Open Access
Signal Processing based on Multilinear Algebra
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The article was published on 1997-01-01 and is currently open access. It has received 395 citations till now. The article focuses on the topics: Multilinear map & Multilinear algebra.read more
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Journal ArticleDOI
A Multilinear Singular Value Decomposition
TL;DR: There is a strong analogy between several properties of the matrix and the higher-order tensor decomposition; uniqueness, link with the matrix eigenvalue decomposition, first-order perturbation effects, etc., are analyzed.
Independent Component Analysis.
TL;DR: The standardization of the IC model is talked about, and on the basis of n independent copies of x, the aim is to find an estimate of an unmixing matrix Γ such that Γx has independent components.
Journal ArticleDOI
On the Best Rank-1 and Rank-( R 1 , R 2 ,. . ., R N ) Approximation of Higher-Order Tensors
TL;DR: A multilinear generalization of the best rank-R approximation problem for matrices, namely, the approximation of a given higher-order tensor, in an optimal least-squares sense, by a tensor that has prespecified column rank value, rowRank value, etc.
Journal ArticleDOI
General Tensor Discriminant Analysis and Gabor Features for Gait Recognition
TL;DR: A general tensor discriminant analysis (GTDA) is developed as a preprocessing step for LDA for face recognition and achieves good performance for gait recognition based on image sequences from the University of South Florida (USF) HumanID Database.
Book ChapterDOI
Multilinear Analysis of Image Ensembles: TensorFaces
TL;DR: This work considers the multilinear analysis of ensembles of facial images that combine several modes, including different facial geometries (people), expressions, head poses, and lighting conditions, and concludes that the resulting "TensorFaces" representation has several advantages over conventional eigenfaces.