PLAGIARISM DETECTION
2
Chapter 1: Introduction
1.1 Background:
Plagiarism is becoming an important factor for the researchers due to the importance and
the fast growing rates. The primary areas covered by the researchers are the faster search tools
and the effective clustering process1. There are various tools or techniques to determine the
plagiarism in the document. The main reasons for the plagiarism is the development of internet.
The development of the World Wide Web and the digital libraries increased the rate of
plagiarism in the documents. The main concern is that some people just copy and paste their
document without informing the actual owner of the document. The main objective is to use a
fast, efficient and effective plagiarism detector which will detect the plagiarism easily in the
given document. Basically plagiarism is the act off stealing someone’s writing and uploading it
with his her name without the acknowledgement of the actual writer of the document. The
plagiarism can be of five types2: Copy and paste plagiarism, Style plagiarism, idea plagiarism,
Word Switch plagiarism and Metaphor Plagiarism.
Thaw SVD or Singular Value Decomposition is one of the major tools in the application
which is used to retrieve the information. It is considered to the most appropriate technique for
the sparse matrix. There are various theorems in the SVD like: (a) “Let A is an m n rank-r
matrix. Be σ1≥· · ·≥σr Eigen values of a matrix .Then there exist orthogonal matrices U =
(u1 , . . . , ur ) and V = (v1 , . . . , vr ), whose column vectors are orthonormal, and a diagonal
matrix Σ = diag (σ1 , . . . , σr ). The decomposition A = U ΣV T is called singular value
1Franco-Salvador, Marc, Paolo Rosso, and Manuel Montes-y-Gómez. "A systematic study of knowledge graph
analysis for cross-language plagiarism detection." Information Processing & Management 52, no. 4 (2016): 550-
570.
2Miranda-Jiménez, Sabino, and Efstathios Stamatatos. "Automatic Generation of Summary Obfuscation Corpus for
Plagiarism Detection." Acta Polytechnica Hungarica 14, no. 3 (2017).

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