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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>LogMap family participation in the OAEI 2018</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>E. Jime´nez-Ruiz</string-name>
          <xref ref-type="aff" rid="aff2">2</xref>
          <xref ref-type="aff" rid="aff3">3</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>B. Cuenca Grau</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>V. Cross</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Computer Science and Software Engineering, Miami University</institution>
          ,
          <addr-line>Oxford, OH</addr-line>
          ,
          <country country="US">United States</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>Department of Computer Science, University of Oxford</institution>
          ,
          <addr-line>Oxford</addr-line>
          ,
          <country country="UK">UK</country>
        </aff>
        <aff id="aff2">
          <label>2</label>
          <institution>Department of Informatics, University of Oslo</institution>
          ,
          <addr-line>Oslo</addr-line>
          ,
          <country country="NO">Norway</country>
        </aff>
        <aff id="aff3">
          <label>3</label>
          <institution>The Alan Turing Institute</institution>
          ,
          <addr-line>London</addr-line>
          ,
          <country country="UK">UK</country>
        </aff>
      </contrib-group>
      <abstract>
        <p>We present the participation of LogMap and its variants in the OAEI 2018 campaign. The LogMap project started in January 2011 with the objective of developing a scalable and logic-based ontology matching system. This is our eight participation in the OAEI and the experience has so far been very positive. LogMap is one of the few systems that participates in (almost) all OAEI tracks. Presentation of the system LogMap [11, 13] is a highly scalable ontology matching system that implements the consistency and locality principles [12]. LogMap also supports (real-time) user interaction during the matching process, which is essential for use cases requiring very accurate mappings. LogMap is one of the few ontology matching system that (i) can efficiently match semantically rich ontologies containing tens (and even hundreds) of thousands of classes, (ii) incorporates sophisticated reasoning and repair techniques to minimise the number of logical inconsistencies, and (iii) provides support for user intervention during the matching process. LogMap relies on the following elements, which are keys to its favourable scalability behaviour (see [11, 13] for details). Lexical indexation. An inverted index is used to store the lexical information contained in the input ontologies. This index is the key to efficiently computing an initial set of mappings of manageable size. Similar indexes have been successfully used in information retrieval and search engine technologies [2]. Logic-based module extraction. The practical feasibility of unsatisfiability detection and repair critically depends on the size of the input ontologies. To reduce the size of the problem, we exploit ontology modularisation techniques. Ontology modules with well-understood semantic properties can be efficiently computed and are typically much smaller than the input ontology (e.g. [5]). Propositional Horn reasoning. The relevant modules in the input ontologies together with (a subset of) the candidate mappings are encoded in LogMap using a Horn propositional representation. Furthermore, LogMap implements the classic Dowling-Gallier algorithm for propositional Horn satisfiability [6]. Such encoding, although incomplete, allows LogMap to detect unsatisfiable classes soundly and efficiently. Axiom tracking. LogMap extends Dowling-Gallier's algorithm to track all mappings that may be involved in the unsatisfiability of a class. This extension is key to implementing a highly scalable repair algorithm.</p>
      </abstract>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>-</title>
      <p>Local repair. LogMap performs a greedy local repair; that is, it repairs unsatisfiabilities
on-the-fly and only looks for the first available repair plan.</p>
      <p>
        Semantic indexation. The Horn propositional representation of the ontology modules
and the mappings is efficiently indexed using an interval labelling schema [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ] — an
optimised data structure for storing directed acyclic graphs (DAGs) that significantly
reduces the cost of answering taxonomic queries [
        <xref ref-type="bibr" rid="ref4">4, 19</xref>
        ]. In particular, this semantic
index allows us to answer many entailment queries as an index lookup operation over
the input ontologies and the mappings computed thus far, and hence without the need
for reasoning. The semantic index complements the use of the propositional encoding
to detect and repair unsatisfiable classes.
1.1
      </p>
    </sec>
    <sec id="sec-2">
      <title>LogMap variants in the 2018 campaign</title>
      <p>As in previous campaigns, in the OAEI 2018 we have participated with two additional
variants:
LogMapLt is a “lightweight” variant of LogMap, which essentially only applies
(efficient) string matching techniques.</p>
      <p>
        LogMapBio includes an extension to use BioPortal [
        <xref ref-type="bibr" rid="ref8 ref9">8, 9</xref>
        ] as a (dynamic) provider of
mediating ontologies instead of relying on a few preselected ontologies [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ].
      </p>
      <p>In previous years we also participated with LogMapC5.
1.2</p>
    </sec>
    <sec id="sec-3">
      <title>Adaptations made for the 2018 evaluation</title>
      <p>
        LogMap’s algorithm described in [
        <xref ref-type="bibr" rid="ref11 ref13 ref14 ref15">11, 13, 16, 15, 14</xref>
        ] has been adapted with the
following new functionalities:
i HOBBIT adaptation. We have implemented the required interface classes to run
LogMap under the HOBBIT platform.6 LogMap can currently be evaluated in five
different tracks available in the HOBBIT platform.7
ii Ontology division module. This module extends LogMap’s ontology overlapping
estimation module to compute a number of divisions of the input ontologies and to
create a set of smaller matching subtasks [
        <xref ref-type="bibr" rid="ref10">10</xref>
        ].
iii Obsolete classes. We have extended the lexical and structural indexation modules
to ignore classes in the ontology annotated as obsolete.
1.3
      </p>
    </sec>
    <sec id="sec-4">
      <title>Link to the system and parameters file</title>
      <p>LogMap is open-source and released under GNU Lesser General Public License 3.0.8
LogMap components and source code are available from the LogMap’s GitHub page:
https://github.com/ernestojimenezruiz/logmap-matcher/.
5 LogMapC is a variant of LogMap which, in addition to the consistency and locality principles,
also implements the conservativity principle (see details in [20–22, 18]).
6 https://gitlab.com/ernesto.jimenez.ruiz/logmap-hobbit
7 https://git.project-hobbit.eu/ernestoj/logmapsystem
8 http://www.gnu.org/licenses/</p>
      <p>LogMap distributions can be easily customized through a configuration file
containing the matching parameters.</p>
      <p>LogMap, including support for interactive ontology matching, can also be used
directly through an AJAX-based Web interface: http://krrwebtools.cs.ox.
ac.uk/. This interface has been very well received by the community since it was
deployed in 2012. More than 3,000 requests coming from a broad range of users have
been processed so far.
1.4</p>
    </sec>
    <sec id="sec-5">
      <title>LogMap as a mapping repair system</title>
      <p>Only a very few systems participating in the OAEI competition implement repair
techniques. As a result, existing matching systems (even those that typically achieve very
high precision scores) compute mappings that lead in many cases to a large number of
unsatisfiable classes.</p>
      <p>
        We believe that these systems could significantly improve their output if they were
to implement repair techniques similar to those available in LogMap. Therefore, with
the goal of providing a useful service to the community, we have made LogMap’s
ontology repair module (LogMap-Repair) available as a self-contained software component
that can be seamlessly integrated in most existing ontology matching systems [
        <xref ref-type="bibr" rid="ref7">17, 7</xref>
        ].
1.5
      </p>
    </sec>
    <sec id="sec-6">
      <title>LogMap as a matching task division system</title>
      <p>
        LogMap also includes a novel module to divide the ontology alignment task into
(independent) manageable subtasks [
        <xref ref-type="bibr" rid="ref10">10</xref>
        ]. This component relies on LogMap’s lexical index,
a neural embedding model [23] and locality-based modules [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ]. This module can be
integrated in existing ontology alignment systems as a external module. The
preliminaty results in [
        <xref ref-type="bibr" rid="ref10">10</xref>
        ] are encouraging as the division enabled systems to complete some
large-scale matching tasks.
2
      </p>
      <sec id="sec-6-1">
        <title>General comments and conclusions</title>
        <p>Please refer to http://oaei.ontologymatching.org/2018/results/ for
the results of the LogMap family in the OAEI 2018 campaign.
2.1</p>
      </sec>
    </sec>
    <sec id="sec-7">
      <title>Comments on the results</title>
      <p>As in previous campaigns, LogMap has been one of the top systems and one of the few
systems that participates in (almost) all tracks. Furthermore, it has also been one of the
few systems implementing repair techniques and providing (almost) coherent mappings
in all tracks.</p>
      <p>LogMap’s main weakness is that the computation of candidate mappings is based
on the similarities between the vocabularies of the input ontologies; hence, in the cases
where the ontologies are lexically disparate or do not provide enough lexical
information LogMap is at a disadvantage.</p>
      <sec id="sec-7-1">
        <title>Acknowledgements</title>
        <p>This work was partially supported by the AIDA project, funded by the UK
Government’s Defence &amp; Security Programme in support of the Alan Turing Institute, and the
SIRIUS Centre for Scalable Data Access (Research Council of Norway, project no.:
237889).</p>
        <p>We would also like to thank Ian Horrocks, Alessandro Solimando, Anton Morant,
Yujiao Zhou, Weiguo Xia, Xi Chen, Yuan Gong and Shuo Zhang, who have contributed
to the LogMap project in the past.
16. Jime´nez-Ruiz, E., Grau, B.C., Solimando, A., Cross, V.V.: Logmap family results for OAEI
2015. In: Proceedings of the 10th International Workshop on Ontology Matching collocated
with the 14th International Semantic Web Conference (ISWC 2015), Bethlehem, PA, USA,
October 12, 2015. pp. 171–175 (2015), http://ceur-ws.org/Vol-1545/oaei15_
paper10.pdf
17. Jime´nez-Ruiz, E., Meilicke, C., Cuenca Grau, B., Horrocks, I.: Evaluating mapping repair
systems with large biomedical ontologies. In: 26th Description Logics Workshop (2013)
18. Jimenez-Ruiz, E., Payne, T.R., Solimando, A., Tamma, V.: Limiting logical violations in
ontology alignment through negotiation. In: Proceedings of the 15th International Conference
on Principles of Knowledge Representation and Reasoning (KR). AAAI Press (April 2016)
19. Nebot, V., Berlanga, R.: Efficient retrieval of ontology fragments using an interval labeling
scheme. Inf. Sci. 179(24), 4151–4173 (2009)
20. Solimando, A., Jime´nez-Ruiz, E., Guerrini, G.: Detecting and correcting conservativity
principle violations in ontology-to-ontology mappings. In: Int’l Sem. Web Conf. (ISWC) (2014)
21. Solimando, A., Jime´nez-Ruiz, E., Guerrini, G.: A multi-strategy approach for detecting and
correcting conservativity principle violations in ontology alignments. In: Proc. of the 11th
International Workshop on OWL: Experiences and Directions (OWLED). pp. 13–24 (2014)
22. Solimando, A., Jimenez-Ruiz, E., Guerrini, G.: Minimizing conservativity violations in
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https://github.com/asolimando/logmap-conservativity/
23. Wu, L., Fisch, A., Chopra, S., Adams, K., Bordes, A., Weston, J.: Starspace: Embed all the
things! arXiv preprint arXiv:1709.03856 (2017)</p>
      </sec>
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