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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">JDS</journal-id>
<journal-title-group><journal-title>Journal of Data Science</journal-title></journal-title-group>
<issn pub-type="epub">1683-8602</issn><issn pub-type="ppub">1680-743X</issn><issn-l>1680-743X</issn-l>
<publisher>
<publisher-name>School of Statistics, Renmin University of China</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">JDS1226</article-id>
<article-id pub-id-type="doi">10.6339/26-JDS1226</article-id>
<article-categories><subj-group subj-group-type="heading">
<subject>Computing in Data Science</subject></subj-group></article-categories>
<title-group>
<article-title>Enhance Supervised Self-Organization Clustering by Utilizing Unsupervised Learning Embeddings on Discrete Data</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name><surname>Fu</surname><given-names>Qiang</given-names></name><xref ref-type="aff" rid="j_jds1226_aff_001">1</xref>
</contrib>
<contrib contrib-type="author">
<name><surname>Li</surname><given-names>Yuefeng</given-names></name><email xlink:href="mailto:y2.li@qut.edu.au">y2.li@qut.edu.au</email><xref ref-type="aff" rid="j_jds1226_aff_001">1</xref><xref ref-type="corresp" rid="cor1">∗</xref>
</contrib>
<aff id="j_jds1226_aff_001"><label>1</label>School of Computer Science, <institution>Queensland University of Technology</institution>, Brisbane, <country>Australia</country></aff>
</contrib-group>
<author-notes>
<corresp id="cor1"><label>∗</label>Corresponding author. Email: <ext-link ext-link-type="uri" xlink:href="mailto:y2.li@qut.edu.au">y2.li@qut.edu.au</ext-link>.</corresp>
</author-notes>
<pub-date pub-type="ppub"><year>2026</year></pub-date><pub-date pub-type="epub"><day>1</day><month>4</month><year>2026</year></pub-date><volume content-type="ahead-of-print">0</volume><issue>0</issue><fpage>1</fpage><lpage>19</lpage><supplementary-material id="S1" content-type="archive" xlink:href="jds1226_s001.zip" mimetype="application" mime-subtype="x-zip-compressed">
<caption>
<title>Supplementary Material</title>
<p>All data and code associated with the data are in the GitHub repository <uri>https://github.com/foolishfool/TDSMSOG</uri>.</p>
</caption>
</supplementary-material><history><date date-type="received"><day>22</day><month>5</month><year>2025</year></date><date date-type="accepted"><day>3</day><month>3</month><year>2026</year></date></history>
<permissions><copyright-statement>2026 The Author(s). Published by the School of Statistics and the Center for Applied Statistics, Renmin University of China.</copyright-statement><copyright-year>2026</copyright-year>
<license license-type="open-access" xlink:href="https://creativecommons.org/licenses/by/4.0/">
<license-p>Open access article under the <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">CC BY</ext-link> license.</license-p></license></permissions>
<abstract>
<p>The self-organizing map (SOM) is an unsupervised, competitive learning neural network that projects high-dimensional data onto a low-dimensional grid, effectively showcasing the topological relationships within the original dataset. However, the conventional SOM training algorithm is restricted to numeric data. Categorical data typically needs to be converted into binary format before SOM training, which can lead to the loss of crucial similarity information between categorical values. As a result, the trained SOM may not accurately reflect the true topological order. While a training data splitting method (TDSM) can help identify perfect representative neurons and enhance clustering outcomes, the training data itself often lacks sufficient information, such as data distribution, and can be uncertain and ambiguous. Even when perfect neurons are identified, further improvements in clustering results become challenging. This paper investigates the possibility of improving the performance of supervised TDSM SOM clustering by utilizing unsupervised self-organization granule encoding for discrete data. This approach to unsupervised learning is advantageous for uncovering uncertain and ambiguous information within discrete data, leading to a more effective topological representation of the training data.</p>
</abstract>
<kwd-group>
<label>Keywords</label>
<kwd>fuzzy set</kwd>
<kwd>granular computing</kwd>
<kwd>noncontinuous data clustering</kwd>
<kwd>self-organized granular encoding</kwd>
<kwd>training data splitting method</kwd>
</kwd-group>
<funding-group><funding-statement>This article was partially supported by the Grant DP220101360 from the Australian Research Council.</funding-statement></funding-group>
</article-meta>
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