TR-STF: a fast and accurate tensor ring decomposition algorithm via defined scaled tri-factorization
From MaRDI portal
Publication:6172876
DOI10.1007/s40314-023-02368-wOpenAlexW4382464220MaRDI QIDQ6172876
Ting-Zhu Huang, Hong-Xia Dou, Ting Xu, Liang-Jian Deng, Naoto Yokoya
Publication date: 20 July 2023
Published in: Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40314-023-02368-w
Cites Work
- Tensor Decompositions and Applications
- Tensor-Train Decomposition
- TT-cross approximation for multidimensional arrays
- A practical introduction to tensor networks: Matrix product states and projected entangled pair states
- A fast tri-factorization method for low-rank matrix recovery and completion
- Three dimensional strongly symmetric circulant tensors
- Symmetric tensor decomposition
- Efficient alternating least squares algorithms for low multilinear rank approximation of tensors
- Computations in quantum tensor networks
- Solving a low-rank factorization model for matrix completion by a nonlinear successive over-relaxation algorithm
- A multigrid algorithm for maxflow and min-cut problems with applications to multiphase image segmentation
- Tensor train rank minimization with nonlocal self-similarity for tensor completion
- An efficient randomized algorithm for computing the approximate Tucker decomposition
- Rank-adaptive tensor methods for high-dimensional nonlinear PDEs
- Triangular decomposition of CP factors of a third-order tensor with application to solving nonlinear systems of equations
- Hot-SVD: higher order t-singular value decomposition for tensors based on tensor-tensor product
- Low-CP-rank tensor completion via practical regularization
- Hierarchical orthogonal factorization: sparse least squares problems
- Multiplicative algorithms for symmetric nonnegative tensor factorizations and its applications
- Low-rank tensor completion using matrix factorization based on tensor train rank and total variation
- Low-rank nonnegative tensor approximation via alternating projections and sketching
- Hankel tensor-based model and \(L_1\)-Tucker decomposition-based frequency recovery method for harmonic retrieval problem
- The Alternating Linear Scheme for Tensor Optimization in the Tensor Train Format
- Tensor Networks for Dimensionality Reduction and Large-scale Optimization: Part 1 Low-Rank Tensor Decompositions
- Breaking the Curse of Dimensionality, Or How to Use SVD in Many Dimensions
- On the Best Rank-1 and Rank-(R1 ,R2 ,. . .,RN) Approximation of Higher-Order Tensors
- Hyperspectral Image Compressive Sensing Reconstruction Using Subspace-Based Nonlocal Tensor Ring Decomposition
- A TT-Based Hierarchical Framework for Decomposing High-Order Tensors
- A Link between the Canonical Decomposition in Multilinear Algebra and Simultaneous Matrix Diagonalization
- Tensor Rank and the Ill-Posedness of the Best Low-Rank Approximation Problem
- Most Tensor Problems Are NP-Hard
- Augmented Lagrangian alternating direction method for matrix separation based on low-rank factorization
- Hankel tensors, Vandermonde tensors and their positivities
- NF-3DLogTNN: an effective hyperspectral and multispectral image fusion method based on nonlocal low-fibered-rank regularization
This page was built for publication: TR-STF: a fast and accurate tensor ring decomposition algorithm via defined scaled tri-factorization
