Incremental null Foley‐Sammon transform

Yi Wang, Panpan Shui, Xin Fan, Tianzhu Wang · Electronics Letters · 2016

The Foley‐Sammon transform (FST) is one of the most well‐known dimensionality reduction and feature extraction methods. However, the classical FST cannot be used directly in the small sample size problem where the within‐class scatter matrix is singular. Null‐space based FST (NFST) provides a good solution to this problem. Proposed is a fast incremental NFST (INFST). INFST extracts new information brought by newly‐added samples and integrates it with the existing model by an efficient updating scheme. INFST can achieve the aims of online classification and novelty detection. Experiments on real‐world data demonstrate the effectiveness of INFST.

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