Paper Info
Title
Performance Estimation For Tensor Cp Decomposition With Structured Factors
Abstract
The Canonical Polyadic tensor decomposition (CPD), also known as Candecomp/Parafac, is very useful in numerous scientific disciplines. Structured CPDs, i.e. with Toeplitz, circulant, or Hankel factor matrices, are often encountered in signal processing applications. As subsequently pointed out, specialized algorithms were recently proposed for estimating the deterministic parameters of structured CP decompositions. A closed-form expression of the Cramer-Rao bound (CRB) is derived, related to the problem of estimating CPD parameters, when the observed tensor is corrupted with an additive circular i.i.d. Gaussian noise. This CRB is provided for arbitrary tensor rank and sizes. Finally, the proposed CRB expression is used to asses the statistical efficiency of the existing algorithms by means of simulation results in the cases of third-order tensors having three circulant factors on one hand, and an Hankel factor on the other hand.
Year
Venue
Keywords
2015
2015 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH, AND SIGNAL PROCESSING (ICASSP)
Multilinear Algebra, Tensor Decomposition, Performance Analysis, Cramer-Rao bound, Structured matrix
DocType
ISSN
Citations 
Conference
1520-6149
3
PageRank 
References 
Authors
0.41
16
5
Name
Order
Citations
PageRank
Maxime Boizard1383.30
Rémy Boyer230138.10
GéRard Favier351446.41
Jeremy E. Cohen4468.34
Pierre Comon53856716.85