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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Genet.</journal-id>
<journal-title>Frontiers in Genetics</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Genet.</abbrev-journal-title>
<issn pub-type="epub">1664-8021</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">1356205</article-id>
<article-id pub-id-type="doi">10.3389/fgene.2024.1356205</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Genetics</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Finding potential lncRNA&#x2013;disease associations using a boosting-based ensemble learning model</article-title>
<alt-title alt-title-type="left-running-head">Zhou 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/fgene.2024.1356205">10.3389/fgene.2024.1356205</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Zhou</surname>
<given-names>Liqian</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/857760/overview"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
<role content-type="https://credit.niso.org/contributor-roles/Writing - review &#x26; editing/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Peng</surname>
<given-names>Xinhuai</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
<role content-type="https://credit.niso.org/contributor-roles/Writing - review &#x26; editing/"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Zeng</surname>
<given-names>Lijun</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
<role content-type="https://credit.niso.org/contributor-roles/Writing - review &#x26; editing/"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Peng</surname>
<given-names>Lihong</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/601035/overview"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
<role content-type="https://credit.niso.org/contributor-roles/Writing - review &#x26; editing/"/>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>School of Computer Science</institution>, <institution>Hunan University of Technology</institution>, <addr-line>Zhuzhou</addr-line>, <addr-line>Hunan</addr-line>, <country>China</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>School of Computer Science</institution>, <institution>Hunan Institute of Technology</institution>, <addr-line>Hengyang</addr-line>, <country>China</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/720835/overview">Wen Zhang</ext-link>, Huazhong Agricultural University, China</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/2346841/overview">Advait Balaji</ext-link>, Occidental Petroleum Corporation, United States</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1080094/overview">XianFang Tang</ext-link>, Wuhan Textile University, China</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/801622/overview">Guohua Huang</ext-link>, Shaoyang University, China</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/805132/overview">Ying Liang</ext-link>, Jiangxi Agricultural University, China</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Lijun Zeng, <email>zenglijun@hnit.edu.cn</email>; Lihong Peng, <email>plhhnu@163.com</email>
</corresp>
</author-notes>
<pub-date pub-type="epub">
<day>01</day>
<month>03</month>
<year>2024</year>
</pub-date>
<pub-date pub-type="collection">
<year>2024</year>
</pub-date>
<volume>15</volume>
<elocation-id>1356205</elocation-id>
<history>
<date date-type="received">
<day>18</day>
<month>12</month>
<year>2023</year>
</date>
<date date-type="accepted">
<day>01</day>
<month>02</month>
<year>2024</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2024 Zhou, Peng, Zeng and Peng.</copyright-statement>
<copyright-year>2024</copyright-year>
<copyright-holder>Zhou, Peng, Zeng and Peng</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>
<bold>Introduction:</bold> Long non-coding RNAs (lncRNAs) have been in the clinical use as potential prognostic biomarkers of various types of cancer. Identifying associations between lncRNAs and diseases helps capture the potential biomarkers and design efficient therapeutic options for diseases. Wet experiments for identifying these associations are costly and laborious.</p>
<p>
<bold>Methods:</bold> We developed LDA-SABC, a novel boosting-based framework for lncRNA&#x2013;disease association (LDA) prediction. LDA-SABC extracts LDA features based on singular value decomposition (SVD) and classifies lncRNA&#x2013;disease pairs (LDPs) by incorporating LightGBM and AdaBoost into the convolutional neural network.</p>
<p>
<bold>Results:</bold> The LDA-SABC performance was evaluated under five-fold cross validations (CVs) on lncRNAs, diseases, and LDPs. It obviously outperformed four other classical LDA inference methods (SDLDA, LDNFSGB, LDASR, and IPCAF) through precision, recall, accuracy, F1 score, AUC, and AUPR. Based on the accurate LDA prediction performance of LDA-SABC, we used it to find potential lncRNA biomarkers for lung cancer. The results elucidated that 7SK and HULC could have a relationship with non-small-cell lung cancer (NSCLC) and lung adenocarcinoma (LUAD), respectively.</p>
<p>
<bold>Conclusion:</bold> We hope that our proposed LDA-SABC method can help improve the LDA identification.</p>
</abstract>
<kwd-group>
<kwd>lncRNA&#x2013;disease association</kwd>
<kwd>singular value decomposition</kwd>
<kwd>LightGBM</kwd>
<kwd>AdaBoost</kwd>
<kwd>convolutional neural network</kwd>
</kwd-group>
<contract-num rid="cn001">62072172</contract-num>
<contract-sponsor id="cn001">National Natural Science Foundation of China<named-content content-type="fundref-id">10.13039/501100001809</named-content>
</contract-sponsor>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Computational Genomics</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec sec-type="intro" id="s1">
<title>1 Introduction</title>
<p>Long non-coding RNAs (lncRNAs) are important RNA molecules comprising more than 200 nucleotides (<xref ref-type="bibr" rid="B29">Jiang et al., 2015</xref>; <xref ref-type="bibr" rid="B41">Liu et al., 2021</xref>; <xref ref-type="bibr" rid="B14">Chen et al., 2023</xref>). lncRNAs have been in the clinical use as prognostic biomarkers of many complex diseases, including cancers (<xref ref-type="bibr" rid="B66">Tang et al., 2022</xref>; <xref ref-type="bibr" rid="B67">2021</xref>; <xref ref-type="bibr" rid="B26">Huo et al., 2021</xref>). For example, liver-specific lncRNA FAM99A plays a cancer-inhibiting role in hepatocellular carcinoma and might serve as its prognostic biomarker (<xref ref-type="bibr" rid="B47">Mo et al., 2022</xref>). Exosomal RP5-977B1 might be a diagnostic biomarker of non-small-cell lung cancer (NSCLC) (<xref ref-type="bibr" rid="B46">Min et al., 2022</xref>). MALAT1 has been broadly applied for its oncogenic properties in lung cancer (<xref ref-type="bibr" rid="B83">Xin et al., 2023</xref>), bladder cancer (<xref ref-type="bibr" rid="B32">Li et al., 2017</xref>), breast cancer (<xref ref-type="bibr" rid="B2">Adewunmi et al., 2023</xref>), and ovarian cancer (<xref ref-type="bibr" rid="B45">Mao et al., 2021</xref>). Identifying possible relationships between lncRNAs and diseases helps capture potential biomarkers for various cancers and provide clues for their diagnosis and treatment (<xref ref-type="bibr" rid="B69">Wang et al., 2021</xref>). Traditional wet experiments for detecting new lncRNA&#x2013;disease associations (LDAs) are costly and have low success rates; computational techniques have been increasingly developed to discover new LDAs (<xref ref-type="bibr" rid="B11">Chen et al., 2021</xref>; <xref ref-type="bibr" rid="B95">Zhao et al., 2023</xref>). Meanwhile, various lncRNA-related databases, such as MNDR v2.0 (<xref ref-type="bibr" rid="B15">Cui et al., 2018</xref>), Lnc2Cancer (<xref ref-type="bibr" rid="B48">Ning et al., 2016</xref>), LncRNADisease 3.0 (<xref ref-type="bibr" rid="B37">Lin et al., 2023b</xref>), and NRED (<xref ref-type="bibr" rid="B16">Dinger et al., 2009</xref>), provide diverse LDA data resources. Based on these resources, many computational methods, especially network-based and machine learning methods, have been applied to LDA prediction (<xref ref-type="bibr" rid="B12">Chen et al., 2017</xref>; <xref ref-type="bibr" rid="B9">Chen and Huang, 2022</xref>; <xref ref-type="bibr" rid="B62">Sheng et al., 2023</xref>).</p>
<p>Network-based methods predict new LDAs through label propagation and multi-information fusion on the heterogeneous lncRNA&#x2013;disease networks (<xref ref-type="bibr" rid="B28">Jiang et al., 2010</xref>; <xref ref-type="bibr" rid="B99">Zou et al., 2016</xref>; <xref ref-type="bibr" rid="B24">Hu et al., 2017</xref>; <xref ref-type="bibr" rid="B74">Wang et al., 2019</xref>; <xref ref-type="bibr" rid="B86">Yu et al., 2020</xref>; <xref ref-type="bibr" rid="B60">Qiu et al., 2023b</xref>). Chen et al. conducted many research studies and significantly promoted LDA prediction (<xref ref-type="bibr" rid="B13">Chen and Yan, 2013</xref>; <xref ref-type="bibr" rid="B8">Chen et al., 2015</xref>; <xref ref-type="bibr" rid="B6">Chen, 2015a</xref>; <xref ref-type="bibr" rid="B7">Chen, 2015b</xref>). Based on these studies, they comprehensively concluded the current computational methods for non-coding RNA analysis and unfolded existing challenges and corresponding solutions (<xref ref-type="bibr" rid="B9">Chen and Huang, 2022</xref>; <xref ref-type="bibr" rid="B10">2023</xref>). Xie et al. used the unbalanced bi-random walk algorithm (<xref ref-type="bibr" rid="B80">Xie et al., 2020b</xref>; <xref ref-type="bibr" rid="B79">a</xref>) and bidirectional linear neighborhood label propagation (<xref ref-type="bibr" rid="B81">Xie et al., 2023</xref>) for LDA identification. In addition, a random walk with a restart algorithm (<xref ref-type="bibr" rid="B70">Wang et al., 2022</xref>) has been still applied to find new LDAs. Network-based methods found many possible LDAs, but they did not analyze the topological features of LDA networks.</p>
<p>Machine learning methods have been applied to various association discovery tasks (<xref ref-type="bibr" rid="B100">Zou et al., 2018</xref>; <xref ref-type="bibr" rid="B49">Peng et al., 2019</xref>; <xref ref-type="bibr" rid="B55">2022b</xref>; <xref ref-type="bibr" rid="B61">Shen et al., 2022</xref>; <xref ref-type="bibr" rid="B77">Wu et al., 2022</xref>; <xref ref-type="bibr" rid="B87">Yu et al., 2022</xref>; <xref ref-type="bibr" rid="B36">Lin et al., 2023a</xref>; <xref ref-type="bibr" rid="B50">Peng et al., 2023a</xref>; <xref ref-type="bibr" rid="B54">Peng et al., 2023b</xref>; <xref ref-type="bibr" rid="B56">Peng et al., 2024b</xref>; <xref ref-type="bibr" rid="B21">Han et al., 2023</xref>; <xref ref-type="bibr" rid="B42">Liu and Zhang, 2023</xref>; <xref ref-type="bibr" rid="B58">Qi and Zou, 2023</xref>; <xref ref-type="bibr" rid="B84">Xiong et al., 2023</xref>; <xref ref-type="bibr" rid="B85">Xu et al., 2024</xref>; <xref ref-type="bibr" rid="B92">Zhang et al., 2024</xref>). Consequently, machine learning algorithms have been broadly applied in LDA prediction, for example, collaborative filtering (<xref ref-type="bibr" rid="B88">Yu et al., 2019</xref>), graph regularization (<xref ref-type="bibr" rid="B38">Liu et al., 2020</xref>; <xref ref-type="bibr" rid="B71">Wang et al., 2021</xref>), matrix factorization (<xref ref-type="bibr" rid="B18">Fu et al., 2018</xref>; <xref ref-type="bibr" rid="B75">Wang et al., 2020</xref>; <xref ref-type="bibr" rid="B78">Xi et al., 2022</xref>), heterogeneous graph learning framework, (<xref ref-type="bibr" rid="B3">Cao et al., 2023</xref>), and ensemble learning models (<xref ref-type="bibr" rid="B53">Peng et al., 2022a</xref>). Notably, deep learning has been broadly applied due to its powerful classification performance (<xref ref-type="bibr" rid="B63">Sun et al., 2022</xref>; <xref ref-type="bibr" rid="B72">Wang et al., 2023</xref>; <xref ref-type="bibr" rid="B72">Wang et al., 2023b</xref>; <xref ref-type="bibr" rid="B23">Hu et al., 2023</xref>; <xref ref-type="bibr" rid="B27">Jiang et al., 2023</xref>; <xref ref-type="bibr" rid="B94">Zhang et al., 2023</xref>; <xref ref-type="bibr" rid="B91">Zhang and Wu, 2023</xref>; <xref ref-type="bibr" rid="B96">Zhou et al., 2024a</xref>), such as in the graph convolution network (<xref ref-type="bibr" rid="B73">Wang W. et al., 2022</xref>), node2vec (<xref ref-type="bibr" rid="B33">Li et al., 2021</xref>), collaborative deep learning (<xref ref-type="bibr" rid="B31">Lan et al., 2020</xref>), deep neural network (<xref ref-type="bibr" rid="B76">Wei et al., 2020</xref>), deep multi-network embedding (<xref ref-type="bibr" rid="B44">Ma, 2022</xref>), graph autoencoder (<xref ref-type="bibr" rid="B35">Liang et al., 2023</xref>; <xref ref-type="bibr" rid="B97">Zhou et al., 2024b</xref>), and a capsule network with the attention mechanism (<xref ref-type="bibr" rid="B94">Zhang et al., 2023</xref>). In particular, to identify new LDAs, a few models first extracted LDA features and classified unknown lncRNA&#x2013;disease pairs (LDPs) by combining machine leaning models. SDLDA (<xref ref-type="bibr" rid="B89">Zeng et al., 2020</xref>) effectively integrated deep learning and singular value decomposition (SVD), LDASR (<xref ref-type="bibr" rid="B20">Guo et al., 2019</xref>) combined autoencoder and rotating forest, LDNFSGB (<xref ref-type="bibr" rid="B93">Zhang et al., 2020</xref>) used autoencoder and the gradient boosting model, IPCARF (<xref ref-type="bibr" rid="B98">Zhu et al., 2021</xref>) applied the incremental principal component analysis and random forest, CapsNet-LDA (<xref ref-type="bibr" rid="B94">Zhang et al., 2023</xref>) utilized stacked autoencoder and attention mechanism, and LDAEXC (<xref ref-type="bibr" rid="B43">Lu and Xie, 2023</xref>) integrated deep autoencoder and XGBoost. Machine learning-based methods boosted LDA prediction, but they neglect noisy and irrelevant data.</p>
<p>To boost the LDA prediction performance, here, we developed LDA-SABC, a novel boosting-based framework for LDA prediction. LDA-SABC extracts LDA features based on SVD and classifies LDPs by integrating LightGBM (<xref ref-type="bibr" rid="B68">Wang et al., 2023</xref>) and AdaBoost combined with the convolutional neural network (AdaBoost-CNN) (<xref ref-type="bibr" rid="B64">Taherkhani et al., 2020</xref>; <xref ref-type="bibr" rid="B57">Peng et al., 2023c</xref>). The LDA-SABC performance was evaluated under fivefold cross validations (CVs) on lncRNAs, diseases, and LDPs. This approach accurately found a few potential lncRNAs for lung cancer. LDA-SABC is publicly available at <ext-link ext-link-type="uri" xlink:href="https://github.com/plhhnu/LDA-SABC">https://github.com/plhhnu/LDA-SABC</ext-link>.</p>
</sec>
<sec sec-type="materials|methods" id="s2">
<title>2 Materials and methods</title>
<sec id="s2-1">
<title>2.1 Overview of LDA-SABC</title>
<p>LDA-SABC contains two main steps: 1) LDA feature extraction: the LDP linear features are extracted through SVD. 2) LDA classification: the association probability of each LDP is computed by integrating AdaBoost-CNN and LightGBM. The details are shown in <xref ref-type="fig" rid="F1">Figure 1</xref>.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Flowchart of the LDA prediction model LDA-SABC: (i) LDA feature extraction. (ii) LDA classification.</p>
</caption>
<graphic xlink:href="fgene-15-1356205-g001.tif"/>
</fig>
</sec>
<sec id="s2-2">
<title>2.2 Data preparation</title>
<p>LDA-SABC was evaluated on two human LDA datasets (<xref ref-type="bibr" rid="B51">Peng et al., 2024a</xref>), namely, LncRNADisease (<xref ref-type="bibr" rid="B4">Chen et al., 2012</xref>) and MNDR (<xref ref-type="bibr" rid="B15">Cui et al., 2018</xref>). After deleting diseases without regular names or MeSH data and lncRNAs without sequence data, the number of lncRNAs, one of the diseases, and one of the LDAs in two LDA datasets are listed in <xref ref-type="table" rid="T1">Table 1</xref>. Subsequently, an LDA network containing <italic>n</italic> lncRNAs and <italic>m</italic> diseases is denoted as <inline-formula id="inf1">
<mml:math id="m1">
<mml:mi mathvariant="bold-italic">Y</mml:mi>
<mml:mo>&#x2208;</mml:mo>
<mml:msup>
<mml:mrow>
<mml:mi mathvariant="double-struck">R</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>n</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>m</mml:mi>
</mml:mrow>
</mml:msup>
</mml:math>
</inline-formula>, where <italic>y</italic>
<sub>
<italic>ij</italic>
</sub> &#x3d; 1 if lncRNA <italic>l</italic>
<sub>
<italic>i</italic>
</sub> is associated with disease <italic>d</italic>
<sub>
<italic>j</italic>
</sub>, otherwise <italic>y</italic>
<sub>
<italic>ij</italic>
</sub> &#x3d; 0.</p>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Introduction of two LDA datasets.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Dataset</th>
<th align="center">lncRNA</th>
<th align="center">Disease</th>
<th align="center">LDA</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">LncRNADisease</td>
<td align="center">82</td>
<td align="center">157</td>
<td align="center">605</td>
</tr>
<tr>
<td align="center">MNDR</td>
<td align="center">89</td>
<td align="center">190</td>
<td align="center">1,529</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s2-3">
<title>2.3 LDA feature extraction</title>
<p>SVD (<xref ref-type="bibr" rid="B1">Abdi, 2007</xref>) can effectively extract features by eigen decomposition. By selecting larger singular values, SVD can reduce the dimensionality of the data and remove features that contribute less to data variability, thereby reducing the storage and calculation costs of the data. In addition, the feature vectors corresponding to smaller singular values represent noise or redundant parts in the data. By selecting larger singular values, SVD can retain the main linear features, thereby removing noise and redundant information. Furthermore, the size of singular values represents important features in the data, and SVD helps us understand the structure and variation patterns of the data by observing the size of singular values and their corresponding feature vectors. Thus, SVD is used to extract lncRNA and disease features: the LDA matrix <inline-formula id="inf2">
<mml:math id="m2">
<mml:mi mathvariant="bold-italic">Y</mml:mi>
<mml:mo>&#x2208;</mml:mo>
<mml:msup>
<mml:mrow>
<mml:mi mathvariant="double-struck">R</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>n</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>m</mml:mi>
</mml:mrow>
</mml:msup>
</mml:math>
</inline-formula> is factorized using Eq. <xref ref-type="disp-formula" rid="e1">1</xref>:<disp-formula id="e1">
<mml:math id="m3">
<mml:mi mathvariant="bold-italic">Y</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mi mathvariant="bold-italic">U</mml:mi>
<mml:mstyle displaystyle="true">
<mml:mo>&#x2211;</mml:mo>
</mml:mstyle>
<mml:msup>
<mml:mrow>
<mml:mi mathvariant="bold-italic">V</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>T</mml:mi>
</mml:mrow>
</mml:msup>
<mml:mo>,</mml:mo>
</mml:math>
<label>(1)</label>
</disp-formula>where <bold>
<italic>V</italic>
</bold>
<sup>
<italic>T</italic>
</sup> represents the transpose of <bold>
<italic>V</italic>
</bold>, <bold>
<italic>U</italic>
</bold> &#x2208; <italic>R</italic>
<sup>
<italic>n</italic>&#xd7;<italic>n</italic>
</sup> and <bold>
<italic>V</italic>
</bold> &#x2208; <italic>R</italic>
<sup>
<italic>m</italic>&#xd7;<italic>m</italic>
</sup> are two real matrices, and &#x3a3; denotes a diagonal matrix composed of <italic>n</italic> singular values.</p>
<p>Subsequently, the <italic>e</italic> largest singular values are selected to build an approximation representation using Eq. <xref ref-type="disp-formula" rid="e2">2</xref>:<disp-formula id="e2">
<mml:math id="m4">
<mml:mi mathvariant="bold-italic">R</mml:mi>
<mml:mo>&#x2248;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="bold-italic">U</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mstyle displaystyle="true">
<mml:msub>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mstyle>
<mml:mspace width="0.17em"/>
<mml:msup>
<mml:mrow>
<mml:mfenced open="(" close=")">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="bold-italic">V</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mrow>
<mml:mi>T</mml:mi>
</mml:mrow>
</mml:msup>
<mml:mo>.</mml:mo>
</mml:math>
<label>(2)</label>
</disp-formula>Consequently, <bold>
<italic>U</italic>
</bold>
<sub>
<italic>i</italic>
</sub> and <inline-formula id="inf3">
<mml:math id="m5">
<mml:msup>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="bold-italic">V</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:mi>T</mml:mi>
</mml:mrow>
</mml:msup>
</mml:math>
</inline-formula> denote the features of the <italic>i</italic>th lncRNA <italic>l</italic>
<sub>
<italic>i</italic>
</sub> and the <italic>j</italic>th disease <italic>d</italic>
<sub>
<italic>j</italic>
</sub>, respectively.</p>
<p>As a result, the features of each lncRNA can be represented as an <italic>a</italic>-dimensional vector, and the features of each disease can be represented as a <italic>b</italic>-dimensional vector. The two features are concatenated as a <italic>d</italic> (<italic>d</italic> &#x3d; <italic>a</italic> &#x2b; <italic>b</italic>)-dimensional vector for characterizing each LDP.</p>
</sec>
<sec id="s2-4">
<title>2.4 LDA prediction</title>
<p>For an LDA dataset <inline-formula id="inf4">
<mml:math id="m6">
<mml:mi>D</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mi mathvariant="bold-italic">X</mml:mi>
<mml:mo>,</mml:mo>
<mml:mrow>
<mml:mover accent="true">
<mml:mrow>
<mml:mi mathvariant="bold-italic">Y</mml:mi>
</mml:mrow>
<mml:mo stretchy="false">&#x302;</mml:mo>
</mml:mover>
</mml:mrow>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula>, with <italic>p</italic> (<italic>p</italic> &#x3d; <italic>n</italic> &#xd7; <italic>m</italic>) samples (i.e., <italic>p</italic> LDPs), let <bold>
<italic>x</italic>
</bold>
<sub>
<italic>i</italic>
</sub> &#x2208; <bold>
<italic>X</italic>
</bold> denote the <italic>i</italic>th LDP with <italic>d</italic>-dimensional features, and <inline-formula id="inf5">
<mml:math id="m7">
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="bold-italic">y</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2208;</mml:mo>
<mml:mrow>
<mml:mover accent="true">
<mml:mrow>
<mml:mi mathvariant="bold-italic">Y</mml:mi>
</mml:mrow>
<mml:mo stretchy="false">&#x302;</mml:mo>
</mml:mover>
</mml:mrow>
</mml:math>
</inline-formula> denotes its label.</p>
<sec id="s2-4-1">
<title>2.4.1 LDA-AdaBoost-CNN</title>
<p>Inspired by AdaBoost-CNN proposed by <xref ref-type="bibr" rid="B22">Hastie et al. (2009)</xref> and <xref ref-type="bibr" rid="B64">Taherkhani et al. (2020)</xref>, we exploit an LDA identification algorithm LDA-AdaBoost-CNN by integrating AdaBoost and CNNs based on transfer learning. Given <italic>Q</italic> CNNs, LDA-AdaBoost-CNN uses CNNs as base estimators for predicting LDAs. During training, we use a vector <bold>
<italic>D</italic>
</bold> with initial values <inline-formula id="inf6">
<mml:math id="m8">
<mml:mfrac>
<mml:mrow>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mi>p</mml:mi>
</mml:mrow>
</mml:mfrac>
</mml:math>
</inline-formula> to measure the importance of each sample. Next, the weights of all training samples are updated and normalized. Finally, LDA-AdaBoost-CNN outputs a binary vector <inline-formula id="inf7">
<mml:math id="m9">
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="bold-italic">o</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>l</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>k</mml:mi>
</mml:mrow>
</mml:msubsup>
<mml:mfenced open="(" close=")">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="bold-italic">x</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:math>
</inline-formula> with the last CNN to identify one LDP as LDA (<italic>k</italic> &#x3d; 1) or non-LDA (<italic>k</italic> &#x3d; 2).</p>
<p>For the <italic>i</italic>th feature map in the <italic>l</italic>th layer <inline-formula id="inf8">
<mml:math id="m10">
<mml:msubsup>
<mml:mrow>
<mml:mi>y</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>l</mml:mi>
</mml:mrow>
</mml:msubsup>
</mml:math>
</inline-formula>, its activity is computed using Eq. <xref ref-type="disp-formula" rid="e3">3</xref>:<disp-formula id="e3">
<mml:math id="m11">
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="bold-italic">y</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>l</mml:mi>
</mml:mrow>
</mml:msubsup>
<mml:mo>&#x3d;</mml:mo>
<mml:mstyle displaystyle="true">
<mml:munder>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:munder>
</mml:mstyle>
<mml:mi>f</mml:mi>
<mml:mfenced open="(" close=")">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="bold-italic">w</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>j</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>l</mml:mi>
</mml:mrow>
</mml:msubsup>
<mml:mo>&#x2a;</mml:mo>
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="bold-italic">y</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>j</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>l</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msubsup>
<mml:mo>&#x2b;</mml:mo>
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="bold-italic">b</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>l</mml:mi>
</mml:mrow>
</mml:msubsup>
</mml:mrow>
</mml:mfenced>
<mml:mo>,</mml:mo>
</mml:math>
<label>(3)</label>
</disp-formula>where <inline-formula id="inf9">
<mml:math id="m12">
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="bold-italic">w</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>j</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>l</mml:mi>
</mml:mrow>
</mml:msubsup>
</mml:math>
</inline-formula> represents the weight of a convolutional kernel, which maps the <italic>j</italic>th feature at the <inline-formula id="inf10">
<mml:math id="m13">
<mml:mfenced open="(" close=")">
<mml:mrow>
<mml:mi>l</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:mfenced>
</mml:math>
</inline-formula>th CNN layer to the <italic>i</italic>th feature at the <italic>l</italic>th CNN layer, and <inline-formula id="inf11">
<mml:math id="m14">
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="bold-italic">b</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>l</mml:mi>
</mml:mrow>
</mml:msubsup>
</mml:math>
</inline-formula> is the bias of the <italic>i</italic>th feature in the <italic>l</italic>th layer. Finally, the output <bold>
<italic>F</italic>
</bold>
<sup>
<italic>l</italic>
</sup> at the <italic>l</italic>th hidden layer is computed using Eq. <xref ref-type="disp-formula" rid="e4">4</xref>:<disp-formula id="e4">
<mml:math id="m15">
<mml:msup>
<mml:mrow>
<mml:mi mathvariant="bold-italic">F</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>l</mml:mi>
</mml:mrow>
</mml:msup>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>f</mml:mi>
<mml:mfenced open="(" close=")">
<mml:mrow>
<mml:msup>
<mml:mrow>
<mml:mi mathvariant="bold-italic">W</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>l</mml:mi>
</mml:mrow>
</mml:msup>
<mml:msup>
<mml:mrow>
<mml:mfenced open="(" close=")">
<mml:mrow>
<mml:msup>
<mml:mrow>
<mml:mi mathvariant="bold-italic">F</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>l</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mrow>
<mml:mi>T</mml:mi>
</mml:mrow>
</mml:msup>
<mml:mo>&#x2b;</mml:mo>
<mml:msup>
<mml:mrow>
<mml:mi mathvariant="bold-italic">b</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>l</mml:mi>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:mfenced>
<mml:mo>,</mml:mo>
</mml:math>
<label>(4)</label>
</disp-formula>where <inline-formula id="inf12">
<mml:math id="m16">
<mml:mi>f</mml:mi>
<mml:mfenced open="(" close=")">
<mml:mrow>
<mml:mo>&#x22c5;</mml:mo>
</mml:mrow>
</mml:mfenced>
</mml:math>
</inline-formula> denotes a non-linear function. Consequently, the probability distribution matrix <bold>
<italic>Z</italic>
</bold> of all LDPs is computed via a softmax function using Eq. <xref ref-type="disp-formula" rid="e5">5</xref>:<disp-formula id="e5">
<mml:math id="m17">
<mml:mi mathvariant="bold-italic">Z</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mi mathvariant="normal">s</mml:mi>
<mml:mi mathvariant="normal">o</mml:mi>
<mml:mi mathvariant="normal">f</mml:mi>
<mml:mi mathvariant="normal">t</mml:mi>
<mml:mi mathvariant="normal">m</mml:mi>
<mml:mi mathvariant="normal">a</mml:mi>
<mml:mi mathvariant="normal">x</mml:mi>
<mml:mfenced open="(" close=")">
<mml:mrow>
<mml:msup>
<mml:mrow>
<mml:mi mathvariant="bold-italic">W</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>o</mml:mi>
</mml:mrow>
</mml:msup>
<mml:msup>
<mml:mrow>
<mml:mfenced open="(" close=")">
<mml:mrow>
<mml:msup>
<mml:mrow>
<mml:mi mathvariant="bold-italic">F</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>L</mml:mi>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mrow>
<mml:mi>T</mml:mi>
</mml:mrow>
</mml:msup>
<mml:mo>&#x2b;</mml:mo>
<mml:msup>
<mml:mrow>
<mml:mi mathvariant="bold-italic">b</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>o</mml:mi>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:mfenced>
<mml:mo>,</mml:mo>
</mml:math>
<label>(5)</label>
</disp-formula>where <bold>
<italic>W</italic>
</bold>
<sup>
<italic>o</italic>
</sup> denotes a weight matrix linking the last hidden layer with the output layer, <bold>
<italic>b</italic>
</bold>
<sup>
<italic>o</italic>
</sup> indicates the bias, and <bold>
<italic>F</italic>
</bold>
<sup>
<italic>L</italic>
</sup> represents the output at the last hidden layer.</p>
<p>For the <italic>i</italic>th sample <bold>
<italic>x</italic>
</bold>
<sub>
<italic>i</italic>
</sub>, after training <italic>Q</italic> CNNs, its output is computed based on its output <inline-formula id="inf13">
<mml:math id="m18">
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="bold-italic">o</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>q</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>k</mml:mi>
</mml:mrow>
</mml:msubsup>
<mml:mfenced open="(" close=")">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="bold-italic">x</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfenced>
<mml:mspace width="0.17em"/>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mi>k</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1,2</mml:mn>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> in the <italic>q</italic>th CNN using Eq. <xref ref-type="disp-formula" rid="e6">6</xref>:<disp-formula id="e6">
<mml:math id="m19">
<mml:mi>C</mml:mi>
<mml:mfenced open="(" close=")">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="bold-italic">x</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfenced>
<mml:mo>&#x3d;</mml:mo>
<mml:munder>
<mml:mrow>
<mml:mi mathvariant="normal">a</mml:mi>
<mml:mi mathvariant="normal">r</mml:mi>
<mml:mi mathvariant="normal">g</mml:mi>
<mml:mi mathvariant="normal">m</mml:mi>
<mml:mi mathvariant="normal">a</mml:mi>
<mml:mi mathvariant="normal">x</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>k</mml:mi>
</mml:mrow>
</mml:munder>
<mml:mstyle displaystyle="true">
<mml:munderover>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>q</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mi>Q</mml:mi>
</mml:mrow>
</mml:munderover>
</mml:mstyle>
<mml:msubsup>
<mml:mrow>
<mml:mi>c</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>k</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>q</mml:mi>
</mml:mrow>
</mml:msubsup>
<mml:mfenced open="(" close=")">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="bold-italic">x</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfenced>
<mml:mo>,</mml:mo>
</mml:math>
<label>(6)</label>
</disp-formula>where<disp-formula id="e7">
<mml:math id="m20">
<mml:msubsup>
<mml:mrow>
<mml:mi>c</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>k</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>q</mml:mi>
</mml:mrow>
</mml:msubsup>
<mml:mfenced open="(" close=")">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="bold-italic">x</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfenced>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>log</mml:mi>
<mml:mfenced open="(" close=")">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="bold-italic">o</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>k</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>q</mml:mi>
</mml:mrow>
</mml:msubsup>
<mml:mfenced open="(" close=")">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="bold-italic">x</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mfenced>
<mml:mo>&#x2212;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:mfrac>
<mml:mstyle displaystyle="true">
<mml:munderover>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:msup>
<mml:mrow>
<mml:mi>k</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2032;</mml:mo>
</mml:mrow>
</mml:msup>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:munderover>
</mml:mstyle>
<mml:mi>log</mml:mi>
<mml:mfenced open="(" close=")">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="bold-italic">o</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:msup>
<mml:mrow>
<mml:mi>k</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2032;</mml:mo>
</mml:mrow>
</mml:msup>
</mml:mrow>
<mml:mrow>
<mml:mi>q</mml:mi>
</mml:mrow>
</mml:msubsup>
<mml:mfenced open="(" close=")">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="bold-italic">x</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mfenced>
<mml:mo>.</mml:mo>
</mml:math>
<label>(7)</label>
</disp-formula>
</p>
</sec>
<sec id="s2-4-2">
<title>2.4.2 LDA-LightGBM</title>
<p>LightGBM is a gradient-based model. It uses two powerful techniques to acquire the optimal split node and accurately classify unknown samples: one-side sampling and exclusive feature bundling. Here, inspired by LightGBM (<xref ref-type="bibr" rid="B30">Ke et al., 2017</xref>), we propose a LightGBM-based LDA inference algorithm LDA-LightGBM. First, gradients of all LDPs in the training set are computed, and the <italic>a%</italic> LDPs with the smallest gradients are taken as <italic>A</italic>. Next, a sample set <italic>B</italic> is constructed by randomly selecting <italic>b</italic> &#xd7;&#x7c;<italic>A</italic>
<sup>
<italic>r</italic>
</sup>&#x7c; samples from the remaining LDPs <italic>A</italic>
<sup>
<italic>r</italic>
</sup>. Finally, all LDPs are split on the node <italic>p</italic>
<sub>
<italic>d</italic>
</sub> according to information gain <italic>I</italic>
<sub>
<italic>j</italic>
</sub> (<italic>p</italic>
<sub>
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</sub>) on <italic>A</italic> &#x222a; <italic>B</italic> using Eq. <xref ref-type="disp-formula" rid="e8">8</xref>:<disp-formula id="e8">
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<label>(8)</label>
</disp-formula>where <italic>A</italic>
<sub>
<italic>l</italic>
</sub> &#x3d; {<italic>x</italic>
<sub>
<italic>i</italic>
</sub> &#x2208; <italic>A</italic>: <italic>x</italic>
<sub>
<italic>ij</italic>
</sub> &#x2264; <italic>p</italic>
<sub>
<italic>d</italic>
</sub>}, <italic>A</italic>
<sub>
<italic>r</italic>
</sub> &#x3d; {<italic>x</italic>
<sub>
<italic>i</italic>
</sub> &#x2208; <italic>A</italic>: <italic>x</italic>
<sub>
<italic>ij</italic>
</sub> &#x3e; <italic>p</italic>
<sub>
<italic>d</italic>
</sub>}, <italic>B</italic>
<sub>
<italic>l</italic>
</sub> &#x3d; {<italic>x</italic>
<sub>
<italic>i</italic>
</sub> &#x2208; <italic>B</italic>: <italic>x</italic>
<sub>
<italic>ij</italic>
</sub> &#x2264; <italic>p</italic>
<sub>
<italic>d</italic>
</sub>}, <italic>B</italic>
<sub>
<italic>r</italic>
</sub> &#x3d; {<italic>x</italic>
<sub>
<italic>i</italic>
</sub> &#x2208; <italic>B</italic>: <italic>x</italic>
<sub>
<italic>ij</italic>
</sub> &#x3e; <italic>p</italic>
<sub>
<italic>d</italic>
</sub>}, and <italic>g</italic>
<sub>
<italic>i</italic>
</sub> represents the negative gradient.</p>
<p>However, LDA features have high dimensions and multiple zero values, that is, the features cannot simultaneously have nonzero values. To solve this problem, LRI-LightGBM first uses weights to characterize the whole conflict between all LDA features and construct a weighted graph. Subsequently, all LDA features are sorted and are set to a defined bundle or create a new bundle. Finally, all LDPs are classified using Eq. <xref ref-type="disp-formula" rid="e9">9</xref>:<disp-formula id="e9">
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</disp-formula>where <italic>T</italic>
<sub>
<italic>q</italic>
</sub> is the maximum iteration number and <inline-formula id="inf14">
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</inline-formula> is the <italic>q</italic>th basic decision tree.</p>
</sec>
<sec id="s2-4-3">
<title>2.4.3 Ensemble learning</title>
<p>Ensemble learning exhibits strong classification performance compared to individual classifiers. Thus, we combined LDA-AdaBoost-CNN and LDA-LightGBM for LDA identification. For one LDP <bold>
<italic>x</italic>
</bold>
<sub>
<italic>i</italic>
</sub>, let <italic>C</italic>(<bold>
<italic>x</italic>
</bold>
<sub>
<italic>i</italic>
</sub>) and <italic>F</italic>(<bold>
<italic>x</italic>
</bold>
<sub>
<italic>i</italic>
</sub>) represent its association scores computed by LDA-AdaBoost-CNN and LDA-LightGBM, respectively; its final association probability <italic>p</italic>(<bold>
<italic>x</italic>
</bold>
<sub>
<italic>i</italic>
</sub>) is obtained Eq. <xref ref-type="disp-formula" rid="e10">10</xref>:<disp-formula id="e10">
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<label>(10)</label>
</disp-formula>where <italic>&#x3b1;</italic> and <italic>&#x3b2;</italic>(<italic>&#x3b2;</italic> &#x3d; 1 &#x2212; <italic>&#x3b1;</italic>) are used to evaluate the importance of LDA-AdaBoost-CNN and LDA-LightGBM with respect to the LDA inference performance, respectively.</p>
</sec>
</sec>
</sec>
<sec sec-type="results" id="s3">
<title>3 Results</title>
<sec id="s3-1">
<title>3.1 Experimental settings</title>
<p>To assess the LDA inference performance of LDA-SABC, we implemented three fivefold CVs to compare it with four representative LDA prediction approaches, namely, SDLDA (<xref ref-type="bibr" rid="B89">Zeng et al., 2020</xref>), LDNFSGB (<xref ref-type="bibr" rid="B93">Zhang et al., 2020</xref>), IPCARF (<xref ref-type="bibr" rid="B98">Zhu et al., 2021</xref>), and LDASR (<xref ref-type="bibr" rid="B20">Guo et al., 2019</xref>). The parameters in the above four methods were derived from their corresponding literatures. For the LDA-SABC model, we set n_estimators, learning rate, and epochs to 100, 0.1, and 10, respectively, in LDA-AdaBoost-CNN and n_estimators and learning rate to 100 and 0.1, respectively, in LRI-LightGBM. The dimension <italic>d</italic> of an LDA feature vector was set to 64.</p>
</sec>
<sec id="s3-2">
<title>3.2 Comparison with four classical LDA prediction methods</title>
<p>We used six evaluation metrics (precision, recall, accuracy, F1 score, AUC, and AUPR (<xref ref-type="bibr" rid="B61">Shen et al., 2022</xref>; <xref ref-type="bibr" rid="B39">Liu et al., 2023</xref>; <xref ref-type="bibr" rid="B59">Qiu et al., 2023a</xref>)) to assess the performance of LDA-SABC and four other LDA prediction algorithms (SDLDA, LDNFSGB, IPCARF, and LDASR) under three different fivefold cross validations. The three CVs are fivefold CV on lncRNAs (<italic>CV</italic>
<sub>
<italic>l</italic>
</sub>), five-fold CV on diseases (<italic>CV</italic>
<sub>
<italic>d</italic>
</sub>), and fivefold CV on LDPs (<italic>CV</italic>
<sub>
<italic>ld</italic>
</sub>). The details refer to <xref ref-type="bibr" rid="B51">Peng et al. (2024a)</xref>. <xref ref-type="table" rid="T2">Tables 2</xref>&#x2013;<xref ref-type="table" rid="T4">4</xref> depict the performance of LDA-SABC and four other methods on two databases (i.e., LncRNADisease and MNDR) under the three CVs. <xref ref-type="fig" rid="F2">Figure 2</xref> characterizes the corresponding ROC and precision&#x2013;recall (PR) curves.</p>
<table-wrap id="T2" position="float">
<label>TABLE 2</label>
<caption>
<p>Performance of five LDA inference methods under CV<sub>l</sub>.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center"/>
<th align="center">Dataset</th>
<th align="center">SDLDA</th>
<th align="center">LDNFSGB</th>
<th align="center">IPCARF</th>
<th align="center">LDASR</th>
<th align="center">LDA-SABC</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">Precision</td>
<td align="center">LncRNADisease</td>
<td align="center">0.8514 &#xb1; 0.0509</td>
<td align="center">0.7004 &#xb1; 0.0639</td>
<td align="center">0.4878 &#xb1; 0.1309</td>
<td align="center">0.6726 &#xb1; 0.1200</td>
<td align="center">
<bold>0.8980 &#xb1; 0.0306</bold>
</td>
</tr>
<tr>
<td align="left"/>
<td align="center">MNDR</td>
<td align="center">0.9399 &#xb1; 0.0154</td>
<td align="center">0.8552 &#xb1; 0.0393</td>
<td align="center">0.6615 &#xb1; 0.0966</td>
<td align="center">0.8405 &#xb1; 0.0300</td>
<td align="center">
<bold>0.9494 &#xb1; 0.0172</bold>
</td>
</tr>
<tr>
<td align="center">Recall</td>
<td align="center">LncRNADisease</td>
<td align="center">0.6521 &#xb1; 0.0732</td>
<td align="center">0.6092 &#xb1; 0.0790</td>
<td align="center">0.5721 &#xb1; 0.1580</td>
<td align="center">0.5129 &#xb1; 0.0946</td>
<td align="center">
<bold>0.7709 &#xb1; 0.0622</bold>
</td>
</tr>
<tr>
<td align="left"/>
<td align="center">MNDR</td>
<td align="center">0.8239 &#xb1; 0.0437</td>
<td align="center">0.8021 &#xb1; 0.0498</td>
<td align="center">0.6434 &#xb1; 0.1545</td>
<td align="center">0.7358 &#xb1; 0.0562</td>
<td align="center">
<bold>0.8436 &#xb1; 0.0513</bold>
</td>
</tr>
<tr>
<td align="center">Accuracy</td>
<td align="center">LncRNADisease</td>
<td align="center">0.7799 &#xb1; 0.0341</td>
<td align="center">0.6769 &#xb1; 0.0423</td>
<td align="center">0.4906 &#xb1; 0.0951</td>
<td align="center">0.6417 &#xb1; 0.0597</td>
<td align="center">
<bold>0.8444 &#xb1; 0.0445</bold>
</td>
</tr>
<tr>
<td align="left"/>
<td align="center">MNDR</td>
<td align="center">0.8857 &#xb1; 0.0283</td>
<td align="center">0.8323 &#xb1; 0.0230</td>
<td align="center">0.6526 &#xb1; 0.0775</td>
<td align="center">0.7972 &#xb1; 0.0268</td>
<td align="center">
<bold>0.8989 &#xb1; 0.0317</bold>
</td>
</tr>
<tr>
<td align="center">F1 score</td>
<td align="center">LncRNADisease</td>
<td align="center">0.7365 &#xb1; 0.0563</td>
<td align="center">0.6462 &#xb1; 0.0451</td>
<td align="center">0.5125 &#xb1; 0.1100</td>
<td align="center">0.5668 &#xb1; 0.0536</td>
<td align="center">
<bold>0.8278 &#xb1; 0.0363</bold>
</td>
</tr>
<tr>
<td align="left"/>
<td align="center">MNDR</td>
<td align="center">0.8775 &#xb1; 0.0278</td>
<td align="center">0.8260 &#xb1; 0.0230</td>
<td align="center">0.6401 &#xb1; 0.1017</td>
<td align="center">0.7827 &#xb1; 0.0260</td>
<td align="center">
<bold>0.8925 &#xb1; 0.0307</bold>
</td>
</tr>
<tr>
<td align="center">AUC</td>
<td align="center">LncRNADisease</td>
<td align="center">0.8023 &#xb1; 0.0477</td>
<td align="center">0.7346 &#xb1; 0.0465</td>
<td align="center">0.5096 &#xb1; 0.1432</td>
<td align="center">0.7057 &#xb1; 0.0420</td>
<td align="center">
<bold>0.9328 &#xb1; 0.0243</bold>
</td>
</tr>
<tr>
<td align="left"/>
<td align="center">MNDR</td>
<td align="center">0.9366 &#xb1; 0.0195</td>
<td align="center">0.8839 &#xb1; 0.0270</td>
<td align="center">0.7104 &#xb1; 0.0997</td>
<td align="center">0.8641 &#xb1; 0.0256</td>
<td align="center">
<bold>0.9675 &#xb1; 0.0147</bold>
</td>
</tr>
<tr>
<td align="center">AUPR</td>
<td align="center">LncRNADisease</td>
<td align="center">0.8461 &#xb1; 0.0553</td>
<td align="center">0.7239 &#xb1; 0.0626</td>
<td align="center">0.5336 &#xb1; 0.1423</td>
<td align="center">0.6775 &#xb1; 0.0971</td>
<td align="center">
<bold>0.9304 &#xb1; 0.0252</bold>
</td>
</tr>
<tr>
<td align="left"/>
<td align="center">MNDR</td>
<td align="center">0.9533 &#xb1; 0.0129</td>
<td align="center">0.8832 &#xb1; 0.0307</td>
<td align="center">0.7128 &#xb1; 0.1012</td>
<td align="center">0.8671 &#xb1; 0.0252</td>
<td align="center">
<bold>0.9709 &#xb1; 0.0106</bold>
</td>
</tr>
</tbody>
</table>
</table-wrap>
<table-wrap id="T3" position="float">
<label>TABLE 3</label>
<caption>
<p>Performance of five LDA inference methods under CV<sub>d</sub>.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center"/>
<th align="center">Dataset</th>
<th align="center">SDLDA</th>
<th align="center">LDNFSGB</th>
<th align="center">IPCARF</th>
<th align="center">LDASR</th>
<th align="center">LDA-SABC</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">Precision</td>
<td align="center">LncRNADisease</td>
<td align="center">0.8854 &#xb1; 0.0377</td>
<td align="center">0.7548 &#xb1; 0.0639</td>
<td align="center">0.5583 &#xb1; 0.0910</td>
<td align="center">0.7462 &#xb1; 0.0613</td>
<td align="center">
<bold>0.9218 &#xb1; 0.0242</bold>
</td>
</tr>
<tr>
<td align="left"/>
<td align="center">MNDR</td>
<td align="center">0.9232 &#xb1; 0.0331</td>
<td align="center">0.8005 &#xb1; 0.0625</td>
<td align="center">0.5557 &#xb1; 0.1473</td>
<td align="center">0.7625 &#xb1; 0.0749</td>
<td align="center">
<bold>0.9573 &#xb1; 0.0217</bold>
</td>
</tr>
<tr>
<td align="center">Recall</td>
<td align="center">LncRNADisease</td>
<td align="center">0.7182 &#xb1; 0.0694</td>
<td align="center">0.7309 &#xb1; 0.0646</td>
<td align="center">0.7538 &#xb1; 0.1067</td>
<td align="center">0.6431 &#xb1; 0.0757</td>
<td align="center">
<bold>0.8745 &#xb1; 0.0353</bold>
</td>
</tr>
<tr>
<td align="left"/>
<td align="center">MNDR</td>
<td align="center">0.8579 &#xb1; 0.0655</td>
<td align="center">0.6936 &#xb1; 0.0794</td>
<td align="center">0.5279 &#xb1; 0.1969</td>
<td align="center">0.5758 &#xb1; 0.0894</td>
<td align="center">
<bold>0.9231 &#xb1; 0.0400</bold>
</td>
</tr>
<tr>
<td align="center">Accuracy</td>
<td align="center">LncRNADisease</td>
<td align="center">0.8187 &#xb1; 0.0282</td>
<td align="center">0.7552 &#xb1; 0.0291</td>
<td align="center">0.5766 &#xb1; 0.0740</td>
<td align="center">0.7165 &#xb1; 0.0339</td>
<td align="center">
<bold>0.9008 &#xb1; 0.0232</bold>
</td>
</tr>
<tr>
<td align="left"/>
<td align="center">MNDR</td>
<td align="center">0.9043 &#xb1; 0.0174</td>
<td align="center">0.7670 &#xb1; 0.0432</td>
<td align="center">0.5593 &#xb1; 0.1159</td>
<td align="center">0.7010 &#xb1; 0.0463</td>
<td align="center">
<bold>0.9455 &#xb1; 0.0146</bold>
</td>
</tr>
<tr>
<td align="center">F1 score</td>
<td align="center">LncRNADisease</td>
<td align="center">0.7917 &#xb1; 0.0519</td>
<td align="center">0.7407 &#xb1; 0.0526</td>
<td align="center">0.6339 &#xb1; 0.0715</td>
<td align="center">0.6873 &#xb1; 0.0512</td>
<td align="center">
<bold>0.8970 &#xb1; 0.0218</bold>
</td>
</tr>
<tr>
<td align="left"/>
<td align="center">MNDR</td>
<td align="center">0.8886 &#xb1; 0.0475</td>
<td align="center">0.7402 &#xb1; 0.0577</td>
<td align="center">0.5190 &#xb1; 0.1434</td>
<td align="center">0.6485 &#xb1; 0.0555</td>
<td align="center">
<bold>0.9394 &#xb1; 0.0260</bold>
</td>
</tr>
<tr>
<td align="center">AUC</td>
<td align="center">LncRNADisease</td>
<td align="center">0.8788 &#xb1; 0.0274</td>
<td align="center">0.8329 &#xb1; 0.0273</td>
<td align="center">0.6402 &#xb1; 0.1004</td>
<td align="center">0.7951 &#xb1; 0.0317</td>
<td align="center">
<bold>0.9630 &#xb1; 0.0122</bold>
</td>
</tr>
<tr>
<td align="left"/>
<td align="center">MNDR</td>
<td align="center">0.9559 &#xb1; 0.0160</td>
<td align="center">0.8603 &#xb1; 0.0363</td>
<td align="center">0.5992 &#xb1; 0.1601</td>
<td align="center">0.8045 &#xb1; 0.0362</td>
<td align="center">
<bold>0.9860 &#xb1; 0.0057</bold>
</td>
</tr>
<tr>
<td align="center">AUPR</td>
<td align="center">LncRNADisease</td>
<td align="center">0.8934 &#xb1; 0.0387</td>
<td align="center">0.8163 &#xb1; 0.0537</td>
<td align="center">0.6355 &#xb1; 0.1217</td>
<td align="center">0.7914 &#xb1; 0.0542</td>
<td align="center">
<bold>0.9605 &#xb1; 0.0130</bold>
</td>
</tr>
<tr>
<td align="left"/>
<td align="center">MNDR</td>
<td align="center">0.9561 &#xb1; 0.0354</td>
<td align="center">0.8292 &#xb1; 0.0680</td>
<td align="center">0.6040 &#xb1; 0.1476</td>
<td align="center">0.7630 &#xb1; 0.0717</td>
<td align="center">
<bold>0.9836 &#xb1; 0.0101</bold>
</td>
</tr>
</tbody>
</table>
</table-wrap>
<table-wrap id="T4" position="float">
<label>TABLE 4</label>
<caption>
<p>Performance of five LDA inference methods under CV<sub>ld</sub>.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center"/>
<th align="center">Dataset</th>
<th align="center">SDLDA</th>
<th align="center">LDNFSGB</th>
<th align="center">IPCARF</th>
<th align="center">LDASR</th>
<th align="center">LDA-SABC</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">Precision</td>
<td align="center">LncRNADisease</td>
<td align="center">0.8782 &#xb1; 0.0306</td>
<td align="center">0.7782 &#xb1; 0.0270</td>
<td align="center">0.7069 &#xb1; 0.0478</td>
<td align="center">0.7695 &#xb1; 0.0393</td>
<td align="center">
<bold>0.9052 &#xb1; 0.0241</bold>
</td>
</tr>
<tr>
<td align="left"/>
<td align="center">MNDR</td>
<td align="center">0.9178 &#xb1; 0.0154</td>
<td align="center">0.8548 &#xb1; 0.0156</td>
<td align="center">0.7693 &#xb1; 0.0850</td>
<td align="center">0.8553 &#xb1; 0.0189</td>
<td align="center">
<bold>0.9525 &#xb1; 0.0153</bold>
</td>
</tr>
<tr>
<td align="center">Recall</td>
<td align="center">LncRNADisease</td>
<td align="center">0.7256 &#xb1; 0.0376</td>
<td align="center">0.8169 &#xb1; 0.0408</td>
<td align="center">0.6155 &#xb1; 0.0652</td>
<td align="center">0.6836 &#xb1; 0.0342</td>
<td align="center">
<bold>0.9074 &#xb1; 0.0329</bold>
</td>
</tr>
<tr>
<td align="left"/>
<td align="center">MNDR</td>
<td align="center">0.8824 &#xb1; 0.0198</td>
<td align="center">0.8818 &#xb1; 0.0204</td>
<td align="center">0.5034 &#xb1; 0.1469</td>
<td align="center">0.8204 &#xb1; 0.0238</td>
<td align="center">
<bold>0.9459 &#xb1; 0.0131</bold>
</td>
</tr>
<tr>
<td align="center">Accuracy</td>
<td align="center">LncRNADisease</td>
<td align="center">0.8120 &#xb1; 0.0216</td>
<td align="center">0.7916 &#xb1; 0.0256</td>
<td align="center">0.6793 &#xb1; 0.0403</td>
<td align="center">0.7385 &#xb1; 0.0283</td>
<td align="center">
<bold>0.9058 &#xb1; 0.0183</bold>
</td>
</tr>
<tr>
<td align="left"/>
<td align="center">MNDR</td>
<td align="center">0.9015 &#xb1; 0.0114</td>
<td align="center">0.8658 &#xb1; 0.0127</td>
<td align="center">0.6793 &#xb1; 0.0753</td>
<td align="center">0.8405 &#xb1; 0.0129</td>
<td align="center">
<bold>0.9493 &#xb1; 0.0109</bold>
</td>
</tr>
<tr>
<td align="center">F1 score</td>
<td align="center">LncRNADisease</td>
<td align="center">0.7939 &#xb1; 0.0260</td>
<td align="center">0.7965 &#xb1; 0.0262</td>
<td align="center">0.6563 &#xb1; 0.0492</td>
<td align="center">0.7233 &#xb1; 0.0289</td>
<td align="center">
<bold>0.9058 &#xb1; 0.0190</bold>
</td>
</tr>
<tr>
<td align="left"/>
<td align="center">MNDR</td>
<td align="center">0.8996 &#xb1; 0.0119</td>
<td align="center">0.8679 &#xb1; 0.0129</td>
<td align="center">0.5995 &#xb1; 0.1312</td>
<td align="center">0.8371 &#xb1; 0.0137</td>
<td align="center">
<bold>0.9491 &#xb1; 0.0108</bold>
</td>
</tr>
<tr>
<td align="center">AUC</td>
<td align="center">LncRNADisease</td>
<td align="center">0.8774 &#xb1; 0.0200</td>
<td align="center">0.8578 &#xb1; 0.0234</td>
<td align="center">0.7384 &#xb1; 0.0466</td>
<td align="center">0.8133 &#xb1; 0.0218</td>
<td align="center">
<bold>0.9628 &#xb1; 0.0132</bold>
</td>
</tr>
<tr>
<td align="left"/>
<td align="center">MNDR</td>
<td align="center">0.9560 &#xb1; 0.0081</td>
<td align="center">0.9346 &#xb1; 0.0074</td>
<td align="center">0.7680 &#xb1; 0.0882</td>
<td align="center">0.9143 &#xb1; 0.0112</td>
<td align="center">
<bold>0.9878 &#xb1; 0.0046</bold>
</td>
</tr>
<tr>
<td align="center">AUPR</td>
<td align="center">LncRNADisease</td>
<td align="center">0.8952 &#xb1; 0.0177</td>
<td align="center">0.8489 &#xb1; 0.0289</td>
<td align="center">0.7409 &#xb1; 0.0515</td>
<td align="center">0.8131 &#xb1; 0.0277</td>
<td align="center">
<bold>0.9606 &#xb1; 0.0150</bold>
</td>
</tr>
<tr>
<td align="left"/>
<td align="center">MNDR</td>
<td align="center">0.9639 &#xb1; 0.0063</td>
<td align="center">0.9273 &#xb1; 0.0098</td>
<td align="center">0.7689 &#xb1; 0.0924</td>
<td align="center">0.9100 &#xb1; 0.0136</td>
<td align="center">
<bold>0.9881 &#xb1; 0.0055</bold>
</td>
</tr>
</tbody>
</table>
</table-wrap>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>ROC and PR curves of LDA-SABC and four other methods: <bold>(A,B)</bold> ROC and PR curves on the LncRNADisease and MNDR databases under <italic>CV</italic>
<sub>
<italic>l</italic>
</sub>, respectively. <bold>(C,D)</bold> Curves under <italic>CV</italic>
<sub>
<italic>d</italic>
</sub>. <bold>(E,F)</bold> Curves under <italic>CV</italic>
<sub>
<italic>ld</italic>
</sub>.</p>
</caption>
<graphic xlink:href="fgene-15-1356205-g002.tif"/>
</fig>
<p>
<italic>CV</italic>
<sub>
<italic>l</italic>
</sub> was used to compare the performance of LDA-SABC with SDLDA, LDNFSGB, LDASR, and IPCAF when identifying diseases linking to a new lncRNA. Under <italic>CV</italic>
<sub>
<italic>l</italic>
</sub>, all five methods randomly selected 80% of lncRNAs as the training set and used the remaining as the test set. The results are listed in <xref ref-type="table" rid="T2">Table 2</xref> and <xref ref-type="fig" rid="F2">Figure 2</xref>. We found that LDA-SABC outperformed in terms of precision, recall, accuracy, F1 score, AUC, and AUPR compared with the four classical LDA prediction algorithms. For example, LDA-SABC obtained the highest AUC values of 0.9328 and 0.9675, outperforming by 13.05% and 3.09% compared to those of the second best algorithm, on the LncRNADisease and MNDR databases, respectively. It also calculated the highest AUPR values of 0.9304 and 0.9703, outperforming by 8.43% and 1.76% compared to those of the second best algorithm, respectively. These results imply that LDA-SABC could accurately capture the underlying diseases linking to a new lncRNA.</p>
<p>
<italic>CV</italic>
<sub>
<italic>d</italic>
</sub> was applied to compare the performance of LDA-SABC with SDLDA, LDNFSGB, LDASR, and IPCAF when identifying lncRNAs linking to a new disease. Under <italic>CV</italic>
<sub>
<italic>d</italic>
</sub>, all five methods randomly selected 80% of diseases as the training set and used the remaining as the test set. As demonstrated in <xref ref-type="table" rid="T3">Table 3</xref> and <xref ref-type="fig" rid="F2">Figure 2</xref>, LDA-SABC significantly surpassed four other algorithms on the two datasets. For example, LDA-SABC obtained the highest AUC values of 0.9630 and 0.9860, outperforming by 8.42% and 3.01% compared to those of the second best algorithm (i.e., SDLDA), on the LncRNADisease and MNDR databases, respectively. It also calculated the highest AUPR values of 0.9605 and 0.9836, outperforming by 6.71% and 2.75% compared to those of the second best algorithm (i.e., SDLDA), on the LncRNADisease and MNDR databases, respectively. These results suggest that LDA-SABC could accurately infer potential lncRNAs linking to a new disease.</p>
<p>
<italic>CV</italic>
<sub>
<italic>ld</italic>
</sub> is used to compare the performance of all five LDA inference methods when identifying new LDAs from unknown LDPs. Under <italic>CV</italic>
<sub>
<italic>ld</italic>
</sub>, all five methods randomly selected 80% of LDPs as the training set and used the remaining as the test set. As demonstrated in <xref ref-type="table" rid="T4">Table 4</xref> and <xref ref-type="fig" rid="F2">Figure 2</xref>, LDA-SABC significantly improved LDA prediction in comparison with the four other methods. For example, LDA-SABC achieved the highest AUC values of 0.9628 and 0.9878, outperforming by 8.54% and 3.18% compared to those of the second best algorithm (i.e., SDLDA), on the LncRNADisease and MNDR databases, respectively. It also calculated the highest AUPR values of 0.9606 and 0.9881, outperforming by 6.54% and 2.42% compared to those of the second best algorithm (i.e., SDLDA), on the LncRNADisease and MNDR databases, respectively. Thus, LDA-SABC could more accurately infer the underlying LDAs through known LDAs.</p>
</sec>
<sec id="s3-3">
<title>3.3 Ablation study</title>
<p>LDA-SABC combined AdaBoost-CNN and LightGBM for LDA prediction. In model Ensemble, <italic>&#x3b1;</italic> and <italic>&#x3b2;</italic> were used to evaluate the effects of LDA-AdaBoost-CNN and LDA-LightGBM on the LDA inference performance, respectively. As shown in <xref ref-type="fig" rid="F3">Figure 3</xref>, when <italic>&#x3b1;</italic> was set to 0, 0.2, 0.4, 0.6, 0.8, and 1, respectively, LDA-SABC achieved the best performance on the LncRNADisease and MNDR databases under fivefold CVs on lncRNAs, diseases, and LDPs. <xref ref-type="sec" rid="s10">Supplementary Tables S1&#x2013;S3</xref> show the detailed performance of LDA-SABC when <italic>&#x3b1;</italic> was set to the above six values, respectively. Thus, we set <italic>&#x3b1;</italic> and <italic>&#x3b2;</italic> to 0.4 and 0.6, respectively.</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>Effects of the parameters <italic>&#x3b1;</italic> and <italic>&#x3b2;</italic> on the LDA prediction performance: <bold>(A)</bold> performance of LDA-SABC based on <italic>&#x3b1;</italic> and <italic>&#x3b2;</italic> on LncRNADisease under <italic>CV</italic>
<sub>
<italic>l</italic>
</sub>, <italic>CV</italic>
<sub>
<italic>d</italic>
</sub>, and <italic>CV</italic>
<sub>
<italic>ld</italic>
</sub>, respectively. <bold>(B)</bold> Performance of LDA-SABC based on different <italic>&#x3b1;</italic> and <italic>&#x3b2;</italic> values on MNDR under <italic>CV</italic>
<sub>
<italic>l</italic>
</sub>, <italic>CV</italic>
<sub>
<italic>d</italic>
</sub>, and <italic>CV</italic>
<sub>
<italic>ld</italic>
</sub>, respectively.</p>
</caption>
<graphic xlink:href="fgene-15-1356205-g003.tif"/>
</fig>
<p>To better understand the performance of ensemble learning, we compared LDA-SABC with other boosting algorithms, i.e., AdaBoost-CNN, AdaBoost, and LightGBM, under three different CVs. The boosting algorithms used the same feature extraction procedures as LDA-SABC except for using different boosting models for classifying unknown LDPs. <xref ref-type="table" rid="T5">Tables 5</xref>&#x2013;<xref ref-type="table" rid="T7">7</xref> show their LDA prediction performance under fivefold CVs on lncRNAs, diseases, and LDPs, respectively. The results demonstrate that LDA-SABC computed the best LDA inference accuracy on the two LDA databases under the three CVs in most cases, thereby elucidating the powerful LDP classification performance of our proposed ensemble learning model with LightGBM and AdaBoost-CNN.</p>
<table-wrap id="T5" position="float">
<label>TABLE 5</label>
<caption>
<p>Performance of four boosting methods under CV<sub>l</sub>.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center"/>
<th align="center">Dataset</th>
<th align="center">AdaBoost-CNN</th>
<th align="center">AdaBoost</th>
<th align="center">LightGBM</th>
<th align="center">LDA-SABC</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">Precision</td>
<td align="center">LncRNADisease</td>
<td align="center">0.8412 &#xb1; 0.0584</td>
<td align="center">0.7641 &#xb1; 0.0536</td>
<td align="center">0.8836 &#xb1; 0.0354</td>
<td align="center">
<bold>0.8980 &#xb1; 0.0306</bold>
</td>
</tr>
<tr>
<td align="left"/>
<td align="center">MNDR</td>
<td align="center">0.9486 &#xb1; 0.0217</td>
<td align="center">0.8826 &#xb1; 0.0331</td>
<td align="center">
<bold>0.9510 &#xb1; 0.0175</bold>
</td>
<td align="center">0.9494 &#xb1; 0.0172</td>
</tr>
<tr>
<td align="center">Recall</td>
<td align="center">LncRNADisease</td>
<td align="center">
<bold>0.7815 &#xb1; 0.0844</bold>
</td>
<td align="center">0.7151 &#xb1; 0.0805</td>
<td align="center">0.7494 &#xb1; 0.0765</td>
<td align="center">0.7709 &#xb1; 0.0622</td>
</tr>
<tr>
<td align="left"/>
<td align="center">MNDR</td>
<td align="center">0.8295 &#xb1; 0.0728</td>
<td align="center">0.8483 &#xb1; 0.0374</td>
<td align="center">
<bold>0.8561 &#xb1; 0.0506</bold>
</td>
<td align="center">0.8436 &#xb1; 0.0513</td>
</tr>
<tr>
<td align="center">Accuracy</td>
<td align="center">LncRNADisease</td>
<td align="center">0.8307 &#xb1; 0.0309</td>
<td align="center">0.7571 &#xb1; 0.0320</td>
<td align="center">0.8261 &#xb1; 0.0523</td>
<td align="center">
<bold>0.8444 &#xb1; 0.0445</bold>
</td>
</tr>
<tr>
<td align="left"/>
<td align="center">MNDR</td>
<td align="center">0.8916 &#xb1; 0.0419</td>
<td align="center">0.8685 &#xb1; 0.0307</td>
<td align="center">
<bold>0.9059 &#xb1; 0.0284</bold>
</td>
<td align="center">0.8989 &#xb1; 0.0317</td>
</tr>
<tr>
<td align="center">F1 score</td>
<td align="center">LncRNADisease</td>
<td align="center">0.8079 &#xb1; 0.0606</td>
<td align="center">0.7359 &#xb1; 0.0525</td>
<td align="center">0.8079 &#xb1; 0.0419</td>
<td align="center">
<bold>0.8278 &#xb1; 0.0363</bold>
</td>
</tr>
<tr>
<td align="left"/>
<td align="center">MNDR</td>
<td align="center">0.8833 &#xb1; 0.0447</td>
<td align="center">0.8644 &#xb1; 0.0265</td>
<td align="center">
<bold>0.9002 &#xb1; 0.0293</bold>
</td>
<td align="center">0.8925 &#xb1; 0.0307</td>
</tr>
<tr>
<td align="center">AUC</td>
<td align="center">LncRNADisease</td>
<td align="center">0.9107 &#xb1; 0.0262</td>
<td align="center">0.8252 &#xb1; 0.0308</td>
<td align="center">0.9139 &#xb1; 0.0406</td>
<td align="center">
<bold>0.9328 &#xb1; 0.0243</bold>
</td>
</tr>
<tr>
<td align="left"/>
<td align="center">MNDR</td>
<td align="center">0.9384 &#xb1; 0.0441</td>
<td align="center">0.9314 &#xb1; 0.0216</td>
<td align="center">0.9664 &#xb1; 0.0190</td>
<td align="center">
<bold>0.9675 &#xb1; 0.0147</bold>
</td>
</tr>
<tr>
<td align="center">AUPR</td>
<td align="center">LncRNADisease</td>
<td align="center">0.8997 &#xb1; 0.0575</td>
<td align="center">0.8283 &#xb1; 0.0559</td>
<td align="center">0.9209 &#xb1; 0.0262</td>
<td align="center">
<bold>0.9304 &#xb1; 0.0252</bold>
</td>
</tr>
<tr>
<td align="left"/>
<td align="center">MNDR</td>
<td align="center">0.9526 &#xb1; 0.0250</td>
<td align="center">0.9371 &#xb1; 0.0241</td>
<td align="center">
<bold>0.9715 &#xb1; 0.0134</bold>
</td>
<td align="center">0.9709 &#xb1; 0.0106</td>
</tr>
</tbody>
</table>
</table-wrap>
<table-wrap id="T6" position="float">
<label>TABLE 6</label>
<caption>
<p>Performance of four boosting methods under CV<sub>d</sub>.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center"/>
<th align="center">Dataset</th>
<th align="center">AdaBoost-CNN</th>
<th align="center">AdaBoost</th>
<th align="center">LightGBM</th>
<th align="center">LDA-SABC</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">Precision</td>
<td align="center">LncRNADisease</td>
<td align="center">0.8581 &#xb1; 0.0502</td>
<td align="center">0.7788 &#xb1; 0.0560</td>
<td align="center">0.9134 &#xb1; 0.0321</td>
<td align="center">
<bold>0.9218 &#xb1; 0.0242</bold>
</td>
</tr>
<tr>
<td align="left"/>
<td align="center">MNDR</td>
<td align="center">0.9467 &#xb1; 0.0224</td>
<td align="center">0.8750 &#xb1; 0.0380</td>
<td align="center">0.9358 &#xb1; 0.0257</td>
<td align="center">
<bold>0.9573 &#xb1; 0.0217</bold>
</td>
</tr>
<tr>
<td align="center">Recall</td>
<td align="center">LncRNADisease</td>
<td align="center">0.8208 &#xb1; 0.0514</td>
<td align="center">0.7746 &#xb1; 0.0576</td>
<td align="center">0.8669 &#xb1; 0.0423</td>
<td align="center">
<bold>0.8745 &#xb1; 0.0353</bold>
</td>
</tr>
<tr>
<td align="left"/>
<td align="center">MNDR</td>
<td align="center">0.9006 &#xb1; 0.0458</td>
<td align="center">0.8521 &#xb1; 0.0665</td>
<td align="center">0.9156 &#xb1; 0.0360</td>
<td align="center">
<bold>0.9231 &#xb1; 0.0400</bold>
</td>
</tr>
<tr>
<td align="center">Accuracy</td>
<td align="center">LncRNADisease</td>
<td align="center">0.8476 &#xb1; 0.0336</td>
<td align="center">0.7832 &#xb1; 0.0288</td>
<td align="center">0.8928 &#xb1; 0.0217</td>
<td align="center">
<bold>0.9008 &#xb1; 0.0232</bold>
</td>
</tr>
<tr>
<td align="left"/>
<td align="center">MNDR</td>
<td align="center">0.9280 &#xb1; 0.0234</td>
<td align="center">0.8769 &#xb1; 0.0177</td>
<td align="center">0.9321 &#xb1; 0.0185</td>
<td align="center">
<bold>0.9455 &#xb1; 0.0146</bold>
</td>
</tr>
<tr>
<td align="center">F1 score</td>
<td align="center">LncRNADisease</td>
<td align="center">0.8376 &#xb1; 0.0378</td>
<td align="center">0.7748 &#xb1; 0.0449</td>
<td align="center">0.8884 &#xb1; 0.0218</td>
<td align="center">
<bold>0.8970 &#xb1; 0.0218</bold>
</td>
</tr>
<tr>
<td align="left"/>
<td align="center">MNDR</td>
<td align="center">0.9223 &#xb1; 0.0260</td>
<td align="center">0.8627 &#xb1; 0.0508</td>
<td align="center">0.9254 &#xb1; 0.0288</td>
<td align="center">
<bold>0.9394 &#xb1; 0.0260</bold>
</td>
</tr>
<tr>
<td align="center">AUC</td>
<td align="center">LncRNADisease</td>
<td align="center">0.9263 &#xb1; 0.0226</td>
<td align="center">0.8548 &#xb1; 0.0246</td>
<td align="center">0.9615 &#xb1; 0.0124</td>
<td align="center">
<bold>0.9630 &#xb1; 0.0122</bold>
</td>
</tr>
<tr>
<td align="left"/>
<td align="center">MNDR</td>
<td align="center">0.9758 &#xb1; 0.0107</td>
<td align="center">0.9395 &#xb1; 0.0154</td>
<td align="center">0.9825 &#xb1; 0.0068</td>
<td align="center">
<bold>0.9860 &#xb1; 0.0057</bold>
</td>
</tr>
<tr>
<td align="center">AUPR</td>
<td align="center">LncRNADisease</td>
<td align="center">0.9215 &#xb1; 0.0290</td>
<td align="center">0.8453 &#xb1; 0.0581</td>
<td align="center">0.9596 &#xb1; 0.0147</td>
<td align="center">
<bold>0.9605 &#xb1; 0.0130</bold>
</td>
</tr>
<tr>
<td align="left"/>
<td align="center">MNDR</td>
<td align="center">0.9746 &#xb1; 0.0131</td>
<td align="center">0.9290 &#xb1; 0.0367</td>
<td align="center">0.9793 &#xb1; 0.0144</td>
<td align="center">
<bold>0.9836 &#xb1; 0.0101</bold>
</td>
</tr>
</tbody>
</table>
</table-wrap>
<table-wrap id="T7" position="float">
<label>TABLE 7</label>
<caption>
<p>Performance of four boosting methods under CV<sub>ld</sub>.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center"/>
<th align="center">Dataset</th>
<th align="center">AdaBoost-CNN</th>
<th align="center">AdaBoost</th>
<th align="center">LightGBM</th>
<th align="center">LDA-SABC</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">Precision</td>
<td align="center">LncRNADisease</td>
<td align="center">0.8810 &#xb1; 0.0285</td>
<td align="center">0.7989 &#xb1; 0.0262</td>
<td align="center">0.9012 &#xb1; 0.0263</td>
<td align="center">
<bold>0.9052 &#xb1; 0.0241</bold>
</td>
</tr>
<tr>
<td align="left"/>
<td align="center">MNDR</td>
<td align="center">0.9455 &#xb1; 0.0115</td>
<td align="center">0.8755 &#xb1; 0.0157</td>
<td align="center">0.9426 &#xb1; 0.0140</td>
<td align="center">
<bold>0.9525 &#xb1; 0.0153</bold>
</td>
</tr>
<tr>
<td align="center">Recall</td>
<td align="center">LncRNADisease</td>
<td align="center">0.9031 &#xb1; 0.0242</td>
<td align="center">0.8040 &#xb1; 0.0323</td>
<td align="center">0.8893 &#xb1; 0.0335</td>
<td align="center">
<bold>0.9074 &#xb1; 0.0329</bold>
</td>
</tr>
<tr>
<td align="left"/>
<td align="center">MNDR</td>
<td align="center">
<bold>0.9507 &#xb1; 0.0119</bold>
</td>
<td align="center">0.8691 &#xb1; 0.0230</td>
<td align="center">0.9350 &#xb1; 0.0131</td>
<td align="center">0.9459 &#xb1; 0.0131</td>
</tr>
<tr>
<td align="center">Accuracy</td>
<td align="center">LncRNADisease</td>
<td align="center">0.8901 &#xb1; 0.0203</td>
<td align="center">0.8003 &#xb1; 0.0214</td>
<td align="center">0.8955 &#xb1; 0.0227</td>
<td align="center">
<bold>0.9058 &#xb1; 0.0183</bold>
</td>
</tr>
<tr>
<td align="left"/>
<td align="center">MNDR</td>
<td align="center">0.9479 &#xb1; 0.0087</td>
<td align="center">0.8726 &#xb1; 0.0129</td>
<td align="center">0.9389 &#xb1; 0.0097</td>
<td align="center">
<bold>0.9493 &#xb1; 0.0109</bold>
</td>
</tr>
<tr>
<td align="center">F1 score</td>
<td align="center">LncRNADisease</td>
<td align="center">0.8916 &#xb1; 0.0194</td>
<td align="center">0.8009 &#xb1; 0.0220</td>
<td align="center">0.8948 &#xb1; 0.0232</td>
<td align="center">
<bold>0.9058 &#xb1; 0.0190</bold>
</td>
</tr>
<tr>
<td align="left"/>
<td align="center">MNDR</td>
<td align="center">0.9480 &#xb1; 0.0087</td>
<td align="center">0.8721 &#xb1; 0.0135</td>
<td align="center">0.9387 &#xb1; 0.0096</td>
<td align="center">
<bold>0.9491 &#xb1; 0.0108</bold>
</td>
</tr>
<tr>
<td align="center">AUC</td>
<td align="center">LncRNADisease</td>
<td align="center">0.9532 &#xb1; 0.0144</td>
<td align="center">0.8657 &#xb1; 0.0177</td>
<td align="center">0.9575 &#xb1; 0.0122</td>
<td align="center">
<bold>0.9628 &#xb1; 0.0132</bold>
</td>
</tr>
<tr>
<td align="left"/>
<td align="center">MNDR</td>
<td align="center">0.9850 &#xb1; 0.0043</td>
<td align="center">0.9447 &#xb1; 0.0090</td>
<td align="center">0.9839 &#xb1; 0.0042</td>
<td align="center">
<bold>0.9878 &#xb1; 0.0046</bold>
</td>
</tr>
<tr>
<td align="center">AUPR</td>
<td align="center">LncRNADisease</td>
<td align="center">0.9482 &#xb1; 0.0194</td>
<td align="center">0.8610 &#xb1; 0.0189</td>
<td align="center">0.9561 &#xb1; 0.0119</td>
<td align="center">
<bold>0.9606 &#xb1; 0.0150</bold>
</td>
</tr>
<tr>
<td align="left"/>
<td align="center">MNDR</td>
<td align="center">0.9840 &#xb1; 0.0058</td>
<td align="center">0.9454 &#xb1; 0.0106</td>
<td align="center">0.9839 &#xb1; 0.0041</td>
<td align="center">
<bold>0.9881 &#xb1; 0.0055</bold>
</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s3-4">
<title>3.4 Case study</title>
<p>Lung cancer is one of the most frequent malignant tumors and has a very high incidence and mortality rate. More importantly, its 5-year survival rate is much lower compared to other leading cancers (<xref ref-type="bibr" rid="B25">Huang et al., 2023</xref>). Non-small-cell lung cancer and lung adenocarcinoma (LUAD) are two prevalent lung cancers, wherein NSCLC accounts for approximately 85% of lung cancers (<xref ref-type="bibr" rid="B65">Tan et al., 2023</xref>) and LUAD is the most predominant subtype (<xref ref-type="bibr" rid="B34">Li et al., 2023</xref>). lncRNAs have close associations with various complex diseases and are potential biomarkers of many types of cancers. Therefore, it is very important to discover potential lncRNAs and further provide therapeutic options for lung cancer.</p>
<p>Through performance comparison, we validated the accurate LDA classification performance of LDA-SABC. Subsequently, we utilized LDA-SABC to discover the potential lncRNAs for NSCLC and LUAD. We computed the association probabilities between all lncRNAs and NSCLC and LUAD. <xref ref-type="table" rid="T8">Tables 8</xref> and <xref ref-type="table" rid="T9">9</xref> demonstrate the top 15 lncRNAs with the highest association probability with NSCLC and LUAD among all lncRNAs which have no observed association with NSCLC and LUAD on the LncRNADisease and MNDR databases, respectively. <xref ref-type="fig" rid="F4">Figure 4</xref> elucidates two predicted LDA networks for NSCLC and LUAD.</p>
<table-wrap id="T8" position="float">
<label>TABLE 8</label>
<caption>
<p>Predicted top 15 lncRNAs associated with NSCLC on LncRNADisease and MNDR.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th colspan="3" align="center">LncRNADisease</th>
<th colspan="3" align="center">MNDR</th>
</tr>
<tr>
<th align="center">Rank</th>
<th align="center">LncRNA</th>
<th align="center">Evidence</th>
<th align="center">Rank</th>
<th align="center">LncRNA</th>
<th align="center">Evidence</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">1</td>
<td align="center">HULC</td>
<td align="center">Lnc2Cancer 3.0, RNADisease, and LncRNADisease v3.0</td>
<td align="center">1</td>
<td align="center">PTENP1</td>
<td align="center">Unknown</td>
</tr>
<tr>
<td align="center">2</td>
<td align="center">MIAT</td>
<td align="center">Lnc2Cancer 3.0, RNADisease, and LncRNADisease v3.0</td>
<td align="center">2</td>
<td align="center">WRAP53</td>
<td align="center">RNADisease and Lnc2Cancer 3.0</td>
</tr>
<tr>
<td align="center">3</td>
<td align="center">MINA</td>
<td align="center">Unknown</td>
<td align="center">3</td>
<td align="center">PRINS</td>
<td align="center">Unknown</td>
</tr>
<tr>
<td align="center">4</td>
<td align="center">CCDC26</td>
<td align="center">Unknown</td>
<td align="center">4</td>
<td align="center">MINA</td>
<td align="center">Unknown</td>
</tr>
<tr>
<td align="center">5</td>
<td align="center">CRNDE</td>
<td align="center">Lnc2Cancer 3.0, RNADisease, and LncRNADisease v3.0</td>
<td align="center">5</td>
<td align="center">RRP1B</td>
<td align="center">Unknown</td>
</tr>
<tr>
<td align="center">6</td>
<td align="center">PCAT1</td>
<td align="center">Lnc2Cancer 3.0, RNADisease, and LncRNADisease v3.0</td>
<td align="center">6</td>
<td align="center">MYCNOS</td>
<td align="center">Unknown</td>
</tr>
<tr>
<td align="center">7</td>
<td align="center">HNF1A-AS1</td>
<td align="center">Lnc2Cancer 3.0, RNADisease, and LncRNADisease v3.0</td>
<td align="center">7</td>
<td align="center">DLEU1</td>
<td align="center">LncRNADisease v3.0</td>
</tr>
<tr>
<td align="center">8</td>
<td align="center">7SK</td>
<td align="center">Unknown</td>
<td align="center">8</td>
<td align="center">LINC00032</td>
<td align="center">Unknown</td>
</tr>
<tr>
<td align="center">9</td>
<td align="center">WT1-AS</td>
<td align="center">LncRNADisease v3.0</td>
<td align="center">9</td>
<td align="center">SNHG16</td>
<td align="center">Lnc2Cancer 3.0, RNADisease, and LncRNADisease v3.0</td>
</tr>
<tr>
<td align="center">10</td>
<td align="center">GHET1</td>
<td align="center">RNADisease and LncRNADisease v3.0</td>
<td align="center">10</td>
<td align="center">SRA1</td>
<td align="center">Unknown</td>
</tr>
<tr>
<td align="center">11</td>
<td align="center">SOX2-OT</td>
<td align="center">RNADisease, and LncRNADisease v3.0</td>
<td align="center">11</td>
<td align="center">7SK</td>
<td align="center">Unknown</td>
</tr>
<tr>
<td align="center">12</td>
<td align="center">PTENP1</td>
<td align="center">Unknown</td>
<td align="center">12</td>
<td align="center">MKRN3-AS1</td>
<td align="center">Unknown</td>
</tr>
<tr>
<td align="center">13</td>
<td align="center">CASC2</td>
<td align="center">Lnc2Cancer 3.0, RNADisease, and LncRNADisease v3.0</td>
<td align="center">13</td>
<td align="center">DISC2</td>
<td align="center">Unknown</td>
</tr>
<tr>
<td align="center">14</td>
<td align="center">HIF1A-AS2</td>
<td align="center">LncRNADisease v3.0</td>
<td align="center">14</td>
<td align="center">NRON</td>
<td align="center">Unknown</td>
</tr>
<tr>
<td align="center">15</td>
<td align="center">LSINCT5</td>
<td align="center">Lnc2Cancer 3.0, RNADisease, and LncRNADisease v3.0</td>
<td align="center">15</td>
<td align="center">MESTIT1</td>
<td align="center">Unknown</td>
</tr>
</tbody>
</table>
</table-wrap>
<table-wrap id="T9" position="float">
<label>TABLE 9</label>
<caption>
<p>Predicted top 15 lncRNAs associated with LUAD on LncRNADisease and MNDR.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th colspan="3" align="center">LncRNADisease</th>
<th colspan="3" align="center">MNDR</th>
</tr>
<tr>
<th align="center">Rank</th>
<th align="center">LncRNA</th>
<th align="center">Evidence</th>
<th align="center">Rank</th>
<th align="center">LncRNA</th>
<th align="center">Evidence</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">1</td>
<td align="center">CDKN2B-AS1</td>
<td align="center">RNADisease and Lnc2Cancer 3.0</td>
<td align="center">1</td>
<td align="center">TUG1</td>
<td align="center">RNADisease and LncRNADisease v3.0</td>
</tr>
<tr>
<td align="center">2</td>
<td align="center">PVT1</td>
<td align="center">Lnc2Cancer 3.0, RNADisease, and LncRNADisease v3.0</td>
<td align="center">2</td>
<td align="center">CDKN2B-AS1</td>
<td align="center">RNADisease and Lnc2Cancer 3.0</td>
</tr>
<tr>
<td align="center">3</td>
<td align="center">H19</td>
<td align="center">Lnc2Cancer 3.0 and LncRNADisease v3.0</td>
<td align="center">3</td>
<td align="center">PVT1</td>
<td align="center">Lnc2Cancer 3.0, RNADisease, and LncRNADisease v3.0</td>
</tr>
<tr>
<td align="center">4</td>
<td align="center">TUG1</td>
<td align="center">RNADisease and LncRNADisease v3.0</td>
<td align="center">4</td>
<td align="center">UCA1</td>
<td align="center">Lnc2Cancer 3.0, RNADisease, and LncRNADisease v3.0</td>
</tr>
<tr>
<td align="center">5</td>
<td align="center">CCAT2</td>
<td align="center">Lnc2Cancer 3.0 and LncRNADisease v3.0</td>
<td align="center">5</td>
<td align="center">KCNQ1OT1</td>
<td align="center">RNADisease and Lnc2Cancer 3.0</td>
</tr>
<tr>
<td align="center">6</td>
<td align="center">XIST</td>
<td align="center">RNADisease and Lnc2Cancer 3.0</td>
<td align="center">6</td>
<td align="center">CBR3-AS1</td>
<td align="center">LncRNADisease v3.0</td>
</tr>
<tr>
<td align="center">7</td>
<td align="center">HULC</td>
<td align="center">Unknown</td>
<td align="center">7</td>
<td align="center">SNHG4</td>
<td align="center">Unknown</td>
</tr>
<tr>
<td align="center">8</td>
<td align="center">DANCR</td>
<td align="center">Lnc2Cancer 3.0, RNADisease, and LncRNADisease v3.0</td>
<td align="center">8</td>
<td align="center">WT1-AS</td>
<td align="center">LncRNADisease v3.0</td>
</tr>
<tr>
<td align="center">9</td>
<td align="center">MINA</td>
<td align="center">Unknown</td>
<td align="center">9</td>
<td align="center">SPRY4-IT1</td>
<td align="center">RNADisease and Lnc2Cancer 3.0</td>
</tr>
<tr>
<td align="center">10</td>
<td align="center">BCYRN1</td>
<td align="center">Unknown</td>
<td align="center">10</td>
<td align="center">BCYRN1</td>
<td align="center">Unknown</td>
</tr>
<tr>
<td align="center">11</td>
<td align="center">BANCR</td>
<td align="center">Unknown</td>
<td align="center">11</td>
<td align="center">HULC</td>
<td align="center">Unknown</td>
</tr>
<tr>
<td align="center">12</td>
<td align="center">PANDAR</td>
<td align="center">Unknown</td>
<td align="center">12</td>
<td align="center">PTENP1</td>
<td align="center">Unknown</td>
</tr>
<tr>
<td align="center">13</td>
<td align="center">CASC2</td>
<td align="center">Lnc2Cancer 3.0, RNADisease, and LncRNADisease v3.0</td>
<td align="center">13</td>
<td align="center">HIF1A-AS1</td>
<td align="center">RNADisease</td>
</tr>
<tr>
<td align="center">14</td>
<td align="center">LSINCT5</td>
<td align="center">Unknown</td>
<td align="center">14</td>
<td align="center">CCAT2</td>
<td align="center">Lnc2Cancer 3.0, and LncRNADisease v3.0</td>
</tr>
<tr>
<td align="center">15</td>
<td align="center">CCDC26</td>
<td align="center">Unknown</td>
<td align="center">15</td>
<td align="center">HIF1A-AS2</td>
<td align="center">LncRNADisease v3.0</td>
</tr>
</tbody>
</table>
</table-wrap>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>
<bold>(A)</bold> Inferred top 15 lncRNAs associated with NSCLC on LncRNADisease and MNDR databases. <bold>(B)</bold> Inferred top 15 lncRNAs associated with LUAD on LncRNADisease and MNDR databases.</p>
</caption>
<graphic xlink:href="fgene-15-1356205-g004.tif"/>
</fig>
<p>Among the inferred top 15 lncRNAs associated with NSCLC, 11 and 3 lncRNAs, predicted on the LncRNADisease and MNDR databases, have been confirmed by Lnc2Cancer 3.0 (<xref ref-type="bibr" rid="B19">Gao et al., 2021</xref>), LncRNADisease v3.0 (<xref ref-type="bibr" rid="B37">Lin et al., 2023b</xref>), and/or RNADisease (<xref ref-type="bibr" rid="B5">Chen et al., 2023</xref>), respectively. Particularly, 7SK was linked to NSCLC, which was ranked 8 and 11, respectively. lncRNA 7SK acts as a transcription regulator. Its exosomal delivery could inhibit the proliferation and aggressiveness of tumor cells in triple-negative breast cancer (<xref ref-type="bibr" rid="B17">Farhadi et al., 2023</xref>). Furthermore, 7SK could suppress human tongue squamous carcinoma (<xref ref-type="bibr" rid="B90">Zhang et al., 2021</xref>). 7SK was predicted to be associated with NSCLC, which needs further confirmation.</p>
<p>Among the inferred top 15 lncRNAs associated with LUAD, 8 and 11 lncRNAs, predicted on the LncRNADisease and MNDR databases, have been reported by Lnc2Cancer 3.0, LncRNADisease v3.0, and/or RNADisease, respectively. We found that HULC could be associated with LUAD, which was ranked 7 and 11, respectively. HULC is an oncogenic lncRNA and may serve as a prognostic biomarker of hepatocellular carcinoma development (<xref ref-type="bibr" rid="B40">Liu S. et al., 2023</xref>). Moreover, it displays the potential to be a novel biomarker for assisting acute myocardial infarction diagnosis when combined with other biomarkers (<xref ref-type="bibr" rid="B82">Xie et al., 2022</xref>).</p>
</sec>
</sec>
<sec id="s4">
<title>4 Discussion and conclusion</title>
<p>Inferring possible LDAs can advance our understanding of human complex diseases in the context of lncRNAs. However, traditional experimental techniques for LDA prediction are costly, laborious, and time-consuming, which restricts the number of the verified LDAs. Thus, substantive computational frameworks have been exploited. In this manuscript, we proposed a novel computational LDA inference framework LDA-SABC by combining SVD and an ensemble model of LightGBM and AdaBoost-CNN.</p>
<p>LDA-SABC first acquired LDP linear features using SVD. Next, it computed the association probability for each LDP with LDA-LightGBM and LDA-AdaBoost-CNN. Finally, all LDPs were classified through ensemble learning. To illustrate the effectiveness of LDA-SABC, it was compared with four classical computational methods (SDLDA, LDNFSGB, IPCARF, and LDASR) under three CVs. The results elucidated that its performance was significantly improved. To validate the performance of LDA-SABC, we further performed case studies to find potential biomarkers of NSCLC and LUAD and discovered the top 15 lncRNAs linked to them from all unknown LDPs. The results demonstrated that among the inferred top lncRNAs reported by RNADisease, LncRNADisease v3.0, or/and Lnc2Cancer 3.0 databases, 7SK and HULC could have a relationship with NSCLC and LUAD, respectively.</p>
<p>The novelty of this study is the use of SVD for extracting LDP features and designing an ensemble model with LightGBM and AdaBoost-CNN for improving the LDA prediction accuracy. Differing from traditional LDA prediction performance validation, LDA-SABC was assessed under fivefold CVs on lncRNAs, diseases, and LDPs. However, in the process of negative LDA selection, a random selection strategy was adopted, which affected the overall performance of the model. In the future, we will design a reasonable negative LDA selection strategy based on positive-unlabeled learning. More importantly, we will still explore a stronger classification model for LDP classification by integrating various data and deep learning methods. We hope that our proposed LDA-SABC could contribute to the lncRNA biomarker discovery of various complex diseases, especially cancers, and further help find new therapeutic options for various types of cancers.</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="s5">
<title>Data availability statement</title>
<p>Publicly available datasets were analyzed in this study. These data can be found at: <ext-link ext-link-type="uri" xlink:href="https://github.com/plhhnu/LDA-SABC">https://github.com/plhhnu/LDA-SABC</ext-link>.</p>
</sec>
<sec id="s6">
<title>Author contributions</title>
<p>LZh: writing&#x2013;original draft and writing&#x2013;review and editing. XP: writing&#x2013;original draft and writing&#x2013;review and editing. LP: writing&#x2013;original draft and writing&#x2013;review and editing. LZe: writing&#x2013;original draft and writing&#x2013;review and editing.</p>
</sec>
<sec sec-type="funding-information" id="s7">
<title>Funding</title>
<p>The author(s) declare that financial support was received for the research, authorship, and/or publication of this article. LZh received funding from the National Natural Science Foundation of China under grant no. 62072172 and Natural Science Foundation of Hunan Province under grant no. 2021JJ30219. LP was supported by the National Natural Science Foundation of China under grant no. 61803151.</p>
</sec>
<sec sec-type="COI-statement" id="s8">
<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="disclaimer" id="s9">
<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 id="s10">
<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/fgene.2024.1356205/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/fgene.2024.1356205/full&#x23;supplementary-material</ext-link>
</p>
<supplementary-material xlink:href="Table1.PDF" id="SM1" mimetype="application/PDF" xmlns:xlink="http://www.w3.org/1999/xlink"/>
</sec>
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