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<article xmlns:xlink="http://www.w3.org/1999/xlink">
  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Extraction of Semantic Relations between Concepts with KNN Algorithms on Wikipedia</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Alexander Panchenko</string-name>
          <email>panchenko.alexander@gmail.com</email>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Sergey Adeykin</string-name>
          <email>adeykin90@gmail.com</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Alexey Romanov</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Pavel Romanov</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Bauman Moscow State Technical University, Information Systems dept. (IU5)</institution>
          ,
          <country country="RU">Russia</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>Université catholique de Louvain</institution>
          ,
          <addr-line>Centre for Natural Language Processing</addr-line>
          ,
          <country country="BE">Belgium</country>
        </aff>
      </contrib-group>
      <fpage>78</fpage>
      <lpage>86</lpage>
      <abstract>
        <p>This paper presents methods for extraction of semantic relations between words. The methods rely on the k-nearest neighbor algorithms and two semantic similarity measures to extract relations from the abstracts of Wikipedia articles. We analyze the proposed methods and evaluate their performance. Precision of the extraction with the best method achieves 83%. We also present an open source system which effectively implements the described algorithms.</p>
      </abstract>
      <kwd-group>
        <kwd>semantic relations</kwd>
        <kwd>information extraction</kwd>
        <kwd>Wikipedia</kwd>
        <kwd>KNN</kwd>
        <kwd>MKNN</kwd>
        <kwd>semantic similarity measure</kwd>
        <kwd>computational lexical semantics</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>Introduction</title>
      <p>
        There exist many types of semantic relations between words (concepts) – synonymy,
metonymy, antonymy, association, etc. In the context of this work, semantic relations
are synonyms, hypernyms, and co-hypernyms (words with a common hypernym).
These relations are successfully used in various NLP applications, such as word sense
disambiguation [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ], query expansion [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ], document categorization [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ] or question
answering [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ]. Semantic relations are fixed manually in various linguistic resources,
such as thesauri, ontologies, and synonym dictionaries. However, existing resources
are often not available for a given NLP application, domain, or language.
Furthermore, manual construction of the required semantic resources is an extremely
expensive and time-consuming process. This motivates the development of new relation
extraction methods.
      </p>
      <p>
        A popular approach to relation extraction is based on the lexico-syntactic patterns
[
        <xref ref-type="bibr" rid="ref5">5</xref>
        ]. The main drawbacks of this approach are complexity of pattern construction and
their language dependency. Methods, based on the distributional analysis [
        <xref ref-type="bibr" rid="ref6 ref7">6, 7</xref>
        ], do
not require any manual labor, but are less precise [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ]. Recently, the measures of
semantic similarity based on Wikipedia1 have been proposed [
        <xref ref-type="bibr" rid="ref10 ref11 ref9">9, 10 ,11</xref>
        ]. Wikipedia is
attractive for text mining as it contains articles about all the main domains written in
all the main languages. Furthermore, it is constantly updated by users.
Wikipediabased measures show excellent results on the task of correlation with human
judgments. Until now, these measures were not used to extract semantic relations.
      </p>
      <p>
        The approach described in this work fills this gap, and focuses on the application
of Wikipedia-based similarity measures to semantic relation extraction. The goal of
the method proposed in this article is to discover a set of relations between a set of
input concepts (e. g. terms of a given domain). In this work, we deal with linguistic
concepts, such as words or multiword expressions (not to be confused with a similar
notion from the Formal Concept Analysis [
        <xref ref-type="bibr" rid="ref23">23</xref>
        ]). The proposed method does not return
the type of the relationship between words, i. e. . The method is
computationally efficient, sufficiently precise for the practical NLP applications, and can be
applied for the languages available in Wikipedia. The main contributions of this paper
are the following:
1. The new semantic relation extraction methods, which rely on the texts of
Wikipedia articles, k-nearest neighbors algorithms (KNN and MKNN), and two similarity
measures (Cosine and Gloss Overlap).
2. An Open Source system Serelex (LGPLv3), which efficiently implements the
proposed methods.
      </p>
      <p>In Section 2, we introduce our approach to semantic relation extraction. First, we
describe the data and how they are preprocessed in Section 2.1. Next, we discuss the
algorithms of semantic relation extraction (Section 2.2) and the used measures of
semantic similarity (Section 2.3). Finally, we present key details of the extraction
system Serelex (Section 2.4). In Section 3, the experimental results are presented and
discussed. Section 4 deals with the related work and Section 5 wraps up with a
conclusion and a description of the future research.
2
2.1</p>
    </sec>
    <sec id="sec-2">
      <title>Semantic Relation Extraction Methods</title>
      <sec id="sec-2-1">
        <title>Data and Preprocessing</title>
        <p>Input data of the method is a set of definitions for each input concept .
We use the data available from the DBPedia.org to build a set of definitions of
English terms (multi-word expressions are not included)2. For each input concept a pair
is built, where concept is an exact title of a Wikipedia article, and definition
is a text of the first paragraph of this article. The experiments described in this work
were conducted on a subset of articles with titles containing no numbers and special
symbols. We collected 327.167 Wikipedia articles according to this principle. For the
goals of our experiments, we prepared two datasets containing 775 words (824Кb)
and 327.167 words (237Мb) respectively3.</p>
        <p>
          Articles were preprocessed as follows. First, we removed all markup tags and
special characters. Second, we performed lemmatization and part-of-speech tagging with
the TreeTagger [
          <xref ref-type="bibr" rid="ref12">12</xref>
          ]. As a result, each word was represented as a triple
“to2 We used the file http://downloads.dbpedia.org/3.7/en/long_abstracts_en.nt.bz2
3 Data are available at: http://cental.fltr.ucl.ac.be/team/~panchenko/def/
ken#POS#lemma”, for instance “proved#VVN#prove”. An example of a definition in
this format is provided below:
        </p>
        <p>axiom; in#IN#in traditional#JJ#traditional logic#NN#logic ,#,#, an#DT#an
axiom#NN#axiom or#CC#or postulate#NN#postulate is#VBZ#be a#DT#a
proposition#NN#proposition that#WDT#that is#VBZ#be not#RB#not proved#VVN#prove
or#CC#or demonstrated#VVN#demonstrate but#CC#but considered#VVN#consider
to#TO#to be#VB#be either#RB#either self-evident#JJ#self-evident ,#,#, or#CC#or
subject#JJ#subject to#TO#to necessary#JJ#necessary decision#NN#decision
.#SENT#.</p>
        <p>
          Senlar [
          <xref ref-type="bibr" rid="ref19">19</xref>
          ] and other researchers [
          <xref ref-type="bibr" rid="ref7">7</xref>
          ] mention that the methods based on the
syntactic analysis achieve higher results than the methods based only on the
part-ofspeech tagging. However, in our method we intentionally do not use the syntactic
analysis for two reasons. Firstly, the computational complexity of the parsing
algorithms is very high. Secondly, such a complex linguistic analysis makes the method
less robust. Prior researches suggest that quality of parsing in different languages is
very different [
          <xref ref-type="bibr" rid="ref22">22</xref>
          ]. Moreover, the standard parsers make a lot of errors in the
sentences which contain named entities and technical terms, the lexical units which are the
most valuable in the context of information extraction.
2.2
        </p>
      </sec>
      <sec id="sec-2-2">
        <title>Algorithms of Semantic Relation Extraction</title>
        <p>
          Algorithms of semantic relation extraction discussed in this article, are based on the
component analysis [
          <xref ref-type="bibr" rid="ref13 ref14">13, 14</xref>
          ], which states that semantically similar words have
similar definitions. The proposed methods use one of two similarity measures: Gloss
Overlap of definitions [
          <xref ref-type="bibr" rid="ref15">15</xref>
          ] or Cosine between vectors of definitions [
          <xref ref-type="bibr" rid="ref16">16</xref>
          ]. The method
takes as an input a set of concepts and outputs a set of relations between them.
Assume that the algorithm is processing the 5 following concepts:
. Its goal would be to
recogout
nize the set of semantic relations
of 10 possible pairs of concepts.
        </p>
        <p>The first algorithm calculates semantic relations with the KNN algorithm, the
second relies on the MKNN (Mutual KNN) algorithm. The only meta-parameter of the
algorithms is the number of nearest neighbors . The algorithms are presented in
Fig.1.</p>
        <p>The algorithms first calculate pairwise similarities between all the input terms
(lines 1-12). The array of the nearest neighbors Rmatrix contains nearest neighbors
of each term. We keep the number of elements in each row of Rmatrix equals
which let us minimize the memory footprint. The last stage for the KNN is simply to
print the nearest neighbor concepts for each concept. In contrast to KNN, MKNN
establishes a relation only if a pair of words are mutual neighbors (lines
1321). Therefore, MKNN filters out those relations extracted by KNN which are not
mutually related.</p>
        <p>Complexity of the developed algorithms is a function of the number of input
concepts | |. Time complexity is | | and space complexity is | | , where is
the number of nearest neighbors.
Function similarity (line 6) in the algorithms KNN and MKNN calculates a
pairwise semantic similarity of two concepts , from their definitions .
The larger the value of semantic similarity, the closer the “sense” of the concepts.
Two similarity functions are considered here. The first is the gloss overlap of the
definitions of the concepts :
(
)
|</p>
        <p>|
| | | |</p>
        <p>Here the numerator is the number of the common words in the definitions; | | is
the number of words in the definition . The second measure is the cosine between
vectors of definitions representing concepts :
∑
(
)
‖ ‖ ‖
‖
√∑
√∑</p>
        <p>Here is the frequency of the lemma in the definition . The both similarity
measures use the lemmas (e. g., animals#NNS#animal), and do not use stopwords
found in the definitions. For the both of similarity measures only matches of the
nouns (NN, NNS, NP), verbs (VV, VVN, VVP), and adjectives (JJ) are considered.</p>
      </sec>
      <sec id="sec-2-3">
        <title>Relation Extraction System Serelex</title>
        <p>The system is a console application implemented in C++ and available for Windows
and Linux platforms (32/64 bits). It consists of the definition class, global parameters
class, component analysis class, and several additional classes and functions (see
Fig.2). The main functions of the program are:
 loading files of stopwords and input concepts ;
 loading the file with definitions taking into account the stopwords;
 calculation of the pairwise semantic similarities between the input concepts ;
 building the list of the semantic relations .</p>
        <p>In order to achieve high performance of the system, we map each word to a
numerical identifier. This procedure significantly reduces running time of the program. The
system extensively uses the Standard Template Library (STL) and the Boost library4.
The source code and the binaries of the Serelex are available under the conditions of
the LGPLv3 license at https://github.com/AlexanderPanchenko/Serelex.
We investigated the algorithms KNN and MKNN with the two measures described
above and with various numbers of nearest neighbors (see Fig. 3). As one may
expect, the number of extracted relations linearly depends on the number of nearest
neighbors both for KNN and MKNN. The number of extracted relations depends
little on the similarity measure type. The key difference between the two measures is
that Cosine takes into account frequencies, while Gloss Overlap does not. The little</p>
        <sec id="sec-2-3-1">
          <title>4 Boost C++ libraries: http://www.boost.org/</title>
          <p>difference in the results is likely to be due to the fact that the definitions are short.
Thus, frequency information does not contribute a lot to the result.</p>
          <p>The algorithm KNN extracts more relations than the MKNN for the same value of
. It happens because the MKNN filters out pairs of concepts which are not mutual
nearest neighbors. According to our experiments, MKNN filters around 50-70% of
the relations extracted by KNN, depending on the number of the concepts | | and the
value of .</p>
          <p>We estimated the precision of the extraction between a set of 775 concepts for
both algorithms with . In order to measure the precision, we manually labeled
the files with the extracted relations. The precision was calculated as the number of
correctly extracted relations to the number of extracted relations. The results are
presented in Table 1. The examples of extracted relations between a set of 775 concepts
with algorithm MKNN ( ) and the gloss overlap similarity measure are presented
below5:</p>
          <p>
            Due to the huge number of extracted relations (see Fig. 3), it is hard to calculate
manually the extraction precision for all values of . We expect the precision to
decrease for values of . According to our preliminary experiments, we recommend
to use the number of the nearest neighbors . In future, we plan to use the
WordNet [
            <xref ref-type="bibr" rid="ref17">17</xref>
            ] and the standard evaluation datasets, such as BLESS [
            <xref ref-type="bibr" rid="ref18">18</xref>
            ], to estimate
the precision of the method more robustly.
          </p>
          <p>The performance of the developed system is rather high. For instance, the file
with 775 definitions is processed for less than 3 seconds on a Linux server equipped
with Intel(R) Xeon(R) CPU E5606@2.13GHz (the program does not use
multithreading). The algorithm KNN used with the measure Gloss Overlap processes the file with
the 327.167 definitions within 3 days 3 hours and 47 minutes.
5 The full list of the extracted relations with this configuration is available at
http://cental.fltr.ucl.ac.be/team/~panchenko/def/results-775/overlap_mknn_2.csv</p>
        </sec>
      </sec>
      <sec id="sec-2-4">
        <title>Algorithm</title>
        <p>KNN</p>
        <sec id="sec-2-4-1">
          <title>MKNN</title>
        </sec>
      </sec>
      <sec id="sec-2-5">
        <title>Similarity</title>
      </sec>
      <sec id="sec-2-6">
        <title>Measure</title>
        <p>Cosine
Gloss overlap
Cosine
Gloss overlap
4</p>
      </sec>
    </sec>
    <sec id="sec-3">
      <title>Related Work</title>
      <p>
        Senlar [
        <xref ref-type="bibr" rid="ref19">19</xref>
        ] presents a recent overview of semantic relation extraction methods based
on text corpora and electronic dictionaries. The automatic thesaurus construction
system SEXTANT extracts relations between words with precision around 75%.
Measures of semantic similarity based on the Web achieve precision in TOEFL
synonymy test up to 74%.
      </p>
      <p>
        WikiRelate! is the most similar system to ours. It was proposed by Strube and
Ponzetto in 2006 [
        <xref ref-type="bibr" rid="ref9">9</xref>
        ]. The main differences of our method and the system from this
development are the following:
 Serelex extracts semantic relations, while WikiRelate! only implements a semantic
similarity measure;
 The source code of WikiRelate! is not available, while the binary version is
available only for research purposes. The source code of Serelex is available under the
conditions of the industry-friendly LGPLv3 license;
 Serelex can calculate similarity not only between texts of Wikipedia, but also
between any other definitions represented in the corresponding format;
 Serelex implements two measures of similarity (Cosine and Gloss Overlap), while
WikiRelate! implements only the Gloss Overlap measure. Furthermore, the
designers of the system implement the Gloss Overlap in a different way: they count each
match of -gram as matches;
 Serelex does not use the category lattice of Wikipedia.
      </p>
      <p>WikiRelate! achieves a correlation with human judgments of 0.59. However, since
WikiRelate! does not extract relations, we cannot directly compare its performance
with our results.</p>
      <p>
        In [
        <xref ref-type="bibr" rid="ref10">10</xref>
        ] and [
        <xref ref-type="bibr" rid="ref11">11</xref>
        ], the authors proposed alternative measures of semantic similarity
based on texts of Wikipedia. However, those approaches are less similar to Serelex
than the WikiRelate!. In particular, these measures represent the concepts in a vector
space of all Wikipedia articles, while Serelex uses the traditional bag-of-words space.
Nakayama et al. [
        <xref ref-type="bibr" rid="ref20">20</xref>
        ] suggested yet another relation extraction method based on
Wikipedia, which is significantly different from our method. The authors use the
hyperlinks structure of Wikipedia articles to infer associations between words. Finally,
Milne et al. [
        <xref ref-type="bibr" rid="ref21">21</xref>
        ] suggested to extract synonyms, hyponyms, and associations from
Wikipedia category lattice, and other structure and navigational elements of
Wikipedia.
      </p>
    </sec>
    <sec id="sec-4">
      <title>Conclusion</title>
      <p>We proposed and analyzed the method for semantic relation extraction from texts of
Wikipedia with algorithms KNN and MKNN and two semantic similarity measures.
The preliminary experiments showed that the best results (precision of 83%) are
obtained with the method based on MKNN algorithm and Gloss Overlap similarity
measure. We also presented an open source system, which efficiently implements the
proposed method.</p>
      <p>
        The developed method seems to be enough precise and computationally efficient
for the practical NLP applications. Currently, we are working on integration of the
extracted semantic relations in a text categorization system [
        <xref ref-type="bibr" rid="ref24">24</xref>
        ]. Another application
of the extracted relations, which we would like to investigate, is query expansion.
      </p>
      <p>The method is able to calculate relations between a huge number of concepts, each
of which is represented by a title of a Wikipedia article. Thus, it could be used to
extract relations between 3.8 million of concepts in English Wikipedia and 17 million of
concepts in other 282 languages of Wikipedia. The only language-dependent
resources used in the method are stoplist, part-of-speech tagger, and lemmatizer. These
resources are available for the most of the European languages for free. Finally,
Serelex can extract relations from other sources of definitions, such as traditional
dictionaries or Wiktionary, provided these data are provided in the proper format.</p>
      <p>The main directions of our future research are: (1) using the developed method to
extract relations in Russian, French, and German languages; (2) improving the
precision of the extraction by clustering of the obtained semantic relations graph.</p>
    </sec>
    <sec id="sec-5">
      <title>Acknowledgments</title>
      <p>Yuri Philippovich, Adrien Dessy, Olga Morozova, Nicolas Danhier, and three
anonymous reviewers provided comments and remarks, which considerably improved
quality of the paper. Alexander Panchenko thanks Wallonie-Bruxelles International
(WBI) foundation for the support.</p>
    </sec>
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