Line search and trust region strategies for canonical decomposition of semi-nonnegative semi-symmetric 3rd order tensors

DOI10.1016/j.laa.2014.02.001zbMath1311.65044OpenAlexW2003289953MaRDI QIDQ2448248

Laurent Albera, Julie Coloigner, Ahmad Karfoul, Pierre Comon

Publication date: 30 April 2014

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2014.02.001

zbMATH Keywords

nonlinear optimizationnonnegative matrix factorizationnonnegative tensor factorizationmatrix calculusCanDecompcanonical polyadic modelParaFacsemi-nonnegative INDSCAL analysis

Mathematics Subject Classification ID

Related Items (2)

Uncertainty propagation in orbital mechanics via tensor decomposition ⋮ The partially symmetric rank-1 approximation of fourth-order partially symmetric tensors

Uses Software

• Matlab

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Tensor Decompositions and Applications
• Computing the polyadic decomposition of nonnegative third order tensors
• INDSCAL model: geometrical interpretation and methodology
• A comparison of algorithms for fitting the PARAFAC model
• Generic and typical ranks of multi-way arrays
• Independent component analysis, a new concept?
• Blind Identification of Overcomplete MixturEs of sources (BIOME)
• Sufficient conditions for uniqueness in Candecomp/Parafac and Indscal with random component matrices
• Analysis of individual differences in multidimensional scaling via an \(n\)-way generalization of ``Eckart-Young decomposition
• Multidimensional Scaling, Tree-Fitting, and Clustering
• A Multilinear Singular Value Decomposition
• Complex-Valued Matrix Differentiation: Techniques and Key Results
• A Comparative Study of Approximate Joint Diagonalization Algorithms for Blind Source Separation in Presence of Additive Noise
• Higher Order Direction Finding From Arrays With Diversely Polarized Antennas: The PD-2q-MUSIC Algorithms
• Blind Underdetermined Mixture Identification by Joint Canonical Decomposition of HO Cumulants
• Quadratic optimization for simultaneous matrix diagonalization
• Jacobi Angles for Simultaneous Diagonalization
• A Link between the Canonical Decomposition in Multilinear Algebra and Simultaneous Matrix Diagonalization
• Enhanced Line Search: A Novel Method to Accelerate PARAFAC
• Non-orthogonal joint diagonalization in the least-squares sense with application in blind source separation
• 11 Applications of Multidimensional Scaling in Psychometrics

This page was built for publication: Line search and trust region strategies for canonical decomposition of semi-nonnegative semi-symmetric 3rd order tensors