Title :
Robust PCA with Intra-Sample Outlier Process Based on Fuzzy Mahalanobis Distances and Noise Clustering
Author :
Ichihashi, Hidetomo ; Honda, Katsuhiro ; Wakami, Noboru
Author_Institution :
Dept. or Ind. Eng. Electr. Eng. & Inf. Sci., Osaka Prefecture Univ., Sakai
Abstract :
To make principal component analysis (PCA) robust for intra-sample noise, Torre and Black proposed a general analogue outlier process that provides a connection to robust M-estimation. This paper proposes a fuzzy membership approach based on the squared Mahalanobis distances and the noise clustering (NC) by Dave for robustizing PCA to intra-sample outliers
Keywords :
fuzzy set theory; pattern clustering; principal component analysis; M-estimation; fuzzy Mahalanobis distances; intrasample outlier process; noise clustering; principal component analysis; robust PCA; Clustering algorithms; Covariance matrix; Industrial engineering; Industrial relations; Information science; Least squares approximation; Noise robustness; Principal component analysis; Prototypes; Singular value decomposition;
Conference_Titel :
Fuzzy Systems, 2005. FUZZ '05. The 14th IEEE International Conference on
Conference_Location :
Reno, NV
Print_ISBN :
0-7803-9159-4
DOI :
10.1109/FUZZY.2005.1452469