref ref-type="bibr" rid="B50">Gupta et al., 2021</xref>) for defect minimization in pressure die casting. Bayesian Optimization, as used in (<xref ref-type="bibr" rid="B47">Ghorbani et al., 2024</xref>; <xref ref-type="bibr" rid="B103">Mi et al., 2024</xref>; <xref ref-type="bibr" rid="B132">Shen et al., 2024</xref>) offered a data-efficient route for exploring high-dimensional alloy composition spaces and improving mechanical properties. Active learning frameworks (<xref ref-type="bibr" rid="B122">Peng et al., 2023</xref>; <xref ref-type="bibr" rid="B107">Mo et al., 2025</xref>) demonstrated success in iteratively refining models to accelerate alloy finding. Emerging approaches to multi-objective evaluation indices (MOEI), introduced in (<xref ref-type="bibr" rid="B132">Shen et al., 2024</xref>) enable concurrent optimization of multiple properties such as UTS, yield strength, and elongation.</p>
</sec>
<sec id="s3-2-2">
<title>3.2.2 Alloy composition and design strategies</title>
<p>The research on alloy composition and design strategies of Cluster two highlights how ML, optimization algorithms, and computational modeling are changing alloy composition and design strategies (<xref ref-type="sec" rid="s12">Supplementary Tables SM7</xref>). <xref ref-type="bibr" rid="B171">Zhang Y. et al. (2025)</xref> utilized a Kriging-assisted Two Archive (KTA2) algorithm to optimize the filler composition for laser welding of 7075 aluminum alloy. This method significantly enhanced the microstructure and mechanical properties in just four iterations, demonstrating the speed and accuracy of AI-based composition design.</p>
<p>
<xref ref-type="bibr" rid="B166">Zhang H. et al. (2024)</xref> introduced a sustainable alloy design framework that utilizes Shapley Additive Explanations (SHAP) analysis and physicochemical factor screening to reduce the cobalt content in Cu-Ni-Co alloys. The model enabled a 64% reduction in cobalt without compromising tensile strength or electrical conductivity, highlighting the potential of interpretable ML to support green material design. <xref ref-type="bibr" rid="B107">Mo et al. (2025)</xref> employed active learning with Pareto optimization to balance strength and ductility in Al-Mg-Zn alloys. By building a model from limited experimental data, the research produced a composition with superior strength-ductility synergy, validated through microstructural characterization. In another interpretability-focused study, <xref ref-type="bibr" rid="B67">Jiang L. et al. (2024)</xref> developed an ML framework to investigate the impact of elemental properties on aluminum alloy performance. The inclusion of Ti, Cr, and Zr enabled simultaneous enhancement of strength, toughness, and corrosion resistance key requirements in aerospace and marine applications.</p>
<p>
<xref ref-type="bibr" rid="B41">Feng et al. (2023)</xref> addressed the well-known trade-off between strength and corrosion resistance in Al-Mg-Si alloys by employing a non-dominated sorting genetic algorithm (NSGA-II). The research successfully developed low-Cu, low-Mg alloys that exhibit enhanced corrosion resistance and mechanical properties, as corroborated by extensive phase analysis. <xref ref-type="bibr" rid="B168">Zhang S. et al. (2023)</xref> adopted a comprehensive strategy by integrating Bayesian optimization, ML, and thermodynamic simulations for designing Ti-modified casting alloys. The study enabled efficient predictions of composition-microstructure-property correlations by establishing a quinary thermodynamic database.</p>
<p>
<xref ref-type="bibr" rid="B23">Cheng et al. (2024)</xref> introduced an innovative method utilizing generative models and automatic differentiation to forecast stable Mg-Al alloy structures, significantly expediting the screening process and revealing new intermetallics with promising applications. <xref ref-type="bibr" rid="B68">Jiang et al. (2022)</xref> employed a property-oriented ML design system (MLDS) to identify aluminum alloys characterized by ultra-high strength and toughness. The identified compositions optimized Mg and Zn levels, along with dispersoids of Cr, Mn, Ti, and Zr to enhance grain structure and hinder the formation of undesirable phases.</p>
<p>
<xref ref-type="bibr" rid="B158">Yanase et al. (2022)</xref> utilized ML to investigate the effects of selective laser melting (SLM) parameters on Al-Si-Mg alloys, identifying key factors that influence densification and microstructure. The incorporation of double scanning improved density while preserving fine structures. <xref ref-type="bibr" rid="B89">Liu et al. (2020)</xref> employed Gaussian Process Regression to delineate a wider and optimized process window for laser powder bed fusion (LPBF) in AlSi10 Mg alloys, resulting in increased strength and ductility due to minor microstructural adjustments.</p>
</sec>
<sec id="s3-2-3">
<title>3.2.3 Conclusion and future directions for cluster 2</title>
<p>Recent advancements in the application of AI/ML methodologies to establish connections between microstructure and macroscopic corrosion behavior as well as mechanical performance emphasize the considerable potential of such approaches in alloy design and performance prediction. When specifically adapted for integration with physical simulations, DL models can substantially improve predictive capabilities related to structural evolution and degradation phenomena. Hybrid methodologies, such as Genetic Algorithm&#x2013;Cellular Automata (GA-CA) and Wasserstein Autoencoders (WAE), facilitate inverse design processes and enable microstructural optimization. These strategies not only accelerate alloy discovery but also reduce experimental costs and promote environmentally sustainable practices, while supporting the targeted development of materials with desired properties. Future research initiatives should prioritize the development of interpretable and more generalizable AI/ML frameworks, incorporate techniques from reinforcement learning and generative AI, and adopt closed-loop systems to enable autonomous alloy design across diverse processing conditions.</p>
</sec>
</sec>
<sec id="s3-3">
<title>3.3 Cluster 3: atomic-scale modeling and physics-guided learning</title>
<sec id="s3-3-1">
<title>3.3.1 Atomic-scale simulations and ML potentials</title>
<p>Cluster three highlights the convergence of atomistic simulations and ML techniques to explore the fundamental behavior of materials in Mg-based systems (<xref ref-type="sec" rid="s12">Supplementary Tables SM8</xref>). <xref ref-type="bibr" rid="B69">Jiang Q. et al. (2024)</xref> and <xref ref-type="bibr" rid="B43">Geng et al. (2025)</xref> employed density functional theory (DFT) and MD simulations to investigate hydrogen desorption and mechanical behavior in Mg-based systems, demonstrating the effectiveness of combining physical simulations with ML models in predicting complex thermodynamic behavior. Similarly, <xref ref-type="bibr" rid="B31">Deng (2024)</xref> developed a DL interatomic potential for the Mg-Fe-O system to study MgO exsolution at the Earth&#x2019;s core-mantle boundary.</p>
<p>ML methods are pivotal in accelerating property prediction, material discovery, and scaling up simulations. A range of ML techniques have been used across studies: ANNs (Bai 2024, (<xref ref-type="bibr" rid="B112">Motamedi et al., 2023</xref>; <xref ref-type="bibr" rid="B170">Zhang Y. et al., 2023</xref>), light gradient boosting machines (LGBM) (Fang 2025), DL potentials (<xref ref-type="bibr" rid="B40">Feng and Lu, 2024</xref>; <xref ref-type="bibr" rid="B72">Kan et al., 2024</xref>), and generative models (<xref ref-type="bibr" rid="B17">Chen et al., 2025</xref>). <xref ref-type="bibr" rid="B8">Bai et al. (2024)</xref> employed BP-ANN to predict dislocation density and flow stress from thermal simulation data of Al-Zn-Mg-Cu-Zr alloys, whereas <xref ref-type="bibr" rid="B38">Fang et al. (2025)</xref> used LGBM to screen high-performance binary alloy catalysts for glucose hydrogenation.</p>
<p>A significant portion of the studies focus on mechanical and thermophysical properties at the microstructural level, such as dislocation motion (<xref ref-type="bibr" rid="B26">Cui et al., 2023</xref>; <xref ref-type="bibr" rid="B72">Kan et al., 2024</xref>), twin strengthening (<xref ref-type="bibr" rid="B140">Troncoso et al., 2023</xref>; <xref ref-type="bibr" rid="B163">Zhang C. et al., 2025</xref>), phase transitions (<xref ref-type="bibr" rid="B139">Tian and Yu, 2021</xref>), and grain boundary segregation (<xref ref-type="bibr" rid="B102">Messina et al., 2021</xref>; <xref ref-type="bibr" rid="B100">Menon et al., 2024</xref>). These phenomena were analyzed using advanced ML-enhanced simulation workflows. <xref ref-type="bibr" rid="B100">Menon et al. (2024)</xref> used a surrogate ML model trained on thermodynamic integration data to predict yttrium segregation energies at grain boundaries in Mg alloys, achieving results that aligned well with experimental data.</p>
<p>Corrosion resistance and hydrogen storage were also key areas of research. W&#xfc;rger2019 and <xref ref-type="bibr" rid="B149">Wang Y. et al. (2024)</xref> combined ML models with DFT and electrochemical kinetics to evaluate Mg alloys and intermetallics for enhanced corrosion resistance, while <xref ref-type="bibr" rid="B69">Jiang Q. et al. (2024)</xref> developed a heterojunction material focused on improving hydrogen storage and controlling desorption. Methodologically, studies such as (<xref ref-type="bibr" rid="B2">&#xc1;lvarez-Zapatero et al., 2021</xref>; <xref ref-type="bibr" rid="B31">Deng, 2024</xref>; <xref ref-type="bibr" rid="B40">Feng and Lu, 2024</xref>) introduced large-scale or iterative training frameworks (like DP-GEN and neural network-based basin hopping) to train interatomic potentials, which significantly improved scalability and model generalizability. These workflows increase the accessibility of high-accuracy simulations for complex systems, including molten salts and nanoparticles.</p>
</sec>
<sec id="s3-3-2">
<title>3.3.2 First-Principles and Active Learning Approaches</title>
<p>It is exploring an increasing number of studies that utilize ML and first-principles calculations, along with active learning (AL) methods, to accelerate the discovery and improvement of Mg alloys (<xref ref-type="sec" rid="s12">Supplementary Tables SM9</xref>). Research by (<xref ref-type="bibr" rid="B47">Ghorbani et al., 2024</xref>; <xref ref-type="bibr" rid="B64">Jain et al., 2025</xref>; <xref ref-type="bibr" rid="B173">Zhu G. et al., 2025</xref>) emphasized the prediction of important mechanical properties, including tensile strength, yield strength, and elongation. This is achieved using algorithms like Gradient Boosting, KNN, and GPR. These models not only provide high prediction accuracy but also help identify significant features such as elemental composition, thermomechanical parameters, and microstructural descriptors that are essential for alloy design.</p>
<p>Parallel efforts by (<xref ref-type="bibr" rid="B21">Chen et al., 2020</xref>; <xref ref-type="bibr" rid="B152">Wu Y. et al., 2025</xref>; <xref ref-type="bibr" rid="B165">Zhang G. et al., 2025</xref>) illustrated the application of active learning and Pareto front optimization to enhance attributes such as the strength-ductility balance and energy efficiency in Mg-air batteries. These studies highlight the importance of data-efficient modeling, wherein a limited number of experimental iterations yield optimal results. In particular, <xref ref-type="bibr" rid="B152">Wu Y. et al. (2025)</xref> demonstrated the discovery of a high-performance electrolyte additive through a ML-guided adaptive method, establishing a new standard in Mg-air battery performance.</p>
<p>On the microstructural and thermodynamic aspects, researchers like (<xref ref-type="bibr" rid="B24">Choudhuri, 2021</xref>; <xref ref-type="bibr" rid="B60">Jaafreh et al., 2023</xref>; <xref ref-type="bibr" rid="B100">Menon et al., 2024</xref>) combined ML with DFT to explore stress concentration, solute segregation, and precipitate formation at the atomic scale. These studies offer profound physical insights, revealing that fine grain structures diminish stress concentration and that &#x3b2;1 precipitates in Mg-Nd alloys arise from stabilized substructures. <xref ref-type="bibr" rid="B18">Chen et al. (2022)</xref> and <xref ref-type="bibr" rid="B122">Peng et al. (2023)</xref> utilized ML on DFT-derived features to model solution behavior and atomic configurations, providing important guidance for multicomponent phase design. Advancements in hydrogen storage and corrosion resistance have emerged from hybrid methodologies. <xref ref-type="bibr" rid="B11">Batalovi&#x107; et al. (2022)</xref> employed GNNs and transfer learning to effectively predict hydride formation enthalpies, thus expediting the screening process in Mg-containing systems. <xref ref-type="bibr" rid="B148">Wang Y. et al. (2023)</xref> and <xref ref-type="bibr" rid="B12">Behera et al. (2021)</xref> showed how ML and GA can enhance corrosion resistance and optimize Mg recovery in industrial alloying processes, respectively. Meanwhile, <xref ref-type="bibr" rid="B121">Pei and Yin (2019)</xref> and <xref ref-type="bibr" rid="B144">Wang et al. (2021)</xref> investigated ductility mechanisms and stacking fault energies in Mg alloys, contributing valuable insights for developing rare-earth-free alloys.</p>
<p>MD is frequently employed; however, MD is predominantly a classical technique that relies on empirical or semi-empirical interatomic potentials, with relatively few exceptions. In contrast, <italic>ab initio</italic> or first-principles methodologies, such as DFT, are fundamentally grounded in quantum mechanics and do not require any pre-defined force fields. This distinction is critical, particularly in discussions concerning the reliability and applicability of AI models trained on data derived from these two fundamentally different simulation paradigms.</p>
</sec>
<sec id="s3-3-3">
<title>3.3.3 Conclusion and future directions for cluster 3</title>
<p>The research in Cluster three demonstrates how ML is revolutionizing atomistic simulations by enabling the analysis of material properties that are faster, more accurate, and easier to interpret. The work exemplifies ML&#x2019;s ability to enhance traditional methods for identifying new alloys (<xref ref-type="bibr" rid="B23">Cheng et al., 2024</xref>), adjusting plasticity (<xref ref-type="bibr" rid="B171">Zhang Y. et al., 2025</xref>), improving deformation resistance (<xref ref-type="bibr" rid="B43">Geng et al., 2025</xref>), and forecasting segregation behavior (<xref ref-type="bibr" rid="B100">Menon et al., 2024</xref>).</p>
<p>DP-GEN, a hybrid framework that integrates machine learning potentials with DFT and MD within a co-evolutionary loop, enabling scalable, accurate, and efficient exploration of diverse material systems. This approach facilitates accelerated phase identification, defect characterization, and property prediction. Departing from traditional reliance on intuition, trial-and-error methods, or classical optimization techniques, numerous cluster studies now adopt data-driven design strategies grounded in active learning and Bayesian optimization. However, several challenges persist, including the scarcity of experimental data, risks of overfitting due to limited datasets, and insufficient utilization of benchmark standards. Future research milestones should prioritize uncertainty quantification, experimental validation of AI-driven models, and multiscale integration bridging atomic-level insights with macroscopic material behavior.</p>
</sec>
</sec>
<sec id="s3-4">
<title>3.4 Cluster 4: AI in welding and advanced processing techniques</title>
<p>&#x201c;AI in welding and advanced processing techniques,&#x201d; cluster four studies presented in <xref ref-type="sec" rid="s12">Supplementary Tables SM10</xref>. It emphasizes the role of AI and ML in areas such as materials processing, performance prediction, hydrogen storage, and imaging. Mg-based alloys, including AZ31B, ZK30, WE43, and Mg-Gd alloys, have received considerable attention due to their advantageous properties for both structural and biomedical applications.</p>
<p>
<xref ref-type="bibr" rid="B67">Jiang Q. et al. (2024)</xref> and <xref ref-type="bibr" rid="B5">Athul et al. (2025)</xref> examined Mg hydride systems for hydrogen storage, utilizing density functional theory (DFT) alongside ML to foresee desorption characteristics and storage capacities. Regarding AI/ML methodologies, the studies explore diverse approaches. Conventional algorithms, such as RF and ANN, are employed in (<xref ref-type="bibr" rid="B150">Wiese et al., 2023</xref>; <xref ref-type="bibr" rid="B7">Bahari-Sambran et al., 2024</xref>), <xref ref-type="bibr" rid="B97">Maqbool et al. (2024)</xref>, and to predict high-temperature flow stress, corrosion behavior, and mechanical properties, respectively. DL techniques like U-Net and DenseNet are used in (<xref ref-type="bibr" rid="B32">D&#xed;az-Romero et al., 2023</xref>; <xref ref-type="bibr" rid="B101">Menze et al., 2024</xref>) for image segmentation in micro-CT imaging of bioresorbable scaffolds and sorting aluminum scrap using fused RGB, depth, and LIBS data. Evidence of hybrid models and optimizations is also present: <xref ref-type="bibr" rid="B97">Maqbool et al. (2024)</xref> applied virtual sample generation through particle swarm optimization (PSO) to improve ML accuracy, while Yadav and Khurana integrated an artificial neural network (ANN) with a genetic algorithm for optimizing friction stir welding.</p>
<p>Applications are equally diverse and (<xref ref-type="bibr" rid="B156">Yadav and Khurana, 2022</xref>; <xref ref-type="bibr" rid="B105">Mishra, 2024a</xref>; B et al., 2025) focused on welding and friction stir processing of Mg alloys and predicted tensile strength, wear, and corrosion outcomes based on tool parameters. <xref ref-type="bibr" rid="B116">&#xd6;sterreicher et al. (2024)</xref> and <xref ref-type="bibr" rid="B150">Wiese et al. (2023)</xref> employed ML models to predict grain structure and anisotropic behavior during extrusion processes. In biomedical domains, (<xref ref-type="bibr" rid="B101">Menze et al., 2024</xref>), combined synchrotron-based micro-CT and DL to analyze degradation morphology in coronary implants. Even natural language processing (NLP) found its place (<xref ref-type="bibr" rid="B106">Mishra, 2024b</xref>) applied five summarization algorithms to extract key knowledge from FSW literature, evaluating them with the ROUGE metric. The ML framework for predicting post-treatment mechanical properties from thermal parameters, namely, solutionizing temperature, aging time, and cooling rate is depicted in <xref ref-type="sec" rid="s12">Supplementary Figure SM2</xref>.</p>
<sec id="s3-4-1">
<title>3.4.1 Conclusion and future directions for cluster 4</title>
<p>Cluster four studies collectively demonstrate the extensive role of AI in contemporary materials science. ML facilitates the accurate prediction of physical properties, corrosion patterns, and mechanical strength in various Mg alloys, as shown in (<xref ref-type="bibr" rid="B150">Wiese et al., 2023</xref>; <xref ref-type="bibr" rid="B97">Maqbool et al., 2024</xref>) and others. DL highlighted in (<xref ref-type="bibr" rid="B32">D&#xed;az-Romero et al., 2023</xref>; <xref ref-type="bibr" rid="B101">Menze et al., 2024</xref>), revolutionizes the processing of high-resolution images and multi-sensor data, automating intricate processes such as bio-implant evaluation and scrap sorting. Research in (<xref ref-type="bibr" rid="B127">Rahnama and Sridhar, 2019</xref>) emphasized the significance of unsupervised learning for clustering hydride materials, which supports material finding. Furthermore, the NLP-focused approach in (<xref ref-type="bibr" rid="B106">Mishra, 2024b</xref>) showed the potential of AI to enhance the scientific review process.</p>
<p>These studies suggest a future where AI-powered tools can expedite innovation, reduce experimental costs, and enhance the understanding of material properties. The synergy of experimental data, simulations, and intelligent algorithms fosters better decision-making in materials design, production, and sustainability.</p>
</sec>
</sec>
<sec id="s3-5">
<title>3.5 Cluster 5: Biomaterials and microstructural optimization</title>
<p>Cluster five focuses on biomaterials, microstructural optimization, and the incorporation of rare earth (RE) elements in Mg alloys, with an emphasis on both biomedical and structural applications. The reviewed studies span a range of alloy systems (e.g., AZ31B, AZ61, WE43, ZE62, ZK60) and applied a diverse suite of ML and DL techniques, including ANN, CNN, SVM, GP, GPR, KNN, Extra Trees, and AIMD simulations, <xref ref-type="sec" rid="s12">Supplementary Tables SM11</xref>.</p>
<p>Key studies (<xref ref-type="bibr" rid="B85">Li et al., 2021</xref>; <xref ref-type="bibr" rid="B125">Raguraman et al., 2024</xref>; <xref ref-type="bibr" rid="B95">Ma et al., 2025</xref>) highlighted biodegradable implant alloys, with ML models accurately predicting corrosion, fracture, and degradation behavior critical for orthopedic applications. Other works such as (<xref ref-type="bibr" rid="B21">Chen et al., 2020</xref>; <xref ref-type="bibr" rid="B172">Zhang et al., 2020</xref>; <xref ref-type="bibr" rid="B138">Suh et al., 2022</xref>) emphasized process optimization (e.g., ECAP, SPD, aging), improved mechanical properties such as yield strength (YS), ultimate tensile strength (UTS), and elongation.</p>
<p>Additive manufacturing studies (<xref ref-type="bibr" rid="B89">Liu et al., 2020</xref>; <xref ref-type="bibr" rid="B158">Yanase et al., 2022</xref>) used ML to optimize parameters for densification and microstructure refinement. <xref ref-type="bibr" rid="B39">Farooq et al. (2025)</xref> investigated combustion behavior and fire resistance, essential for aerospace alloys.</p>
<p>ML-assisted optimization outperformed traditional experimentation by reducing trials and enhanced predictive accuracy. <xref ref-type="bibr" rid="B21">Chen et al. (2020)</xref> achieved a 27% increase in strength using just four experiments guided by ML, while <xref ref-type="bibr" rid="B64">Jain et al. (2025)</xref> demonstrated high predictive capability (R<sup>2</sup> &#x3d; 97.2%) using ensemble methods. Furthermore, rare earth additions (e.g., Y, Gd, La, Ce) are consistently linked to microstructure refinement and property enhancement, as seen in (<xref ref-type="bibr" rid="B117">Otieno et al., 2024</xref>; <xref ref-type="bibr" rid="B151">Wu H. et al., 2025</xref>). The SHAP summary plot illustrates the relative contributions of individual features toward predicting the biodegradation rates of magnesium-based implants, as depicted in <xref ref-type="sec" rid="s12">Supplementary Figure SM3</xref>.</p>
<sec id="s3-5-1">
<title>3.5.1 Conclusion and future directions for cluster 5</title>
<p>The integration of ML with alloy design and microstructural engineering methodologies is already reshaping the future of structural and biomedical magnesium alloy development. ML accelerates process&#x2013;property optimization and facilitates deeper insights into the relationships between microstructure and material behavior. Looking ahead, it is recommended that research efforts emphasize the fusion of multi-modal data, the advancement of inverse design strategies, the development and utilization of open-source datasets, and the incorporation of physics-informed learning. Such approaches will enable the design of high-performance, application-specific magnesium alloys.</p>
</sec>
</sec>
<sec id="s3-6">
<title>3.6 Cluster 6: corrosion modeling</title>
<p>A wide array of research centered on AI/ML-based corrosion modelling was conducted (<xref ref-type="sec" rid="s12">Supplementary Tables SM12</xref>). The primary focus is on Mg alloys and related materials, including aluminum, zinc, and high-entropy alloys (HEAs). These studies employed various ML algorithms, including ANN, RF, SVR, XGBoost, DT, GA, and hybrid models, to predict corrosion rates, mechanical performance, hydrogen evolution, grain size, stress, fatigue life, and phase development.</p>
<p>Many studies focused on biodegradable Mg alloys (WE43, AZ80, ZK30, AZ31, ZX10) to enhance their <italic>in vitro</italic> and <italic>in vivo</italic> corrosion behavior, mechanical strength, and biomedical applicability. Some research investigated their coating properties, hydrogen storage potential, and the impact of alloy composition and processing parameters on degradation and overall performance. <xref ref-type="bibr" rid="B28">Dargusch et al. (2024)</xref> and <xref ref-type="bibr" rid="B97">Maqbool et al. (2024)</xref> employed CT image-based ML and virtual sample generation to model hydrogen production and corrosion induced by friction stir processing, respectively.</p>
<p>Alongside experimental data, various studies utilized physics-based simulations such as FEM, DFT, and phase field modeling, enhanced by ML for greater predictive accuracy. Techniques such as active learning, SHAP analysis, and multi-objective optimization were employed to enhance feature selection and facilitate the interpretation of model outcomes, thereby bridging the gap between data science and materials engineering. In addition to Mg alloys, research on Al-Mg-Si, Zn-based biodegradable alloys, LHEAs, and Al&#x2013;Li aerospace alloys illustrates the broad applicability of ML in studying corrosion and property trade-offs across materials. Some works, such as (<xref ref-type="bibr" rid="B175">Zhu et al., 2024</xref>; <xref ref-type="bibr" rid="B87">Liang et al., 2024</xref>), also feature Bayesian learning and explainable AI, showcasing sophisticated hybrid frameworks for designing and forecasting the performance of smart materials. An LSTM-based time-series model for predicting the evolution of grain size in magnesium alloys under dynamic thermal conditions is illustrated in <xref ref-type="sec" rid="s12">Supplementary Figure SM4</xref>.</p>
<sec id="s3-6-1">
<title>3.6.1 Conclusion and future directions for cluster 6</title>
<p>Cluster 6 studies signify a significant shift towards data-driven corrosion science, where ML enhances both traditional experimental and computational techniques. Mg alloys are a key focus due to their lightweight nature, degradability, and biocompatibility, rendering them excellent choices for implants and energy applications. The studies demonstrate the capability of ML to model intricate, nonlinear interactions in corrosion behavior, particularly when supplemented with physics-based data and expertise.</p>
<p>In contrast, investigations into different alloy systems reveal transferable frameworks and cutting-edge methodologies, such as active learning and deep potential models, applicable across various material domains.</p>
</sec>
</sec>
<sec id="s3-7">
<title>3.7 Cluster 7: data-driven design and optimization techniques</title>
<p>Cluster seven studies in <xref ref-type="sec" rid="s12">Supplementary Tables SM13</xref> highlight the increasing influence of ML and data-driven optimization in materials design, considering Mg alloys. Many of these works utilized ML algorithms, including XGBoost, SVR, neural networks, RFs, and ensemble models, to predict and enhance mechanical, electrochemical, and thermal properties.</p>
<p>In Mg alloys, multiple studies (<xref ref-type="bibr" rid="B37">El-Sanabary et al., 2024</xref>; <xref ref-type="bibr" rid="B88">Ling et al., 2024</xref>; <xref ref-type="bibr" rid="B103">Mi et al., 2024</xref>; <xref ref-type="bibr" rid="B91">Liu X. et al., 2025</xref>) investigated aspects such as anode performance, corrosion resistance, and mechanical behavior through ML-guided design. <xref ref-type="bibr" rid="B88">Ling et al. (2024)</xref> and <xref ref-type="bibr" rid="B91">Liu X. et al. (2025)</xref> integrated ML with multi-objective optimization strategies, resulting in high-performance alloy compositions, such as Mg-Ca and Mg-Al-Zn-Cu. <xref ref-type="bibr" rid="B103">Mi et al. (2024)</xref> employed Bayesian active learning to develop wrought alloys with outstanding tensile properties, whereas <xref ref-type="bibr" rid="B37">El-Sanabary et al. (2024)</xref> improved ECAP processing parameters for wear resistance by combining ML and DOE- GA approaches. <xref ref-type="bibr" rid="B25">&#xc7;olak (2025)</xref> and <xref ref-type="bibr" rid="B22">Cheng et al. (2025)</xref> expanded ML&#x2019;s application to high-entropy alloys and bulk metallic glass (BMG), respectively, using ANNs and stacking ensemble learning alongside SHAP analysis for enhanced model interpretability. These studies prioritized model accuracy and interpretability in forecasting complex properties such as discharge capacity and glass-forming ability.</p>
<p>In addition to Mg alloys, (<xref ref-type="bibr" rid="B82">Li H. et al., 2024</xref>; <xref ref-type="bibr" rid="B33">Dong et al., 2023</xref>), applied feature selection and descriptor-based regression to design Al&#x2013;Li and hydrogen storage alloys, respectively, illustrating how ML supports compositional screening. <xref ref-type="bibr" rid="B33">Dong et al. (2023)</xref> utilized SHAP values to inform element selection and forecasted high-capacity Mg-Sm and Mg-Ni-Sm alloys.</p>
<p>Several investigations emphasized hybrid methodologies. For example, <xref ref-type="bibr" rid="B50">Gupta et al. (2021)</xref> and <xref ref-type="bibr" rid="B62">Jafari et al. (2015)</xref> merged fuzzy logic, Taguchi methods, and genetic algorithms to optimize manufacturing processes like pressure die casting and L-bending, while (<xref ref-type="bibr" rid="B135">Song et al., 2019</xref>) combined backpropagation neural networks with the gray wolf optimization algorithm (GWOA) to enhance weld strength in dissimilar metal joints.</p>
<p>Finally, <xref ref-type="bibr" rid="B133">Shimanek et al. (2022)</xref> and <xref ref-type="bibr" rid="B62">Jafari et al. (2015)</xref> bridged atomic-scale descriptors and macro-scale properties. (<xref ref-type="bibr" rid="B133">Shimanek et al., 2022</xref>). proposed atomic features for ML modeling of shear strength, while <xref ref-type="bibr" rid="B62">Jafari et al. (2015)</xref> combined multi-objective evolutionary algorithms with ML to predict age-hardening behavior in Al alloys, showing that preprocessing significantly improves model accuracy. <xref ref-type="sec" rid="s12">Supplementary Figure SM5</xref> illustrates a data-driven optimization framework combining experimental data, simulation outputs, and literature sources with ML and optimization algorithms.</p>
<sec id="s3-7-1">
<title>3.7.1 Conclusion and future directions for cluster 7</title>
<p>Cluster seven highlights a shift from trial-and-error to data-driven alloy design using ML and optimization algorithms (e.g., GA, BOA, GWOA), enhanced by interpretability tools like SHAP. Future efforts should integrate ML with multi-scale simulations (DFT, MD, FEM) and phase-field modeling to improve physical insights, while closed-loop experimentation and open datasets will accelerate alloy discovery.</p>
</sec>
</sec>
</sec>
<sec id="s4">
<title>4 Cross-cutting technical perspectives and strategic outlook: AI, ML and DL in Mg alloy research</title>
<p>This section delineates AI/ML/DL applications in Mg alloy research, emphasizing computational acceleration, model interpretability, algorithmic diversity, and the translational gap between academic modelling and real-world applications.</p>
<sec id="s4-1">
<title>4.1 Revealing non-obvious correlations and enabling predictive power</title>
<p>The transformative potential of AI, ML, and DL in Mg alloy research is most evident in their capacity to uncover previously inaccessible structure property relationships. For example, CNNs have been effectively trained on EBSD maps to predict tensile strength and fracture toughness, capturing textural and grain boundary features beyond the reach of conventional statistical methodologies. This obviates the necessity for manual feature engineering, facilitating the extraction of insights from high-dimensional microstructural datasets.</p>
<p>Similarly, unsupervised learning methods and representation learning frameworks, such as autoencoders, demonstrate potential for distilling complex microstructural images into latent vectors that correlate with mechanical and corrosion performance. RF and SVM regression models have also been applied in biomedical contexts to relate alloy composition and processing parameters to biodegradation rates, thereby offering actionable clinical guidance for the design of magnesium-based implants.</p>
<p>Unlike linear modelling, AI techniques can capture non-linear, multi-parametric interactions, including the synergistic effects of alloying elements (Zn, Ca, Mn) on ductility and corrosion resistance. Modelling such intricate interactions through first-principles or empirical equations presents considerable challenges.</p>
</sec>
<sec id="s4-2">
<title>4.2 Acceleration of high-fidelity simulations</title>
<p>AI and ML models play an increasingly pivotal role in accelerating computationally intensive simulations. ML potentials trained on high-level <italic>ab initio</italic> data, such as DFT, can reproduce PES features with significantly reduced computational costs. For example,:<list list-type="simple">
<list-item>
<p>&#x2022; Deep neural network potentials (e.g., DeepMD, SchNet) can achieve speedups over DFT by factors ranging from 10<sup>3</sup> to 10<sup>5</sup> while maintaining chemical accuracy (<xref ref-type="bibr" rid="B54">He et al., 2023</xref>).</p>
</list-item>
<list-item>
<p>&#x2022; Gaussian Approximation Potentials (GAPs) and Moment Tensor Potentials (MTPs) demonstrate comparable efficiency, enabling large-scale atomistic simulations of magnesium alloys (<xref ref-type="bibr" rid="B58">Imbalzano et al., 2018</xref>).</p>
</list-item>
</list>
</p>
<p>Key benchmarking metrics for evaluating the efficiency of AI-driven simulation methods relative to classical algorithms include:<list list-type="simple">
<list-item>
<p>&#x2022; Wall-time per configuration,</p>
</list-item>
<list-item>
<p>&#x2022; Speed-up ratio (AI vs. DFT/MD),</p>
</list-item>
<list-item>
<p>&#x2022; Root Mean Square Error (RMSE) in energy or force prediction,</p>
</list-item>
<list-item>
<p>&#x2022; Scaling behaviour with system size,</p>
</list-item>
<list-item>
<p>&#x2022; Data efficiency (performance relative to the size of the training dataset).</p>
</list-item>
</list>
</p>
</sec>
<sec id="s4-3">
<title>4.3 Contextual relevance of model interpretability</title>
<p>The importance of model interpretability is contingent upon the application domain. In PES prediction and atomic-scale simulations, predictive accuracy and scalability typically take precedence over interpretability. Conversely, in biomedical applications particularly where Mg alloys are deployed as transient implants high interpretability is essential to ensure safety, trust, and regulatory compliance. Illustrative approaches include:<list list-type="simple">
<list-item>
<p>&#x2022; SHAP for understanding feature contributions in property predictions <xref ref-type="bibr" rid="B166">Zhang H. et al. (2024)</xref>.</p>
</list-item>
<list-item>
<p>&#x2022; Saliency maps and gradient-weighted class activation mapping (Grad-CAM) to identify image regions influencing mechanical property predictions.</p>
</list-item>
<list-item>
<p>&#x2022; Physics Informed Neural Networks (PINNs), which incorporate known physical laws (e.g., conservation principles or phase equilibria) into loss functions to enhance interpretability and physical validity.</p>
</list-item>
</list>
</p>
<p>Future research should guide model selection through a contextual trade-off framework balancing interpretability, predictive accuracy, and application-specific risk considerations.</p>
</sec>
<sec id="s4-4">
<title>4.4 Rationale behind diversity of AI models</title>
<p>The reviewed literature encompasses a wide range of AI models, including ANNs, CNNs, SVMs, RFs, Gradient Boosting, LSTM, GNNs, and Transformer-based models. While this diversity may reflect exploratory research and the pursuit of novelty, there are substantive methodological reasons underlying model selection:<list list-type="simple">
<list-item>
<p>&#x2022; Regression tasks with limited datasets are better addressed using ANNs and SVMs.</p>
</list-item>
<list-item>
<p>&#x2022; CNNs are particularly effective for predicting material properties from image-based data (e.g., microstructure to hardness correlations).</p>
</list-item>
<list-item>
<p>&#x2022; RF and XGBoost models offer robustness and interpretability when dealing with tabular alloy datasets.</p>
</list-item>
<list-item>
<p>&#x2022; LSTM and time-series models are well-suited for tracking corrosion progression and fatigue behaviour.</p>
</list-item>
<list-item>
<p>&#x2022; GNNs and message-passing networks represent emerging tools for crystal structure and atomistic modelling tasks.</p>
</list-item>
</list>
</p>
<p>This methodological diversity is justified along the axes of data modality, scale, and task complexity. Nevertheless, future research should strive for systematic benchmarking and avoid indiscriminate &#x201c;algorithm hopping&#x201d; in the absence of performance comparisons.</p>
</sec>
<sec id="s4-5">
<title>4.5 Addressing generalization gaps and practical bottlenecks</title>
<p>Despite the promising capabilities of AI in Mg alloy research, several technical and practical challenges hinder its broader adoption:<list list-type="simple">
<list-item>
<p>&#x2022; Data Scarcity: Many studies rely on small or synthetic datasets, lacking real-world variability.</p>
</list-item>
<list-item>
<p>&#x2022; Limited Generalization: Models are often trained on narrow composition and process ranges, reducing their applicability to industrial contexts.</p>
</list-item>
<list-item>
<p>&#x2022; Rare Multimodal Fusion: Integration of diverse data types such as EBSD, SEM, tensile properties, and corrosion profiles remains uncommon.</p>
</list-item>
<list-item>
<p>&#x2022; Minimal Digital Twin Applications: Few studies link AI predictions with real-time monitoring in alloy processing, degradation, or machining.</p>
</list-item>
</list>
</p>
<p>Addressing these limitations necessitates:<list list-type="simple">
<list-item>
<p>&#x2022; Development and dissemination of open-source datasets and standardized benchmarks,</p>
</list-item>
<list-item>
<p>&#x2022; Establishment of standardized evaluation protocols,</p>
</list-item>
<list-item>
<p>&#x2022; Integration of physics-based constraints into AI models (hybrid modelling approaches),</p>
</list-item>
<list-item>
<p>&#x2022; Enhanced collaboration with industry and experimental laboratories to bridge the gap between research and real-world practice.</p>
</list-item>
</list>
</p>
<p>Collectively, these strategies can ensure that AI, ML, and DL tools in magnesium alloy research evolve from promising experimental techniques into robust, industry-relevant solutions.</p>
</sec>
<sec id="s4-6">
<title>4.6 Actionable industry-oriented guidance</title>
<p>To transition from academic modeling to industrial application, this review identifies several actionable research directions. <xref ref-type="sec" rid="s12">Supplementary Tables SM14</xref> summarizes recommended AI approaches, real-world deployment challenges, and proposed technical solutions for various Mg alloy applications, including automotive, biomedical, high-temperature, and corrosion-resistant systems.</p>
</sec>
<sec id="s4-7">
<title>4.7 Strategic outlook</title>
<p>In addition to established methodologies in domains such as property prediction and PES modeling, AI and ML techniques demonstrate significant potential in addressing various facets of Mg alloys within emerging research areas. Surrogate models derived from <italic>ab initio</italic> thermodynamic data offer the capability to enhance free energy calculations, which are critical for accurately determining phase stability and transformations. DL frameworks such as GNNs and Variational Autoencoders (VAEs) have gained prominence for their capacity to learn Gibbs free energy surfaces at a substantially reduced computational cost, thereby facilitating more rapid construction of phase diagrams and enabling efficient thermodynamic modeling. Furthermore, diffusion processes, vacancy dynamics, and solid&#x2013;liquid interfacial energies traditionally computationally demanding to simulate using conventional techniques are increasingly becoming accessible through AI-driven methods. These advancements hold the potential to fundamentally transform the data-driven exploration and optimization of multicomponent alloy systems.</p>
</sec>
</sec>
<sec id="s5">
<title>5 Challenges, trends, gaps, and future directions</title>
<sec id="s5-1">
<title>5.1 Challenges and potential solutions</title>
<p>The incorporation of AI, ML, and DL into Mg alloy research has yielded significant progress. Nevertheless, various ongoing challenges still impede broad adoption, scalability, and practical application. <xref ref-type="table" rid="T2">Table 2</xref> presents a structured synthesis of challenges and proposed solutions in recent AI/ML/DL-driven studies on magnesium alloy design. It categorizes key issues such as model accuracy, data limitations, property trade-offs, and process complexity. It aligns them with mitigation strategies, including generative models, active learning, hybrid optimization, and explainable AI. This comprehensive overview highlights current gaps and methodological advancements across structural, biomedical, and energy-related Mg alloy applications. <xref ref-type="fig" rid="F8">Figure 8</xref> illustrates the significant challenges associated with applying AI, ML, and DL techniques in Mg alloy research and identifies corresponding potential solutions.</p>
<table-wrap id="T2" position="float">
<label>TABLE 2</label>
<caption>
<p>Challenges and solutions in AI/ML/DL-driven Mg alloy design: A structured review of recent studies.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Challenge category</th>
<th align="left">Specific challenge</th>
<th align="left">Impacted area</th>
<th align="left">Underlying cause</th>
<th align="left">Suggested solution or mitigation</th>
<th align="left">Ref.</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">Model Accuracy &#x26; Generalizability</td>
<td align="left">ML models showed reasonable but not perfect prediction accuracy for metal hydrides with high HSC</td>
<td align="left">Hydrogen storage materials</td>
<td align="left">Limited data diversity and reliance on elemental descriptors</td>
<td align="left">Enhance model training with diverse experimental datasets</td>
<td align="left">
<xref ref-type="bibr" rid="B5">Athul et al. (2025)</xref>
</td>
</tr>
<tr>
<td align="left">Model Performance</td>
<td align="left">Linear models underperform for H2 storage prediction</td>
<td align="left">Hydrogen storage capacity prediction</td>
<td align="left">Inability to capture nonlinear relationships</td>
<td align="left">Use nonlinear ML models like ANN with Bayesian regularization</td>
<td align="left">
<xref ref-type="bibr" rid="B16">Chandana and Kamesh (2024)</xref>
</td>
</tr>
<tr>
<td align="left">Mechanism Design</td>
<td align="left">Difficult to design efficient CO2 reduction photocatalysts for C2 products</td>
<td align="left">CO2 photoreduction</td>
<td align="left">Challenge in modulating asymmetric dual-metal active sites</td>
<td align="left">Use DFT and ML to identify charge-polarized dual-site catalysts</td>
<td align="left">
<xref ref-type="bibr" rid="B17">Chen et al. (2025)</xref>
</td>
</tr>
<tr>
<td align="left">Computational Cost</td>
<td align="left">DFT is accurate but computationally expensive</td>
<td align="left">Alloy design</td>
<td align="left">High-dimensional search space and cost</td>
<td align="left">Combine generative models with automatic differentiation</td>
<td align="left">
<xref ref-type="bibr" rid="B23">Cheng et al. (2024)</xref>
</td>
</tr>
<tr>
<td align="left">Structural Anisotropy</td>
<td align="left">Strong basal texture affects formability</td>
<td align="left">Mg alloy forming</td>
<td align="left">HCP structure and rolling/extrusion processing</td>
<td align="left">Design of microalloying using ML</td>
<td align="left">
<xref ref-type="bibr" rid="B23">Cheng et al. (2024)</xref>
</td>
</tr>
<tr>
<td align="left">Wear Optimization</td>
<td align="left">Mg alloy wear behavior optimization is complex</td>
<td align="left">Wear resistance</td>
<td align="left">Multiple influencing variables</td>
<td align="left">Use ML and hybrid optimization like DOE GA</td>
<td align="left">
<xref ref-type="bibr" rid="B37">El-Sanabary et al. (2024)</xref>
</td>
</tr>
<tr>
<td align="left">Yield Prediction</td>
<td align="left">Fabrication is labor-intensive and expensive</td>
<td align="left">Mechanical property prediction</td>
<td align="left">Time-consuming composite development</td>
<td align="left">Use regression models, XGBoost performed best</td>
<td align="left">
<xref ref-type="bibr" rid="B177">Huang et al. (2023)</xref>
</td>
</tr>
<tr>
<td align="left">Composition Exploration</td>
<td align="left">Exhaustive alloy space exploration</td>
<td align="left">Magnetic glass design</td>
<td align="left">Combinatorial explosion in alloy composition</td>
<td align="left">Use joint-WAE generative model</td>
<td align="left">
<xref ref-type="bibr" rid="B84">Li et al. (2025)</xref>
</td>
</tr>
<tr>
<td align="left">Property Trade-off</td>
<td align="left">Balancing strength and ductility</td>
<td align="left">Al-Mg-Zn alloy design</td>
<td align="left">Conflicting property requirements</td>
<td align="left">Use active learning to explore Pareto front</td>
<td align="left">
<xref ref-type="bibr" rid="B107">Mo et al. (2025)</xref>
</td>
</tr>
<tr>
<td align="left">Creep Mechanism Complexity</td>
<td align="left">Difficult to model nonmonotonic creep behavior</td>
<td align="left">Creep behavior of Mg-Gd-Zn</td>
<td align="left">Multiple alloying and thermal factors</td>
<td align="left">Apply SVR and constitutive ML models</td>
<td align="left">
<xref ref-type="bibr" rid="B178">Ouyang et al. (2024)</xref>
</td>
</tr>
<tr>
<td align="left">Corrosion vs. Strength</td>
<td align="left">Rapid in-vivo degradation in implants</td>
<td align="left">Biomedical Mg alloys</td>
<td align="left">High degradation vs. required strength</td>
<td align="left">Use LASSO and microstructural optimization</td>
<td align="left">
<xref ref-type="bibr" rid="B125">Raguraman et al. (2024)</xref>
</td>
</tr>
<tr>
<td align="left">Gas Cavity Detection</td>
<td align="left">Gas formation during biodegradation</td>
<td align="left">Implant degradation monitoring</td>
<td align="left">Inaccuracy of imaging techniques</td>
<td align="left">Improve imaging and integrate ML</td>
<td align="left">
<xref ref-type="bibr" rid="B179">Shin et al. (2024)</xref>
</td>
</tr>
<tr>
<td align="left">Limited Dataset</td>
<td align="left">Small datasets reduce model performance</td>
<td align="left">Mg alloy strength-ductility</td>
<td align="left">Insufficient data for generalizable models</td>
<td align="left">Use data augmentation and reconstruction</td>
<td align="left">
<xref ref-type="bibr" rid="B143">Wang et al. (2025a)</xref>
</td>
</tr>
<tr>
<td align="left">Thermal History Prediction</td>
<td align="left">Thermal profiles under EPT are complex</td>
<td align="left">Nonlinear thermal modeling</td>
<td align="left">Limitations of constitutive/ML models</td>
<td align="left">Use i-LSTM tailored to multipulse data</td>
<td align="left">
<xref ref-type="bibr" rid="B161">Yu et al. (2024)</xref>
</td>
</tr>
<tr>
<td align="left">Fatigue Life Modeling</td>
<td align="left">Cyclic loading prediction is complex</td>
<td align="left">Low-cycle fatigue life</td>
<td align="left">Plastic anisotropy and dataset size</td>
<td align="left">Hybrid ML with energy-based model</td>
<td align="left">
<xref ref-type="bibr" rid="B161">Yu et al. (2024)</xref>
</td>
</tr>
<tr>
<td align="left">Aging Process Optimization</td>
<td align="left">Hardness prediction under various aging</td>
<td align="left">Age-hardened Mg alloys</td>
<td align="left">Numerous variables in process-property space</td>
<td align="left">Apply active learning and RF model</td>
<td align="left">
<xref ref-type="bibr" rid="B163">Zhang et al. (2025a)</xref>
</td>
</tr>
<tr>
<td align="left">Composition-Property Mapping</td>
<td align="left">Designing Mg alloys with desired strength/ductility</td>
<td align="left">Alloy mechanical optimization</td>
<td align="left">Complex property interdependence</td>
<td align="left">Use GBR and inverse composition ratio</td>
<td align="left">
<xref ref-type="bibr" rid="B173">Zhu et al. (2025a)</xref>
</td>
</tr>
<tr>
<td align="left">Additive Manufacturing Prediction</td>
<td align="left">Temperature control in friction stir deposition</td>
<td align="left">Solid-state AM thermal prediction</td>
<td align="left">Model discrepancy and limited physical data</td>
<td align="left">Use Bayesian explainable AI with surrogate models</td>
<td align="left">
<xref ref-type="bibr" rid="B175">Zhu et al. (2024)</xref>
</td>
</tr>
</tbody>
</table>
</table-wrap>
<fig id="F8" position="float">
<label>FIGURE 8</label>
<caption>
<p>Mapping challenges to solutions in data-driven Mg alloy research.</p>
</caption>
<graphic xlink:href="fmats-12-1645227-g008.tif">
<alt-text content-type="machine-generated">Flowchart illustrating challenges and potential solutions in machine learning for magnesium alloys. Challenges include limited datasets, black-box models, single-modality inputs, lack of validation, poor model transferability, lack of inverse design capabilities, high computational cost, and fragmented toolchains. Suggested solutions are developing open-access repositories, using interpretable models, adopting multimodal integration, promoting collaboration, applying transfer learning, using generative approaches, employing surrogate models, and creating unified platforms. Techniques like SHAP, LIME, CNNs, GNNs, GANs, VAEs, and Bayesian optimization are recommended.</alt-text>
</graphic>
</fig>
</sec>
<sec id="s5-2">
<title>5.2 Surrogate and multi-fidelity modeling for materials optimization</title>
<p>Surrogate modeling is a key enabler to minimize the computational expense of high-fidelity simulations and experimental campaigns in materials science. Of the several surrogate models available, Gaussian Process Regression (GPR) stands out because it can offer uncertainty quantification in addition to predictions, and hence can be used in applications such as alloy composition design, fatigue life prediction, and microstructure-property mapping. Likewise, neural network surrogates, intense feedforward networks and convolutional surrogates, are being more and more employed to emulate costly simulations (DFT, FEM) for fast predictions in high-dimensional design spaces (<xref ref-type="bibr" rid="B104">Misener and Biegler, 2023</xref>).</p>
<p>Aside from single-fidelity surrogates, multi-fidelity modelling integrating low-fidelity physics-based models with high-fidelity experimental or computational data using ML methods has become a powerful paradigm. These models take advantage of the speed of low-fidelity physics-based simulations and correct errors using machine learning trained on high-fidelity data. Blending a phase-field model with a neural surrogate learned from experimentally observed grain evolution data will optimize heat-treatment schedules or alloying strategy without sacrificing physical coherence. This layered modeling strategy improves prediction accuracy and optimization efficiency, and it is consequently very well-adapted for real-time process control and alloy design (<xref ref-type="bibr" rid="B167">Zhang L. et al., 2022</xref>). Incorporating such frameworks into optimization approaches (e.g., in mechanical modeling or corrosion prediction) can greatly promote inverse design, uncertainty-based decision-making, and adaptive experimentation in Mg alloy research.</p>
</sec>
<sec id="s5-3">
<title>5.3 Emerging trends</title>
<p>Recent advancements in Mg alloy research reveal several key trends shaped by the integration of AI, ML, and DL techniques:<list list-type="simple">
<list-item>
<p>&#x2022; Transition from Empirical to Data-Driven Modeling: ML models, most notably artificial neural networks (ANNs), backpropagation neural networks (BPNNs), and ensemble methods, are increasingly preferred for predicting intricate mechanical behaviors, such as flow stress, fatigue life, and elongation. Microstructural attributes, such as grain size, crystallographic orientation, and phase distribution, are being increasingly utilized in these models.</p>
</list-item>
<list-item>
<p>&#x2022; Implementation of Multiscale and Multiphysics Simulations: ML-supervised DFT and MD simulations, coupled with DL-based interatomic potentials (e.g., DP-GEN, surrogate models), are providing accurate and efficient atomic-scale simulations for alloy development and hydrogen storage.</p>
</list-item>
<list-item>
<p>&#x2022; More Active Learning and Inverse Design: Research has begun to utilize active learning, Bayesian optimization, and generative models to accelerate alloy discovery, reduce experimental burden, and explore high-dimensional composition-property spaces.</p>
</list-item>
<list-item>
<p>&#x2022; Image-Based DL is on the Rise: CNN, U-Net, and various DL models are being applied in microstructure segmentation, defect recognition, and the prediction of welding and processing performance.</p>
</list-item>
<list-item>
<p>&#x2022; Biomedical Applications on the Rise: A significant increase in ML-driven studies of biodegradable Mg alloys, particularly those containing rare-earth elements, is observed in terms of corrosion prediction, mechanical behavior, and biofunctionality.</p>
</list-item>
</list>
</p>
</sec>
<sec id="s5-4">
<title>5.4 Identified gaps</title>
<p>Despite promising progress, several critical research and methodological gaps persist:<list list-type="simple">
<list-item>
<p>&#x2022; Data Availability and Standardization: The lack of large-scale, standardized datasets limits training, benchmarking, and cross-validation. Most data is either siloed or proprietary and limits reproducibility and generalization.</p>
</list-item>
<list-item>
<p>&#x2022; Limited Multimodal Integration: Existing models overwhelmingly rely on scalar inputs (composition, processing conditions), overlooking micrographs, thermographic images, and spectroscopic data, which could potentially enhance the model&#x2019;s depth and accuracy.</p>
</list-item>
<list-item>
<p>&#x2022; Black-Box Nature and Interpretability Challenges: DL and ensemble models tend to be opaque, making it challenging for materials scientists to draw physical insights or verify model predictions.</p>
</list-item>
<list-item>
<p>&#x2022; Lack of Experimental Validation: Most ML models are primarily experimentally validated through simulations or small-scale datasets, with minimal in-lab validation and limited cross-domain transferability across different alloy systems.</p>
</list-item>
<list-item>
<p>&#x2022; Scalability of First-Principles Methods: Although DFT and MD simulations provide precise atomic-level information, their computational expense remains a hindrance for large-scale screening and real-time integration with ML pipelines.</p>
</list-item>
</list>
</p>
</sec>
<sec id="s5-5">
<title>5.5 Future directions</title>
<p>To accelerate innovation and practical implementation of AI/ML/DL in Mg alloy research, the following directions are recommended:</p>
<sec id="s5-5-1">
<title>5.5.1 Development of open and FAIR materials databases</title>
<p>
<list list-type="simple">
<list-item>
<p>&#x2022; Develop and share well-curated datasets of mechanical, microstructural, and corrosion properties across alloy systems.</p>
</list-item>
<list-item>
<p>&#x2022; Promote interdisciplinary collaboration on data and open-source release of experimental and simulated data.</p>
</list-item>
</list>
</p>
</sec>
<sec id="s5-5-2">
<title>5.5.2 Integration of multimodal and multiscale data</title>
<p>
<list list-type="simple">
<list-item>
<p>&#x2022; Combine multimodal data from various sources, e.g., EBSD, SEM/TEM images, stress-strain curves, spectroscopy with composition and processing inputs using multimodal ML architectures (e.g., CNN-GNN hybrids).</p>
</list-item>
</list>
</p>
</sec>
<sec id="s5-5-3">
<title>5.5.3 Application of physics-informed and interpretable ML models</title>
<p>
<list list-type="simple">
<list-item>
<p>&#x2022; Incorporate physical laws, thermodynamic limits, and crystal symmetries into model structures to enhance trust, interpretability, and domain alignment.</p>
</list-item>
</list>
</p>
</sec>
<sec id="s5-5-4">
<title>5.5.4 Closed-loop design-experiment pipelines</title>
<p>
<list list-type="simple">
<list-item>
<p>&#x2022; Deploy active learning and digital twin platforms that iteratively update models based on new experimental feedback, enabling autonomous discovery and optimization.</p>
</list-item>
</list>
</p>
</sec>
<sec id="s5-5-5">
<title>5.5.5 Inverse design capabilities</title>
<p>
<list list-type="simple">
<list-item>
<p>&#x2022; Use generative models (GANs, VAEs), reinforcement learning, and Bayesian inference to design alloys and processing conditions from target property profiles.</p>
</list-item>
</list>
</p>
</sec>
<sec id="s5-5-6">
<title>5.5.6 Bridging simulation and experiment</title>
<p>
<list list-type="simple">
<list-item>
<p>&#x2022; Combine ML-augmented DFT/MD with experimental verification to bridge the simulation reality gap, particularly in phase prediction, corrosion mechanisms, and plasticity modeling.</p>
</list-item>
</list>
</p>
</sec>
<sec id="s5-5-7">
<title>5.5.7 Implementation of transfer and Meta-learning</title>
<p>
<list list-type="simple">
<list-item>
<p>&#x2022; Utilize pretrained models to facilitate knowledge transfer between alloy systems, scales, or processing domains, enhancing data efficiency and generalization.</p>
</list-item>
</list>
</p>
<p>This triad of trends, gaps, and future directions outlines a roadmap for evolving AI and data-driven techniques in Mg alloy research from exploratory studies toward high-impact, real-world applications in biomedical, structural, and energy domains.</p>
</sec>
</sec>
</sec>
<sec sec-type="conclusion" id="s6">
<title>6 Conclusion</title>
<p>This systematic review presents a comprehensive and structured synthesis of recent advancements in AI, ML, and DL methods and Mg alloy design, processing, characterization, and optimization. Utilizing bibliometric clustering, keyword co-occurrence, and an organized PRISMA approach, seven thematic clusters were revealed, each signifying an essential subdomain of this highly dynamic research space.</p>
<p>Mechanical Behavior, Alloy Design, and Thermodynamic Modeling: Cluster one shows that AI models such as ANNs, SVMs, and CNNs greatly improve the prediction of mechanical properties, including yield strength and hardness, by learning from microstructural data like EBSD maps, removing the need for manual feature engineering. In Cluster 2, machine learning combined with optimization techniques (e.g., GAs, Bayesian optimization) enables efficient alloy composition design and process control. This lowers experimental workload and supports inverse design for targeted properties. Cluster three highlights the speeding up of atomic-scale modeling, where ML potentials like GAP and DeepMD achieve 10<sup>3</sup>&#x2013;10<sup>5</sup> times faster performance than DFT, while DL models improve free energy predictions for phase stability.</p>
<p>Corrosion, Processing, and Spatiotemporal Behavior: In Cluster 4, ensemble and RF models have proven effective in forecasting corrosion rates, incorporating various inputs such as composition, pH, and environmental exposure. The use of SHAP methods offers model transparency, which is vital for the clinical translation of biodegradable Mg alloys. Cluster five focuses on heat treatment and processing behavior, where DL models track recrystallization and microstructure evolution with high temporal accuracy. Cluster 6 employs spatiotemporal DL techniques like LSTMs and CNNs to model fatigue, grain growth, and dislocation propagation, providing predictive insights into long-term alloy performance.</p>
<p>Data-Driven Design and Industry Implications: Cluster seven highlights hybrid frameworks that combine physics-based and data-driven approaches, such as PINNs and VAEs. These facilitate rapid alloy screening, exploration of design space, and digital twin integration. Overall, the synthesis across clusters demonstrates that AI/ML/DL methods are not only speeding up discovery but also enabling interpretable, sustainable, and industry-relevant solutions across the Mg alloy research landscape.</p>
<p>There are many challenges revealed during the review, and to address these challenges, this review proposes several future directions:<list list-type="simple">
<list-item>
<p>&#x2022; Multimodal data fusion (e.g., integrating SEM images, stress-strain curves, and composition data) to improve model resilience.</p>
</list-item>
<list-item>
<p>&#x2022; Physics-informed and explainable ML models consistent with material science principles.</p>
</list-item>
<list-item>
<p>&#x2022; Open-source datasets and collaborative platforms to enhance reproducibility and speed up innovation.</p>
</list-item>
<list-item>
<p>&#x2022; Inverse design platforms based on generative and reinforcement learning models to suggest alloy compositions and process conditions automatically.</p>
</list-item>
<list-item>
<p>&#x2022; Digital twin environments and closed-loop experimental pipelines that integrate simulation, prediction, and validation for continuous learning and optimization.</p>
</list-item>
</list>
</p>
<p>AI, ML, and DL intersect with Mg alloy studies, representing a paradigm shift towards data-driven, smart material systems. The enhanced utilization of predictive and generative models facilitates the faster, lower-cost, and more trustworthy design and optimization of Mg alloys for structural, medical, and energy applications, driven by the convergence of domain knowledge, high-quality data, and sophisticated ML platforms. This area is well-positioned to be a game-changer in the next-generation of high-performance, lightweight, and sustainable materials.</p>
<p>Utilizing multi-database validation with Scopus and WoS greatly enhances the methodological rigor of this review. The strong consistency observed in both databases verifies that the identified thematic clusters and research trends are reliable, applicable across various contexts, and accurately reflect the current research landscape concerning AI, ML, and DL applications in Mg alloys.</p>
<sec id="s6-1">
<title>6.1 Strengths and limitations</title>
<p>This review employs a robust multi-database validation approach by utilizing both Scopus and Web of Science, thereby enhancing the reliability, reproducibility, and generalizability of the findings. While Scopus was selected as the primary source for in-depth cluster analysis due to its broad coverage in materials science and computational modeling, cross-validation with WoS confirmed a high degree of thematic consistency. Minor differences in author and journal indexing were observed, primarily due to database-specific inclusion policies, which may result in slight variations in coverage.</p>
<p>Although the review focused on English-language journal articles, potentially excluding some regional studies, the inclusion criteria ensured data quality and compatibility with bibliometric tools. Future studies could further expand the scope by incorporating additional databases such as Dimensions or PubMed and by integrating alternative metrics, including patent data and conference proceedings, to capture a more comprehensive view of the research landscape.</p>
</sec>
<sec id="s6-2">
<title>6.2 Strategic recommendations for future work</title>
<p>This review employed a co-occurrence-based clustering methodology for thematic mapping using VOSviewer; however, alternative clustering paradigms may offer supplementary insights. For example, application-oriented clustering, such as corrosion prediction, mechanical property modeling, or microstructural evolution, could enhance synthesis by aligning findings with specific problem domains. Similarly, method-centric groupings based on approaches such as ANN, CNN, GNN, or ensemble models may facilitate the identification of algorithmic trends and existing gaps within the field. Future review analyses could be refined through the adoption of hybrid clustering frameworks that integrate topic, technique, and data modality dimensions, thereby yielding more granular and actionable insights to inform and direct research development within targeted domains.</p>
</sec>
</sec>
</body>
<back>
<sec sec-type="author-contributions" id="s7">
<title>Author contributions</title>
<p>HW: Funding acquisition, Investigation, Formal Analysis, Writing &#x2013; original draft. RmK: Conceptualization, Validation, Writing &#x2013; review and editing, Data curation, Formal Analysis, Visualization. AP: Resources, Writing &#x2013; review and editing, Formal Analysis, Conceptualization, Methodology. RjK: Writing &#x2013; review and editing, Project administration, Investigation, Methodology, Resources. AK: Investigation, Resources, Writing &#x2013; review and editing, Formal Analysis, Data curation. MA: Data curation, Resources, Formal Analysis, Writing &#x2013; review and editing, Software.</p>
</sec>
<sec sec-type="funding-information" id="s8">
<title>Funding</title>
<p>The author(s) declare that no financial support was received for the research and/or publication of this article.</p>
</sec>
<sec sec-type="COI-statement" id="s9">
<title>Conflict of interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec sec-type="ai-statement" id="s10">
<title>Generative AI statement</title>
<p>The author(s) declare that no Generative AI was used in the creation of this manuscript.</p>
</sec>
<sec sec-type="disclaimer" id="s11">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
<sec sec-type="supplementary-material" id="s12">
<title>Supplementary material</title>
<p>The Supplementary Material for this article can be found online at: <ext-link ext-link-type="uri" xlink:href="https://www.frontiersin.org/articles/10.3389/fmats.2025.1645227/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/fmats.2025.1645227/full&#x23;supplementary-material</ext-link>
</p>
<supplementary-material xlink:href="Supplementaryfile1.docx" id="SM1" mimetype="application/docx" xmlns:xlink="http://www.w3.org/1999/xlink"/>
</sec>
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<sec id="s13">
<title>Nomenclature</title>
<def-list>
<def-item>
<term id="G1-fmats.2025.1645227">AI</term>
<def>
<p>Artificial Intelligence</p>
</def>
</def-item>
<def-item>
<term id="G2-fmats.2025.1645227">ML</term>
<def>
<p>Machine Learning</p>
</def>
</def-item>
<def-item>
<term id="G3-fmats.2025.1645227">DL</term>
<def>
<p>Deep Learning</p>
</def>
</def-item>
<def-item>
<term id="G4-fmats.2025.1645227">ANN</term>
<def>
<p>Artificial Neural Network</p>
</def>
</def-item>
<def-item>
<term id="G5-fmats.2025.1645227">CNN</term>
<def>
<p>Convolutional Neural Network</p>
</def>
</def-item>
<def-item>
<term id="G6-fmats.2025.1645227">GAN</term>
<def>
<p>Generative Adversarial Network</p>
</def>
</def-item>
<def-item>
<term id="G7-fmats.2025.1645227">RF</term>
<def>
<p>Random Forest</p>
</def>
</def-item>
<def-item>
<term id="G8-fmats.2025.1645227">DFT</term>
<def>
<p>Density Functional Theory</p>
</def>
</def-item>
<def-item>
<term id="G9-fmats.2025.1645227">MD</term>
<def>
<p>Molecular Dynamics</p>
</def>
</def-item>
<def-item>
<term id="G10-fmats.2025.1645227">PSO-BP ANN</term>
<def>
<p>Particle Swarm Optimization-Backpropagation Artificial Neural Network</p>
</def>
</def-item>
<def-item>
<term id="G11-fmats.2025.1645227">GA</term>
<def>
<p>Genetic Algorithm</p>
</def>
</def-item>
<def-item>
<term id="G12-fmats.2025.1645227">FSW</term>
<def>
<p>Friction Stir Welding</p>
</def>
</def-item>
<def-item>
<term id="G13-fmats.2025.1645227">BP-ANN</term>
<def>
<p>Backpropagation Artificial Neural Network</p>
</def>
</def-item>
<def-item>
<term id="G14-fmats.2025.1645227">SVM</term>
<def>
<p>Support Vector Machine</p>
</def>
</def-item>
<def-item>
<term id="G15-fmats.2025.1645227">RFReg</term>
<def>
<p>Random Forest Regression</p>
</def>
</def-item>
<def-item>
<term id="G16-fmats.2025.1645227">GPR</term>
<def>
<p>Gaussian Process Regression</p>
</def>
</def-item>
<def-item>
<term id="G17-fmats.2025.1645227">DBO</term>
<def>
<p>Dragonfly Optimization</p>
</def>
</def-item>
<def-item>
<term id="G18-fmats.2025.1645227">DRX</term>
<def>
<p>Dynamic Recrystallization</p>
</def>
</def-item>
<def-item>
<term id="G19-fmats.2025.1645227">HCP</term>
<def>
<p>Hexagonal Close-Packed</p>
</def>
</def-item>
<def-item>
<term id="G20-fmats.2025.1645227">LSTM</term>
<def>
<p>Long Short-Term Memory</p>
</def>
</def-item>
<def-item>
<term id="G21-fmats.2025.1645227">GRU</term>
<def>
<p>Gated Recurrent Unit</p>
</def>
</def-item>
<def-item>
<term id="G22-fmats.2025.1645227">ISV</term>
<def>
<p>Internal State Variable</p>
</def>
</def-item>
<def-item>
<term id="G23-fmats.2025.1645227">ERT</term>
<def>
<p>Extremely Randomized Trees</p>
</def>
</def-item>
<def-item>
<term id="G24-fmats.2025.1645227">RNN</term>
<def>
<p>Recurrent Neural Network</p>
</def>
</def-item>
<def-item>
<term id="G25-fmats.2025.1645227">SGD</term>
<def>
<p>Stochastic Gradient Descent</p>
</def>
</def-item>
<def-item>
<term id="G26-fmats.2025.1645227">EBSD</term>
<def>
<p>Electron Backscatter Diffraction</p>
</def>
</def-item>
<def-item>
<term id="G27-fmats.2025.1645227">XRD</term>
<def>
<p>X-ray Diffraction</p>
</def>
</def-item>
<def-item>
<term id="G28-fmats.2025.1645227">TBC</term>
<def>
<p>Thermal Barrier Coatings</p>
</def>
</def-item>
<def-item>
<term id="G29-fmats.2025.1645227">FEM</term>
<def>
<p>Finite Element Method</p>
</def>
</def-item>
<def-item>
<term id="G30-fmats.2025.1645227">MAO</term>
<def>
<p>Micro-Arc Oxidation</p>
</def>
</def-item>
<def-item>
<term id="G31-fmats.2025.1645227">MLFF</term>
<def>
<p>Machine Learning Force Field</p>
</def>
</def-item>
<def-item>
<term id="G32-fmats.2025.1645227">AIMD</term>
<def>
<p>Ab Initio Molecular Dynamics</p>
</def>
</def-item>
<def-item>
<term id="G33-fmats.2025.1645227">DP-GEN</term>
<def>
<p>Deep Potential Generator</p>
</def>
</def-item>
<def-item>
<term id="G34-fmats.2025.1645227">SVR</term>
<def>
<p>Support Vector Regression</p>
</def>
</def-item>
<def-item>
<term id="G35-fmats.2025.1645227">GBT</term>
<def>
<p>Gradient Boosted Trees</p>
</def>
</def-item>
<def-item>
<term id="G36-fmats.2025.1645227">HGGAT</term>
<def>
<p>Hierarchical Graph Attention Network</p>
</def>
</def-item>
<def-item>
<term id="G37-fmats.2025.1645227">XGBoost</term>
<def>
<p>Extreme Gradient Boosting</p>
</def>
</def-item>
<def-item>
<term id="G38-fmats.2025.1645227">DL Potentials</term>
<def>
<p>Deep Learning Potentials</p>
</def>
</def-item>
<def-item>
<term id="G39-fmats.2025.1645227">MDL</term>
<def>
<p>Multimodal Deep Learning</p>
</def>
</def-item>
</def-list>
</sec>
</back>
</article>