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Title: MSAFC : matrix subspace analysis with fuzzy clustering ability
Authors: Gao, J
Chung, F 
Wang, S
Issue Date: 2014
Source: Soft computing, 2014, v. 18, no. 6, p. 1143-1163
Abstract: In this paper, based on the maximum margin criterion (MMC) together with the fuzzy clustering and the tensor theory, a novel matrix based fuzzy maximum margin criterion (MFMMC) is proposed and based upon which a matrix subspace analysis method with fuzzy clustering ability (MSAFC) is derived. Besides, according to the intuitive geometry, a proper method of setting the adjustable parameter \(\gamma \) in the proposed criterion MFMMC is given and its rationale is provided. The proposed method MSAFC can simultaneously realize unsupervised feature extraction and fuzzy clustering for matrix data (e.g. image data). As to the running efficiency of MSAFC, a two-directional orthogonal method of dealing with matrix data without any iteration is developed to improve it. Experimental results on UCI datasets, hand-written digit datasets, face image datasets and gene datasets show the distinctive performance of MSAFC.
Keywords: Matrix subspace analysis
Two-directional 2D feature extraction
Matrix based fuzzy maximum margin criterion
Fuzzy clustering
Publisher: Springer
Journal: Soft computing 
ISSN: 1432-7643
DOI: 10.1007/s00500-013-1134-3
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