1. Using SVD on Clusters to Improve Precision of Interdocument Similarity Measure
- Author
-
Siguang Zhang, Wen Zhang, Bin Li, and Fan Xiao
- Subjects
0209 industrial biotechnology ,Article Subject ,General Computer Science ,Matching (graph theory) ,General Mathematics ,InformationSystems_INFORMATIONSTORAGEANDRETRIEVAL ,Information Storage and Retrieval ,02 engineering and technology ,Similarity measure ,lcsh:Computer applications to medicine. Medical informatics ,computer.software_genre ,lcsh:RC321-571 ,Matrix (mathematics) ,InformationSystems_GENERAL ,020901 industrial engineering & automation ,Discriminative model ,Dimension (vector space) ,Artificial Intelligence ,Singular value decomposition ,0202 electrical engineering, electronic engineering, information engineering ,Cluster Analysis ,Humans ,lcsh:Neurosciences. Biological psychiatry. Neuropsychiatry ,Mathematics ,business.industry ,General Neuroscience ,Pattern recognition ,General Medicine ,Semantics ,Projection (relational algebra) ,ComputingMethodologies_PATTERNRECOGNITION ,Linear algebra ,Linear Models ,lcsh:R858-859.7 ,020201 artificial intelligence & image processing ,Data mining ,Artificial intelligence ,business ,computer ,Algorithms ,Research Article - Abstract
Recently, LSI (Latent Semantic Indexing) based on SVD (Singular Value Decomposition) is proposed to overcome the problems of polysemy and homonym in traditional lexical matching. However, it is usually criticized as with low discriminative power for representing documents although it has been validated as with good representative quality. In this paper, SVD on clusters is proposed to improve the discriminative power of LSI. The contribution of this paper is three manifolds. Firstly, we make a survey of existing linear algebra methods for LSI, including both SVD based methods and non-SVD based methods. Secondly, we propose SVD on clusters for LSI and theoretically explain that dimension expansion of document vectors and dimension projection using SVD are the two manipulations involved in SVD on clusters. Moreover, we develop updating processes to fold in new documents and terms in a decomposed matrix by SVD on clusters. Thirdly, two corpora, a Chinese corpus and an English corpus, are used to evaluate the performances of the proposed methods. Experiments demonstrate that, to some extent, SVD on clusters can improve the precision of interdocument similarity measure in comparison with other SVD based LSI methods.
- Published
- 2016