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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Using a Variety of n-Grams for the Detection of Different Kinds of Plagiarism</article-title>
      </title-group>
      <contrib-group>
        <aff id="aff0">
          <label>0</label>
          <institution>University of Alabama at Birmingham</institution>
          ,
          <country country="US">USA</country>
        </aff>
      </contrib-group>
      <pub-date>
        <year>2013</year>
      </pub-date>
      <abstract>
        <p>A text can be plagiarised in different ways. The text may be copied and pasted word by word, parts of the text may be changed, or the whole text may be summarised into one or two lines. Different kinds of plagiarism require different strategies to detect them. But rarely do we know beforehand what type of plagiarism we are dealing with. In this paper we present a system that can detect verbatim plagiarism and obfuscated plagiarism with similar accuracy. Our system uses three different types of n-grams: stopword n-grams, n-grams with at least one named entity, and all words n-grams. After detecting and merging the detections to obtain passages, the system finds new detections incrementally based on the idea that the passages on the vicinity of plagiarised passages are more likely to be plagiarised. The system performs well on verbatim as well as obfuscated plagiarism cases.</p>
      </abstract>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>Introduction</title>
      <p>Plagiarism detection is the task of finding out plagiarised portions within a piece of text.
The process of extrinsic plagiarism detection can be clearly separated into two steps:
source retrieval and text alignment. Source retrieval involves pointing out all the source
documents, parts of which might have been reused in a given suspicious document.
After source documents have been recovered by the source retrieval step, the next step is
text alignment. The purpose of text alignment is to locate plagiarised content in the
suspicious document along with the corresponding original text in the source document. If
however, there are no detections, the suspicious document will be categorised as being
non-plagiarised. The focus of the source retrieval task is on efficiently labeling a small
number of documents as source from a huge pool of documents, whereas the focus of
text alignment is on accurately finding out the plagiarised content. This paper deals with
the latter.</p>
      <p>In the passage retrieval task of PAN-CLEF 2013, a pair of suspicious and source
documents is given. From this pair a participant’s program has to identify all the plagiarised
passages in the suspicious document and the corresponding original passages in the
source document.</p>
      <p>In order to compare two documents, they must first be divided into segments. A
common technique used is sliding windows of n-grams. Both character and word n-grams
have been used in previous approaches. The windows can either be overlapping or
nonoverlapping. The former requires more comparisons and hence gives better accuracy
in most cases, while the latter requires less comparisons and hence less computational
time.</p>
      <p>Our system uses n-grams having different characteristics to find out plagiarism ranging
from verbatim plagiarism to plagiarism with different levels of obfuscation. Our system
extracts the following types of n-grams:</p>
      <sec id="sec-1-1">
        <title>Stopword n-grams</title>
        <p>n-grams of just the stopwords present in the document</p>
      </sec>
      <sec id="sec-1-2">
        <title>Named entity n-grams</title>
        <p>n-grams containing at least one named entity</p>
      </sec>
      <sec id="sec-1-3">
        <title>All word n-grams</title>
        <p>n-grams of all the words in the document
Comparison of stopword n-grams by exact matching is good for detecting no
obfuscation to moderate obfuscation cases. But this method cannot catch plagiarised passages
that have high word shuffling, unless the value of n is really small. However, using very
low value of n for stopwords will greatly increase the number of false positives. Also,
in the worst scenario, an obfuscating algorithm could shuffle words to a point that even
the meaning of the text might be lost. Performing unordered matches useful in this case.
Performing unordered matches useful in this case. But since stopwords are so common,
allowing for unordered matches will again result in a lot of false positives.
Unlike stopwords named entities are not very common. Comparison of two named
entity n-grams by finding out the common words between the two can catch even the high
obfuscation cases while at the same time, keeping the number of false positives low.
But because of the same reason that they are not very common, this comparison does
not contribute much to the detections.</p>
        <p>In order to increase the number of detections, a more lenient method is required.
Comparison of all word n-grams in the same way as named entity n-grams is lenient enough
to find very highly plagiarised passages. But this method produces a lot of false
positives. A condition that there must be at least some number of detections adjacent to
each other for those detections to be counted eliminates most of these false positives.
Consider the following example extracted from the randomly obfuscated case of PAN’13
training data:
Source text Years later, a sword called "Souunga" reappears and recalls Takemaru
from the grave, and Takemaru decides he wants to play dogcatcher
Plagiarised Suspicious text Years, sword called "Souunga" reappears and grave,
Takemaru decides he wants to play dogcatcher. . .</p>
        <p>Here, the stopword n-gram method will not work even if n is lowered to 4. Only if
3-grams are considered, a 3-gram containing and, he, to will be detected. All word
ngram comparison will detect this plagiarised text for a range of values of n. One such
example is when n is taken as 8 and the source and suspicious 8-grams are required
having 5 common words for them be counted as plagiarised. In the example, the first
8-grams of the source and suspicious documents have six common words. The next pair
of 8-grams has five common words. So, these n-grams will be counted as plagiarised.
Since this example also contains named entities such as Takemaru and Souunga, named
entity n-gram method will also detect this.</p>
        <p>After the detections have been merged into passages, some more plagiarised sections
can be detected while keeping the number of false positives low by searching only in the
adjacent parts of those already detected passages. After merging these new detections
with the previous ones, the end result will be a good number of correct detections for a
range of obfuscations.
2</p>
      </sec>
    </sec>
    <sec id="sec-2">
      <title>Related Work</title>
      <p>
        The stopword n-grams approach used in this paper was originally proposed by
Stamatatos in [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ]. The main idea behind that paper is that stopwords represent the
syntax of the document. By using stopwords, it is possible to find plagiarism in texts in
which there exists moderate obfuscation such as synonym replacement. According to
Stamatatos, stopword n-grams can be used in plagiarism detection because stopwords
represent the structure of the document, which cannot be changed easily if the meaning
needs to be preserved.
      </p>
      <p>
        The PAN’12 plagiarism detection summary paper summarizes all the approaches used
to solve the task in that year [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ]. Among the systems submitted during PAN’12, the task
of document retrieval consisted of the following phases: seeding (finding matches
between segments of the documents), match merging (obtaining paragraphs of maximum
possible length from these seeds) and extraction filtering (filtering out overlapping
passages and too short passages). Our system goes through these same phases in order to
detect plagiarised sections of the text.
      </p>
      <p>
        For comparison of documents, the participants of the competition in 2012 have mostly
used sorted and/or unsorted n-grams of words and characters. Suchomel et al. have used
the idea of comparison using multiple similarity measures that they call common
features [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ]. They have used lexicographically sorted word 5-grams and stopword 8-grams
as their common features. In order to improve granularity, they have applied heuristics
based upon these features. Kong et al. use sentences as the basic unit of comparison
and they take cosine distance and the overlap between two sentences as the marker of
similarity between those sentences [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ].
      </p>
      <p>
        Barrón-Cedeño and Rosso in [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ] have tried to investigate the best value for n when
performing an n-gram comparison. They used word n-grams in their method and found out
that low values of n such as 2 to 3 generally work better.
3
      </p>
    </sec>
    <sec id="sec-3">
      <title>Methodology</title>
      <p>This section discusses the steps that we took in building our system. Since n-grams
are the main components of our approach, we first extracted the necessary kinds of
n-grams from both the source and suspicious documents. We used overlapping
windows with a single word step. We compared these n-grams of source and suspicious
documents to create seeds. Then we merged the seeds that were close enough in both
suspicious and source documents in order to obtain plagiarised passages in both source
and suspicious documents. After this we applied a postprocessing step in which we
compared the parts of the document that were in the vicinity of already detected
passages. Finally, we merged these newly detected passages as well. As mentioned before,
out approach includes three steps: seeding, matching and postprocessing. We provide a
detailed discussion of each below.
3.1</p>
      <sec id="sec-3-1">
        <title>Seeding</title>
        <p>
          Stopword n-grams We took a list of stopwords as used by Stamatatos in [
          <xref ref-type="bibr" rid="ref7">7</xref>
          ]. Using
this list as reference, we found out all the stopwords in the document and then created
n-grams from these stopwords. After this, we compared each n-gram of the suspicious
document and each n-gram of the source document by finding out exact matches
between them.
        </p>
        <p>Named entity n-grams Similarly as above, we first found out all the named entities
present in the document. Then we took all the word n-grams containing each of these
named entities, i.e. if we detected a named entity ‘x’, we used as seeds all the word
n-grams starting from the one that has ‘x’ as the first word to the n-gram that has ‘x’
as the last word. We then compared each n-gram in the suspicious document with each
n-gram in source document. We found out the count of common words between each
n-gram and if it was above a certain threshold called cmatch, we considered that n-gram
as detection. We took cmatch as a function of n.</p>
        <p>All word n-grams Finally, we also computed n-grams of all words in the source and
the suspicious document. The method used for comparison was similar to that used in
the comparison of named entity n-grams.</p>
        <p>For all three methods described above, we chose parameters empirically by
measuring performance on the training set. We used those values that produced a good balance
between precision and recall.
3.2</p>
      </sec>
      <sec id="sec-3-2">
        <title>Matching</title>
        <p>After obtaining the seeds, we combined them to form passages. Two detections were
merged to create a single passage if they were close enough in both the source and
suspicious documents. We considered two detections as being close to each other if the
gap between them was less than six words.</p>
        <p>For the stopword n-grams method, we performed the matching step separately because
doing so was less computationally expensive. We then merged the passages obtained
this way with the passages obtained by using the other two methods. Due to this reason,
we had many overlapping passages. We dealt with overlapping passages by using the
following method. If one passage was fully contained by another in both the source and
suspicious documents, we completely removed the shorter passage. If overlap existed
between two passages in both the source and suspicious documents, we merged them
into a single passage. But if overlap existed between two passages in only one of either
the source or suspicious document, we truncated the shorter one (in terms of number of
characters) in order to get rid of the overlap.
3.3</p>
      </sec>
      <sec id="sec-3-3">
        <title>Postprocessing</title>
        <p>We performed postprocessing based upon the idea that the passages on the vicinity
of plagiarised passages are more likely to be plagiarised. In the suspicious document,
we took the words that were in the 30-word neighbourhood of a detected passage and
computed the n-grams. We then compared these with n-grams computed from the
corresponding source passage along with the 30-word neighbourhood of the source passage.
We employed a more relaxed all word n-grams method for postprocessing.
Since stopword n-grams and n-grams with named entities are very strict, the
probability of obtaining false positives with these is very low. When we used only these two
methods, the precision was very high but the recall was high only for no-obfuscation
cases. We then tried a more lenient method by making use of all word n-grams. Adding
this to the system increased recall for higher obfuscation cases. But now, precision was
too low due to a lot of false positives being detected. To the all word n-grams method,
we added a criterion that for some detection to be counted, it should constitute at least
n+2/3n consecutive detections. Since the method employed for postprocessing also had
a tendency to give low precision, we applied the same criteria here as well. We repeated
the postprocessing step three times to check for new matches in the boundaries of new
detections. At each step of the iteration, we applied the n+2/3n detections criterion and
merged the new detections with one another before merging them with the previously
detected passages. We allowed a gap of 8 words in this step.
4</p>
      </sec>
    </sec>
    <sec id="sec-4">
      <title>Experimental Setting</title>
      <p>
        In this section we provide a description of resources used and the details necessary to
implement our system. First and foremost was the task of creating n-grams. For this,
we had to begin by dividing the document into words. We removed all the periods in
the document and then tokenized the whole document into words by using the
PunktWordTokenizer of Python Natural Language Toolkit [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ]. We used PunktWordTokenizer
because it separates punctuations other than periods. After obtaining this list of words
from the documents, we used it to create our n-grams. In order to find out the named
entities present in the document, we used the Stanford-NER [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ]. Since a single named
entity can have more than one word, such as "The University of Alabama at
Birmingham", we considered only those n-grams that contained all words of the named entity
and not just some words of it.
      </p>
      <p>While seeding, we compared each named entity in the suspicious document with each
one in the source. We represented seeds as a pair of suspicious and source n-gram
indices. After seeds were obtained, we performed merging. Merging produced passages
that were represented as a pair of seeds consisting of the first seed belonging to the
passage and the last seed belonging to the passage. For the competition, we needed the
results as character indices and lengths. Since converting from word index to character
index was a computationally expensive task, we used word indices during the merging
step and then converted the obtained passages to character indices rather than
converting each detection to character indices first.</p>
      <p>In order to merge the seeds, we sorted them by their suspicious document n-gram index
and then by source document n-gram index. Then we iterated over this list and kept on
merging the seeds into a single passage until the difference between the index of the
last word of the last n-gram in the current passage and the index of the current seed was
greater than a predefined threshold either in the source or suspicious document. If there
were two detections in the source document for the same n-gram in the suspicious
document, this algorithm might split passages. We dealt with this in the case of stopword
n-grams by removing the one that would create a shorter passage.</p>
      <p>However, named entity n-gram comparison and all word n-gram comparison were not
performed by exact matching and only a fraction of the words in the n-grams need to
be common for them to be counted as seeds. This creates a different scenario. Let us
consider the following case: if n-gram with index u1 in suspicious document and
ngram with index r1 in the source document have more than cmatch common words, u1
and r1 pair will surely be counted as detection. But so will u1+1 and r1 pair, u1 and
r1+1 pair and other such combinations. Even if the number of common words is equal
to cmatch, this case may occur. So, we did not remove duplicate detections in this case
during matching but did so after passages were already obtained.</p>
      <p>We removed all passages shorter than n+2/3n in the case of all word n-grams.
5</p>
    </sec>
    <sec id="sec-5">
      <title>Results</title>
      <p>We tested our system on the corpus provided for the PAN’13 competition. The corpus
contains sets of source and suspicious document pairs categorised according to the type
of plagiarism in them. The first is a set of non-plagiarised document pairs. Along with
that there are four sets of plagiarised document pairs with different levels of
obfuscation. The no obfuscation set has documents that have content plagiarised without any
obfuscation. Random obfuscation set contains documents with artificially obfuscated
passages. The translation obfuscation set has document pairs in which the passages are
machine translated into various languages before being translated back to English. The
summary obfuscation set of documents have plagiarised passages that have been
summarised by humans.</p>
      <p>
        The metrics used in the PAN competition for assessment of the results are
macroaveraged precision and recall, granularity and pladget as proposed by Potthast et al [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ].
The results obtained for training and test set are shown in Tables 1 and 2 respectively.
      </p>
      <p>Plagiarism Type Pladget Precision Recall Granularity
No Obfuscation 0.89040 0.99723 0.80425 1.00000
Random Obfuscation 0.67649 0.90482 0.71842 1.27195
Translation Obfuscation 0.62194 0.87069 0.61710 1.23666
Summary Obfuscation 0.12174 0.91405 0.10747 1.98930</p>
      <p>Table 1. Evaluation results for the training corpus</p>
      <p>The results show that our approach works for the no obfuscation, random
obfuscation and translation obfuscation cases. Except for the system that won the competition,
other systems that do well in the no obfuscation case do not perform well in the higher
obfuscation cases and vice versa. Their approaches might either be too strict and thus
more focused towards detecting no obfuscation plagiarism correctly or more lenient
and thus more focused towards detecting plagiarism with higher levels of obfuscation
correctly. On the other hand, our approach produces a more balanced result across
different forms of plagiarism. We have used both strict (stopwords and named entities) and
lenient (all-words) methods as described in previous sections and combined them in a
way that the lenient method will not take down the precision. When we first used
allwords, the recall for random obfuscation increased but the precision for no obfuscation
decreased by more than 20%. After we added the condition that there must be at least
n+2/3n consecutive detections for them to be counted, the precision for no obfuscation
increased to a similar value as before.</p>
      <p>But our system fails to catch most of the plagiarism in the summary obfuscation case.
We were not particularly focused on the summary obfuscation case. We will need to do
a deeper semantic analysis of the text in order to catch these. But as evidenced by the
results of other participants in the competition, better recall in this case is more likely
to come at cost of less precision in the no obfuscation case.</p>
      <p>Although we removed a lot of short detections and allowed for gaps between seeds so
that they would be merged into a single passage, our granularity is not as good as some
of the other systems. To improve granularity, we removed passages that were shorter
than n+cmatch in length. Better granularity could be achieved by removing longer
passages but that might hurt recall if we end up removing true positives. We dealt with
passages that overlapped only in suspicious document by attributing the overlap to the
longer of the two passages. Granularity would be improved by completely removing
the other passage but it would hurt recall. Hence we opted not to do so.
Most of the plagiarised parts that we missed consisted of instances where the words
were highly shuffled or had comparatively large chunks of text removed from them.
Decreasing cmatch without changing n to make the system more lenient would be able
to catch some of the detections missed by our current system. But doing so will
introduce a lot of false positives, hence reducing the precision. Increasing n while keeping
the ratio of cmatch constant will capture plagiarism in the case where adjacent words
have been moved very far from each other. But by doing this, the system will end up
missing most of the detections shorter than n and thus decreasing recall. Precision might
also be harmed by doing this because even if only a short portion (but still cmatch)
of the whole n-gram was plagiarised, the whole n-gram will be added to the list of
detections.</p>
    </sec>
    <sec id="sec-6">
      <title>Conclusion</title>
      <p>In this paper we have presented an approach to detect plagiarised passages with different
levels of obfuscation. Certain methods are more suited towards detecting certain types
of obfuscations. We have used three different types of n-grams, each with a different
characteristic, so that collectively they can catch passages obfuscated differently. These
methods should be combined in such a way that they do not hurt the overall quality of
detections of the system. By filtering out those detections that would have decreased our
precision, we were able to do precisely that. Along with that, we were able to find a good
postprocessing approach that helped in detecting more passages without compromising
the precision. In conclusion, we found out that detection of plagiarised passages with
different levels of obfuscations by a single system is indeed possible.
7</p>
    </sec>
    <sec id="sec-7">
      <title>Acknowledgement</title>
      <p>We would like to thank the organizers of the PAN competition for providing us with the
opportunity to participate in this event. This research is partially funded by The Office
of Naval Research under grant N00014-12-1-0217.</p>
    </sec>
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