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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Psychiatry</journal-id>
<journal-title>Frontiers in Psychiatry</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Psychiatry</abbrev-journal-title>
<issn pub-type="epub">1664-0640</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fpsyt.2024.1463654</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Psychiatry</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Exploring the most discriminative brain structural abnormalities in ASD with multi-stage progressive feature refinement approach</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" equal-contrib="yes">
<name>
<surname>Sun</surname>
<given-names>Bingxi</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="author-notes" rid="fn003">
<sup>&#x2020;</sup>
</xref>
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<contrib contrib-type="author" equal-contrib="yes">
<name>
<surname>Xu</surname>
<given-names>Yingying</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="author-notes" rid="fn003">
<sup>&#x2020;</sup>
</xref>
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<contrib contrib-type="author">
<name>
<surname>Kat</surname>
<given-names>Siuching</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/922333"/>
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</contrib>
<contrib contrib-type="author">
<name>
<surname>Sun</surname>
<given-names>Anlan</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<role content-type="https://credit.niso.org/contributor-roles/formal-analysis/"/>
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</contrib>
<contrib contrib-type="author">
<name>
<surname>Yin</surname>
<given-names>Tingni</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<role content-type="https://credit.niso.org/contributor-roles/investigation/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-review-editing/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Zhao</surname>
<given-names>Liyang</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<role content-type="https://credit.niso.org/contributor-roles/investigation/"/>
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</contrib>
<contrib contrib-type="author">
<name>
<surname>Su</surname>
<given-names>Xing</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<role content-type="https://credit.niso.org/contributor-roles/investigation/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-review-editing/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Chen</surname>
<given-names>Jialu</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<role content-type="https://credit.niso.org/contributor-roles/investigation/"/>
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</contrib>
<contrib contrib-type="author">
<name>
<surname>Wang</surname>
<given-names>Hui</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<role content-type="https://credit.niso.org/contributor-roles/investigation/"/>
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</contrib>
<contrib contrib-type="author">
<name>
<surname>Gong</surname>
<given-names>Xiaoyun</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
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</contrib>
<contrib contrib-type="author">
<name>
<surname>Liu</surname>
<given-names>Qinyi</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<role content-type="https://credit.niso.org/contributor-roles/investigation/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-review-editing/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Han</surname>
<given-names>Gangqiang</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<role content-type="https://credit.niso.org/contributor-roles/investigation/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-review-editing/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Peng</surname>
<given-names>Shuchen</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<role content-type="https://credit.niso.org/contributor-roles/investigation/"/>
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</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Li</surname>
<given-names>Xue</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="author-notes" rid="fn001">
<sup>*</sup>
</xref>
<role content-type="https://credit.niso.org/contributor-roles/conceptualization/"/>
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</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Liu</surname>
<given-names>Jing</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="author-notes" rid="fn001">
<sup>*</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2790487"/>
<role content-type="https://credit.niso.org/contributor-roles/conceptualization/"/>
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</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>Peking University Sixth Hospital, Peking University Institute of Mental Health, NHC Key Laboratory of Mental Health (Peking University), National Clinical Research Center for Mental Disorders (Peking University Sixth Hospital)</institution>, <addr-line>Beijing</addr-line>, <country>China</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Yizhun Medical AI Co., Ltd, Algorithm and Development Department</institution>, <addr-line>Beijing</addr-line>, <country>China</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>Edited by: Juan Wang, Peking University, China</p>
</fn>
<fn fn-type="edited-by">
<p>Reviewed by: Huanzhong Liu, Chaohu Hospital of Anhui Medical University, China</p>
<p>Xiaoyan Ke, Nanjing Brain Hospital Affiliated to Nanjing Medical University, China</p>
<p>Wenhong Cheng, Shanghai Hongkou Mental Health Center, China</p>
</fn>
<fn fn-type="corresp" id="fn001">
<p>*Correspondence: Jing Liu, <email xlink:href="mailto:ljyuch@bjmu.edu.cn">ljyuch@bjmu.edu.cn</email>; Xue Li, <email xlink:href="mailto:lixue@bjmu.edu.cn">lixue@bjmu.edu.cn</email>
</p>
</fn>
<fn fn-type="equal" id="fn003">
<p>&#x2020;These authors have contributed equally to this work and share first authorship</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>17</day>
<month>10</month>
<year>2024</year>
</pub-date>
<pub-date pub-type="collection">
<year>2024</year>
</pub-date>
<volume>15</volume>
<elocation-id>1463654</elocation-id>
<history>
<date date-type="received">
<day>12</day>
<month>07</month>
<year>2024</year>
</date>
<date date-type="accepted">
<day>23</day>
<month>09</month>
<year>2024</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2024 Sun, Xu, Kat, Sun, Yin, Zhao, Su, Chen, Wang, Gong, Liu, Han, Peng, Li and Liu</copyright-statement>
<copyright-year>2024</copyright-year>
<copyright-holder>Sun, Xu, Kat, Sun, Yin, Zhao, Su, Chen, Wang, Gong, Liu, Han, Peng, Li and Liu</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>
<sec>
<title>Objective</title>
<p>Autism spectrum disorder (ASD) is a neurodevelopmental condition characterized by increasing prevalence, diverse impairments, and unclear origins and mechanisms. To gain a better grasp of the origins of ASD, it is essential to identify the most distinctive structural brain abnormalities in individuals with ASD.</p>
</sec>
<sec>
<title>Methods</title>
<p>A Multi-Stage Progressive Feature Refinement Approach was employed to identify the most pivotal structural magnetic resonance imaging (MRI) features that distinguish individuals with ASD from typically developing (TD) individuals. The study included 175 individuals with ASD and 69 TD individuals, all aged between 7 and 18 years, matched in terms of age and gender. Both cortical and subcortical features were integrated, with a particular focus on hippocampal subfields.</p>
</sec>
<sec>
<title>Results</title>
<p>Out of 317 features, 9 had the most significant impact on distinguishing ASD from TD individuals. These structural features, which include a specific hippocampal subfield, are closely related to the brain areas associated with the reward system.</p>
</sec>
<sec>
<title>Conclusion</title>
<p>Structural irregularities in the reward system may play a crucial role in the pathophysiology of ASD, and specific hippocampal subfields may also contribute uniquely, warranting further investigation.</p>
</sec>
</abstract>
<kwd-group>
<kwd>autism spectrum disorder</kwd>
<kwd>structural magnetic resonance imaging</kwd>
<kwd>feature selection</kwd>
<kwd>machine learning</kwd>
<kwd>support vector machine</kwd>
<kwd>least absolute shrinkage and selection operator</kwd>
</kwd-group>
<counts>
<fig-count count="3"/>
<table-count count="2"/>
<equation-count count="0"/>
<ref-count count="104"/>
<page-count count="12"/>
<word-count count="5894"/>
</counts>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-in-acceptance</meta-name>
<meta-value>Autism</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec id="s1" sec-type="intro">
<label>1</label>
<title>Introduction</title>
<p>Autism spectrum disorder (ASD) is a neurodevelopmental condition characterized by difficulties in social interaction and communication, along with repetitive patterns of behavior, interests, and activities (<xref ref-type="bibr" rid="B1">1</xref>). The global prevalence of ASD is currently estimated at around 1%, with an upward trend over time (<xref ref-type="bibr" rid="B2">2</xref>). In the United States, the prevalence of ASD among 8-year-old children increased from 1 in 110 in 2006 to 1 in 36 by 2020 (<xref ref-type="bibr" rid="B3">3</xref>). In China, a nationwide epidemiological study estimated an ASD prevalence of 0.7% among children aged 6-12 years (<xref ref-type="bibr" rid="B4">4</xref>). ASD has a complex etiology and pathogenesis that remain incompletely understood, posing a global public health challenge and imposing a substantial financial burden across various domains, thereby placing pressure on healthcare, social, and political systems of nations (<xref ref-type="bibr" rid="B5">5</xref>).</p>
<p>Current research suggests that a combination of genetic and environmental factors leads to abnormal development of certain brain regions, resulting in ASD (<xref ref-type="bibr" rid="B6">6</xref>). Consequently, identifying brain regions with structural abnormalities is a fundamental objective in ASD neurobiological research (<xref ref-type="bibr" rid="B7">7</xref>). Numerous studies have reported various structural brain abnormalities in individuals with ASD when compared to typically developing (TD) individuals. These anomalies are found in the frontal lobe (<xref ref-type="bibr" rid="B8">8</xref>), parietal lobe (<xref ref-type="bibr" rid="B9">9</xref>), temporal lobe (<xref ref-type="bibr" rid="B10">10</xref>), limbic system (<xref ref-type="bibr" rid="B11">11</xref>), and cerebellum (<xref ref-type="bibr" rid="B12">12</xref>). They encompass alterations in cortical volume (<xref ref-type="bibr" rid="B13">13</xref>), average cortical curvature (<xref ref-type="bibr" rid="B14">14</xref>), cortical thickness (<xref ref-type="bibr" rid="B15">15</xref>), cortical surface area (<xref ref-type="bibr" rid="B16">16</xref>), and other neuroanatomical characteristics. These features may reflect dendritic arborization (<xref ref-type="bibr" rid="B17">17</xref>), disrupted intrinsic and extrinsic connectivity patterns (<xref ref-type="bibr" rid="B18">18</xref>), or variations in the number of minicolumns within the cortical layer (<xref ref-type="bibr" rid="B19">19</xref>). However, these differences are not observed consistently in all studies, possibly due to the heterogeneity among individuals with ASD or methodological differences (<xref ref-type="bibr" rid="B20">20</xref>). Given that atypical brain structures underlie functional abnormalities, it is essential to investigate the most distinctive structural brain anomalies associated with ASD. Identifying these distinctive structural brain features in individuals with ASD can advance our understanding of the disorder&#x2019;s pathogenesis, offer potential biomarkers for more accurate ASD diagnosis, and provide a foundation for exploring more effective interventions.</p>
<p>To identify these distinctive structural brain anomalies in individuals with ASD, the analysis methodology deserves greater attention. Classical statistical methods often overlook the interdependence among different brain regions, which are now recognized as valuable sources of information for detecting various brain disorders (<xref ref-type="bibr" rid="B21">21</xref>). In contrast, machine learning approaches prove more suitable for handling extensive and intricate data (<xref ref-type="bibr" rid="B22">22</xref>). These methods automatically detect essential patterns among a multitude of features, whether linear or nonlinear, by focusing on specific tasks like classification, thereby emphasizing the significance of meaningful features (<xref ref-type="bibr" rid="B23">23</xref>, <xref ref-type="bibr" rid="B24">24</xref>). Furthermore, they enable the assessment of the predictive strength of multiple factors and the identification of the most influential factors contributing to outcomes (<xref ref-type="bibr" rid="B25">25</xref>). Consequently, aside from constructing diagnostic models, an increasing number of studies have utilized machine learning to identify prominent features, such as key risk or protective factors for self-harm (<xref ref-type="bibr" rid="B26">26</xref>), obesity (<xref ref-type="bibr" rid="B27">27</xref>), and bullying (<xref ref-type="bibr" rid="B25">25</xref>). In recent years, various machine learning techniques have been employed in ASD classifications. Prior research has validated the effectiveness of these approaches in distinguishing individuals with ASD from those who are typically developing (<xref ref-type="bibr" rid="B7">7</xref>, <xref ref-type="bibr" rid="B28">28</xref>). However, contemporary machine learning studies in ASD brain imaging have primarily concentrated on classification performance and early diagnosis, often leading to the generation of an extensive array of features, which poses a challenge in feature reduction (<xref ref-type="bibr" rid="B29">29</xref>). Consequently, the ongoing challenge remains the determination of which structural brain deviations are most characteristic of ASD. Furthermore, despite improved accuracy in segmenting subcortical structures, their integration into machine learning classification studies for ASD remains limited. Among subcortical structures, the hippocampus and its subfields have garnered increasing attention in recent years due to their potential relationship with ASD. Researchers suggest that deficits in social behavior, memory, and spatial reasoning in ASD may stem from underlying impairments in complex hippocampal-driven cognitive mechanisms, which are supported by distinct hippocampal subfields (<xref ref-type="bibr" rid="B30">30</xref>). Additionally, several animal studies have highlighted the CA2 region of the hippocampus as a crucial structure for social memory (<xref ref-type="bibr" rid="B31">31</xref>&#x2013;<xref ref-type="bibr" rid="B33">33</xref>). Additionally, a mouse model of the 22q11.2 deletion syndrome exhibiting ASD-like behaviors has shown age-dependent specific changes in the CA2 area (<xref ref-type="bibr" rid="B34">34</xref>). Therefore, exploring changes in hippocampal subfields in individuals with ASD may help identify potential targets for future diagnosis and treatment. However, although the precise segmentation of hippocampal subfields has recently become achievable (<xref ref-type="bibr" rid="B35">35</xref>), related research remains exceedingly scarce, and these subfields have scarcely been included in machine learning classification models for ASD.</p>
<p>Therefore, in our present study, we applied a Multi-Stage Progressive Feature Refinement Approach to identify the most crucial structural MRI features that distinguish individuals with ASD from their typically developing counterparts. Within our framework, we integrated cortical features (including thickness, surface area, mean curvature, and volume) as well as subcortical features, particularly focusing on hippocampal subfields. Our research specifically aimed to pinpoint key brain regions that exhibit the most significant distinctions between individuals with autism and typically developing individuals.</p>
</sec>
<sec id="s2" sec-type="materials|methods">
<label>2</label>
<title>Materials and methods</title>
<sec id="s2_1">
<label>2.1</label>
<title>Participants</title>
<p>Individuals diagnosed with ASD were recruited from Peking University Sixth Hospital in Beijing, China. Inclusion criteria were as follows (1): age between 7 and 18 years; (2) meeting the criteria for ASD according to the Diagnostic and Statistical Manual of Mental Disorders, Fifth Edition (DSM-5); (3) capable of undergoing MRI scanning; (4) right-handed. The diagnosis was confirmed by two experienced child and adolescent psychiatrists based on the DSM-5. Exclusion criteria were as follows: (1) presence of other severe mental disorders such as schizophrenia, bipolar disorder, and so on; (2) major physical or neurological illnesses; (3) history of brain trauma; (4) unstable use of psychotropic medications; (5) presence of metal implants in the body. Typically Developing (TD) participants were recruited through advertisements at Peking University Sixth Hospital. Inclusion criteria for TD participants were: (1) age between 7 and 18 years; (2) absence of mental disorders; (3) capable of undergoing MRI scanning; (4) right-handed. Exclusion criteria for TD groups were: (1) current or previous psychiatric diagnoses; (2) major physical or neurological illnesses; (3) history of brain trauma; (4) use of psychotropic medications; (5) presence of metal implants in the body. Ultimately, our study comprised 175 individuals with ASD and 69 TD participants, matched for gender and age (<xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref>). In the ASD group, 41 participants had comorbid attention-deficit/hyperactivity disorder (ADHD) and/or Tic disorders, while the rest had no comorbidities. Sixteen participants were on psychotropic medications: four were taking stimulants for ADHD and 12 were on stable doses of antidepressants and/or antipsychotics to manage mood or behavioral issues, with the types and doses of medications remaining stable for at least two weeks prior to the study. The study protocol received approval from the Ethics Committee of Peking University Sixth Hospital. Informed written consent was obtained from parents or legal guardians of participants under 8 years old, and from both participants themselves and their parents or legal guardians for those over 8 years old.</p>
<table-wrap id="T1" position="float">
<label>Table&#xa0;1</label>
<caption>
<p>Demographic information of participants.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" rowspan="2" align="left">Variable</th>
<th valign="middle" align="left">ASD (n=175)</th>
<th valign="middle" align="left">TD (n=69)</th>
<th valign="middle" rowspan="2" align="left">
<italic>t/&#x3c7;<sup>2</sup>
</italic>
</th>
<th valign="middle" rowspan="2" align="left">P</th>
</tr>
<tr>
<th valign="middle" align="left">Mean&#x2009;&#xb1;&#x2009;SD</th>
<th valign="middle" align="left">Mean&#x2009;&#xb1;&#x2009;SD</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" align="left">Gender<break/>(male/female)</td>
<td valign="middle" align="left">154/21</td>
<td valign="middle" align="left">59/10</td>
<td valign="middle" align="left">0.27</td>
<td valign="middle" align="left">0.59</td>
</tr>
<tr>
<td valign="middle" align="left">Age</td>
<td valign="middle" align="left">11.93 &#xb1; 3.20</td>
<td valign="middle" align="left">12.00 &#xb1; 2.91</td>
<td valign="middle" align="left">-0.175</td>
<td valign="middle" align="left">0.86</td>
</tr>
<tr>
<td valign="middle" align="left">Full IQ</td>
<td valign="middle" align="left">81.74 &#xb1; 26.64(n=173)</td>
<td valign="middle" align="left">110.91 &#xb1; 13.21</td>
<td valign="middle" align="left">-7.42</td>
<td valign="middle" align="left">&lt;0.001</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s2_2">
<label>2.2</label>
<title>Magnetic resonance imaging protocol</title>
<p>MRI scans were conducted using a GE Discovery 750 3.0T MRI system (GE Healthcare, Chicago, IL, USA) equipped with an 8-channel phased-array head coil at both Peking University Sixth Hospital and Peking University Third Hospital. Both scanners were of the same model from the same manufacturer. Subjects were instructed to lie in a supine position and secured with foam padding during the scans. The scanning parameters for the 3D T1-weighted spoiled gradient recalled (SPGR) sequence at Peking University Sixth Hospital were as follows: TR = 6.7 ms, TE = 3.1 ms, flip angle = 12&#xb0;, FOV = 25.6&#xa0;mm &#xd7; 25.6&#xa0;mm, matrix size = 256 &#xd7; 256, and slice thickness = 1.0&#xa0;mm. At Peking University Third Hospital, the scanning parameters for the 3D T1 SPGR sequence were: repetition time (TR) = 4.78 ms, echo time (TE) = 2.02 ms, flip angle = 15&#xb0;, field of view (FOV) = 24&#xa0;mm &#xd7; 24&#xa0;mm, matrix size = 240 &#xd7; 240, and slice thickness = 1.0&#xa0;mm.</p>
</sec>
<sec id="s2_3">
<label>2.3</label>
<title>Image processing</title>
<p>All T1-weighted images underwent processing with FreeSurfer v.7.2.0(<ext-link ext-link-type="uri" xlink:href="http://surfer.nmr.mgh.harvard.edu/">http://surfer.nmr.mgh.harvard.edu/</ext-link>) to extract brain morphometric features. The morphometric procedures of FreeSurfer have consistently demonstrated robust test-retest reliability across different field strengths and scanner manufacturers (<xref ref-type="bibr" rid="B36">36</xref>). The processing workflow for cortical reconstruction and subcortical segmentation included several steps: motion correction, skull stripping, computation of the Talairach transform, segmentation of subcortical white matter and deep gray matter volumetric structures, intensity normalization, tessellation of white&#x2013;gray matter boundaries, automated topology correction, and surface deformation to optimize the placement of structural boundaries (<xref ref-type="bibr" rid="B37">37</xref>, <xref ref-type="bibr" rid="B38">38</xref>). We extracted volume, surface area, mean curvature, and thickness of cortical structures defined by Desikan Killiany templates (<xref ref-type="bibr" rid="B39">39</xref>), along with the volume of subcortical structures defined by the Aseg template, and the volume of hippocampal subfields using the hippocampal subdivision template. This resulted in a comprehensive set of 317 brain morphometric features for each individual participant. Following the standard processing stream for all images, each image was manually reviewed and corrected to ensure the accuracy of gray/white and gray/pial surface boundaries. In addition to employing several techniques to control head motion during data acquisition, we implemented a FreeSurfer-based quality control workflow for sMRI motion artifacts, which retains only C1 and C2 grade images while discarding C3 grade images (<xref ref-type="bibr" rid="B40">40</xref>). To further harmonize MRI data across scanners, we used ComBat, a technique that removes unwanted sources of scan variability while simultaneously enhancing the power and reproducibility of subsequent statistical analyses (<xref ref-type="bibr" rid="B41">41</xref>). Specifically, we applied the ComBat method from the sva package in R to correct for batch effects, ensuring more consistent imaging data for our study.</p>
</sec>
<sec id="s2_4">
<label>2.4</label>
<title>Machine learning analysis</title>
<p>In this study, we employed a Multi-Stage Progressive Feature Refinement Approach that integrates multiple feature selection methods to identify the most discriminative brain structural features for distinguishing ASD from TD. Feature selection in machine learning refers to selecting a subset of features from a larger set that are most strongly correlated with the classification labels and are most important for classification. Common feature selection algorithms include filter methods, embedded methods, and wrapper methods, each with its strengths and weaknesses. Consequently, researchers have increasingly combined these methods for multi-step feature selection (<xref ref-type="bibr" rid="B42">42</xref>). In the current study, we combined SelectKBest, the least absolute shrinkage and selection operator (LASSO) algorithm, and support vector machine (SVM). During the selection process, we employed 5-fold cross-validation for internal validation. The data were randomly divided into five parts, using four for training and one for testing, iterating five times. This minimizes the influence of individual anomalous data, providing a comprehensive assessment of model performance across different data subsets. Reducing bias from specific data partitions, it helps prevent overfitting and underfitting. The data were preprocessed for standardization and normalization. All machine learning analyses were implemented in Python programming language using the Scikit-Learn package v. 0.23.2 (<ext-link ext-link-type="uri" xlink:href="http://scikit-learn.org/stable/index.html">http://scikit-learn.org/stable/index.html</ext-link>).</p>
<p>First, we conducted filter feature selection using SelectKBest. SelectKBest utilizes analysis of variance F-values to assess the relationship between features and classification outcomes, selecting the top features with the largest F-values. We used grid search to determine the optimal selection threshold (20%), retaining the top 20% of features ranked by F-score for the next stage. This step ensures the relevance of the selected features to the classification and removes redundancy.</p>
<p>Although the filter selection method considers the relationship between features and classification labels, it does not account for multicollinearity among variables. The LASSO method addresses this by shrinking the coefficients of less important features to zero, reducing the number of features to the most significant ones (<xref ref-type="bibr" rid="B43">43</xref>). We used K-fold frequency selection based on LASSO to further refine the features. K-fold frequency selection is an enhanced variant of K-fold cross-validation, focusing on the selection of key features based on their selection frequency. This process generated five feature subsets from the five folds and recorded the frequency of features appearing in these subsets. We retained features selected in more than three out of five folds, ensuring the stability of the selected features and addressing potential redundancy. We used cross-validation to evaluate the effect of different regularization parameters (alpha). Alpha was uniformly sampled on a logarithmic scale from 10<sup>0</sup> to 10<sup>6</sup>, and the alpha corresponding to the lowest average loss across the 5 folds was selected. The tolerance in the LASSO model was set to 0.0001.</p>
<p>Next, we conducted SVM-based wrapper feature selection to determine the optimal feature set. Wrapper feature selection combines feature selection with the performance of the final classification model to filter the feature set with the highest contribution to classification. SVM has excellent generalization ability in pattern recognition with small samples and high-dimensional data, making it one of the most frequently used classification models in psychiatric brain imaging (<xref ref-type="bibr" rid="B44">44</xref>, <xref ref-type="bibr" rid="B45">45</xref>). The kernel for training the SVM model was linear, as this limits the risk of overfitting, contains only a single parameter, and the coefficients of a linear classifier can be interpreted as relative measures of feature importance. The regularization parameter (C) was selected using grid search, and the final value used was C = 10. Classification performance was measured using the following metrics: area under the receiver operating characteristic curve (ROC-AUC), accuracy, sensitivity, and specificity. To ensure robustness and generalization, we used 5-fold cross-validation for internal validation. Features from the previous step were input into the SVM model to derive average contribution rankings using SVM coefficients. We arranged features in descending order based on their rankings and progressively incorporated them into a new SVM model. After adding each feature, we retrained the SVM using four parts of the data and assessed its performance on the excluded part, generating five ROC curves and their respective AUC values, and then calculated the average AUC. As features with decreasing contributions were added, the mean AUC tended to stabilize or converge. Ultimately, we retained the features obtained before the model&#x2019;s convergence that significantly contributed to performance. These constituted the most discriminative feature set for distinguishing ASD from TD.</p>
</sec>
</sec>
<sec id="s3" sec-type="results">
<label>3</label>
<title>Results</title>
<sec id="s3_1">
<label>3.1</label>
<title>Filter selection based on SelectKBest</title>
<p>In the filter selection based on SelectKBest, we utilized the F-score to identify the top 20% of statistically significant features, resulting in 64 features in each fold. These features include hippocampal subfields such as the volume of the left CA2/3, left CA4, and right subiculum; subcortical structures including the volume of the left nucleus accumbens (NAc), bilateral thalamus, and bilateral pallidum, among others; and various cortical features, such as the surface area of the right caudal anterior cingulate cortex (ACC), the mean curvature of the right dorsolateral prefrontal cortex, and the volume of the left transverse temporal gyrus. These cortical features are distributed across the frontal, temporal, parietal, and occipital lobes.</p>
</sec>
<sec id="s3_2">
<label>3.2</label>
<title>Frequency selection based on LASSO</title>
<p>Further refinement using LASSO to reduce redundancy yielded varying numbers of features across the five folds: 31, 47, 28, 53, and 28 features, respectively (<xref ref-type="supplementary-material" rid="SM1">
<bold>Supplementary Tables S1</bold>
</xref>-<xref ref-type="supplementary-material" rid="SM1">
<bold>S5</bold>
</xref>). This variation indicates the instability of feature selection results due to the partitioning of the training and testing datasets. However, certain features were consistently chosen with high frequency across various folds, demonstrating resilience to dataset partitioning and offering substantial value for identification purposes. A total of 27 features appeared in three or more folds (<xref ref-type="table" rid="T2">
<bold>Table&#xa0;2</bold>
</xref>). Among these, 3 hippocampal subfield features were identified: the volume of left CA2/3, the volume of the right subiculum, and the volume of the left hippocampal tail. The LASSO coefficient path plot (<xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1</bold>
</xref>) and regularization path plot (<xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2</bold>
</xref>) illustrate that in the five-fold cross-validation experiment, the chosen parameters strike a favorable balance between the model&#x2019;s fitting performance and feature sparsity, indicating that our selection process effectively identifies features that contribute significantly to classification support. There is a significant reduction in the number of features compared to those selected by SelectKBest. However, considerable variation in the coefficients among the features still exists, indicating the potential for further refinement and selection.</p>
<table-wrap id="T2" position="float">
<label>Table&#xa0;2</label>
<caption>
<p>Importance ranking of features based on SVM.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" align="left">Features</th>
<th valign="middle" align="left">Ranking</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" align="left">left_temporalpole_meancurv</td>
<td valign="middle" align="left">1</td>
</tr>
<tr>
<td valign="middle" align="left">right_precuneus_area</td>
<td valign="middle" align="left">2</td>
</tr>
<tr>
<td valign="middle" align="left">right_caudalanteriorcingulate_area</td>
<td valign="middle" align="left">3</td>
</tr>
<tr>
<td valign="middle" align="left">right_caudalanteriorcingulate_volume</td>
<td valign="middle" align="left">4</td>
</tr>
<tr>
<td valign="middle" align="left">left_hipposubfields_CA2/3_volume</td>
<td valign="middle" align="left">5</td>
</tr>
<tr>
<td valign="middle" align="left">left_entorhinal_volume</td>
<td valign="middle" align="left">6</td>
</tr>
<tr>
<td valign="middle" align="left">left_transversetemporal_volume</td>
<td valign="middle" align="left">7</td>
</tr>
<tr>
<td valign="middle" align="left">left_postcentral_thickness</td>
<td valign="middle" align="left">8</td>
</tr>
<tr>
<td valign="middle" align="left">left_accumbens_area</td>
<td valign="middle" align="left">9</td>
</tr>
<tr>
<td valign="middle" align="left">left_caudalanteriorcingulate_thickness</td>
<td valign="middle" align="left">10</td>
</tr>
<tr>
<td valign="middle" align="left">right_pallidum_volume</td>
<td valign="middle" align="left">11</td>
</tr>
<tr>
<td valign="middle" align="left">right_cerebellum_cortex_volume</td>
<td valign="middle" align="left">12</td>
</tr>
<tr>
<td valign="middle" align="left">left_entorhinal_area</td>
<td valign="middle" align="left">13</td>
</tr>
<tr>
<td valign="middle" align="left">right_caudalmiddlefrontal_meancurv</td>
<td valign="middle" align="left">14</td>
</tr>
<tr>
<td valign="middle" align="left">right_hipposubfields_subiculum_volume</td>
<td valign="middle" align="left">15</td>
</tr>
<tr>
<td valign="middle" align="left">right_thalamus_volume</td>
<td valign="middle" align="left">16</td>
</tr>
<tr>
<td valign="middle" align="left">left_hipposubfields_hippocampal_tail_volume</td>
<td valign="middle" align="left">17</td>
</tr>
<tr>
<td valign="middle" align="left">right_postcentral_meancurv</td>
<td valign="middle" align="left">18</td>
</tr>
<tr>
<td valign="middle" align="left">left_lateralorbitofrontal_meancurv</td>
<td valign="middle" align="left">19</td>
</tr>
<tr>
<td valign="middle" align="left">left_parahippocampal_area</td>
<td valign="middle" align="left">20</td>
</tr>
<tr>
<td valign="middle" align="left">right_entorhinal_volume</td>
<td valign="middle" align="left">21</td>
</tr>
<tr>
<td valign="middle" align="left">right_precentral_meancurv</td>
<td valign="middle" align="left">22</td>
</tr>
<tr>
<td valign="middle" align="left">right_parahippocampal_area</td>
<td valign="middle" align="left">23</td>
</tr>
<tr>
<td valign="middle" align="left">right_parahippocampal_thickness</td>
<td valign="middle" align="left">24</td>
</tr>
<tr>
<td valign="middle" align="left">left_pallidum_volume</td>
<td valign="middle" align="left">25</td>
</tr>
<tr>
<td valign="middle" align="left">right_inferiortemporal_thickness</td>
<td valign="middle" align="left">26</td>
</tr>
<tr>
<td valign="middle" align="left">estimated_totalintracranial_volume</td>
<td valign="middle" align="left">27</td>
</tr>
</tbody>
</table>
</table-wrap>
<fig id="f1" position="float">
<label>Figure&#xa0;1</label>
<caption>
<p>LASSO coefficient path plot. Panels <bold>(A&#x2013;E)</bold> display the LASSO coefficient paths for each fold. The horizontal axis shows the magnitude of the regularization parameter, while the vertical axis shows the coefficients of the features.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpsyt-15-1463654-g001.tif"/>
</fig>
<fig id="f2" position="float">
<label>Figure&#xa0;2</label>
<caption>
<p>LASSO regularization path plot. In Panels <bold>(A&#x2013;E)</bold> each curve represents the variation of the LASSO regularization path within a fold. The horizontal axis of the curve represents the magnitude of the regularization parameter, while the vertical axis represents the loss value.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpsyt-15-1463654-g002.tif"/>
</fig>
</sec>
<sec id="s3_3">
<label>3.3</label>
<title>Analysis of the final SVM-based voting selection</title>
<p>All 27 features were initially input into the SVM model, resulting in a ranking of feature importance, as shown in <xref ref-type="table" rid="T2">
<bold>Table&#xa0;2</bold>
</xref>. In the analysis of feature performance based on SVM voting (<xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3</bold>
</xref>), features were incrementally added in descending order of importance to form new feature subsets. These subsets were then inputted into new SVM models. As new features were incorporated, the average AUC value of the test set improved gradually. Furthermore, the contribution of lower-ranked features to classification gradually diminished. The final AUC converged to 0.77 and subsequent addition of low-contributing features had minimal impact on classification improvement. At model convergence, the classification performance was as follows: AUC = 0.77, accuracy = 71.1%, sensitivity = 68.0%, and specificity = 79.7%. This demonstrates the outstanding performance of the selected features. The final set of features that significantly contributed to distinguishing ASD from TD included: mean curvature of the left temporal pole, surface area of the right precuneus, surface area of the right caudal anterior cingulate cortex, volume of the right caudal anterior cingulate cortex, volume of the left CA2/3, volume of the left entorhinal cortex, volume of the left transverse temporal gyrus, cortical thickness of the left postcentral gyrus, and volume of the left nucleus accumbens.</p>
<fig id="f3" position="float">
<label>Figure&#xa0;3</label>
<caption>
<p>ROC curves and AUC values of the SVM-based voting selection analysis.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpsyt-15-1463654-g003.tif"/>
</fig>
</sec>
</sec>
<sec id="s4" sec-type="discussion">
<label>4</label>
<title>Discussion</title>
<p>In previous studies, structural abnormalities in various brain regions have been reported among individuals with ASD. However, there has been limited investigation into which specific brain regions exhibit more distinct structural abnormalities in ASD. In our study, we employed a Progressive Feature Refinement Approach to identify nine critical features for distinguishing between individuals with ASD and TD. We integrated both cortical and subcortical features, particularly focusing on hippocampal subfields. These features include: left temporal pole (mean curvature), right precuneus (surface area), right caudal anterior cingulate cortex (surface area), right caudal anterior cingulate cortex (volume), left CA2/3 (volume), left entorhinal cortex (volume), left transverse temporal gyrus (volume), left postcentral gyrus (cortical thickness), left nucleus accumbens (volume). These findings suggest that these specific brain regions may play a more prominent role in the differentiation of individuals with ASD from healthy controls and in the underlying pathophysiology of ASD.</p>
<p>Regarding the subcortical features identified by our method, the regions demonstrating the most robust discriminative power include the left CA2/3 and the left NAc. These subcortical regions have been associated with critical functions in the context of ASD. CA2/3 is one of the hippocampal subfields that has received significant attention in recent years. CA2, in particular, has been consistently identified as essential for social memory in several rodent studies (<xref ref-type="bibr" rid="B31">31</xref>&#x2013;<xref ref-type="bibr" rid="B33">33</xref>, <xref ref-type="bibr" rid="B46">46</xref>). Additionally, CA2/3 is closely related to the regulation of oxytocin, which plays an important role in human prosocial behavior. Oxytocin receptors are highly concentrated in CA2/3, and studies have found that these receptors regulate CA2/3&#x2019;s response to social stimuli (<xref ref-type="bibr" rid="B47">47</xref>). These findings suggest that CA2/3 may be involved in the pathophysiology of core symptoms in ASD. However, studies on hippocampal subfields in human subjects with ASD are extremely rare. Li et&#xa0;al. (<xref ref-type="bibr" rid="B48">48</xref>, <xref ref-type="bibr" rid="B49">49</xref>) reported that infants with ASD aged 6 to 24 months showed sustained overgrowth in bilateral CA1-3, particularly in the left CA1-3, compared to TD infants. This overgrowth in CA1-3 could serve as a potential biomarker for early ASD diagnosis. In our study, the left CA2/3 volume emerged as a key discriminative feature between ASD and TD, suggesting that CA2/3 abnormalities may persist from infancy through adolescence. This also highlights its potential involvement in the pathophysiology of ASD, warranting further investigation. Unfortunately, in the current FreeSurfer segmentation protocol, the CA2 and CA3 regions cannot be accurately distinguished and are therefore represented as a combined CA2/3 region. Future advancements in more precise segmentation tools may provide valuable insights into the distinct roles of CA2 and CA3 in the pathology of ASD. The NAc is considered a pivotal structure involved in the social reward response (<xref ref-type="bibr" rid="B50">50</xref>). Developmental trajectories of the NAc have been observed to differ between individuals with ASD and neurotypical controls (<xref ref-type="bibr" rid="B51">51</xref>). Furthermore, a recent meta-analysis of functional magnetic resonance imaging (fMRI) studies found that individuals with ASD exhibit NAc hypoactivation in response to nonsocial rewards, while atypical NAc activation was observed during restricted interests tasks (<xref ref-type="bibr" rid="B52">52</xref>). This suggests that NAc dysfunction may be related to the pathological mechanisms underlying ASD. Consequently, NAc is considered a potential target for deep brain stimulation in ASD due to its prominent role in modulating reward and pleasure processing (<xref ref-type="bibr" rid="B50">50</xref>). It is evident that these subcortical structures identified by our method hold significant relevance in the pathology of ASD.</p>
<p>Our findings underscore the critical importance of subcortical features in distinguishing individuals with ASD from TD subjects. In previous machine learning studies focused on ASD classification, cortical features have often taken precedence, while subcortical structures have received comparatively less attention. This was primarily due to historical challenges in accurately segmenting subcortical structures and a resulting lack of research emphasis, leading to their relative neglect in subsequent studies (<xref ref-type="bibr" rid="B53">53</xref>). However, an increasing body of evidence highlights the relevance of subcortical structures in distinguishing ASD from TD. For instance, Duan et&#xa0;al. (<xref ref-type="bibr" rid="B54">54</xref>) mapped the structural covariance network of subcortical regions in groups of young children with ASD and TD. Their findings revealed decreased inter-hemispheric structural covariation, including structural covariance between the left and right thalami, left NAc and right globus pallidus, left globus pallidus and right NAc, and enhanced intra-hemispheric structural covariation in young children with ASD compared to TD individuals. These abnormalities in subcortical structural covariance were predictive of social communication deficits and repetitive and stereotypic behaviors in ASD. Wee et&#xa0;al. (<xref ref-type="bibr" rid="B55">55</xref>) found that subcortical volume was significantly superior to other feature types in distinguishing ASD from TD, this advantage is more pronounced in younger subjects (<xref ref-type="bibr" rid="B56">56</xref>). Our framework utilized the latest FreeSurfer templates for precise segmentation of subcortical structures and hippocampal subfields. The results suggest that subcortical structural abnormalities may represent a stable feature of ASD pathology and play a significant role in distinguishing individuals with ASD from TD.</p>
<p>It is worth noting that the amygdala, a subcortical structure frequently associated with abnormalities in previous studies (<xref ref-type="bibr" rid="B57">57</xref>, <xref ref-type="bibr" rid="B58">58</xref>), was not identified by our framework as one of the most characteristic brain structures in ASD. This observation may be attributed to the age range of our study subjects, which spanned from 7 to 18 years. In individuals with ASD, abnormalities in the amygdala tend to diminish in prominence with age, converging towards sizes found in TD adolescents and adults (<xref ref-type="bibr" rid="B59">59</xref>, <xref ref-type="bibr" rid="B60">60</xref>).</p>
<p>In the realm of cortical structures, left temporal pole, right precuneus, right caudal anterior cingulate cortex, left entorhinal cortex, left transverse temporal gyrus, and left postcentral gyrus emerge as the most distinguishing regions. These brain regions have frequently surfaced in previous research on ASD. The caudal anterior cingulate cortex, acting as a processing hub for cognitive control and emotion regulation, integrates both external and internal information, enabling sophisticated control over decisions and behaviors in specific situations (<xref ref-type="bibr" rid="B61">61</xref>, <xref ref-type="bibr" rid="B62">62</xref>). Several studies have found structural and functional abnormalities in the right caudal anterior cingulate cortex in individuals with ASD. Ecker et&#xa0;al. (<xref ref-type="bibr" rid="B63">63</xref>) observed reductions in the surface area of the anterior cingulate in ASD. Furthermore, the right anterior cingulate cortex has been reported to be significantly smaller in relative volume and less metabolically active in individuals with ASD compared to neurotypical controls (<xref ref-type="bibr" rid="B64">64</xref>). The ACC reliably activates when individuals observe emotional faces, listen to emotionally charged voices, or engage in tasks requiring consideration of others&#x2019; mental states (<xref ref-type="bibr" rid="B65">65</xref>). In ASD males, a significant reduction in self-response in the caudal anterior cingulate cortex was observed during social-exchange games, and this reduction is correlated with the severity of their assessed behavioral symptoms (<xref ref-type="bibr" rid="B66">66</xref>). The temporal pole plays crucial roles in socio-emotional processing, advanced semantic processing, theory of mind (ToM), face processing, and autobiographical memory (<xref ref-type="bibr" rid="B67">67</xref>, <xref ref-type="bibr" rid="B68">68</xref>). A study investigating cortical characteristics across the lifespan of individuals with ASD found that greater symptom severity in ASD is associated with reduced gray matter volume in the temporal pole (<xref ref-type="bibr" rid="B69">69</xref>). Ji et&#xa0;al. (<xref ref-type="bibr" rid="B70">70</xref>) discovered that the volume of the temporal pole is associated with the severity of social and speech impairments in patients with ASD who have comorbid developmental delay, with larger volumes linked to greater clinical symptom severity. Rolls et&#xa0;al. (<xref ref-type="bibr" rid="B71">71</xref>) reported decreased effective connectivity from the temporal pole to the ventromedial prefrontal cortex in individuals with ASD. Bai et&#xa0;al. (<xref ref-type="bibr" rid="B72">72</xref>) found that functional connectivity in the left temporal pole and the left superior temporal gyrus is positively correlated with adaptability and language developmental quotient in children with ASD. The precuneus is crucial for maintaining various important cognitive functions, such as ToM, self-referential processing, episodic memory, and visuospatial processing (<xref ref-type="bibr" rid="B73">73</xref>, <xref ref-type="bibr" rid="B74">74</xref>). A meta-analysis found that individuals with ASD have increased gray matter volume in the right precuneus compared to TD subjects (<xref ref-type="bibr" rid="B75">75</xref>). Lynch et&#xa0;al. (<xref ref-type="bibr" rid="B76">76</xref>) found that in children with ASD, the precuneus demonstrated hypoconnectivity with the visual cortex, basal ganglia, and locally within the posteromedial cortex. A recent study found that the connectivity between the precuneus and temporal lobe is atypically correlated with language expression abilities in infants with ASD, highlighting the precuneus&#x2019;s involvement in the early neural mechanisms underlying ASD (<xref ref-type="bibr" rid="B77">77</xref>). The entorhinal cortex, a key component of the medial temporal lobe and the primary gateway to the hippocampus, is essential for memory and spatial navigation (<xref ref-type="bibr" rid="B78">78</xref>). Kwon et&#xa0;al. (<xref ref-type="bibr" rid="B79">79</xref>) found that individuals with ASD exhibit reduced gray matter density in the entorhinal cortex compared to controls, highlighting its structural abnormalities in ASD. Additionally, Salmond et&#xa0;al. (<xref ref-type="bibr" rid="B80">80</xref>) observed a significant correlation between parental ratings of autistic symptomatology and gray matter density in the entorhinal cortex in individuals with ASD. The transverse temporal gyrus, also known as Heschl&#x2019;s gyrus, contains the primary auditory cortex and is crucial for auditory processing (<xref ref-type="bibr" rid="B81">81</xref>, <xref ref-type="bibr" rid="B82">82</xref>). Heschl&#x2019;s gyrus is essential not only for processing external auditory stimuli but also for processing &#x2018;inner voices&#x2019; (<xref ref-type="bibr" rid="B83">83</xref>). Individuals with ASD exhibit various atypical auditory processing patterns, such as hypersensitivity to volume, abnormal pitch perception, and atypical orientation to auditory stimuli, which researchers believe may be related to atypical development of the auditory cortex (<xref ref-type="bibr" rid="B84">84</xref>). Reports indicate structural and functional abnormalities of Heschl&#x2019;s gyrus in individuals with ASD. Hyde et&#xa0;al. (<xref ref-type="bibr" rid="B85">85</xref>) demonstrated that adults with autism exhibit increased cortical thickness in Heschl&#x2019;s gyrus compared to controls. Kim et&#xa0;al. (<xref ref-type="bibr" rid="B86">86</xref>)utilized graph theory to examine alterations in different brain network topologies of low-functioning ASD, revealing that increased nodal strength in the right Heschl&#x2019;s gyrus was positively correlated with the severity of clinical autistic symptoms. The postcentral gyrus, where the primary sensory cortex is located, is known for its central role in processing sensory information from various parts of the body (<xref ref-type="bibr" rid="B87">87</xref>). In recent years, sensory sensitivities have been recognized as a core diagnostic feature of ASD, and atypical responses in primary sensory cortices have been observed in autism across sensory modalities and during multimodal perception (<xref ref-type="bibr" rid="B88">88</xref>). Mahajan et&#xa0;al. (<xref ref-type="bibr" rid="B89">89</xref>) reported that children with ASD have increased gray matter volume in bilateral postcentral gyrus.</p>
<p>A noteworthy characteristic of these highly discriminative brain regions is their substantial overlap with areas associated with the reward system. The reward system supports normal social motivation, facilitating the initiation, maintenance, learning, and adaptation of social interactions (<xref ref-type="bibr" rid="B90">90</xref>&#x2013;<xref ref-type="bibr" rid="B92">92</xref>), and consists of the ventral tegmental area, NAc, ACC, orbitofrontal cortex, ventromedial prefrontal cortex, hippocampus, amygdala, thalamus, temporal pole, precuneus (<xref ref-type="bibr" rid="B93">93</xref>&#x2013;<xref ref-type="bibr" rid="B95">95</xref>). The &#x201c;social motivation hypothesis&#x201d; posits that individuals with ASD experience deficits in processing social rewards, leading to impaired social skills (<xref ref-type="bibr" rid="B96">96</xref>). Additionally, multiple fMRI studies have demonstrated that both children and adults with ASD exhibit abnormal responses to both social and monetary rewards (<xref ref-type="bibr" rid="B94">94</xref>, <xref ref-type="bibr" rid="B97">97</xref>), indicating that general impairments in reward processing underlie the pathophysiology of autism (<xref ref-type="bibr" rid="B94">94</xref>). Such abnormalities in reward processing may contribute to maladaptive motivated behaviors, resulting in a propensity to focus on specific, autism-specific objects and situations rather than conventional environmental rewards (<xref ref-type="bibr" rid="B97">97</xref>). Consequently, the social interaction deficits and restricted repetitive behaviors and interests characteristic of ASD may reflect their abnormal functioning of reward circuits in the brain (<xref ref-type="bibr" rid="B98">98</xref>). Importantly, critical areas involved in processing social and monetary rewards, such as the NAc, hippocampus, ACC, temporal pole, and precuneus, highly coincide with the regions from which we extracted features. A meta-analysis of previous studies indicated that functional changes in the reward system are associated with the core symptoms of ASD (<xref ref-type="bibr" rid="B52">52</xref>). In social reward stimuli tasks, the left hippocampus and anterior cingulate cortex exhibited hypoactivation. In nonsocial reward stimuli tasks, bilateral nucleus accumbens and anterior cingulate cortex showed hypoactivation, while hyperactivation was observed in the right hippocampus. In response to restricted interests, the left nucleus accumbens and anterior cingulate cortex demonstrated hypoactivation, whereas the left precuneus cortex and right nucleus accumbens exhibited hyperactivation. These findings suggest that atypical activation in these reward system structures may contribute to diminished reward responses to social stimuli in individuals with ASD, alongside abnormal reward responses to nonsocial stimuli and restricted interests, potentially leading to social deficits and restricted interests. While previous studies on reward processing in ASD have primarily focused on functional investigations using fMRI, this study provides rare evidence of structural impairments in the reward system of individuals with ASD, indicating that abnormalities in the reward system are not limited to functional changes but also include stable structural alterations in individuals with ASD.</p>
<p>Furthermore, the features with the highest discriminative contribution also show significant overlap with the ToM network. Human social cognitive functions are closely linked with the ToM network, and the theory of mind hypothesis posits that impairments in ToM abilities lead to social impairments in individuals with ASD (<xref ref-type="bibr" rid="B99">99</xref>). Dysfunction in the ToM network has been extensively reported in ASD and is confirmed to play a significant role in the disorder&#x2019;s underlying pathological mechanisms (<xref ref-type="bibr" rid="B100">100</xref>&#x2013;<xref ref-type="bibr" rid="B104">104</xref>). The ACC and precuneus are important components of the ToM network and were also included among the most distinctive features identified in our results.</p>
<p>Several limitations of this study should be acknowledged. The first limitation of our study is the age range of our participants, which spanned from 7 to 18 years. Consequently, our findings might not accurately reflect the characteristics of the broader ASD population. Additionally, the ongoing brain development during childhood and adolescence may exhibit complex, age-related patterns of structural changes. The broad age distribution in our study&#x2014;from childhood to adolescence&#x2014;may obscure some of these nuanced changes, potentially impacting our results. In future research, we plan to expand the age range and conduct longitudinal studies, aiming to explore the similarities and differences in key brain structural features of ASD across various developmental stages. Secondly, inherent constraints in clinical research led to a limited sample size for the TD group. Future studies should increase the TD sample size to enhance our understanding of atypical brain development in autism. Thirdly, in order to retain a sample that more closely resembles real-world populations, we included participants in the ASD group with IQ below 70, as well as those with comorbid ADHD and/or Tic disorders, and those taking medications. Although excluding these participants entirely could reduce the ecological validity of the study, factors such as IQ, comorbidities, and medication use may still influence the results. Future studies could collect larger samples to further explore these effects. Fourthly, the present study lacked external validation, which is a common limitation of medical studies. Future research should conduct external validation with an independent sample to further verify the model. Fifthly, the SVM model is relatively simple, using straightforward mappings to encode feature relationships. While effective, it may not capture all valuable features. In the future, we can explore more complex interactions between features by introducing advanced deep learning models and interpretable methods based on game theory. Lastly, the selected structural features may indicate developmental abnormalities in ASD or could be the result of functional compensation. Future research is needed to explore these possibilities in greater depth. Despite these limitations, the present study highlights the most crucial structural features for distinguishing between ASD and TD individuals. A strength of our investigation is that we combined different feature selection methods, leveraging their advantages and mitigating their weaknesses, thus effectively removing redundancy. Another advantage is the inclusion of hippocampal subfields. To the best of our knowledge, this is the first study that employs machine learning to investigate the role of hippocampal subfield abnormalities in brain structural anomalies among children and adolescents with ASD. Our findings may help guide future research focused on understanding the role of hippocampal subfields in the pathophysiology of ASD.</p>
<p>In conclusion, our study, employing a Progressive Feature Refinement Approach using LASSO and SVM, identified 9 features out of 317 that significantly distinguish between ASD and TD individuals. These features are closely associated with core impairments in ASD. Notably, both cortical and subcortical structures, including one of the hippocampal subfields, play critical roles and highly overlap with the reward system. Our findings suggest that structural impairments in the brain&#x2019;s reward system, along with abnormalities in a specific hippocampal subfield, may contribute to a better understanding of the pathophysiology and etiology of ASD. Further research is needed to delve deeper into these findings.</p>
</sec>
</body>
<back>
<sec id="s5" sec-type="data-availability">
<title>Data availability statement</title>
<p>The datasets presented in this article are not readily available because the data analyzed in this study is subject to the following licenses/restrictions: due to the nature of this research, participants did not consent to their data being shared publicly. Therefore, the supporting data is not available. Requests to access the datasets should be directed to Jing Liu, <email xlink:href="mailto:ljyuch@bjmu.edu.cn">ljyuch@bjmu.edu.cn</email>.</p>
</sec>
<sec id="s6" sec-type="ethics-statement">
<title>Ethics statement</title>
<p>The studies involving humans were approved by the Ethics Committee of Peking University Sixth Hospital. The studies were conducted in accordance with the local legislation and institutional requirements. Written informed consent for participation in this study was provided by the participants' legal guardians or together with the participants.</p>
</sec>
<sec id="s7" sec-type="author-contributions">
<title>Author contributions</title>
<p>BS: Investigation, Formal analysis, Data curation, Writing &#x2013; original draft. YX: Formal analysis, Data curation, Writing &#x2013; original draft. SK: Investigation, Data curation, Writing &#x2013; review &amp; editing. AS: Formal analysis, Writing &#x2013; review &amp; editing. TY: Investigation, Writing &#x2013; review &amp; editing. LZ: Investigation, Writing &#x2013; review &amp; editing. XS: Investigation, Writing &#x2013; review &amp; editing. JC: Investigation, Writing &#x2013; review &amp; editing. HW: Investigation, Writing &#x2013; review &amp; editing. XG: Investigation, Writing &#x2013; review &amp; editing. QL: Investigation, Writing &#x2013; review &amp; editing. GH: Investigation, Writing &#x2013; review &amp; editing. SP: Investigation, Writing &#x2013; review &amp; editing. XL: Conceptualization, Funding acquisition, Writing &#x2013; review &amp; editing. JL: Conceptualization, Funding acquisition, Writing &#x2013;&#xa0;review &amp; editing.</p>
</sec>
<sec id="s8" sec-type="funding-information">
<title>Funding</title>
<p>The author(s) declare financial support was received for the&#xa0;research, authorship, and/or publication of this article. The&#xa0;study was supported by grants from the National Key R&amp;D Program of China (No. 2017YFC1309900), the National Natural Science Foundation of China (No. 81571339, and 81271508), Beijing&#xa0;Municipal Science and Technology Commission (Z181100001518005, and 7164314). The funders had no role in the design of the study; in the collection, analyses, or interpretation of data; in the writing of the manuscript; or in the decision to publish the results.</p>
</sec>
<ack>
<title>Acknowledgments</title>
<p>We want to thank all participants and their families for their time and energy they put into participating in this study.</p>
</ack>
<sec id="s9" sec-type="COI-statement">
<title>Conflict of interest</title>
<p>Author AS was employed by the company Yizhun Medical AI Co., Ltd.</p>
<p>The remaining 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 id="s10" sec-type="disclaimer">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors&#xa0;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 id="s11" sec-type="supplementary-material">
<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/fpsyt.2024.1463654/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/fpsyt.2024.1463654/full#supplementary-material</ext-link>
</p>
<supplementary-material xlink:href="Table1.docx" id="SM1" mimetype="application/vnd.openxmlformats-officedocument.wordprocessingml.document"/>
</sec>
<fn-group>
<title>Abbreviations</title>
<fn fn-type="abbr" id="abbrev1">
<p>ACC, Anterior cingulate cortex; ADHD, Attention-deficit/hyperactivity disorder; ASD, Autism spectrum disorder; AUC, Area under the curve; fMRI, Functional magnetic resonance imaging; LASSO, Least absolute shrinkage and selection operator; MRI, Magnetic resonance imaging; NAc, nucleus accumbens; ROC, Receiver operating characteristic; SVM, Support vector machine; TD, Typically developed; ToM, Theory of mind.</p>
</fn>
</fn-group>
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