Candecomp/Parafac: From Diverging Components to a Decomposition in Block Terms
Copyright policy )Candecomp/Parafac: From Diverging Components to a Decomposition in Block Terms
Fitting an R-component Candecomp/Parafac (CP) decomposition to a multiway array or higher-order tensor Z is equivalent to finding a best rank-R approximation of Z. Such a best rank-R approximation may not exist due to the fact that the set of multiway arrays with rank at most R is not closed. In this case, trying to compute the approximation results in diverging CP components. We present an approach to avoid diverging components for real I x J x K arrays with R
- University of Groningen Netherlands
low-rank approximation, Parafac, ILL-CONDITIONED DATA, HIGH DIMENSIONS, Candecomp, block decomposition, GENERALIZED SCHUR DECOMPOSITION, ALTERNATING LEAST-SQUARES, ARRAYS, tensor decomposition, UNIQUENESS, Schur decomposition, HIGHER-ORDER TENSOR, CANONICAL DECOMPOSITION, LOW-RANK APPROXIMATION, diverging components, 3-MODE FACTOR-ANALYSIS
low-rank approximation, Parafac, ILL-CONDITIONED DATA, HIGH DIMENSIONS, Candecomp, block decomposition, GENERALIZED SCHUR DECOMPOSITION, ALTERNATING LEAST-SQUARES, ARRAYS, tensor decomposition, UNIQUENESS, Schur decomposition, HIGHER-ORDER TENSOR, CANONICAL DECOMPOSITION, LOW-RANK APPROXIMATION, diverging components, 3-MODE FACTOR-ANALYSIS
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