Paper: | MLSP-P6.4 | ||
Session: | Learning Theory and Models | ||
Time: | Thursday, May 20, 15:30 - 17:30 | ||
Presentation: | Poster | ||
Topic: | Machine Learning for Signal Processing: Learning Theory and Modeling | ||
Title: | A NEW WAY OF PCA: INTEGRATED-SQUARED-ERROR AND EM ALGORITHMS | ||
Authors: | Jong-Hoon Ahn; POSTECH | ||
Seungjin Choi; POSTECH | |||
Jong-Hoon Oh; POSTECH | |||
Abstract: | Minimization of reconstruction error (squared-error) leads to principal subspace analysis (PSA) which estimates scaled and rotated principal axes of a set of observed data. In this paper we introduce a new alternative error, so called, integratedsquared-error, the minimization of which determines the exact principal axes (without rotational ambiguity) of a set of observed data. We consider the properties of the integrated-squared-error in the framework of coupled generative model, giving efficient EM algorithms for integrated-squared-error minimization. We revisit the generalized Hebbian algorithm (GHA) and show that it emerges from integrated-squared-error minimization in a single-layer linear feedforward neural network. | ||
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