Sparse projections over graph

Deng Cai, Xiaofei He, Jiawei Han

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Recent study has shown that canonical algorithms such as Principal Component Analysis (PCA) and Linear Discriminant Analysis (LDA) can be obtained from graph based dimensionality reduction framework. However, these algorithms yield projective maps which are linear combination of all the original features. The results are difficult to be interpreted psychologically and physiologically. This paper presents a novel technique for learning a sparse projection over graphs. The data in the reduced subspace is represented as a linear combination of a subset of the most relevant features. Comparing to PCA and LDA, the results obtained by sparse projection are often easier to be interpreted. Our algorithm is based on a graph embedding model, which encodes the discriminating and geometrical structure in terms of the data affinity. Once the embedding results are obtained, we then apply regularized regression for learning a set of sparse basis functions. Specifically, by using a L 1-norm regularizer (e.g. lasso), the sparse projections can be efficiently computed. Experimental results on two document databases demonstrate the effectiveness of our method.

Original languageEnglish (US)
Title of host publicationAAAI-08/IAAI-08 Proceedings - 23rd AAAI Conference on Artificial Intelligence and the 20th Innovative Applications of Artificial Intelligence Conference
Pages610-615
Number of pages6
StatePublished - 2008
Event23rd AAAI Conference on Artificial Intelligence and the 20th Innovative Applications of Artificial Intelligence Conference, AAAI-08/IAAI-08 - Chicago, IL, United States
Duration: Jul 13 2008Jul 17 2008

Publication series

NameProceedings of the National Conference on Artificial Intelligence
Volume2

Other

Other23rd AAAI Conference on Artificial Intelligence and the 20th Innovative Applications of Artificial Intelligence Conference, AAAI-08/IAAI-08
CountryUnited States
CityChicago, IL
Period7/13/087/17/08

ASJC Scopus subject areas

  • Software
  • Artificial Intelligence

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