Decomposition of a tensor into multilinear rank-$(M_r,N_r,\cdot)$ terms

Factorization of matrices (15A23) Multilinear algebra, tensor calculus (15A69) Numerical methods for low-rank matrix approximation; matrix compression (65F55)

Cites Work

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Canonical polyadic decomposition of third-order tensors: relaxed uniqueness conditions and algebraic algorithm
Three-way arrays: rank and uniqueness of trilinear decompositions, with application to arithmetic complexity and statistics
Dimensionality reduction in higher-order signal processing and rank-$(R_1,R_2,\ldots,R_N)$ reduction in multilinear algebra
On partial and generic uniqueness of block term tensor decompositions
Analysis of individual differences in multidimensional scaling via an $n$-way generalization of ``Eckart-Young decomposition
Optimization-based algorithms for tensor decompositions: canonical polyadic decomposition, decomposition in rank-$(L_r,L_r,1)$ terms, and a new generalization
On the uniqueness of the canonical polyadic decomposition of third-order tensors. II: Uniqueness of the overall decomposition
Canonical polyadic decomposition of third-order tensors: reduction to generalized eigenvalue decomposition
An Algebraic Approach to Nonorthogonal General Joint Block Diagonalization
Algorithm for Error-Controlled Simultaneous Block-Diagonalization of Matrices
A Decomposition for Three-Way Arrays
Blind Separation of Exponential Polynomials and the Decomposition of a Tensor in Rank-$(L_r,L_r,1)$ Terms
A Multilinear Singular Value Decomposition
A Block Component Model-Based Blind DS-CDMA Receiver
Tensor Decomposition for Signal Processing and Machine Learning
Joint Independent Subspace Analysis: Uniqueness and Identifiability
$(L_r,L_r,1)$-Decompositions, Sparse Component Analysis, and the Blind Separation of Sums of Exponentials
On Uniqueness and Computation of the Decomposition of a Tensor into Multilinear Rank-$(1,L_r,L_r)$ Terms
Coupled Canonical Polyadic Decompositions and (Coupled) Decompositions in Multilinear Rank-$(L_r,n,L_r,n,1)$ Terms---Part I: Uniqueness
Decompositions of a Higher-Order Tensor in Block Terms—Part I: Lemmas for Partitioned Matrices
Decompositions of a Higher-Order Tensor in Block Terms—Part II: Definitions and Uniqueness
Decompositions of a Higher-Order Tensor in Block Terms—Part III: Alternating Least Squares Algorithms
A Recursive Eigenspace Computation for the Canonical Polyadic Decomposition

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Decomposition of a tensor into multilinear rank-\((M_r,N_r,\cdot)\) terms