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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>The Properties of Property Alignment</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Michelle Cheatham</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Pascal Hitzler</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>OAEI Conference Track</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Data Semantics (DaSe) Laboratory, Wright State University</institution>
          ,
          <addr-line>Dayton OH 45435</addr-line>
          ,
          <country country="US">USA</country>
        </aff>
      </contrib-group>
      <abstract>
        <p>The performance of alignment systems on property matching lags signi cantly behind that on class and instance matching. This work seeks to understand the reasons for this and consider possible avenues for improvement. The paper contains an in-depth exploration of the performance of current alignment systems on the only commonly accepted alignment benchmark that involves matches between properties. A second benchmark involving properties is also proposed. Finally, an entirely string-based approach targeted towards aligning properties is presented and evaluated using both benchmarks.</p>
      </abstract>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>Introduction</title>
      <p>properties as well as classes. Table 1 shows the results of the top 2013 OAEI
competitors on the Conference track, broken down into classes and properties1.
The average f-measure for classes is more than three times that for properties.</p>
      <p>Table 2 presents the most common correct and incorrect property matches
identi ed by the participants in the 2013 OAEI, along with the valid property
matches that were most frequently omitted by those systems. The frequency
column in the table indicates the number of alignment systems out of the 15
qualifying2 systems that produced (or failed to produce, in the case of false negatives)
each match. The rst section of the table shows that the equivalent properties
that were most frequently correctly identi ed all have very high string similarity.
Unfortunately, the second section shows that high string similarity is also the
de ning characteristic of the most common false positives. It may seem
surprising that some of the matches in this section of the table are not valid. In some
cases the domain or range of the matched properties indicate that they are not
being used in the same way. For instance, the domain of cmt:name is the union
of Person and Conference whereas the domain of sigkdd:Name is only Person
and a separate property, Name of conference, is used to represent a conference's
name. In other cases the match may make sense in isolation but would lead to
logical inconsistency of the merged ontology. Finally, we see in the last section
of the table that the properties involved in the most common false negatives
generally have a much lower string similarity, such as cmt:hasBeenAssigned and
ekaw:ReviewerOfPaper. In many of these cases, the domain and range of the
properties do have strong syntactic similarity however, e.g. Reviewer and
Paper for hasBeenAssigned and Possible Reviewer and Paper for reviewerOfPaper.
Further, there were some quite frequently missed equivalent properties that have</p>
      <sec id="sec-1-1">
        <title>1 MapSSS and StringsAuto do not attempt to align properties 2 Those performing better than the basic edit-distance string metric</title>
        <p>strong clues in the labels themselves, such as cmt:writePaper and confOf:writes.
Of the 31 common false negatives, 13 have noticeable string similarity.
3</p>
      </sec>
    </sec>
    <sec id="sec-2">
      <title>YAGO-DBPedia</title>
      <p>In addition to the OAEI Conference test set, we would also like to analyze
the performance of alignment systems on properties from another real-world
alignment task. For this we have chosen DBPedia3 and YAGO.4 DBPedia is a
linked data version of the information in Wikipedia. The YAGO knowledge base
has been automatically extracted from Wikipedia, WordNet, and GeoNames by
researchers at the Max Planck Institute for Computer Science. Both DBPedia
and YAGO contain millions of instances and thousands of schema-level entities.
This scale is too large for many current alignment systems. We are speci cally
interested in aligning the properties of these two datasets, so we have extracted
a cohesive subset of each one that will allow us to do this without requiring an
inordinately long runtime. This was done using the following procedure:
1. For each property in YAGO, randomly choose ve facts that involve the
property. For properties with less than ve facts, use all that are available.
2. Add the classes (type) of every instance mentioned in the facts from step 1.
3. Randomly add up to ve other facts related to the instances from step 1.
4. Repeat step 2 for any additional instances added during step 3.
5. Compute the \closure" of this set of entities by recursively retrieving all
schema-related axioms related to any entity within our sample.</p>
      <p>The procedure for creating the DBPedia sample was analogous, except that
instead of randomly choosing the facts in step 1, we selected facts with the same
instances as our YAGO sample when available. This is possible because, since
DBPedia and YAGO both represent information from Wikipedia, there is
errorfree mapping of instances that point to the same Wikipedia page. When there
were no matching YAGO instances for the facts related to a particular DBPedia
property, we reverted to randomly choosing facts. The characteristics of these
dataset samples are shown in Table 3.</p>
      <p>This dataset sample may be of use to other researchers, so we have made it
publicly available at http://www.michellecheatham.com/ les/dbpedia-yago.zip.
It should be noted that DBPedia and YAGO have some idiosyncrasies. For
instance, many properties de ned in the ontologies are never used or are
incompletely de ned (e.g. missing domain or range de nitions). Also, the de nitions of
some properties are spread across a datatype property, which speci es the range,
and an annotation property, which speci es the domain. Furthermore, some of
the properties appear to be used inconsistently, or at least more broadly than
they are de ned. For instance, in DBPedia we see that the instance HAL 9000</p>
      <sec id="sec-2-1">
        <title>3 http://wiki.dbpedia.org/Downloads39</title>
        <p>4
http://www.mpi-inf.mpg.de/departments/databases-and-informationsystems/research/yago-naga/</p>
        <p>Type Property 1 Property 2 Freq.
Correct cmt:email confOf:hasEmail 11
confOf:hasFirstName edas:hasFirstName 11
conference:has an email confOf:hasEmail 9
cmt:email conference:has an email 9
conference:has the last name edas:hasLastName 9
conference:has a review ekaw:hasReview 9
conference:has the rst name edas:hasFirstName 9
conference:has the rst name confOf:hasFirstName 9
False Positive iasted:pay sigkdd:pay 9
confOf:hasEmail edas:hasEmail 9
cmt:email edas:hasEmail 8
cmt:name sigkdd:Name 8
confOf:hasPhone edas:hasPhone 8
confOf:hasStreet edas:hasStreet 7
confOf:hasPostalCode edas:hasPostalCode 7
iasted:obtain sigkdd:obtain 7
confOf:hasTopic edas:hasTopic 7
conference:has an email edas:hasEmail 7
cmt:writtenBy confOf:writtenBy 7
False Negative cmt:hasBeenAssigned ekaw:reviewerOfPaper 15
cmt:assignExternalReviewer conference:invites co-reviewers 15
cmt:assignedByReviewer conference:invited by 15
edas:endDate sigkdd:End of conference 15
conference:is given by sigkdd:presentationed by 15
conference:has a...tutorial topic confOf:hasTopic 15
conference:contributes iasted:write 15
cmt:hasBeenAssigned confOf:reviewes 15
conference:gives presentations sigkdd:presentation 15
conference:has the last name confOf:hasSurname 15
cmt:assignedTo ekaw:hasReviewer 15
confOf:reviewes edas:isReviewing 15
confOf:hasSurname edas:hasLastName 15
conference:has a review expertise edas:hasRating 15
cmt:writtenBy ekaw:reviewWrittenBy 15
cmt:hasSubjectArea confOf:dealsWith 14
cmt:writePaper confOf:writes 14
edas:isReviewedBy ekaw:hasReviewer 14
cmt:hasAuthor confOf:writtenBy 14
confOf:writes edas:hasRelatedPaper 14
edas:hasCostAmount sigkdd:Price 14
cmt:assignedTo edas:isReviewedBy 14
edas:startDate sigkdd:Start of conference 14
cmt:hasConferenceMember edas:hasMember 14
cmt:hasBeenAssigned edas:isReviewing 14
edas:hasLocation ekaw:heldIn 14
edas:hasName sigkdd:Name of conference 14
edas:isReviewing ekaw:reviewerOfPaper 14
confOf:hasEmail sigkdd:E-mail 13
conference:has an email sigkdd:E-mail 13
conference:contributes ekaw:authorOf 13
Table 2. Most common correct, false positive, and false negative property matches
identi ed by alignment systems in the 2013 OAEI
has a gender property with a value of male and that Eaglet (Alice's Adventures
in Wonderland) has a gender value female. In some cases the gender property is
used di erently, however: the instance Alexander has a gender property value of
Alexandra, and the value for Maine North High School is mixed-sex education.
While these issues can be a pain to work with, they are realistic concerns that
ontology alignment systems will need to face for many application scenarios.</p>
        <p>
          There is currently no curated alignment of the properties in the DBPedia and
YAGO datasets. We would like to use the crowdsourcing approach described in
Section 4 based on Amazon's Mechanical Turk system to create a complete
reference alignment for the properties in these two datasets. It is not realistic to
crowdsource opinion on all possible pairs of properties, however. A set of
potential mappings is needed to bootstrap the crowdsourcing e ort. Unfortunately, not
many alignment systems have made results available for this pair of ontologies.
The developers of the PARIS alignment system are the exception { they have
produced and made public a set of subsumption relationships between
properties [
          <xref ref-type="bibr" rid="ref14">14</xref>
          ]. We can consider the cases where subsumption relations between two
properties exist in both directions as indicative of an equivalence relation. We
will use these matches, together with those produced by a basic string similarity
metric and by our string-based property matcher described in the next section
to begin the process of crowdsourcing a viable reference alignment. Due to the
limited number of alignment approaches providing the potential matches to
verify, this method will allow us to assess precision reasonably well but recall values
are likely to be less accurate. While less than ideal, this is a common method
of evaluation in the absence of an established reference alignment [
          <xref ref-type="bibr" rid="ref12 ref14 ref6">6,14,12</xref>
          ].
Mechanical Turk has previously been successfully used by other researchers for a
similar purpose { verifying relationships within biomedical ontologies [
          <xref ref-type="bibr" rid="ref9">9</xref>
          ].
4
        </p>
      </sec>
    </sec>
    <sec id="sec-3">
      <title>String-based Property Alignment</title>
      <p>In this section we present an entirely string-based approach to property
alignment, which we will call PropString.5</p>
      <p>
        Four strings are extracted for each property: the label, the core concept,
the domain, and the range. The label is simply the entity's label. The core
5 http://michellecheatham.com/ les/PropString.zip
concept is either the rst verb in the label that is greater than four characters
long or, if there is no such verb, the rst noun in the label, together with any
adjectives that modify that noun. For example, the label \wrote paper" has
the core concept \wrote" and the label \has corresponding author" has the
core concept \corresponding author." We arrived at this technique through an
analysis of common naming patterns for properties. We used the Standford
loglinear part of speech tagger to compute the core concept [
        <xref ref-type="bibr" rid="ref18">18</xref>
        ]. The domain (resp.
range) string is a concatenation of the labels of any classes in the domain (resp.
range) of a property. The similarity of each of these four pairs of strings is then
computed using the Soft TF-IDF metric, which was the string metric shown in
[
        <xref ref-type="bibr" rid="ref2">2</xref>
        ] to have the best performance on properties.
      </p>
      <p>While the vast majority of alignment systems use a string similarity metric,
they use them in di erent ways. One approach is to nd highly precise \anchor"
matches which serve as the seed that the rest of the alignment grows out from.
Another approach is to use a string metric to lter out any obviously incorrect
matches in order to reduce computational complexity. This requires a string
metric with high recall. To address both of these use cases, the PropString
approach can be run in two con gurations: precision-oriented and recall-oriented.
In the precision-oriented mode, a pair of entities is considered a match if the
similarity values for their core concepts, domains, and ranges are all greater
than the threshold. In the recall-oriented mode, the pair is considered a match
if the similarity values for their core concepts or their domains and ranges are
greater than the threshold.</p>
      <p>Allowing matches based solely on high similarity of domain and range in the
recall-oriented con guration results in very low precision unless further steps
are taken. We use a combination of two approaches to reduce the number of
false positives. The rst is the calculation of the con dence value: this is done
by averaging the similarity values for the exact labels, their domains, and their
ranges. The second is that we keep a list of each entity that is considered a match
so far, along with the entity it maps to and the con dence value. Every time a new
potential match between properties is identi ed, its con dence value is checked
against any existing current matches involving those properties. If the new match
has a greater con dence value, the old match is removed in favor of the new
one, otherwise the new match is ignored. Using the exact label similarity when
computing the con dence values rather than the core concept eliminates the loss
of precision associated with extracting the core concept, e ectively breaking any
ties in favor of the closer lexical matches. The e ect of this approach is that
any properties with the same domain and range act as a lter, with the speci c
match from that set chosen based on the actual property label.
4.1</p>
      <sec id="sec-3-1">
        <title>Evaluation: Conference track</title>
        <p>
          Table 4 shows the results of PropString on the OAEI Conference track. The
system was con gured with a threshold of 0.9 and to only include matches in which
both entities were in the namespace of the ontologies to be matched (in
accordance with the OAEI guidelines). The results are compared with those of Soft
TF-IDF with a threshold of 0.8. This was shown in [
          <xref ref-type="bibr" rid="ref2">2</xref>
          ] to be the best-performing
string metric for property alignment. It is evident that PropString greatly
outperforms Soft TF-IDF on this test set. The precision-oriented con guration of
PropString quintuples the precision of Soft TF-IDF (to a perfect 1.0) while
maintaining roughly the same recall. Analogously, the recall-oriented version doubles
the recall of Soft TF-IDF while still achieving noticeably better precision. The
f-measures for both the precision- and recall-oriented con gurations are double
that of Soft TF-IDF.
        </p>
        <p>We also conducted a series of tests which show that there are no redundant
aspects to the PropString metric: removing any element reduces performance. In
particular, removing the idea of extracting the core concept from property labels
has such a disastrous e ect on recall that the precision-oriented con guration
becomes useless. Similarly, removing either the best match lter or using simple
label similarity for the con dence value rather than averaging label, domain,
and range similarity cuts precision in half in the recall-oriented con guration.
Consideration of domain and range in the similarity computation is shown to be
the key to this approach.
4.2</p>
      </sec>
      <sec id="sec-3-2">
        <title>Evaluation: YAGO-DBPedia</title>
        <p>
          We also evaluated the performance of PropString on the YAGO-DBPedia
alignment task. We compare the performance of PropString to that of the basic
Soft TF-IDF similarity metric and the PARIS alignment system. PARIS is an
acronym for Probabilistic Alignment of Relations, Instances, and Schema. The
system approaches property alignment by considering the degree of overlap
between the sets of instances involving each property [
          <xref ref-type="bibr" rid="ref15">15</xref>
          ].
        </p>
        <p>
          There is no established reference alignment for the DBPedia and YAGO
ontologies. We begin the process of creating one by collecting the equivalent
property relationships generated by PropString, Soft TF-IDF, and PARIS and
using Amazon's Mechanical Turk to verify their accuracy. In total, these three
approaches produced 133 unique equivalence matches that involved properties.
We formulated questions for each match of the form \Does property label A
mean the same thing as property label B?" Respondents were instructed to
choose one of four options: they mean the same thing, one is a more general or
more speci c term than the other, they are related in some other way, or there
is no relation. We provided these more nuanced options rather than just yes
or no because we would like to eventually develop a reference alignment useful
for evaluating the performance of alignment systems that produce all types of
matches. There has been some debate in the alignment community on how to
phrase questions to crowdsourcing participants in order to acquire good-quality
matches [
          <xref ref-type="bibr" rid="ref13">13</xref>
          ]. In order to provide some context, we provided information about
the domain and range of each property and up to ve examples of instances with
values for each property.
        </p>
        <p>
          The 133 matches were grouped into 19 sets of 7 questions each, and we paid
25 cents for each set. Preliminary testing showed that the general response on
these nuanced veri cation questions were not very reliable (others have
indicated problems with scammers for these tasks as well [
          <xref ref-type="bibr" rid="ref9">9</xref>
          ]). We therefore invited
only Turkers who had previously demonstrated good performance on alignment
veri cation tasks to participate in this one. There were ten of these individuals,
and we received input from 6 or 7 of them for each match.
        </p>
        <p>Rather than requiring precise agreement on the type of relationship (if any)
for each potential match, it might make sense for our current purposes to
consider a weaker sense of agreement. One option is to consider two answers to be in
agreement if they both either indicate some relationship exists or they both
conclude there is no relation between the two properties. In this case, if one person
indicated two entities are related in a sub/super relationship and another
indicated that they are equivalent, these answers would be considered in agreement.
Two answers would only be seen to disagree if one indicated there is no relation at
all and the other disagreed. This way of interpreting the results might be useful
for an alignment system if the results from this phase were being used to either
nd all types of relationships between entities or to gather all possible matches
and use further processing to lter the set down to only equivalence relations.
We will call this \recall-oriented." Figure 1 (top) shows the results of PARIS,
Soft TF-IDF, and PropString on the YAGO-DBPedia property alignment task
using this de nition of correctness.</p>
        <p>Another possible way to interpret the results is to consider two answers to
be in agreement only if they both conclude either that the entities are precisely
equivalent or that they are not equivalent. Using this viewpoint, if one person
indicated that two entities are related in a sub/super relationship and another
indicated that they are precisely equivalent, these answers would be seen as
disagreeing. If instead one person considered the match to be a sub/super
relationship and another considered them to have no relationship at all, these two
individuals would be seen as in agreement because they both conclude that there
is no equivalence relationship. This interpretation may be useful if an alignment
system is attempting to nd high-quality equivalence relations between entities,
which it may subsequently use as a seed for further processing. We will refer to
this as \precision-oriented." Figure 1 (bottom) is analogous to Figure 1 (top)
but uses this precision-oriented de nition of correctness.</p>
        <p>The basic string metric Soft TF-IDF produces the highest precision,
regardless of how correctness is measured. Further, that precision is 0.79 and .96
(depending on evaluation approach), which is on par with the degree of agreement
among the Turkers on these matches. So we see that a straightforward string
metric can in some ways outperform more sophisticated alignment strategies. In
fact, PARIS and the precision-based con guration of PropString have such low
0.9  
0.8  
recall that they may not be of much utility for many application scenarios. This
is surprising considering the strong performance of this PropString con guration
on the properties within the Conference track.</p>
        <p>Another thing to note from these results is the very strong performance of the
recall-based con guration of PropString, both relative to the other approaches
and in an absolute sense. When PropString is run in its recall con guration with
a threshold of 0.5, both the precision and recall are in the neighborhood of that
produced by much more complex alignment systems on the simpler task of class
equivalence in smaller test sets, such as the Conference track. Of course, the very
preliminary nature of the YAGO-DBPedia reference alignment must be kept in
mind. More work, hopefully involving results produced by many other alignment
system on this pair of ontologies, is needed to con rm these results.
5</p>
      </sec>
    </sec>
    <sec id="sec-4">
      <title>Related Work</title>
      <p>
        The only existing work focused speci cally on property matching of which we
are aware is the extensional approach described in [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ] and the pattern-based
approach to nding complex mappings (i.e. matches involving more than two
entities) across ontologies that involve properties explored in [
        <xref ref-type="bibr" rid="ref12">12</xref>
        ]. However, there
is a large body of existing research on ontology alignment in general. A good
survey of current approaches can be found in [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ].
      </p>
      <p>
        There has also been some analysis of the particular characteristics of
properties versus classes and instances in ontologies. For instance, [
        <xref ref-type="bibr" rid="ref17">17</xref>
        ] discusses
common part-of-speech naming patterns for di erent entity types. Situations
in which properties are often rei ed were considered in [
        <xref ref-type="bibr" rid="ref10">10</xref>
        ]. Additionally, it has
been shown that taxonomies of properties are much less common than those
of classes [
        <xref ref-type="bibr" rid="ref10 ref17">17,10</xref>
        ] and that some ontologies are class-centric while others are
property-centric (e.g. SeasonTicketHolder versus holdsSeasonTicket) [
        <xref ref-type="bibr" rid="ref16">16</xref>
        ]. These
characteristics may impact the performance on alignment systems on property
matching.
      </p>
      <p>
        In 2002 Melnik and his colleagues developed a strategy called \similarity
ooding" to improve the performance of alignment systems [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ]. This was adapted
for ontology alignment by the developers of RiMOM [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ]. The basic idea is that
an initial pass is made through the datasets to establish a set of high
precision anchor mappings, such as exact string matches. Then similarity values are
propagated to adjacent nodes. If the similarity value of two nodes reaches a
threshold, they are considered equivalent. This technique may improve the
performance on property alignment by leveraging the increased accuracy of class
and instance alignment. Suchanek et. al. recently applied this ontology-oriented
similarity ooding approach in their PARIS alignment system, which identi es
both equivalences and subsumptions for classes and properties [
        <xref ref-type="bibr" rid="ref14">14</xref>
        ]. They found
that while class alignments did not facilitate alignment of properties or instances,
there was signi cant interplay between the latter two. This was particularly true
for functional or nearly functional properties, in which any domain value maps
to only one range value.
      </p>
      <p>
        There have been several attempts to modify the standard similarity
ooding approach to further improve the performance on property matching. For
example, comparison of instance data and datatype property range values can
be improved by using di erent similarity metrics for strings, dates, integers, etc.
[
        <xref ref-type="bibr" rid="ref20">20</xref>
        ]. Further, in deference to the di culty of matching properties, it is possible
to propagate a fraction of the normal similarity values when adjacent properties
are compatible rather than de nite matches. This is the approach taken in [
        <xref ref-type="bibr" rid="ref11">11</xref>
        ]
where compatibility for properties is de ned as those with domains and ranges
that are either the same or subtypes of one another.
      </p>
      <p>
        The PropString algorithm's consideration of the lexical similarity of the
domain and range of properties is somewhat similar to the work by Vizenor and
his colleagues in [
        <xref ref-type="bibr" rid="ref19">19</xref>
        ]. Their approach, which is focused on the biomedical
domain, used domain and range similarity as a sanity check on the alignment of
properties. PropString's extraction of the \core concept" within property labels
based on parts of speech is somewhat related to more general NLP mapping
approaches, such as that found in [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ].
6
      </p>
    </sec>
    <sec id="sec-5">
      <title>Conclusions and Future Work</title>
      <p>This work explored the performance of current ontology alignment systems on
property alignment using the OAEI Conference track as a benchmark. In
addition, a second benchmark involving property matches was suggested. The paper
also introduced PropString, an entirely string-based approach to aligning
properties. The performance of PropString was evaluated using both benchmarks
and was shown to be better than the best-performing string metric by a wide
margin. PropString also compared favorably to the PARIS alignment system on
the secondary benchmark, based on a crowdsourced evaluation of matches
using Mechanical Turk. While the performance of PropString is encouraging, the
f-measure on property still lags that of classes, and more work needs to be done
in this area.</p>
      <p>Several aspects of the work presented here require further validation. In
particular, additional experimentation regarding crowdsourcing reference
alignments using Mechanical Turk needs to be done to verify the potential uses of
the approach. For instance, our preliminary results showed that general users
can often give good input on \yes or no" alignment veri cation tasks but that
more complex questions regarding the type of relationship between two entities
(e.g. equivalence, subsumption, inverse properties) is more di cult. It would be
useful to develop guidelines for when and how to qualify users for di erent types
of alignment tasks. More work in particular remains to be done in order to
generate an established high-quality reference alignment for the YAGO-DBPedia
alignment task. In order to do this, we need to generate results on this ontology
pair using more alignment systems. These results can then be manually veri ed,
either through Mechanical Turk or by experts. Additionally, we would like to
incorporate the PropString approach into a full-featured alignment system and
evaluate the di erence in performance.</p>
      <p>Acknowledgments. This work was supported by the National Science
Foundation award 1017225 \III: Small: TROn|Tractable Reasoning with Ontologies."</p>
    </sec>
  </body>
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