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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Persian Plagiarism Detection Using Sentence Correlations</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Muharram Mansoorizadeh</string-name>
          <email>mansoorm@basu.ac.ir</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Taher Rahgooy</string-name>
          <email>taher.rahgooy@gmail.com</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Department of Computer engineering, Bu-Ali Sina University</institution>
          ,
          <addr-line>Hamedan</addr-line>
          ,
          <country country="IR">Iran</country>
        </aff>
      </contrib-group>
      <abstract>
        <p>This report explains our Persian plagiarism detection system which we used to submit our run to Persian PlagDet competition at FIRE 2016. The system was constructed through four main stages. First is pre-processing and tokenization. Second is constructing a corpus of sentences from combination of source and suspicious document pair. Each sentence considered to be a document and represented as a tf-idf vector. Third step is to construct a similarity matrix between source and suspicious document. Finally the most similar documents which their similarity is higher than a specific threshold marked as plagiarized segments. Our performance measures on the training corpus were promising (precision=0.914, recall=0.848, granularity=3.85). • Information systems➝Information retrieval ➝Retrieval tasks and goals. Near-duplicate and plagiarism detection.</p>
      </abstract>
      <kwd-group>
        <kwd>eol&gt;Persian PlagDet</kwd>
        <kwd>Plagiarism detection</kwd>
        <kwd>document retrieval</kwd>
        <kwd>tf-idf</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>-</title>
      <p>
        [1][
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        ][1][
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        ][
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        ][
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        ][
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        ][
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        ][
        <xref ref-type="bibr" rid="ref16">17</xref>
        ]
      </p>
    </sec>
    <sec id="sec-2">
      <title>1. INTRODUCTION</title>
      <p>
        Plagiarism in academia is rising and multiple authors have worked
to describe these phenomena [
        <xref ref-type="bibr" rid="ref10">11</xref>
        ]. As commented by Hunt in [
        <xref ref-type="bibr" rid="ref6">7</xref>
        ] ,
“Internet Plagiarism” is referred sometimes as a consequence of
the “Information Technology revolution”, as it proves to be a big
problem in academia. According to Park [
        <xref ref-type="bibr" rid="ref10">11</xref>
        ], plagiarism is
analyzed from various perspectives and considered as a problem
that is growing over time. To tackle this problem, the most
common approach so far is to detect plagiarism using automated
algorithms based on text processing and string matching
algorithms.
      </p>
      <p>
        Two main strategies for plagiarism detection have been
considered by researchers, namely, Intrinsic and external
plagiarism detection [
        <xref ref-type="bibr" rid="ref16">17</xref>
        ] [
        <xref ref-type="bibr" rid="ref4">5</xref>
        ]. Intrinsic plagiarism detection aims
at discovering plagiarism by examining only the input document,
deciding whether parts of the input document are not from the
same author. External plagiarism detection is the approach where
suspicious documents are compared against a set of possible
references. From exact document copy, to paraphrasing, different
levels of plagiarism techniques can be used in several contexts,
according to Meyer zu Eissen [
        <xref ref-type="bibr" rid="ref16">17</xref>
        ].
      </p>
      <p>
        For external plagiarism detection Stein, Meyer zu Eissen, and
Potthast [
        <xref ref-type="bibr" rid="ref14">15</xref>
        ] introduce a generic three-step retrieval process. The
authors consider that the source of a plagiarism case may be
hidden in a large reference collection, as well as that the detection
results may not be perfectly accurate. Figure 1 illustrates this
retrieval process. In fact, all detection approaches submitted by
the competition participants can be explained in terms of these
building blocks [
        <xref ref-type="bibr" rid="ref4">5</xref>
        ].
      </p>
      <p>The process starts with a suspicious document dq and a collection
D of documents from which dq’s author may have plagiarized.
Within a so-called heuristic retrieval step a small number of
candidate documents, Dx, which are likely to be sources for
plagiarism, are retrieved from D. Note that D can be as large as
the entire web. Hence, it is impractical to compare dq with all of
its members. Usually an initial inspection is made to select a
rough subset of D as prospective candidates. In a so-called
detailed analysis step, dq is compared section-wise with the
retrieved candidates. All pairs of sections (sq, sx) with sq ∈ dq and
sx ∈ dx, dx ∈ Dx, are to be retrieved such that sq and sx have a high
similarity under some retrieval model. In a knowledge-based
postprocessing step those sections are filtered for which certain
exclusion criteria hold, such as the use of proper citation or literal
speech. The remaining suspicious sections are presented to a
human, who may decide whether or not a plagiarism offense is
given.</p>
      <p>
        Given a set of suspicious and source documents written in
Persian, the plagiarism detection task of Persian PlagDetect
competition [
        <xref ref-type="bibr" rid="ref1">2</xref>
        ] at FIRE 2016, as an external plagiarism
detection setup, is to find all plagiarized sections in the suspicious
documents and, if available, the corresponding source sections.
The problem consists of a set of source and suspicious documents
and a list of source-suspicious pairs to evaluate. The challenge is
to find and locate plagiarized fragments in each suspicious and
source document for each pair. We tackle this challenge by using
a four-step method which is described in the following.
      </p>
    </sec>
    <sec id="sec-3">
      <title>2. RELATED WORK</title>
      <p>
        Text plagiarism is a long lasting game between authors and
publishers [
        <xref ref-type="bibr" rid="ref7">8</xref>
        ]. Automatic plagiarism detection has a story as long
as modern machine learning and text mining [
        <xref ref-type="bibr" rid="ref14">15</xref>
        ]. Plagiarism in
simplest case can be exact copying of others' published or
unpublished works. More advanced cases try to paraphrase stolen
ideas in different words [1]. Studies confirm that usually
plagiarists copy and paste the original text or just paraphrase it
keeping most of the text's keywords [
        <xref ref-type="bibr" rid="ref15">16</xref>
        ]. Text mining methods
can reveal these simpler but widely used cases of plagiarism [
        <xref ref-type="bibr" rid="ref9">10</xref>
        ].
Deep semantic analysis of texts is studied for detecting more
advanced paraphrasing cases [
        <xref ref-type="bibr" rid="ref2">3</xref>
        ].
      </p>
    </sec>
    <sec id="sec-4">
      <title>3. PROPOSED ALGORITHM</title>
      <p>In the following we describe the steps we took in order to find
plagiarized segments of the document pairs.</p>
    </sec>
    <sec id="sec-5">
      <title>3.1 Motivation</title>
      <p>
        In her MSc thesis [
        <xref ref-type="bibr" rid="ref15">16</xref>
        ], Zahra Taheri has investigated many
scientific plagiarism cases. Most of the cases were near-copy or
slightly modified versions of the original sentences. Any scientific
field has a common and widely accepted terminology that the
related community adopts in writing papers, books and other types
of publications. For example in machine learning literature the
term feature is used for describing attributes of objects. As a
dictionary term property is synonymous to feature but no one uses
property and property extraction instead of feature and feature
extraction in a scientific writing that discusses classification and
pattern recognition. Hence, a plagiarized text inherits many of
the main terms of the original text.
      </p>
      <sec id="sec-5-1">
        <title>Original sentence</title>
        <sec id="sec-5-1-1">
          <title>Boiling Point of Water is one hundred Degrees.</title>
        </sec>
      </sec>
      <sec id="sec-5-2">
        <title>Plagiarized sentences</title>
        <p>تسا دارگیتناس هجرد دص بآ شوج هطقن
Boiling Point of Water is one hundred Celsius degrees.
تسا سویسلس هجرد دص بآ شوج هطقن
تسا دارگیتناس هجرد 011 بآ شوج هطقن
دیآ یم شوج هب دارگیتناس هجرد دص رد بآ</p>
        <sec id="sec-5-2-1">
          <title>Boiling Point of Water is 100 degrees.</title>
        </sec>
        <sec id="sec-5-2-2">
          <title>Water boils at one hundred degrees</title>
          <p>If temperature of water reaches one hundred degrees, it will boil
دشوج یم ،دسرب دارگیتناس هجرد دص هب بآ یامد رگا</p>
          <p>دشوج یم دیهد ترارح هجرد دص ات ار بآ رگا
If you heat water up to one hundred degrees, it boils.
A syntactic example is demonstrated in Figure 2. Key terms in the
original sentence are water, boiling, and one-hundred. To
communicate the same concept, plagiarized versions of the
sentence had to use these terms with re-ordering and /or changing
verb tenses. This fact narrows down the task of plagiarism
detection to classic document matching and retrieval.</p>
          <p>Eq 1
Eq 2
Eq 3
Given a document collection D and a query document, q, find it's
most similar documents in D.</p>
          <p>The task is usually solved by representing documents in some
vector space and exploiting similarities between the query
document and the collection members in this space. Bag of words
representation of documents is a classic, yet powerful method for
document indexing and retrieval. In this method a document is
assumed to be the set of its terms, ignoring their relative positions
in paragraphs and sentences. A dictionary is the set of all the
distinct terms in the collection. A document, d, is represented by
a one-dimensional vector, v, in which vi denotes relative
importance of the i-th dictionary term in d. Using this
representation, similarities between documents can be estimated
by well-known techniques such as Euclidean distance or cosine of
their respective vectors. Usually vi is defined as function of
appearances of the word in the document and the whole
collection. Term frequency (TF) of term in a document is the
relative frequency of the term in the document.</p>
          <p>In this equation Fi is the frequency of i-th term in the document
and |.| denotes document length; i.e. total number of terms in the
document. Assuming that there totally N documents in the
collection and Ni of them contains i-th term, inverse document
frequency (IDF) is defined by equation Eq 2</p>
          <p>| |
Finally, as an importance measure of the word in a
document, tf-idf is defined as:
tf-idf favors terms with high frequency in the document but low
frequency in the collection. Common terms such as it, is, and what
that appear in most of the documents will have a low tf-idf value.
These so-called stop words cannot distinguish the documents
efficiently; hence usually are removed in pre-processing steps of
NLP tasks.</p>
          <p>
            We adopt tf-idf for representation and retrieval of matching
documents. Each source and suspicious document is firstly
tokenized and then split to sentences. This step is performed using
NLTK 3.0 toolkit [
            <xref ref-type="bibr" rid="ref3">4</xref>
            ]. Then, each sentence is treated as an
individual document. All the sentences of source and suspicious
documents constitute document collection.
          </p>
        </sec>
      </sec>
    </sec>
    <sec id="sec-6">
      <title>3.3 Similarity matrix construction</title>
      <p>In this step, the similarity matrix between source sentences and
suspicious sentences is calculated. If there are N source sentences
and M suspicious sentences, the similarity matrix S, has N×M
elements in which Si,j denotes the similarity between sentence i
from source document and sentence j from suspicious document.
There are many different similarity and distance measures. For
example an option is to use Euclidian distance, which measures
the distance between two vectors u and v in the encompassing
Euclidian space. In order to convert the distance to a similarity
measure we can use:
‖</p>
      <p>‖
Another choice that we used is cosine similarity:
‖ ‖‖ ‖
This measure can range from -1 to 1. When the value is 1, it
means that u and v are in the same direction and when it is -1, it
means that u and v are in the opposite directions. We use cosine
similarity in subsequent steps. Initial inspection and evaluation
confirmed that it has slightly better results than Euclidean
distance.</p>
    </sec>
    <sec id="sec-7">
      <title>3.4 Finding plagiarized fragments</title>
      <p>We used pairs of sentences which their similarity was greater than
a pre-specified threshold as plagiarized fragments for both source
and suspicious documents. The value we used as a threshold was
0.4, which is obtained through cross validation.</p>
    </sec>
    <sec id="sec-8">
      <title>4. EVALUATION</title>
      <p>
        The training results were obtained after we run our application on
TIRA platform [
        <xref ref-type="bibr" rid="ref5">6</xref>
        ] [
        <xref ref-type="bibr" rid="ref12">13</xref>
        ]. The evaluation measures used for this
task are precision, recall, and granularity. Another measure called
plagdet used to combine the aforementioned measures in order to
enable us to sort the results for all algorithms and compare them
in more objective way [
        <xref ref-type="bibr" rid="ref11">12</xref>
        ] [
        <xref ref-type="bibr" rid="ref13">14</xref>
        ].
      </p>
      <p>The detection granularity of detected documents collection R
under source documents collection S is defined as:
| ∈
| ∈
| |
∑ | |
∈
∈
Where SR ⊆ S are cases detected by detections in R, and
Rs ⊆ R are the detections of a given s:
The domain of gran(S, R) is [1, |R|], with 1 indicating the desired
one-to-one correspondence and |R| indicating the extreme case,
where a single s ∈ S is detected multiple times.</p>
      <p>
        Precision, recall, and granularity allow for a partial ordering
among plagiarism detection algorithms. To obtain an absolute
order they must be combined to an overall score:
Where F denotes the F-Measure, i.e., the weighted harmonic mean
of precision and recall. Log of granularity decreases its impact on
the overall score [
        <xref ref-type="bibr" rid="ref13">14</xref>
        ]. The results obtained by our algorithm are
showed in table 1.
Eq 5
Eq 6
Eq 7
      </p>
    </sec>
    <sec id="sec-9">
      <title>5. CONCLUSION</title>
      <p>In this paper, we proposed a sentence-level algorithm based on
tfidf features for plagiarism detection task, which shows
competitive results on the training data.</p>
      <p>The algorithm works is designed for near-copy and paraphrasing
types of plagiarism. It relies on the fact that a plagiarist willing to
publish an article in a scientific field must use popular
terminology of the field. Obviously sophisticated cases such as
cross language plagiarism or grabbing another ones idea and
discussing it in one's own words would hard to be detected by this
algorithm. In the future works we will consider improving the
feature vector of the sentences by incorporating more features and
also to use a method to combine overlapping fragments.
Furthermore we will study language modeling and semantic text
normalization for detecting harder cases of plagiarism.</p>
    </sec>
    <sec id="sec-10">
      <title>6. REFERENCES</title>
      <p>[1] Alzahrani, S.M., Salim, N. and Abraham, A., 2012.</p>
      <p>Understanding plagiarism linguistic patterns, textual features,
and detection methods. IEEE Transactions on Systems, Man,
and Cybernetics, Part C (Applications and Reviews), 42(2),
pp.133-149.</p>
    </sec>
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