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  <front>
    <journal-meta>
      <journal-title-group>
        <journal-title>X. Liu);</journal-title>
      </journal-title-group>
    </journal-meta>
    <article-meta>
      <title-group>
        <article-title>MDMapper Results for OAEI 2025</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Xianhao Liu</string-name>
          <email>xianliu@dtu.dk</email>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Michael R. Hansen</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Jesper Grode</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="editor">
          <string-name>Ontology Matching, Ontology Alignment Evaluation, Product Master Data Models</string-name>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Stibo Systems A/S</institution>
          ,
          <addr-line>Axel Kiers Vej 11, 8270 Højbjerg</addr-line>
          ,
          <country country="DK">Denmark</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>Technical University of Denmark</institution>
          ,
          <addr-line>2800 Kgs-Lyngby</addr-line>
          ,
          <country country="DK">Denmark</country>
        </aff>
      </contrib-group>
      <pub-date>
        <year>2024</year>
      </pub-date>
      <volume>000</volume>
      <fpage>0</fpage>
      <lpage>0002</lpage>
      <abstract>
        <p>This paper reports on the participation of MDMapper in the Ontology Alignment Evaluation Initiative (OAEI) 2025. MDMapper is an ontology matching system tailored for Product Master Data Model (PMDM) contexts, integrating hierarchical reasoning and property-based similarity to support both equivalence and non-equivalence correspondences. Following its initial participation in OAEI 2024 (Anatomy and Conference tracks), MDMapper also compete in these two tracks in 2025 and additionally participated in the new Beyond Equivalence track, which evaluates alignment relations beyond equivalence. Although no significant architectural changes were made to the system, MDMapper achieved outstanding performance in Beyond Equivalence track, particularly on PMDM tasks.</p>
      </abstract>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>-</title>
      <p>CEUR
ISSN1613-0073</p>
    </sec>
    <sec id="sec-2">
      <title>1. Introduction</title>
      <p>
        MDMapper [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ] is an ontology matching system developed to support consistent data exchange
across digital information supply chain as described in [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ] , with a particular focus on aligning
product classification hierarchies enriched with attributes. It leverages hierarchical reasoning
and property compatibility analysis to detect not only equivalence but also containment and
overlap correspondences between ontology entities.
      </p>
      <p>
        MDMapper first participated in OAEI 2024 [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ], where it was evaluated in the Anatomy and
Conference tracks. Building on this foundation, the 2025 edition extended the participation
to include the newly introduced Beyond Equivalence [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ] track, which focuses on finding
correspondences beyond equivalence.
      </p>
    </sec>
    <sec id="sec-3">
      <title>2. Results</title>
      <p>Track</p>
      <sec id="sec-3-1">
        <title>Anatomy</title>
      </sec>
      <sec id="sec-3-2">
        <title>Conference</title>
        <p>Year Prec. Rec.</p>
        <p>Furthermore, the newly introduced Beyond Equivalence track provided the matching context
involving PMDM and STROMA/TaSeR tasks. Here, MDMapper achieved the highest scores in
the PMDM tasks, such as TIM–ECLASS, ECLASS–UNSPSC, ECLASS-GPC, GPC–UNSPSC, and
GPC–UNSPSC+. The results demonstrate its outperforming capability in matching classification
ontologies with hierarchical structure and attribute-rich context.</p>
        <sec id="sec-3-2-1">
          <title>2.1. Anatomy</title>
          <p>
            Table 1 shows that MDMapper achieved stable results on the Anatomy track compared with
2024. This year, MDMapper achieved slightly lower scores on the Anatomy track due to the
inclusion of explicit correspondences beyond equivalence, which were excluded in the last year.
The precision decreased slightly from 0.926 to 0.899, and recall remained nearly unchanged,
yielding an F1-score of 0.889 in 2025 versus 0.903 in 2024. In terms of F1-measure, MDMapper
(0.889) ranked 6th of 12 compared matchers, following Matcha [
            <xref ref-type="bibr" rid="ref5 ref6">5, 6</xref>
            ] (0.941), Agent-OM [
            <xref ref-type="bibr" rid="ref7">7</xref>
            ]
(0.920), ALIN [
            <xref ref-type="bibr" rid="ref8">8</xref>
            ] (0.912), LogMapLLM [
            <xref ref-type="bibr" rid="ref9">9</xref>
            ] (0.899), and LogMapBio [
            <xref ref-type="bibr" rid="ref10">10</xref>
            ] (0.898).
          </p>
          <p>However, it is important to note that this alignment includes non-equivalence
correspondences, which are evaluated against a reference alignment that considers only equivalences.
This mismatch can lead to an underestimation of performance, as some correct non-equivalence
correspondences are are incorrectly penalized, contributing to the observed decrease in scores
compared to last year.</p>
        </sec>
        <sec id="sec-3-2-2">
          <title>2.2. Conference</title>
        </sec>
        <sec id="sec-3-2-3">
          <title>2.3. Beyond Equivalence</title>
          <p>
            The Beyond Equivalence track was newly introduced in OAEI 2025 to evaluate ontology
matching systems on their ability to detect relations beyond equivalence. The datasets used in this
track are derived from Product Master Data Models (PMDMs) as well as from the STROMA [
            <xref ref-type="bibr" rid="ref11">11</xref>
            ]
and TaSeR [
            <xref ref-type="bibr" rid="ref12">12</xref>
            ] test cases.
          </p>
          <p>
            In addition to traditional metrics, the Beyond Equivalence track employed the isAmong
evaluation [
            <xref ref-type="bibr" rid="ref4">4</xref>
            ], enabling fairer assessment of non-equivalence correspondences.
          </p>
          <p>MDMapper achieved the best results on all PMDM tasks under both traditional and isAmong
evaluation methods, while its performance on the STROMA/TaSeR datasets was moderate
compared to other systems. Nevertheless, as shown in Tables 1 and 2, the overall scores remain
low, highlighting the challenges of the Beyond Equivalence track and the methodological gaps
in current ontology matching systems.</p>
        </sec>
      </sec>
    </sec>
    <sec id="sec-4">
      <title>3. Discussion</title>
      <p>MDMapper demonstrated robust and adaptable performance across both classical
equivalenceonly and beyond-equivalence matching tasks. Its consistent results on the Anatomy and
Conference tracks confirm the stability of the framework, while its performance on the Beyond
Equivalence track highlights its strength in handling hierarchical and attribute-rich ontologies,
particularly for PMDMs. However, the overall low scores observed across beyond-equivalence
tasks underscore the persistent dificulty of identifying non-equivalence correspondences.</p>
      <p>
        Future work will focus on integrating Large Language Models (LLMs) to address the challenge
of relation typing [
        <xref ref-type="bibr" rid="ref12">12</xref>
        ] in the matching process. The goal is to enable the prediction of relations
between candidate entity pairs based on their contextual information,thereby supporting more
reliable navigation and resulting in improved alignment that beyond equivalence.
      </p>
    </sec>
    <sec id="sec-5">
      <title>Declaration on Generative AI</title>
      <p>During the preparation of this work, the authors used Grammarly in order to grammar and
spell check, and improve the text readability. After using the tool, the authors reviewed and
edited the content as needed to take full responsibility for the publication’s content.</p>
      <sec id="sec-5-1">
        <title>Acknowledgement</title>
        <p>This study was funded by Innovation Fund Denmark (grant number 2050-00004B).</p>
      </sec>
    </sec>
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