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- W1568436155 abstract "We study the least-squares (LS) functional of the canonical polyadic (CP) tensor decomposition. Our approach is based on the elimination of one factor matrix which results in a reduced functional. The reduced functional is reformulated into a projection framework and into a Rayleigh quotient. An analysis of this functional leads to several conclusions: new sucient conditions for the existence of minimizers of the LS functional, the existence of a critical point in the rank-one case, a heuristic explanation of swamping and computable bounds on the minimal value of the LS functional. The latter result leads to a simple algorithm { the Centroid Projection algorithm { to compute suboptimal solutions of tensor decompositions. These suboptimal solutions are applied to iterative CP algorithms as initial guesses, yielding a method called centroid projection for canonical polyadic (CPCP) decomposition which provides a signicant speedup in our numerical experiments compared to the standard methods." @default.
- W1568436155 created "2016-06-24" @default.
- W1568436155 creator A5039654788 @default.
- W1568436155 date "2011-09-18" @default.
- W1568436155 modified "2023-09-27" @default.
- W1568436155 title "Analysis and Approximation of the Canonical Polyadic Tensor Decomposition" @default.
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