Orthogonal learning network for constrained principal component problem

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3 Scopus citations

Abstract

The regular principal components (PC) analysis of stochastic processes is extended to the constrained principal components (CPC) problem. As in the PC analysis, the CPC analysis involves extracting representative components which contain the most information about the original processes. In contrast to the PC problem, the CPC solution has to be extracted from a given constraint subspace. Therefore, the CPC solution may be adopted to best recover the original signal and simultaneously avoid the undesirable noisy or redundant components. This is very appealing in many practical applications, e.g., motion or still-image data compression, high-resolution (antijamming) spectrum analysis, NMR, etc. A technique is proposed for finding optimal CPC solutions with an orthogonal learning network (OLN). The underlying numerical analysis for the theoretical proof of the convergency of OLN is discussed. As a byproduct, the same numerical analysis also provides a useful estimate of optimal learning rates, leading to very fast convergence speed. Simulation and application examples are provided.

Original languageEnglish (US)
Pages441-449
Number of pages9
DOIs
StatePublished - 1990
Event1990 International Joint Conference on Neural Networks - IJCNN 90 - San Diego, CA, USA
Duration: Jun 17 1990Jun 21 1990

Other

Other1990 International Joint Conference on Neural Networks - IJCNN 90
CitySan Diego, CA, USA
Period6/17/906/21/90

All Science Journal Classification (ASJC) codes

  • Engineering(all)

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    Kung, S. Y. (1990). Orthogonal learning network for constrained principal component problem. 441-449. Paper presented at 1990 International Joint Conference on Neural Networks - IJCNN 90, San Diego, CA, USA, . https://doi.org/10.1109/ijcnn.1990.137605