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<article xmlns:xlink="http://www.w3.org/1999/xlink">
  <front>
    <journal-meta>
      <journal-title-group>
        <journal-title>and Arild Waaler. Match-
ing Disease and Phenotype Ontologies in the Ontology Alignment Evaluation Initiative.
Journal of Biomedical Semantics</journal-title>
      </journal-title-group>
    </journal-meta>
    <article-meta>
      <title-group>
        <article-title>Results of the Ontology Alignment Evaluation Initiative 2021⋆</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Mina Abd Nikooie Pour</string-name>
          <xref ref-type="aff" rid="aff17">17</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Alsayed Algergawy</string-name>
          <xref ref-type="aff" rid="aff10">10</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Florence Amardeilh</string-name>
          <xref ref-type="aff" rid="aff6">6</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Reihaneh Amini</string-name>
          <xref ref-type="aff" rid="aff3">3</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Omaima Fallatah</string-name>
          <xref ref-type="aff" rid="aff13">13</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Daniel Faria</string-name>
          <xref ref-type="aff" rid="aff16">16</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Irini Fundulaki</string-name>
          <xref ref-type="aff" rid="aff15">15</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Ian Harrow</string-name>
          <xref ref-type="aff" rid="aff18">18</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Sven Hertling</string-name>
          <xref ref-type="aff" rid="aff23">23</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Pascal Hitzler</string-name>
          <xref ref-type="aff" rid="aff3">3</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Martin Huschka</string-name>
          <xref ref-type="aff" rid="aff8">8</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Liliana Ibanescu</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Ernesto Jime´nez-Ruiz</string-name>
          <xref ref-type="aff" rid="aff2">2</xref>
          <xref ref-type="aff" rid="aff5">5</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Naouel Karam</string-name>
          <xref ref-type="aff" rid="aff14">14</xref>
          <xref ref-type="aff" rid="aff7">7</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Amir Laadhar</string-name>
          <xref ref-type="aff" rid="aff4">4</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Patrick Lambrix</string-name>
          <xref ref-type="aff" rid="aff17">17</xref>
          <xref ref-type="aff" rid="aff22">22</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Huanyu Li</string-name>
          <xref ref-type="aff" rid="aff17">17</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Ying Li</string-name>
          <xref ref-type="aff" rid="aff17">17</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Franck Michel</string-name>
          <xref ref-type="aff" rid="aff21">21</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Engy Nasr</string-name>
          <xref ref-type="aff" rid="aff9">9</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Heiko Paulheim</string-name>
          <xref ref-type="aff" rid="aff23">23</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Catia Pesquita</string-name>
          <xref ref-type="aff" rid="aff16">16</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Jan Portisch</string-name>
          <xref ref-type="aff" rid="aff23">23</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Catherine Roussey</string-name>
          <xref ref-type="aff" rid="aff11">11</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Tzanina Saveta</string-name>
          <xref ref-type="aff" rid="aff15">15</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Pavel Shvaiko</string-name>
          <xref ref-type="aff" rid="aff20">20</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Andrea Splendiani</string-name>
          <xref ref-type="aff" rid="aff18">18</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Ca´ssia Trojahn</string-name>
          <xref ref-type="aff" rid="aff12">12</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Jana Vatasˇcˇinova´</string-name>
          <xref ref-type="aff" rid="aff19">19</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Beyza Yaman</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Ondrˇej Zamazal</string-name>
          <xref ref-type="aff" rid="aff19">19</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Lu Zhou</string-name>
          <xref ref-type="aff" rid="aff3">3</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>ADAPT Centre, Dublin City University</institution>
          ,
          <country country="IE">Ireland</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>AgroParisTech, UMR MIA-Paris/INRAE</institution>
          ,
          <country country="FR">France</country>
        </aff>
        <aff id="aff2">
          <label>2</label>
          <institution>City, University of London</institution>
          ,
          <country country="UK">UK</country>
        </aff>
        <aff id="aff3">
          <label>3</label>
          <institution>Data Semantics (DaSe) Laboratory, Kansas State University</institution>
          ,
          <country country="US">USA</country>
        </aff>
        <aff id="aff4">
          <label>4</label>
          <institution>Department of Computer Science, Aalborg University</institution>
          ,
          <country country="DK">Denmark</country>
        </aff>
        <aff id="aff5">
          <label>5</label>
          <institution>Department of Informatics, University of Oslo</institution>
          ,
          <country country="NO">Norway</country>
        </aff>
        <aff id="aff6">
          <label>6</label>
          <institution>Elzeard.co</institution>
          ,
          <addr-line>Paris</addr-line>
          ,
          <country country="FR">France</country>
        </aff>
        <aff id="aff7">
          <label>7</label>
          <institution>Fraunhofer FOKUS</institution>
          ,
          <addr-line>Berlin</addr-line>
          ,
          <country country="DE">Germany</country>
        </aff>
        <aff id="aff8">
          <label>8</label>
          <institution>Fraunhofer Institute for High-Speed Dynamics, Ernst-Mach-Institut</institution>
          ,
          <addr-line>EMI</addr-line>
          ,
          <country country="DE">Germany</country>
        </aff>
        <aff id="aff9">
          <label>9</label>
          <institution>Freiburg Galaxy Team, University of Freiburg</institution>
          ,
          <country country="DE">Germany</country>
        </aff>
        <aff id="aff10">
          <label>10</label>
          <institution>Friedrich Schiller University Jena</institution>
          ,
          <country country="DE">Germany</country>
        </aff>
        <aff id="aff11">
          <label>11</label>
          <institution>INRAE Centre Clermont-ARA, laboratoire TSCF</institution>
          ,
          <country country="FR">France</country>
        </aff>
        <aff id="aff12">
          <label>12</label>
          <institution>IRIT &amp; Universite ́ Toulouse II</institution>
          ,
          <addr-line>Toulouse</addr-line>
          ,
          <country country="FR">France</country>
        </aff>
        <aff id="aff13">
          <label>13</label>
          <institution>Information School, The University of Sheffield</institution>
          ,
          <addr-line>Sheffield</addr-line>
          ,
          <country country="UK">UK</country>
        </aff>
        <aff id="aff14">
          <label>14</label>
          <institution>Institute for Applied Informatics (InfAI), University of Leipzig</institution>
          ,
          <country country="DE">Germany</country>
        </aff>
        <aff id="aff15">
          <label>15</label>
          <institution>Institute of Computer Science-FORTH</institution>
          ,
          <addr-line>Heraklion</addr-line>
          ,
          <country country="GR">Greece</country>
        </aff>
        <aff id="aff16">
          <label>16</label>
          <institution>LASIGE, Faculdade de Cieˆncias, Universidade de Lisboa</institution>
          ,
          <country country="PT">Portugal</country>
        </aff>
        <aff id="aff17">
          <label>17</label>
          <institution>Linko ̈ping University &amp; Swedish e-Science Research Center</institution>
          ,
          <addr-line>Linko ̈ping</addr-line>
          ,
          <country country="SE">Sweden</country>
        </aff>
        <aff id="aff18">
          <label>18</label>
          <institution>Pistoia Alliance Inc.</institution>
          ,
          <country country="US">USA</country>
        </aff>
        <aff id="aff19">
          <label>19</label>
          <institution>Prague University of Economics and Business</institution>
          ,
          <country country="CZ">Czech Republic</country>
        </aff>
        <aff id="aff20">
          <label>20</label>
          <institution>Trentino Digitale SpA</institution>
          ,
          <addr-line>Trento</addr-line>
          ,
          <country country="IT">Italy</country>
        </aff>
        <aff id="aff21">
          <label>21</label>
          <institution>University Coˆte d'Azur</institution>
          ,
          <addr-line>CNRS, Inria</addr-line>
          ,
          <country country="FR">France</country>
        </aff>
        <aff id="aff22">
          <label>22</label>
          <institution>University of Ga ̈vle</institution>
          ,
          <country country="SE">Sweden</country>
        </aff>
        <aff id="aff23">
          <label>23</label>
          <institution>University of Mannheim</institution>
          ,
          <country country="DE">Germany</country>
        </aff>
      </contrib-group>
      <pub-date>
        <year>1933</year>
      </pub-date>
      <volume>8797</volume>
      <fpage>17</fpage>
      <lpage>32</lpage>
      <abstract>
        <p>The Ontology Alignment Evaluation Initiative (OAEI) aims at comparing ontology matching systems on precisely defined test cases. These test cases can be based on ontologies of different levels of complexity and use different evaluation modalities (e.g., blind evaluation, open evaluation, or consensus). The OAEI 2021 campaign offered 13 tracks and was attended by 21 participants. This paper is an overall presentation of that campaign.</p>
      </abstract>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>-</title>
      <p>The Ontology Alignment Evaluation Initiative1 (OAEI) is a coordinated international
initiative, which organizes the evaluation of an increasing number of ontology
matching systems [26, 28], and which has been run for seventeen years now. The main goal
of the OAEI is to compare systems and algorithms openly and on the same basis, in
order to allow anyone to draw conclusions about the best ontology matching strategies.
Furthermore, the ambition is that, from such evaluations, developers can improve their
systems and offer better tools that answer the evolving application needs.</p>
      <p>Two first events were organized in 2004: (i) the Information Interpretation and
Integration Conference (I3CON) held at the NIST Performance Metrics for Intelligent
Systems (PerMIS) workshop and (ii) the Ontology Alignment Contest held at the
Evaluation of Ontology-based Tools (EON) workshop of the annual International Semantic
Web Conference (ISWC) [63]. Then, a unique OAEI campaign occurred in 2005 at the
workshop on Integrating Ontologies held in conjunction with the International
Conference on Knowledge Capture (K-Cap) [7]. From 2006 until the present, the OAEI
campaigns were held at the Ontology Matching workshop, collocated with ISWC [55,
5, 4, 1, 2, 13, 18, 15, 3, 24, 23, 22, 11, 25, 27], which this year took place virtually 2.</p>
      <p>Since 2011, we have been using an environment for automatically processing
evaluations (Section 2.1) which was developed within the SEALS (Semantic Evaluation At
Large Scale) project3. SEALS provided a software infrastructure for automatically
executing evaluations and evaluation campaigns for typical semantic web tools, including
ontology matching. Since OAEI 2017, a novel evaluation environment, called HOBBIT
(Section 2.1), was adopted for the HOBBIT Link Discovery track, and later extended to
enable the evaluation of other tracks. Some tracks are run exclusively through SEALS
and others through HOBBIT, but several allow participants to choose the platform they
prefer. Since last year, the MELT framework [36] has been adopted in order to facilitate
the SEALS and HOBBIT wrapping and evaluation. This year, most tracks have adopted
MELT as their evaluation platform.</p>
      <p>This paper synthesizes the 2021 evaluation campaign and introduces the results
provided in the papers of the participants. The remainder of the paper is organized as
follows: in Section 2, we present the overall evaluation methodology; in Section 3 we
present the tracks and datasets; in Section 4 we present and discuss the results; and
ifnally, Section 5 discusses the lessons learned.
2
2.1</p>
    </sec>
    <sec id="sec-2">
      <title>Methodology</title>
      <sec id="sec-2-1">
        <title>Evaluation platforms</title>
        <p>The OAEI evaluation was carried out in one of three alternative platforms: the SEALS
client, the HOBBIT platform, or the MELT framework. All of them have the goal of
ensuring reproducibility and comparability of the results across matching systems. As
1 http://oaei.ontologymatching.org
2 http://om2021.ontologymatching.org
3 http://www.seals-project.eu
of this campaign, the use of the SEALS client and packaging format is deprecated in
favor for MELT, with the sole exception of the Interactive Matching track, as simulated
interactive matching is not yet supported by MELT.</p>
        <p>The SEALS client was developed in 2011. It is a Java-based command line interface
for ontology matching evaluation, which requires system developers to implement an
interface and to wrap their tools in a predefined way including all required libraries and
resources.</p>
        <p>The HOBBIT platform4 was introduced in 2017. It is a web interface for linked
data and ontology matching evaluation, which requires systems to be wrapped inside
docker containers and includes a SystemAdapter class, then being uploaded into the
HOBBIT platform [42].</p>
        <p>The MELT framework5 [36] was introduced in 2019 and is under active
development. It allows the development, evaluation, and packaging of matching systems
for evaluation interfaces like SEALS or HOBBIT. It further enables developers to use
Python or any other programming language in their matching systems, which
beforehand had been a hurdle for OAEI participants. A newly developed evaluation client6
allows track organizers to evaluate packaged systems whereby multiple submission
formats are supported such as SEALS packages or matchers implemented as Web service.</p>
        <p>All platforms compute the standard evaluation metrics against the reference
alignments: precision, recall, and F-measure. In test cases where different evaluation
modalities are required, evaluation was carried out a posteriori, using the alignments produced
by the matching systems.
2.2</p>
      </sec>
      <sec id="sec-2-2">
        <title>Submission formats</title>
        <p>
          This year, three submission formats were allowed: (
          <xref ref-type="bibr" rid="ref1">1</xref>
          ) SEALS package, (
          <xref ref-type="bibr" rid="ref2">2</xref>
          ) HOBBIT,
and (
          <xref ref-type="bibr" rid="ref3">3</xref>
          ) MELT Web interface. An increasing usage of other programming languages
than Java and increasing hardware requirements for matching systems was identified
as challenging issue in the OAEI 2020. For addressing this issue, this year, the MELT
Web interface was introduced. It mainly consists of a technology-independent HTTP
interface7 which participants can implement as they wish. Alternatively, they can use
the MELT framework to assist them, as it can be used to wrap any matching system as
docker container implementing the HTTP interface.
        </p>
        <p>This option was very popular in the 2021 campaign: 10 systems were submitted as
MELT Web docker container, 5 systems were submitted as SEALS package, 3 systems
were uploaded to the HOBBIT platform, and one system implemented the Web interface
directly and provided hosting for the system.
2.3</p>
      </sec>
      <sec id="sec-2-3">
        <title>OAEI campaign phases</title>
        <p>As in previous years, the OAEI 2021 campaign was divided into three phases:
preparatory, execution, and evaluation.
4 https://project-hobbit.eu/outcomes/hobbit-platform/
5 https://github.com/dwslab/melt
6 https://dwslab.github.io/melt/matcher-evaluation/client
7 https://dwslab.github.io/melt/matcher-packaging/web</p>
        <p>In the preparatory phase, the test cases were provided to participants in an initial
assessment period between June 15th and July 31st, 2021. The goal of this phase is to
ensure that the test cases make sense to participants, and give them the opportunity to
provide feedback to organizers on the test case as well as potentially report errors. At
the end of this phase, the final test base was frozen and released.</p>
        <p>During the ensuing execution phase, participants test and potentially develop their
matching systems to automatically match the test cases. Participants can self-evaluate
their results either by comparing their output with the reference alignments or by
using either of the evaluation platforms. They can tune their systems with respect to the
non-blind evaluation as long as they respect the rules of the OAEI. Participants were
required to register their systems by July 31st and make a preliminary evaluation by
August 30th. The execution phase was terminated on October 15th, 2021, at which date
participants had to submit the (near) final versions of their systems (SEALS-wrapped
and/or HOBBIT-wrapped).</p>
        <p>During the evaluation phase, systems were evaluated by all track organizers. In
case minor problems were found during the initial stages of this phase, they were
reported to the developers, who were given the opportunity to fix and resubmit their
systems. Initial results were provided directly to the participants, whereas final results for
most tracks were published on the respective OAEI web pages before the workshop.
3</p>
      </sec>
    </sec>
    <sec id="sec-3">
      <title>Tracks and test cases</title>
      <p>This year’s OAEI campaign consisted of 13 tracks gathering 38 test cases, all of which
included OWL ontologies to align.8 They can be grouped into:
– Schema matching tracks, which have as objective matching ontology classes and/or
properties.
– Instance matching tracks, which have as objective matching ontology instances.
– Instance and schema matching tracks, which involve both of the above.
– Complex matching tracks, which have as objective finding complex
correspondences between ontology entities.
– Interactive tracks, which simulate user interaction to enable the benchmarking of
interactive matching algorithms.</p>
      <p>The tracks are summarized in Table 1 and detailed in the following sections.
3.1</p>
      <sec id="sec-3-1">
        <title>Anatomy</title>
        <p>The anatomy track comprises a single test case consisting of matching two fragments
of biomedical ontologies which describe the human anatomy9 (3304 classes) and the
anatomy of the mouse10 (2744 classes). The evaluation is based on a manually curated
8 The Biodiversity and Ecology track also included SKOS thesauri.
9 www.cancer.gov/cancertopics/cancerlibrary/terminologyresources
10 http://www.informatics.jax.org/searches/AMA_form.shtml
=, &lt;=
=, &lt;=
=
=
=
=
=
=
=
=</p>
        <p>Instance Matching
[0 1]
[0 1]
[0 1]</p>
        <p>open
open+blind</p>
        <p>open</p>
        <sec id="sec-3-1-1">
          <title>Instance and Schema Matching</title>
          <p>= [0 1] open+blind</p>
        </sec>
        <sec id="sec-3-1-2">
          <title>Interactive Matching</title>
          <p>=, &lt;= [0 1]</p>
          <p>open</p>
          <p>Complex Matching
=, &lt;=, &gt;= [0 1] open+blind</p>
          <p>Test Cases Relations Confidence Evaluation Languages
(Tasks)
Open evaluation is made with already published reference alignments and blind evaluation is
made by organizers, either from reference alignments unknown to the participants or manually.
reference alignment. This dataset has been used since 2007 with some improvements
over the years [20].</p>
          <p>
            Systems are evaluated with the standard parameters of precision, recall, F-measure.
Additionally, recall+ is computed by excluding trivial correspondences (i.e.,
correspondences that have the same normalized label). Alignments are also checked for
coherence using the Pellet reasoner. The evaluation was carried out on a machine with a
5 core CPU @ 1.80 GHz with 16GB allocated RAM, using the MELT framework.
For some systems, the SEALS client has been used. However, the evaluation
parameters were computed a posteriori, after removing from the alignments produced
by the systems, correspondences expressing relations other than equivalence, as well
as trivial correspondences in the oboInOwl namespace (e.g., oboInOwl#Synonym =
oboInOwl#Synonym). The results obtained with the SEALS client vary in some cases
by 0.5% compared to the results presented in section 4.
3.2
The biodiversity and ecology (biodiv) track was motivated by the GFBio11 (The
German Federation for Biological Data) and AquaDiva12 projects, which aim at
providing semantically enriched data management solutions for data capture, annotation,
indexing and search [44, 46]. Since OAEI 2020 edition, we partnered with the D2KAB
project13, which develops the AgroPortal14 ontology repository, to include new
matching tasks involving important thesauri (originally developed in SKOS) in agronomy
and environmental sciences. The track features the three tasks also present in former
editions: matching the Environment Ontology (ENVO) to the Semantic Web for Earth
and Environment Technology Ontology (SWEET), the AGROVOC thesaurus to the US
National Agricultural Library Thesaurus (NALT) and the General Multilingual
Environmental Thesaurus (GEMET) to the Analysis and Experimentation on Ecosystems
thesaurus (ANAEETHES). This year, we address the alignment of two new biological
taxonomies with rather different but complementary scopes: the well-known NCBI
taxonomy (NCBITAXON), and TAXREF-LD [50], a more nfie-grained, manually curated
taxonomy that spans French metropolitan and overseas territories. A challenging aspect
is the discrepancies between (
            <xref ref-type="bibr" rid="ref1">1</xref>
            ) the size and scope of both taxonomies, and (
            <xref ref-type="bibr" rid="ref2">2</xref>
            ) the
RDF model to account for taxonomy and nomenclatural information. Table 2 presents
detailed information about the ontologies and thesauri used in this year OAEI edition.
          </p>
          <p>
            For ENVO-SWEET, we created the reference alignment following the same
procedure as in former editions. More details about the creation process can be found in [43].
For the thesauri AGROVOC, NALT, GEMET and ANEETHES, we created the
reference alignments using the Ontology Mapping Harvesting Tool (OMHT).15 OMHT
automatically extracts all declared mappings by developers inside an ontology or a thesauri
11 www.gfbio.org
12 www.aquadiva.uni-jena.de
13 www.d2kab.org
14 agroportal.lirmm.fr
15 https://github.com/agroportal/ontology_mapping_harvester
source file pulled out from AgroPortal or BioPortal 16. For NCBITAXON and
TAXREFLD, we created the reference alignments using Silk with a configuration that computes
matches based on the short scientific names (without date nor authority). The
configuration (
            <xref ref-type="bibr" rid="ref1">1</xref>
            ) selects only taxa from both ontologies with a taxonomic rank that is either
species or below (subspecies, varietas etc.); and (
            <xref ref-type="bibr" rid="ref2">2</xref>
            ) normalises scientific names using
taxonomic domain-specific rules so as to work around most names syntactic variations.
This normalisation is implemented as a Silk plugin.17
3.3
          </p>
        </sec>
      </sec>
      <sec id="sec-3-2">
        <title>Common Knowledge Graphs</title>
        <p>The new Common Knowledge Graphs track evaluates the ability of matching systems
to match the schema (classes) in large cross-domain knowledge graphs such as
DBpedia [8], YAGO [62] and NELL [12]. The dataset used for the evaluation is generated
from DBpedia and the Never-Ending Language Learner (NELL). While DBpedia is
generated from structured data in Wikipedia’s articles, NELL is an automatically
generated knowledge graph with entities extracted from large-scale text corpus shared on
websites. The automatic extraction process is one of the aspects that make common
knowledge graphs different from ontologies, as they often result in less well-formatted
and cross-domain datasets.</p>
        <p>The evaluation is based on a gold standard of class correspondences from the two
knowledge graphs [29]. Those correspondences were human annotated and verified by
experts. This gold standard is only a partial gold standard, since not every class in each
knowledge graph has an equivalent class in the opposite one. To avoid over-penalising
matchers that may discover reasonable matches that are not included in the partial gold
standard, our evaluation ignores any predicted matches where neither of the classes in
that pair exists in a true positive pair with another class in the reference alignments.
With the respect to the reference alignment, matching systems were evaluated using
standard precision, recall and f-measure. The evaluation was carried out on a Linux
virtual machine with 128 GB of RAM and 16 vCPUs (2.4 GHz) processors. The
evaluation was performed using MELT for matchers wrapped using both SEALS, and the
web packaging via Docker. As baseline, we utilize a simple string matcher which is
available through MELT.
3.4</p>
      </sec>
      <sec id="sec-3-3">
        <title>Conference</title>
        <p>The conference track feature two test cases. The main test case is a suite of 21 matching
tasks corresponding to the pairwise combination of 7 moderately expressive
ontologies describing the domain of organizing conferences. The dataset and its usage are
described in [64]. This year we prepared a second test case consisting of a suite of three
tasks of matching DBpedia ontology (filtered to the dbpedia namespace) and three
ontologies from the conference domain.</p>
        <p>For the main test case the track uses several reference alignments for evaluation:
the old (and not fully complete) manually curated open reference alignment, ra1; an
16 https://bioportal.bioontology.org
17 https://github.com/frmichel/taxrefmatch-silk-plugin
extended, also manually curated version of this alignment, ra2; a version of the latter
corrected to resolve violations of conservativity, rar2; and an uncertain version of ra1
produced through crowd-sourcing, where the score of each correspondence is the
fraction of people in the evaluation group that agree with the correspondence. The latter
reference was used in two evaluation modalities: discrete and continuous evaluation. In
the former, correspondences in the uncertain reference alignment with a score of at least
0.5 are treated as correct whereas those with lower score are treated as incorrect, and
standard evaluation parameters are used to evaluated systems. In the latter, weighted
precision, recall and F-measure values are computed by taking into consideration the
actual scores of the uncertain reference, as well as the scores generated by the matching
system. For the sharp reference alignments (ra1, ra2 and rar2), the evaluation is based
on the standard parameters, as well the F0.5-measure and F2-measure and on
conservativity and consistency violations. Whereas F1 is the harmonic mean of precision and
recall where both receive equal weight, F2 gives higher weight to recall than precision
and F0.5 gives higher weight to precision higher than recall. The second test case
contains open reference alignment and systems were evaluated using the standard metrics.</p>
        <p>Two baseline matchers are used to benchmark the systems: edna string edit distance
matcher; and StringEquiv string equivalence matcher as in the anatomy test case.
3.5</p>
      </sec>
      <sec id="sec-3-4">
        <title>Disease and Phenotype</title>
        <p>The Disease and Phenotype is organized by the Pistoia Alliance Ontologies Mapping
project team18. It comprises 2 test cases that involve 4 biomedical ontologies
covering the disease and phenotype domains: Human Phenotype Ontology (HP) versus
Mammalian Phenotype Ontology (MP) and Human Disease Ontology (DOID) versus
Orphanet and Rare Diseases Ontology (ORDO). Currently, correspondences between
these ontologies are mostly curated by bioinformatics and disease experts who would
benefit from automation of their workflows supported by implementation of
ontology matching algorithms. More details about the Pistoia Alliance Ontologies Mapping
project and the OAEI evaluation are available in [32]. Table 3 summarizes the versions
of the ontologies used in OAEI 2021.</p>
        <p>The reference alignments used in this track are silver standard consensus
alignments automatically built by merging/voting the outputs of the participating systems
in the OAEI campaigns 2016-2021 (with vote=3). Note that systems participating with
18 http://www.pistoiaalliance.org/projects/ontologies-mapping/
different variants and in different years only contributed once in the voting, that is, the
voting was done by family of systems/variants rather than by individual systems. The
HP-MP silver standard in the OAEI 2021 thus contains 2,570 correspondences, whereas
the DOID-ORDO one contains 3,967 correspondences.</p>
        <p>Systems were evaluated using the standard parameters as well as the (approximate)
number of unsatisfiable classes computed using the OWL 2 EL reasoner ELK [45]. The
evaluation was carried out in a Ubuntu 18 Laptop with an Intel Core i5-6300HQ CPU
@ 2.30GHz x 4 and allocating 15 Gb of RAM.
3.6</p>
      </sec>
      <sec id="sec-3-5">
        <title>Large Biomedical Ontologies</title>
        <p>The large biomedical ontologies (largebio) track aims at finding alignments between
the large and semantically rich biomedical ontologies FMA, SNOMED-CT, and NCI,
which contain 78,989, 306,591 and 66,724 classes, respectively. The track consists of
six test cases corresponding to three matching problems (FMA-NCI, FMA-SNOMED
and SNOMED-NCI) in two modalities: small overlapping fragments and whole
ontologies (FMA and NCI) or large fragments (SNOMED-CT).</p>
        <p>The reference alignments used in this track are derived directly from the UMLS
Metathesaurus [9] as detailed in [40], then automatically repaired to ensure logical
coherence. However, rather than use a standard repair procedure of removing
problem causing correspondences, we set the relation of such correspondences to “?”
(unknown). These “?” correspondences are neither considered positive nor negative when
evaluating matching systems, but are simply ignored. This way, systems that do not
perform alignment repair are not penalized for finding correspondences that (despite
causing incoherences) may or may not be correct, and systems that do perform alignment
repair are not penalized for removing such correspondences. To avoid any bias,
correspondences were considered problem causing if they were selected for removal by any
of the three established repair algorithms: Alcomo [48], LogMap [39], or AML [56].
The reference alignments are summarized in Table 4.</p>
        <p>The evaluation was carried out in a Ubuntu 18 Laptop with an Intel Core i5-6300HQ
CPU @ 2.30GHz x 4 and allocating 15 Gb of RAM. Evaluation was based on the
standard parameters (modified to account for the “?” relations) as well as the number
of unsatisfiable classes and the ratio of unsatisfiable classes with respect to the size of
the union of the input ontologies. Unsatisfiable classes were computed using the OWL
2 reasoner HermiT [51], or, in the cases in which HermiT could not cope with the
input ontologies and the alignments (in less than 2 hours) a lower bound on the number
of unsatisfiable classes (indicated by ≥ ) was computed using the OWL2 EL reasoner
ELK [45].
The multifarm track [49] aims at evaluating the ability of matching systems to deal with
ontologies in different natural languages. This dataset results from the translation of 7
ontologies from the conference track (cmt, conference, confOf, iasted, sigkdd, ekaw and
edas) into 10 languages: Arabic (ar), Chinese (cn), Czech (cz), Dutch (nl), French (fr),
German (de), Italian (it), Portuguese (pt), Russian (ru), and Spanish (es). The dataset
is composed of 55 pairs of languages, with 49 matching tasks for each of them, taking
into account the alignment direction (e.g. cmten →edasde and cmtde →edasen are
distinct matching tasks). While part of the dataset is openly available, all matching tasks
involving the edas and ekaw ontologies (resulting in 55 × 24 matching tasks) are used
for blind evaluation.</p>
        <p>We consider two test cases: i) those tasks where two different ontologies
(cmt→edas, for instance) have been translated into two different languages; and ii)
those tasks where the same ontology (cmt→cmt) has been translated into two
different languages. For the tasks of type ii), good results are not only related to the use of
specific techniques for dealing with cross-lingual ontologies, but also on the ability to
exploit the identical structure of the ontologies.</p>
        <p>The reference alignments used in this track derive directly from the manually
curated Conference ra1 reference alignments. In 2021, alignments have been manually
evaluated by domain experts. The evaluation is blind. The systems have been executed
on a Ubuntu Linux machine configured with 32GB of RAM running under a Intel Core
CPU 2.00GHz x8 cores.
The Link Discovery track features Spatial test case this year, that deal with link
discovery for spatial data represented as trajectories i.e., sequences of longitude, latitude
pairs. The track is based on two datasets generated from TomTom19 and Spaten [17].</p>
        <p>The Spatial test case aims at testing the performance of systems that deal with
topological relations proposed in the state of the art DE-9IM (Dimensionally Extended
nine-Intersection Model) model [61]. The benchmark generator behind this test case
implements all topological relations of DE-9IM between trajectories in the two
dimensional space. To the best of our knowledge such a generic benchmark, that takes as
input trajectories and checks the performance of linking systems for spatial data does
not exist. The focus for the design was (a) on the correct implementation of all the
topological relations of the DE-9IM topological model and (b) on producing datasets large
enough to stress the systems under test. The supported relations are: Equals, Disjoint,
Touches, Contains/Within, Covers/CoveredBy, Intersects, Crosses, Overlaps. The test
case comprises tasks for all the DE-9IM relations and for LineString/LineString and
19 https://www.tomtom.com/en_gr/
LineString/Polygon cases, for both TomTom and Spaten datasets, ranging from 200 to
2K instances.</p>
        <p>We did not exceed 64 KB per instance due to a limitation of the Silk system20 and
run all the systems using a single core in order to enable a fair comparison of the systems
participating in this track. But we can not fail to mention that Silk and DS-JedAI have
a multi core version as well as that DS-JedAI’s time performance also includes Spark
start-up time.</p>
        <p>The evaluation was carried out using the HOBBIT platform.
3.9</p>
      </sec>
      <sec id="sec-3-6">
        <title>SPIMBENCH</title>
        <p>The SPIMBENCH track consists of matching instances that are found to refer to the
same real-world entity corresponding to a creative work (that can be a news item,
blog post or programme). The datasets were generated and transformed using
SPIMBENCH [58] by altering a set of original linked data through value-based,
structurebased, and semantics-aware transformations (simple combination of transformations).
They share almost the same ontology (with some differences in property level, due
to the structure-based transformations), which describes instances using 22 classes, 31
data properties, and 85 object properties. Participants are requested to produce a set of
correspondences between the pairs of matching instances from the source and target
datasets that are found to refer to the same real-world entity. An instance in the source
dataset can have none or one matching counterpart in the target dataset. The
SPIMBENCH task uses two sets of datasets21 with different scales (i.e., number of instances
to match):
– Sandbox (380 INSTANCES, 10000 TRIPLES). It contains two datasets called
source (Tbox1) and target (Tbox2) as well as the set of expected correspondences
(i.e., reference alignment).
– Mainbox (1800 CWs, 50000 TRIPLES). It contains two datasets called source
(Tbox1) and target (Tbox2). This test case is blind, meaning that the reference
alignment is not given to the participants.</p>
        <p>In both cases, the goal is to discover the correspondences among the instances in the
source dataset (Tbox1) and the instances in the target dataset (Tbox2).</p>
        <p>The evaluation was carried out using the HOBBIT platform.
3.10</p>
      </sec>
      <sec id="sec-3-7">
        <title>Geolink Cruise</title>
        <p>The Geolink Cruise track consists of matching instances from different ontologies
describing the same cruise in the real-world. The datasets are collected from the Geolink
project,22 which was funded under the U.S. National Science Foundation’s EarthCube
initiative. The datasets and alignments are guaranteed to contain real-world use cases to
solve the instance matching problem in practice. In the GeoLink Cruise dataset, there
20 https://github.com/silk-framework/silk/issues/57
21 Although the files are called Tbox1 and Tbox2, they actually contain a Tbox and an Abox.
22 https://www.geolink.org/
are two ontologies which are GeoLink Base Ontology (gbo) and GeoLink Modular
Ontology (gmo). The data providers from different organizations populate their own
data into these two ontologies. In this track, we utilize instances from two different
data providers, Biological and Chemical Oceanography Data Management Office
(bcodmo)23 and Rolling Deck to Repository (r2r)24 and populate all the triples related to
Cruise into two ontologies. There are 491 Cruise pairs between these two datasets that
are labelled by domain experts as equivalent. Some statistic information of the
ontologies are listed in the Table 5. More details of this benchmark can be found in the paper
[6].
3.11</p>
      </sec>
      <sec id="sec-3-8">
        <title>Knowledge Graph</title>
        <p>The Knowledge Graph track was run for the fourth year. The task of the track is to match
pairs of knowledge graphs, whose schema and instances have to be matched
simultaneously. The individual knowledge graphs are created by running the DBpedia extraction
framework on eight different Wikis from the Fandom Wiki hosting platform25 in the
course of the DBkWik project [35, 34]. They cover different topics (movies, games,
comics and books) and three Knowledge Graph clusters sharing the same domain e.g.
star trek, as shown in Table 6.</p>
        <p>The evaluation is based on reference correspondences at both schema and instance
levels. While the schema level correspondences were created by experts, the instance
correspondences were extracted from the wiki page itself. Due to the fact that not all
inter wiki links on a page represent the same concept a few restrictions were made: 1)
only links in sections with a header containing “link” are used, 2) all links are removed
where the source page links to more than one concept in another wiki (ensures the
alignments are functional), 3) multiple links which point to the same concept are also
removed (ensures injectivity), 4) links to disambiguation pages were manually checked
and corrected. Since we do not have a correspondence for each instance, class, and
property in the graphs, this gold standard is only a partial gold standard.</p>
        <p>The evaluation was executed on a virtual machine (VM) with 32GB of RAM and
16 vCPUs (2.4 GHz), with Debian 9 operating system and Openjdk version 1.8.0 265.
For evaluating all possible submission formats, MELT framework is used. The
corresponding code for evaluation can be found on Github26.
23 https://www.bco-dmo.org/
24 https://www.rvdata.us/
25 https://www.wikia.com/
26 https://github.com/dwslab/melt/tree/master/examples/kgEvalCli</p>
        <p>The alignments were evaluated based on precision, recall, and f-measure for classes,
properties, and instances (each in isolation). The partial gold standard contained 1:1
correspondences and we further assume that in each knowledge graph, only one
representation of the concept exists. This means that if we have a correspondence in our
gold standard, we count a correspondence to a different concept as a false positive. The
count of false negatives is only increased if we have a 1:1 correspondence and it is not
found by a matcher.</p>
        <p>As a baseline, we employed two simple string matching approaches. The source
code for these matchers is publicly available.27</p>
      </sec>
      <sec id="sec-3-9">
        <title>3.12 Interactive Matching</title>
        <p>The interactive matching track aims to assess the performance of semi-automated
matching systems by simulating user interaction [53, 19, 47]. The evaluation thus
focuses on how interaction with the user improves the matching results. Currently, this
track does not evaluate the user experience or the user interfaces of the systems [37,
19].</p>
        <p>The interactive matching track is based on the datasets from the Anatomy and
Conference tracks, which have been previously described. It relies on the SEALS client’s
Oracle class to simulate user interactions. An interactive matching system can present
a collection of correspondences simultaneously to the oracle, which will tell the system
whether that correspondence is correct or not. If a system presents up to three
correspondences together and each correspondence presented has a mapped entity (i.e., class
or property) in common with at least one other correspondence presented, the oracle
counts this as a single interaction, under the rationale that this corresponds to a
scenario where a user is asked to choose between conflicting candidate correspondences.
To simulate the possibility of user errors, the oracle can be set to reply with a given
error probability (randomly, from a uniform distribution). We evaluated systems with
four different error rates: 0.0 (perfect user), 0.1, 0.2, and 0.3.
27 http://oaei.ontologymatching.org/2019/results/knowledgegraph/
kgBaselineMatchers.zip</p>
        <p>In addition to the standard evaluation parameters, we also compute the number of
requests made by the system, the total number of distinct correspondences asked, the
number of positive and negative answers from the oracle, the performance of the system
according to the oracle (to assess the impact of the oracle errors on the system) and
ifnally, the performance of the oracle itself (to assess how erroneous it was).</p>
        <p>The evaluation was carried out on a server with 3.46 GHz (6 cores) and 8GB RAM
allocated to the matching systems. For systems requiring more RAM, the evaluation
was carried out on a computer with an AMD Ryzen 7 5700G 3.80 GHz CPU and 32GB
RAM, with 10GB of max heap space allocated to java.Each system was run ten times
and the final result of a system for each error rate represents the average of these runs.
For the Conference dataset with the ra1 alignment, precision and recall correspond to
the micro-average over all ontology pairs, whereas the number of interactions is the
total number of interactions for all the pairs.
3.13</p>
      </sec>
      <sec id="sec-3-10">
        <title>Complex Matching</title>
        <p>The complex matching track is meant to evaluate the matchers based on their
ability to generate complex alignments. A complex alignment is composed of
complex correspondences typically involving more than two ontology entities, such as
o1:AcceptedPaper ≡ o2:Paper ⊓ o2:hasDecision.o2:Acceptance.</p>
        <p>The Conference dataset is composed of three ontologies: cmt, conference and ekaw
from the conference dataset. The reference alignment was created as a consensus
between experts. In the evaluation process, the matchers can take the simple reference
alignment ra1 as input. The precision and recall measures are manually calculated over
the complex equivalence correspondences only.</p>
        <p>The Hydrography dataset consists of matching four different source ontologies
(hydro3, hydrOntology-translated, hydrOntology-native, and cree) to a single target
ontology (SWO) [14]. The evaluation process is based on three subtasks: given an entity
from the source ontology, identify all related entities in the source and target ontology;
given an entity in the source ontology and the set of related entities, identify the logical
relation that holds between them; identify the full complex correspondences. The three
subtasks were evaluated based on relaxed precision and recall [21].</p>
        <p>The GeoLink dataset derives from the homonymous project, funded under the U.S.
National Science Foundation’s EarthCube initiative. It is composed of two ontologies:
the GeoLink Base Ontology (GBO) and the GeoLink Modular Ontology (GMO). The
GeoLink project is a real-world use case of ontologies. The alignment between the two
ontologies was developed in consultation with domain experts from several geoscience
research institutions. More detailed information on this benchmark can be found in [66].
Evaluation was done in the same way as with the Hydrography dataset.</p>
        <p>The Populated GeoLink dataset is designed to allow alignment systems that rely
on the instance data to participate over the Geolink benchmark. The instance data are
real-world data and collected from seven data repositories in the Geolink project. More
detailed information on this benchmark can be found in [67]. Evaluation was done in
the same way as with the Hydrography dataset.</p>
        <p>The Populated Enslaved dataset was derived from the ongoing project entitled
“Enslaved: People of the Historical Slave Trade28 and funded by The Andrew W.
Mellon Foundation where the focus is on tracking the movements and details of peoples
in the historical slave trade. It is composed of the Enslaved ontology and the Enslaved
Wikibase repository along with the populated instance data. To the best of our
knowledge, it is the first attempt to align a modular ontology to the Wikibase repository. More
detailed information on this benchmark can be found in [65]. Evaluation was done in
the same way as with the Hydrography dataset.</p>
        <p>The Taxon dataset is composed of four knowledge bases containing knowledge
about plant taxonomy: AgronomicTaxon, AGROVOC, TAXREF-LD and DBpedia. The
alignment systems have been executed on a Ubuntu Linux machine configured with
32GB of RAM running under a Intel Core CPU 2.00GHz x8 cores. All measurements
are based on a single run.
4</p>
      </sec>
    </sec>
    <sec id="sec-4">
      <title>Results and Discussion</title>
      <sec id="sec-4-1">
        <title>Participation</title>
        <p>Following an initial period of growth, the number of OAEI participants has remained
approximately constant since 2012, at slightly over 20. This year we count with 21
participating systems. Table 7 lists the participants and the tracks in which they competed.
Some matching systems participated with different variants (AML, LogMap) whereas
others were evaluated with different configurations, as requested by developers (see test
case sections for details). The following sections summarise the results for each track.
4.2
The results for the Anatomy track are shown in Table 8. Of the 15 systems participating
in the Anatomy track, 13 achieved an F-measure higher than the StringEquiv baseline.
Five systems were first time participants (TOM, Fine-TOM, LSMatch, OTMapOnto and
AMD). Long-term participating systems showed few changes in comparison with
previous years with respect to alignment quality (precision, recall, F-measure, and recall+),
size and run time. The exceptions were ALIN which decreased in precision (from 0.986
to 0.983) and increased in size (from 1107 to 1119) and recall+ (from 0.382 to 0.438),
and LogMapBio which decreased in precision (from 0.885 to 0.874) and increased in
size (from 1544 to 1586), recall (from 0.902 to 0.914) and recall+ (from 0.74 to 0.773).
In terms of run time, 6 out of 15 systems computed an alignment in less than 100
seconds. LogMapLite remains the system with the shortest runtime. Regarding quality,
AML remains the system with the highest F-measure (0.941) and recall+ (0.81), but
3 other systems obtained an F-measure above 0.88 (Lily, LogMapBio, and LogMap)
which is at least as good as the best systems in OAEI 2007-2010. Like in previous
years, there is no significant correlation between the quality of the generated alignment
and the run time. Three systems produced coherent alignments.
28 https://enslaved.org/</p>
        <p>Confidence</p>
        <p>anatomy
conference
multifarm</p>
        <p>complex
interactive</p>
        <p>largebio
phenotype
biodiv</p>
        <p>mse
commonKG</p>
        <p>spimbench
link discovery
geolink cruise
knowledge graph</p>
        <sec id="sec-4-1-1">
          <title>System</title>
          <p>AML
Lily
LogMapBio
LogMap
Fine-TOM
GMap
TOM</p>
        </sec>
        <sec id="sec-4-1-2">
          <title>ALIN AMD Wiktionary</title>
        </sec>
        <sec id="sec-4-1-3">
          <title>LogMapLite</title>
          <p>ALOD2Vec
ATMatcher
StringEquiv
LSMatch
OTMapOnto
c
e
V</p>
          <p>D
#
#
#
#</p>
          <p>#
# #</p>
          <p># #
# #G #
# #G #
# #G #
# # #
# # #
15068
32
430
1043</p>
          <p>7
2362
2647
493
2190
261
146</p>
          <p>98
1471
1517
1586
1402
1313
1344
1315
1194
1119
1403
1037
946
940
3 1167
2 1147
16 1903
L h O</p>
          <p>AD ilk</p>
          <p>OM tk
r
h
c
t
2
1
=
l
a
t
o
S</p>
          <p>A A A A A A A D F G K L L L L L O R S T W
eh I
M -J
#
#
# #
# #
# #</p>
          <p>#
# # # # #
# # G# # G# #
# # G# # G# #
# # G# # # # G# #
# #</p>
          <p># # #
# # # # # # #
#
#
#
#
#
#
#G
# #
# #
# # # # #
#G #G # # G# G#
# # #</p>
          <p>#
# # # # # #
# #</p>
          <p># # #
# # # # # # # #
15
14
12
12
6
3
3
7
0
9
3
4
0
11
# # # # # # # # # # # # # # # # # # # # #
# # #
# # # # # # # # #
# #
# # # # # # # # # # # # # # # # # # # # #
#G
# #
#
#
# #
#G # #
total 2 8 5 11 1 1 8 1 5 2 6 3 10 4 6 6 5 1 1 5 6 98
number of correspondences in the generated alignment.</p>
        </sec>
        <sec id="sec-4-1-4">
          <title>Runtime</title>
        </sec>
        <sec id="sec-4-1-5">
          <title>Size Precision</title>
        </sec>
        <sec id="sec-4-1-6">
          <title>F-measure</title>
        </sec>
        <sec id="sec-4-1-7">
          <title>Recall Recall+ Coherent 0.956 0.901</title>
          <p>This year, we have seven track participating systems. AML, ATMatcher, the LogMap
family systems (LogMap, LogMapBio and LogMapLT), ALOD2Vec and KGMatcher
AML
LogMap
LogMapLt
ATMatcher
KGMatcher
AML
ATMatcher
LogMapLt
LogMapBio
LogMap
ALOD2Vec
KGMatcher
AML
47
13
732
6
32</p>
        </sec>
        <sec id="sec-4-1-8">
          <title>Number of Precision</title>
          <p>mappings
managed to generate an output for at least one of the track tasks. As in previous editions,
we used precision, recall and F-measure to evaluate the performance of the participating
systems. The results for the Biodiversity and Ecology track are shown in Table 9.</p>
          <p>In comparison to the previous year, roughly the same number of systems succeeded
to generate alignments for the track tasks. Alongside AML and the LogMap variants,
ATMatcher could cope with the tasks with fair results. KGMatcher generated a very low
number of mappings and ALOD2Vec, a huge set of non meaningful mappings. Both led
to a very low F-measure as shown in Table 9.</p>
          <p>The results of the participating systems have slightly decreased in terms of
Fmeasure for the two first tasks compared to last year. In terms of run time, LogMap
and LogMapBio took the longer due to the loading of mediating ontologies from
BioPortal.</p>
          <p>Regarding the ENVO-SWEET task, AML ranked first in terms of F-measure,
followed by LogMap, LogMapLt and ATMatcher. The systems with the highest precision
(LogMapLt and ATMatcher) achieve a similar lower recall. AML generated a bigger
mapping set with a high number of subsumption mappings, it still achieved the best
F-Measure for the task. It is worth nothing that due the specific structure of the SWEET
ontology, a lot of the false positives come from homonyms [43].</p>
          <p>The ANAEETHES-GEMET and AGROVOC-NALT matching tasks have the
particularity of being resources developed in SKOS. Only AML could handle the files in their
original format. LogMap and its variants could generate mappings for
ANAEETHESGEMET, based on ontology files resulting from an automatic transformation of SKOS
ifles into OWL. For the transformation, we made use of a source code 29 that was
directly derived from the AML ontology parsing module, kindly provided to us by its
developers.</p>
          <p>For ANAEETHES-GEMET, AML achieved the best results followed by
ATMatcher. LogMap and LogMapBio took a much longer time due to downloading 10
mediating ontologies from BioPortal, still the gain in terms of performance was not
significant. Both systems generated a big number of mappings with a very low precision.</p>
          <p>The AGROVOC-NALT task has been managed only by AML with good results.
It generated a higher number of mappings (around 2000 more) than the curated
reference alignment. We performed a manual assessment of a subset of those mappings to
reevaluate the precision and F-measure. All other systems failed in generating mappings
on both the SKOS and OWL versions of the thesauri. This year’s newly introduced task
NCBITAXON-TAXREF-LD could not be managed by any of the participating systems,
due to the very large size of the considered ontologies. We plan to submit targeted
subsets of the ontologies for the upcoming edition of OAEI.</p>
          <p>Overall, in this third evaluation, the results obtained from participating systems
remained similar with a slight decrease in terms of F-measure compared to last year.
The results of the SKOS tasks demonstrate that systems (beside AML) are not ready to
handle SKOS. By transforming the files to OWL, we could run additional systems on
the tasks. Still, a native handling of SKOS and the ability to cope with SKOS thesauri
specificities, like SKOS-XL lexical entities, would lead to better results.
4.4</p>
        </sec>
      </sec>
      <sec id="sec-4-2">
        <title>Common Knowledge Graphs</title>
        <p>We evaluated all the participated systems that were packaged as SEALS packages or as
web services using Docker (even those not registered to participate on this new track).
Although a total of 17 OAEI participants were initially evaluated, not all systems were
able to handle the task. While some systems finished with an empty alignment file,
others were unable to finish the task within the 12 hours timeout. Therefore, here we
include the results of 9 matchers that were able to finish the task within the time limit
with a non-empty alignment file which are: AML, LogMap, ALOD2Vec, OTMapOnto,
KGMatcher, Wiktionary, AMD, ATmatcher, and LsMatch.</p>
        <p>The resulted alignment files from all the participating matchers are available to
download on the track’s result webpage30. All matchers were able to discover class
alignments, except for AML, which has only produced instance alignments. AMD was
able to finish the task and discovered some class alignments, however, those alignments
were not annotated properly for the evaluation code to process them.</p>
        <p>Table 10 shows the result for each of the participated systems. The size column
indicates the total number of class correspondences discovered by each system. With
regard to f-measure, KGMatcher is the best performing matcher with an f-measure
of 0.94 followed by ALOD2Vec, Wiktionary and ATmatcher that have obtained an
fmeasure of 0.89. In terms of precision, ALOD2Vec, Wiktionary and ATmatcher have
29 http://oaei.ontologymatching.org/2021/biodiv/code/SKOS2OWL.zip
30 https://oaei.ontologymatching.org/2021/results/commonKG/index.
html
produced the most precise alignments followed by LogMap (0.99). In terms of recall,
one can also observe that most systems have privileged precision over recall, except
for KGMatcher (0.91) and OTMapOnto (0.84). Both systems utilize word embeddings
for the matching process to discover pairs with semantic similarity. While KGMatcher
uses pre-trained word embeddings to map classes based on the similarity of their
instances, the latter uses pre-trained language models to represent entities before
measuring the distances between the two embeddings. Both matchers were able to
discover non-trivial matches such as placeofworship = ReligiousBuilding,
hobby = Activity, and bombingevent = Attack.</p>
        <p>With respect to runtime, KGMatcher was the slowest system, followed by AMD
and LsMatch. The shortest runtime was observed with ATmatcher and LogMap with
less than 4 minutes. The size of the two knowledge graphs has caused a problem for
some matchers that were unable to finish the task within the allocated time.
The conference evaluation results using the sharp reference alignment rar2 are shown
in Table 11. For the sake of brevity, only results with this reference alignment and
considering both classes and properties are shown. For more detailed evaluation results,
please check conference track’s web page.</p>
        <p>With regard to two baselines we can group tools according to system’s position:
nine systems outperformed both baselines (ALOD2Vec, AML, ATMatcher, Fine-TOM,
GMap, LogMap, LogMapLt, TOM and Wiktionary); two systems performed better than
StringEquiv baseline (AMD, LSMatch), and three systems performed worse than both
baselines (KGMatcher, Lily and OTMapOnto). Five matchers (AMD, ATMatcher,
KGMatcher, Lily31, LSMatch) do not match properties at all. Naturally, this has a negative
effect on their overall performance.</p>
        <p>The performance of all matching systems regarding their precision, recall and
F1measure is plotted in Figure 1. Systems are represented as squares or triangles, whereas
the baselines are represented as circles.
31 Lily only outputs 15 out of 21 pair alignments.</p>
        <p>System</p>
        <p>AML
LogMap</p>
        <p>GMap
ATMatcher
Wiktionary
Fine-TOM</p>
        <p>TOM
ALOD2Vec</p>
        <p>edna
LogMapLt
LSMatch</p>
        <p>AMD
StringEquiv
KGMatcher</p>
        <p>Lily
OTMapOnto</p>
        <p>With respect to logical coherence [59, 60], comparing to the last year, more
systems (AMD, AML, KGMatcher, LogMap and LSMatch) have no consistency principle
violation.</p>
        <p>The Conference evaluation results using the uncertain reference alignments are
presented in Table 12. Out of the 14 alignment systems, 6 (AMD, KGMatcher, LogMapLt,
LSMatcher, OTMapOnto, TOM) use 1.0 as the confidence value for all matches they
identify. The remaining 8 systems (ALOD2Vec, AML, ATMatcher, Fine-TOM, GMap,
Lily, LogMap, Wiktionary) have a wide variation of confidence values.</p>
        <p>When comparing the performance of the matchers on the uncertain reference
alignments versus that on the sharp version, we see that in the discrete case all matchers,
except Lily and OTMapOnto, performed the same or better in terms of F-measure (Lily’s
F-measure dropped almost to 0, and OTMapOnto’s F-measure slightly dropped from
0.35 to 0.33). Changes in F-measure of discrete cases ranged from -1 to 16 percent
over the sharp reference alignment. This was predominantly driven by increased
recall, which is a result of the presence of fewer ’controversial’ matches in the uncertain
version of the reference alignment.</p>
        <p>The performance of the matchers with confidence values always 1.0 is very similar
regardless of whether a discrete or continuous evaluation methodology is used, because
many of the matches they find are the ones that the experts had high agreement about,
while the ones they missed were the more controversial matches. AML produces a fairly
wide range of confidence values and has the highest F-measure under both the
continuous and discrete evaluation methodologies, indicating that this system’s confidence
evaluation does a good job of reflecting cohesion among experts on this task. Of the
matching techniques using a translation module, with an emphasis on the use of
background knowledge.The tool also includes structural components for both matching and
ifltering steps and features a logical repair algorithm. LogMap uses a lexical inverted
index to compute the initial set of mappings which are then supported by logic based
extractions with built-in reasoning and repair diagnosis capabilities. On the other hand
LogMapLt (Logmap “lightweight”) essentially only applies (efficient) string matching
techniques for a lightweight and fast computation. Wiktionary matcher is based on an
online lexical resource, namely Wiktionary but also utilizes the schema matching and
produces an explanation for the discovered correspondence. The reader can refer to the
OAEI papers34 for a detailed description of the strategies adopted by each system.</p>
        <p>The Multifarm evaluation results based on the blind dataset are presented in
Table 16 demonstrating the aggregated results for the matching tasks. They have been
computed using the MELT framework without applying any threshold on the results.
They are measured in terms of macro precision and recall. The results of non-specific
systems are not reported here, as we could observe in the last campaigns that they can
have intermediate results in tests of type ii) (same ontologies task) and poor
performance in tests i) (different ontologies task).The detailed results can be investigated on
the page of multifarm track results35. In terms of runtime, the results are not comparable
to those from last year as the systems have been run in a different environment in terms
of memory and number of processors. On the other hand, this year MELT framework
was used instead of SEAL which was used last year.</p>
        <p>AML outperforms all other systems in terms of F-measure (0.47) (same behaviour
in the last campaigns), followed by LogMap (0.44). In terms of precision, Logmap is
the system that generates the most precise alignments, very closely followed by AML,
and Wiktionary. Comparing the results from last year [55], in terms F-measure (cases of
type i), AML maintains its overall performance (.47 in 2020, .45 in 2019, .46 in 2018,
.46 in 2017, .45 in 2016 and .47 in 2015). On the other hand, LogMap has slightly
increased its F-measure to 0.44 (.37 in 2020, .37 in 2019, .37 in 2018, .36 in 2017, and
34 http://om2021.ontologymatching.org/
35 http://oaei.ontologymatching.org/2021/results/multifarm/index.</p>
        <p>html
.37 in 2016). The performance in terms of f-measure of Wiktionary slightly increases
F-measure to 0.35 (.32 in 2020, .31 in 2019).</p>
        <p>Overall, the F-measure for blind tests remains relatively stable across campaigns. As
observed in previous campaigns, systems still privilege precision over recall.
Furthermore, the overall results in MultiFarm are lower than the ones obtained for the original
English version of the Conference dataset.
This year the Link Discovery track counted four participants: AML, DS-JedAI, Silk
and RADON. DS-JedAI participated for the first time and Silk joined with the latest
version.</p>
        <p>We divided the Spatial test cases into four suites. In the first two suites (SLL and
LLL), the systems were asked to match LineStrings to LineStrings considering a given
relation for 200 and 2K instances for the TomTom and Spaten datasets. In the last two
tasks (SLP, LLP), the systems were asked to match LineStrings to Polygons (or
Polygons to LineStrings depending on the relation) again for both datasets. Since the
precision, recall and F-measure results from all systems were equal to 1.0, we are only
presenting results regarding the time performance. The time performance of the
matching systems in the SLL, LLL, SLP and LLP suites are shown in Figures 2-3 36.</p>
        <p>The detailed results can also be found in HOBBIT git 37. Silk and GS-JedAI do not
participate for COVERED BY and Silk also does not participate for COVERS.</p>
        <p>In the SLL suite, RADON has the best performance in most cases except for the
Touches and Intersects relations, followed by AML. DS-JedAI seems to need the most
time followed by Silk.</p>
        <p>In the LLL suite we have a more clear view of the capabilities of the systems with
the increase in the number of instances. In this case, RADON and Silk have similar
behavior as in the small dataset, but it is more clear that the systems need much more
time to match instances from the TomTom dataset. On the other hand DS-JedAI, scales
pretty well in larger datasets as Spark start-up time is negligible in comparison to the
matching time. RADON has still the best performance in most cases. AML has the
next best performance and is able to handle some cases better than other systems (e.g.
Touches and Intersects), however, it also hits the platform time limit in the case of
Disjoint.</p>
        <p>In the SLP suite, in contrast to the first two suites, RADON has the best performance
for all relations. AML and Silk have minor time differences and, depending on the case,
one is slightly better than the other while DS-JedAI needs the most time to complete
the matchings. All the systems need more time for the TomTom dataset but due to the
small size of the instances the time difference is minor.</p>
        <p>In the LLP suite, RADON again has the best performance in all cases. AML has the
second best performance. Again, DS-JedAI scales better in large datasets, thus it needs
less time than Silk.
36 In order to make the diagrams more comprehensible we have excluded the extreme values.
37 https://hobbit-project.github.io/OAEI_2021.html
Fig. 2. Time performance for TomTom &amp; Spaten SLL (top) and LLL (bottom) suites for AML,
RADON, Silk and DS-JedAI.</p>
        <p>Taking into account the executed test cases we can identify the capabilities of the
tested systems as well as suggest some improvements. All the systems participated in
most of the test cases, with the exception of Silk that did not participate in the Covers
and Covered By and DS-JedAI that did not participate in Covered By test cases. Some
systems did not manage to complete some test cases, mostly Disjoint.</p>
        <p>RADON was the only system that successfully addressed all the tasks, and had the
best performance for the SLP and LLP suites, but it can be improved for the Touches
and Intersects relations for the SLL and LLL suites. AML performs extremely well in
most cases, but can be improved in the cases of Covers/Covered By and Contains/Within
when it comes to LineStrings/Polygons Tasks and especially in Disjoint relations where
it hits the platform time limit. DS-JedAI addressed most of the tasks and scales better
in larger datasets and can be improved for Overlaps, Touches and Within. Silk can be
improved for the Touches, Intersects and Overlaps relations and for the SLL and LLL
tasks and for the Disjoint relation in SLP and LLP Tasks.</p>
        <p>In general, all systems needed more time to match the TomTom dataset than the
Spaten one, due to the smaller number of points per instance in the latter. Comparing the
LineString/LineString to the LineString/Polygon Tasks we can say that all the systems
needed less time for the first for the Contains, Within, Covers and Covered by relations,
more time for the Touches, Intersects and Crosses relations, and approximately the same
time for the Disjoint relation.
This year, the SPIMBENCH track counted three participants: AML, Lily, and LogMap.
All systtems participated last year. The evaluation results of the track are shown in Table
17. The results can also be found in HOBBIT git 38.</p>
      </sec>
      <sec id="sec-4-3">
        <title>Sandbox Dataset ( 380 instances, 10000 triples)</title>
      </sec>
      <sec id="sec-4-4">
        <title>System Fmeasure Precision Recall Time (in ms)</title>
        <p>LogMap 0.8413 0.9382 0.7625 5699
AML 0.8645 0.8348 0.8963 7966
Lily 0.9917 0.9835 1 1845</p>
        <sec id="sec-4-4-1">
          <title>Mainbox Dataset ( 1800 instances, 50000 triples)</title>
        </sec>
      </sec>
      <sec id="sec-4-5">
        <title>System Fmeasure Precision Recall Time (in ms)</title>
        <p>LogMap 0.7856 0.8801 0.7094 27140
AML 0.8604 0.8385 0.8835 46517</p>
        <p>Lily 0.9953 0.9908 1 3458</p>
        <p>Lily had the best performance overall both in terms of F-measure and run time.
Notably, their run time scaled very well with the increase in the number of instances. Lily
and AML had a higher recall than precision, while Lily had a full recall. By contrast,
LogMap had a higher precision and lower recall. AML and LogMap had a similar run
time performance.
4.11</p>
      </sec>
      <sec id="sec-4-6">
        <title>Geolink Cruise</title>
        <p>We evaluated all participants in the OAEI 2021. Unfortunately, none of the current
alignment systems can generate the coreferences between the cruise instances in the
Geolink Cruise benchmark. The state of the art alignment systems work well on finding
the links with a higher string similarity or string synonyms between two objects.
However, in terms of the instances with lower string similarities, or the external information
is not available or very limited to help the aligning task. Another kind of algorithm is
needed, like finding the relation of the instances based on the underlying structure of
the graphs. We hope that system will manage this track in future years.
38 https://hobbit-project.github.io/OAEI_2021.html
This year we evaluated all participants with the MELT framework to include all
possible submission formats i.e. SEALS, and Web format. First, all systems are evaluated
on a very small matching task39 (even those not registered for the track). This revealed
that not all systems were able to handle the task, and in the end, 11 matchers can
provide results for at least one test case. This shows that over the years more and more
participants adapt their systems to be able to match not only schema but also instances.
When the track started in 2018, only vfie systems were able to finish this track, but this
increased a bit to seven in 2019 and six systems in 2020 (counting the LogMap family
always as one system). This year, the highest number of successful systems is reached
with 11 matchers.</p>
        <p>Similar to the previous years, some systems (AMD and AML) need a
postprocessing step of the resulting alignment file to be able to parse it. The reason is that the
KGs in the knowledge graph track contains special characters, e.g. ampersand. These
characters need to be encoded in order to parse these XML formatted files correctly.
The resulting alignments are available for download 40.</p>
        <p>Table 18 shows the aggregated results for all systems, including the number of tasks
in which they were able to generate a non-empty alignment (#tasks) and the average
number of generated correspondences (size). We report the macro averaged precision,
39 http://oaei.ontologymatching.org/2019/results/knowledgegraph/
small_test.zip
40 http://oaei.ontologymatching.org/2021/results/knowledgegraph/
oaei2021-knowledgegraph-alignments.zip</p>
        <sec id="sec-4-6-1">
          <title>ALOD2Vec</title>
          <p>AMD
AML
ATMatcher
BaselineAltLabel
BaselineLabel
Fine-TOM
KGMatcher
LogMap
LSMatch
OTMapOnto
TOM
Wiktionary</p>
        </sec>
        <sec id="sec-4-6-2">
          <title>ALOD2Vec</title>
          <p>AMD
AML
ATMatcher
BaselineAltLabel
BaselineLabel
Fine-TOM
KGMatcher
LogMap
LSMatch
OTMapOnto
TOM
Wiktionary</p>
        </sec>
        <sec id="sec-4-6-3">
          <title>ALOD2Vec</title>
          <p>AMD
AML
ATMatcher
BaselineAltLabel
BaselineLabel
Fine-TOM
KGMatcher
LogMap
LSMatch
OTMapOnto
TOM
Wiktionary
F-measure, and recall results, where we do not distinguishing empty and erroneous (or
not generated) alignments. The values in parentheses show the results when considering
only non empty alignments.</p>
          <p>In terms of F-measure, ALOD2Vec and Wiktionary still achieve 0.87 (as in
previous years) and no other system can improve on that. They also return a high amount
of correspondences. AML produces the largest number of correspondences (6,875) on
average, however, other systems reach a higher recall at lower absolute numbers.</p>
          <p>Regarding runtime, TOM (23:30:25) and Fine-TOM (14:55:09) were the slowest
systems. This is probably due to the fact that both are transformer based systems. The
computation of these models takes time on machines without any GPU support. Besides
the baselines (which need around 12 minutes for all test cases) ATMatcher (00:19:34)
and ALOD2Vec (00:21:52) were the fastest systems.</p>
          <p>In table 19, the results are further distinguished between class, property, and
instance correspondences. They are also averaged over all vfie test cases in this track.
Detailed results for each test case can be found on the OAEI results page of the track41.</p>
          <p>All systems are able to return class correspondences. The baseline results show that
it is easy to achieve a high precision when matching only based on string comparison.
In terms of F-measure, AML is again the best performing system, mainly due to the
high recall of 0.81. Only ATMatcher and OTMapOnto (when counting only successful
test cases) have similar recall values (0.79 and 0.80, respectively). On the other end
of the spectrum, AMD is the only system which could not beat the baseline in terms
of F-measure. Interestingly, it is also one of the systems which focuses on the class
correspondences.</p>
          <p>Analyzing the property correspondences reveals the same observation as in previous
years. Many of the systems do not match rdf:Property, but only handle properties
which are classified into owl:ObjectProperty or owl:DatatypeProperty.
This year, six systems were not capable of producing any property matches, which is a
significant increase compared to 2020. ATMatcher has the highest F-measure of 0.96,
closely followed by ALOD2Vec and Wiktionary with 0.95. Overall, only vfie systems
actually returned any property correspondences.</p>
          <p>The highest amount of correspondences in the gold standard are available for
instances (15,361). Only three systems (AMD, LSMatch, and OTMapOnto) do not return
instance alignments. All others score between 0.78 and 0.87 F-measure (TOM is an
exception here with only 0.12). Also for the instances, it is easier to achieve a high
precision (0.94 of KGMatcher) than a high recall (best value is 0.83 by ALOD2Vec and
Wiktionary). The best scores for instances matching did not improve in comparison to
last year.</p>
          <p>For further analysis of the results, we also provide an online dashboard42 generated
with MELT[54]. It allows to inspect the results on a correspondence level. Due to the
large amount of these correspondences (203,935), it can take some time to load the full
dashboard. Once finished, it allows to analyse the distribution of confidences. AML,
41 http://oaei.ontologymatching.org/2021/results/knowledgegraph/
index.html
42 http://oaei.ontologymatching.org/2021/results/knowledgegraph/
knowledge_graph_dashboard.html
ATMatcher, Fine-Tom, LogMap, and TOM not only use one confidence of 1.0 but have
different values for correspondences. The full range between zero and one is used by
ALOD2Vec and Wiktionary.</p>
        </sec>
      </sec>
      <sec id="sec-4-7">
        <title>4.13 Interactive matching</title>
        <p>This year, three systems (ALIN, AML, and LogMap) participated in the Interactive
matching track. Their results are shown in Table 20 and Figure 4 for both the Anatomy
and Conference datasets.</p>
        <p>The table includes the following information (column names within parentheses):
– The performance of the system: Precision (Prec.), Recall (Rec.) and F-measure
(Fm.) with respect to the fixed reference alignment, as well as Recall+ (Rec.+) for the
Anatomy task. To facilitate the assessment of the impact of user interactions, we
also provide the performance results from the original tracks, without interaction
(line with Error NI).
– To ascertain the impact of the oracle errors, we provide the performance of the
system with respect to the oracle (i.e., the reference alignment as modified by the
errors introduced by the oracle: Precision oracle (Prec. oracle), Recall oracle (Rec.
oracle) and F-measure oracle (F-m. oracle). For a perfect oracle these values match
the actual performance of the system.
– Total requests (Tot Reqs.) represents the number of distinct user interactions with
the tool, where each interaction can contain one to three conflicting
correspondences, that could be analysed simultaneously by a user.
– Distinct correspondences (Dist. Mapps) counts the total number of correspondences
for which the oracle gave feedback to the user (regardless of whether they were
submitted simultaneously, or separately).
– Finally, the performance of the oracle itself with respect to the errors it introduced
can be gauged through the positive precision (Pos. Prec.) and negative precision
(Neg. Prec.), which measure respectively the fraction of positive and negative
answers given by the oracle that are correct. For a perfect oracle these values are equal
to 1 (or 0, if no questions were asked).</p>
        <p>The figure shows the time intervals between the questions to the user/oracle for the
different systems and error rates. Different runs are depicted with different colors.</p>
        <p>The matching systems that participated in this track employ different
userinteraction strategies. While LogMap, and AML make use of user interactions
exclusively in the post-matching steps to filter their candidate correspondences, ALIN can
also add new candidate correspondences to its initial set. LogMap and AML both
request feedback on only selected correspondences candidates (based on their similarity
patterns or their involvement in unsatisfiabilities) and AML presents one
correspondence at a time to the user. ALIN and LogMap can both ask the oracle to analyze
several conflicting correspondences simultaneously.</p>
        <p>The performance of the systems usually improves when interacting with a perfect
oracle in comparison with no interaction. ALIN is the system that improves the most,
because its high number of oracle requests and its non-interactive performance was the
lowest of the interactive systems, and thus the easiest to improve.</p>
        <sec id="sec-4-7-1">
          <title>Prec. Rec.</title>
          <p>Rec.+ oracle oracle</p>
        </sec>
        <sec id="sec-4-7-2">
          <title>F-m. Tot. Dist.</title>
          <p>oracle Reqs. Mapps
Pos.</p>
          <p>Prec.</p>
          <p>Neg.</p>
          <p>Prec.</p>
        </sec>
        <sec id="sec-4-7-3">
          <title>LogMap</title>
        </sec>
        <sec id="sec-4-7-4">
          <title>ALIN</title>
          <p>AML
–
–
–
–
–
–
–
–
–
–
–
–
–
–
–</p>
          <p>–
0.934
0.934
0.933
0.84</p>
          <p>–
0.952
0.953
0.953
0.954
NI stands for non-interactive, and refers to the results obtained by the matching system in the
original track.</p>
          <p>Although system performance deteriorates when the error rate increases, there are
still benefits from the user interaction—some of the systems’ measures stay above their
non-interactive values even for the larger error rates. Naturally, the more a system relies
on the oracle, the more its performance tends to be affected by the oracle’s errors.</p>
          <p>The impact of the oracle’s errors is linear for ALIN, and AML in most tasks, as
the F-measure according to the oracle remains approximately constant across all error
rates. It is supra-linear for LogMap in all datasets.</p>
          <p>Another aspect that was assessed, was the response time of systems, i.e., the time
between requests. Two models for system response times are frequently used in the
literature [16]: Shneiderman and Seow take different approaches to categorize the response
times taking a task-centered view and a user-centered view respectively. According to
task complexity, Shneiderman defines response time in four categories: typing, mouse
movement (50-150 ms), simple frequent tasks (1 s), common tasks (2-4 s) and complex
tasks (8-12 s). While Seow’s definition of response time is based on the user
expectations towards the execution of a task: instantaneous (100-200 ms), immediate (0.5-1
s), continuous (2-5 s), captive (7-10 s). Ontology alignment is a cognitively demanding
task and can fall into the third or fourth categories in both models. In this regard the
response times (request intervals as we call them above) observed in all datasets fall
into the tolerable and acceptable response times, and even into the first categories, in
both models. The request intervals for AML, LogMap and ALIN stay at a few
milliseconds for most datasets. It could be the case, however, that a user would not be able to
take advantage of these low response times because the task complexity may result in
higher user response time (i.e., the time the user needs to respond to the system after
the system is ready).
Three systems were able to generate complex correspondences: AMD, AMLC, and
AROA. The results for the other systems are reported in terms of simple alignments.
The results of the systems on four out of the vfie test cases are summarized in Table 21.</p>
          <p>With respect to the Hydrography test cases, none of the systems can generate
complex correspondences in this year. Most of the systems achieved fair results in terms of
precision, but the low recall reflects that the current ontology alignment systems still
need to be improved to find more complex relations.</p>
          <p>In terms of Geolink and populated GeoLink test cases, the real-world instance data
from GeoLink Project is also populated into the ontology in order to enable the
systems that depend on instance-based matching algorithms to evaluate their performance.
There are only two alignment systems that can generate complex alignments in
GeoLink Benchmark, which are AMLC and AROA. AMLC didn’t find any correct
complex alignment, while AROA still achieved relatively good performance. One of the
reasons is that AROA is instance-based systems, which rely on the shared instances
between ontologies. In other words, finding related instances between two ontologies or
knowledge graphs can be helpful to improve the performance of the matching process.</p>
          <p>In the populated Enslaved test case, besides AMLC and AROA can produce
complex alignments, LogMap also can find complex correspondences this year. The relaxed
precision of AROA and LogMap look relatively fair, while AMLC reports a lower
relaxed precision than last year. AROA found the largest number of the complex
correspondences among three systems, while the LogMap outputs the largest number of the
simple correspondences.</p>
          <p>With respect to the Conference test cases the track has the same participant, AMLC,
as the last year. This year AMLC delivered the alignments consisting of both, simple
and complex correspondences. Within this evaluation only complex correspondences
were evaluated and the results are the same as the last year.</p>
          <p>In the Taxon dataset, only two systems applied for participating in the task, AMLC
and AMD, among which only AMLC was able to produce results, with AMD not
being able to parse the files. We also ran the systems generating simple alignments. Two
main challenges make the alignment task difficult: i) The four taxonomic registers in
the Taxon dataset adopt somewhat different approaches to model taxonomic
information using instances of SKOS Concept and OWL classes. The modelling discrepancies
entail that alignments should be able to ”cross” modelling perspectives, e.g. aligning an
OWL class with an instance of SKOS concept; ii) situations occur where all taxonomic
registers are not on the same page as a result of the fact that scientific consensus about
taxonomy constantly evolves. While the experts expected to evaluate the links between
taxonomic entities, in many other cases, the aligned resources were entities from the
vocabularies shared by several taxonomic registers (e.g. properties from SKOS or Dublin
Core Terms). Although such alignments are often true, they are usually rather
obvious and hence useless. Besides, although the taxonomic registers contain thousands to
hundreds of thousands of taxa each, only very little alignments were proposed between
these entities. Overall, no valid complex alignments were proposed between taxa, and
LogMap was the only system that seems to be able to yield simple alignments that deal
with ii).</p>
          <p>A more detailed discussion of the results of each task can be found in the OAEI
page for this track43. For a third edition of complex matching in an OAEI campaign,
and given the inherent difficulty of the task, the results and participation are promising
albeit still modest.
5</p>
        </sec>
      </sec>
    </sec>
    <sec id="sec-5">
      <title>Conclusions and Lessons Learned</title>
      <p>In 2021 we witnessed a healthy mix of new and returning systems. Like last year, the
distribution of participants by tracks was uneven. In future editions we plan to facilitate
the participation of non-Java systems (the use of the MELT framework [36] was a step
forward this year) and Machine Learning based systems by providing partial alignment
sets for supervised learning.</p>
      <p>The schema matching tracks saw abundant participation, but, as has been the trend
of the recent years, little substantial progress in terms of quality of the results or run
time of top matching systems, judging from the long-standing tracks. On the one hand,
this may be a sign of a performance plateau being reached by existing strategies and
algorithms, which would suggest that new technology is needed to obtain significant
improvements. On the other hand, it is also true that established matching systems tend
to focus more on new tracks and datasets than on improving their performance in
longstanding tracks, whereas new systems typically struggle to compete with established
ones.</p>
      <p>The number of matching systems capable of handling very large ontologies has
increased slightly over the last years, but is still relatively modest, judging from the Large
Biomedical Ontologies track. We will aim at facilitating participation in future editions
of this track by providing techniques to divide the matching tasks in manageable
subtasks (see, e.g., [38]).</p>
      <p>According to the Conference track there is still need for an improvement with
regard to the ability of matching systems to match properties. This year we witnessed
more systems (vfie) concerned with the logical coherence of the alignments they
produce, an aspect which is critical for several semantic web applications. However, we
will see next year whether there is really a growing trend. Finally, this year it was
shown that matching domain ontology to cross-domain ontology is difficult task for
general matching systems.</p>
      <p>With respect to the cross-lingual version of Conference, the MultiFarm track still
attracts too few number of participants. Despite this fact, this year new participants
came with alternative strategies (i.e., deep learning) with respect to the last campaigns.</p>
      <p>The consensus-based evaluation in the Disease and Phenotype track offers limited
insights into performance, as several matching systems produce a number of unique
correspondences which may or may not be correct. In the absence of a true reference
43 https://oaei.ontologymatching.org/2021/complex/index.html
alignment, future evaluation should seek to determine whether the unique
correspondences contain indicators of correctness, such as semantic similarity, or appear to be
noise. Comparison of the task results with embedded mappings of equivalence in the
MONDO disease ontology can also be investigated in future evaluation [52].</p>
      <p>In the Biodiversity and Ecology track, none of the systems has been able to detect
mappings established by domain experts. Detecting such correspondences requires the
use of domain-specific core knowledge that captures biodiversity concepts. In addition
this year, we did confirm on the one hand the inability of most systems to handle SKOS
as input format and to handle very large ontologies and thesauri in the other hand. We
plan to reuse techniques from the Large Biomedical Ontologies track as well as experts
knowledge to provide manageable subsets.</p>
      <p>The interactive matching track also witnessed a small number of participants.
Three systems participated this year. This is puzzling considering that this track is based
on the Anatomy and Conference test cases, and those tracks had 16 participants. The
process of programmatically querying the Oracle class used to simulate user
interactions is simple enough that it should not be a deterrent for participation, but perhaps
we should look at facilitating the process further in future OAEI editions by providing
implementation examples.</p>
      <p>The complex matching track tackles a challenge task and still attracts a very few
number of participants. This year, domain experts have been manually evaluated the
generated alignments and have been confronted with difficulties as the lack of user
interfaces for manipulating complex alignments and helping understanding EDOAL.
This track has also to evolve, in particular the Taxon track, considering new versions of
the used resources (TaxRef-LD) and additional resources as NCBI and DBpedia.</p>
      <p>In the instance matching tracks participation decreased this year for SPIMBENCH
and increased for Spatial benchmark. Regarding Spatial benchmark some systems had
newer versions. Automatic instance-matching benchmark generation algorithms have
been gaining popularity, as evidenced by the fact that they are used in all three instance
matching tracks of this OAEI edition. One aspect that has not been addressed in such
algorithms is that, if the transformation is too extreme, the correspondence may be
unrealistic and impossible to detect even by humans. As such, we argue that
human-inthe-loop techniques can be exploited to do a preventive quality-checking of generated
correspondences, and refine the set of correspondences included in the final reference
alignment.</p>
      <p>In the knowledge graph track, more matchers are able to participate in this track.
Still, seven of them do not match rdf:Properties. In the fourth year of this track we saw a
small improvement in instance alignments but the margin to the baselines is still small.</p>
      <p>In the new common knowledge graphs track, which challenges matching systems
to map the schema of large-scale, automatically constructed, and cross-domain
knowledge graphs, a number of systems were able to finish the task, while others faced a
problem coping with the dataset size. Some of the systems that utilize deep learning
techniques such as transfer learning were not able to complete the task within the
allotted time. Therefore, we expect those systems to be adapted to the task, and we look
forward to having more participants in the upcoming campaign.</p>
      <p>Like in previous OAEI editions, most participants provided a description of their
systems and their experience in the evaluation, in the form of OAEI system papers.
These papers, like the present one, have not been peer reviewed. However, they are full
contributions to this evaluation exercise, reflecting the effort and insight of matching
systems developers, and providing details about those systems and the algorithms they
implement.</p>
      <p>As each year, fruitful discussions at the Ontology Matching point out different
directions for future improvements in OAEI. In particular, in terms of new use cases,
one potential new track involves matching ontologies of food product concepts [10].
Another track to be included in the next campaign is about the chemical/biological
laboratory domain with strong interest from pharmaceutical companies [31, 33].</p>
      <p>The Ontology Alignment Evaluation Initiative will strive to remain a reference to
the ontology matching community by improving both the test cases and the testing
methodology to better reflect actual needs, as well as to promote progress in this field.
More information can be found at: http://oaei.ontologymatching.org.</p>
    </sec>
    <sec id="sec-6">
      <title>Acknowledgements</title>
      <p>We warmly thank the participants of this campaign. We know that they have worked
hard to have their matching tools executable in time and they provided useful reports
on their experience. The best way to learn about the results remains to read the papers
that follow.</p>
      <p>We are also grateful to Martin Ringwald and Terry Hayamizu for providing the
reference alignment for the anatomy ontologies and thank Elena Beisswanger for her
thorough support on improving the quality of the dataset.</p>
      <p>We thank Andrea Turbati and the AGROVOC team for their very appreciated help
with the preparation of the AGROVOC subset ontology. We are also grateful to
Catherine Roussey and Nathalie Hernandez for their help on the Taxon alignment.</p>
      <p>We also thank for their support the past members of the Ontology Alignment
Evaluation Initiative steering committee: Je´roˆme Euzenat (INRIA, FR), Yannis Kalfoglou
(Ricoh laboratories, UK), Miklos Nagy (The Open University,UK), Natasha Noy
(Google Inc., USA), Yuzhong Qu (Southeast University, CN), York Sure
(Leibniz Gemeinschaft, DE), Jie Tang (Tsinghua University, CN), Heiner Stuckenschmidt
(Mannheim Universita¨t, DE), George Vouros (University of the Aegean, GR).</p>
      <p>Daniel Faria and Catia Pesquita were supported by the FCT through the LASIGE
Research Unit (UIDB/00408/2020 and UIDP/00408/2020) and by the KATY project
funded by the European Union’s Horizon 2020 research and innovation program under
grant agreement No 101017453.</p>
      <p>Ernesto Jimenez-Ruiz has been partially supported by the SIRIUS Centre for
Scalable Data Access (Research Council of Norway, project no.: 237889) and the AIDA
project (Alan Turing Institute).</p>
      <p>Irini Fundulaki and Tzanina Saveta were supported by the EU’s Horizon 2020
research and innovation programme under grant agreement No 688227 (Hobbit).</p>
      <p>Patrick Lambrix, Huanyu Li, Mina Abd Nikooie Pour and Ying Li have been
supported by the Swedish e-Science Research Centre (SeRC), the Swedish Research
Council (Vetenskapsra˚det, dnr 2018-04147) and the Swedish National Graduate School in
Computer Science (CUGS).</p>
      <p>Lu Zhou has been supported by the National Science Foundation under Grant
No. 2033521, KnowWhereGraph: Enriching and Linking Cross-Domain Knowledge
Graphs using Spatially-Explicit AI Technologies and the Andrew W. Mellon
Foundation through the Enslaved project (identifiers 1708-04732 and 1902-06575).</p>
      <p>Beyza Yaman has been supported by the European Union’s Horizon 2020
research and innovation programme under Marie Sklodowska-Curie grant agreement No.
801522, by Science Foundation Ireland and co-funded by the European Regional
Development Fund through the ADAPT Centre for Digital Content Technology [grant
number 13/RC/2106] and Ordnance Survey Ireland.</p>
      <p>The Biodiversity and Ecology track has been partially funded by the German
Research Foundation in the context of NFDI4BioDiversity project (Project number
442032008) and the CRC 1076 AquaDiva. In 2021, the track was also supported by
the Data to Knowledge in Agronomy and Biodiversity (D2KAB – www.d2kab.org)
project that received funding from the French National Research Agency
(ANR-18CE23-0017). We would like to thank FAO AIMS and US NAL as well as the GACS
project for providing mappings between AGROVOC and NALT. We would like to
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