SU\G(š”ø)/KĀ·U
Mathematics ā€ŗ Computational Mathematics

Tensor decomposition and applications

Works Count: 15546

Description

This cluster of papers focuses on the theory and applications of tensor decompositions, particularly in the context of multilinear algebra. It covers various decomposition methods such as Singular Value Decomposition, Parallel Factor Analysis, Canonical Polyadic Decomposition, and Tucker Decomposition, along with their applications in signal processing and machine learning.

Keywords

Tensor Decomposition; Multilinear Algebra; Singular Value Decomposition; Parallel Factor Analysis; Canonical Polyadic Decomposition; Tucker Decomposition; Nonnegative Tensor Factorization; Higher-Order Tensors; Signal Processing; Machine Learning

Most Cited Works

Action Title Date Authors
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A Block Coordinate Descent Method for Regularized Multiconvex Optimization with Applications to Nonnegative Tensor Factorization and Completion 2013-01-01 Yangyang Xu Wotao Yin
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Matrix multiplication via arithmetic progressions 1990-03-01 Don Coppersmith S. Winograd
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A Riemannian Framework for Tensor Computing 2005-12-22 Xavier Pennec Pierre Fillard Nicholas Ayache
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Third-Order Tensors as Operators on Matrices: A Theoretical and Computational Framework with Applications in Imaging 2013-01-01 Misha E. Kilmer Karen Braman Ning Hao Randy C. Hoover
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Tensor-Train Decomposition 2011-01-01 Ivan Oseledets
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Analysis of individual differences in multidimensional scaling via an n-way generalization of ā€œEckart-Youngā€ decomposition 1970-09-01 J. Douglas Carroll Jih-Jie Chang
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Fixed point and Bregman iterative methods for matrix rank minimization 2009-09-22 Shiqian Ma Donald Goldfarb Lifeng Chen
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A Multilinear Singular Value Decomposition 2000-01-01 Lieven De Lathauwer Bart De Moor Joos Vandewalle
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On the Best Rank-1 and Rank-(<i>R</i><sub>1</sub> ,<i>R</i><sub>2</sub> ,. . .,<i>R<sub>N</sub></i>) Approximation of Higher-Order Tensors 2000-01-01 Lieven De Lathauwer Bart De Moor Joos Vandewalle
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Braided Tensor Categories 1993-11-01 AndrƩ Joyal Ross Street
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Tensor Decompositions and Applications 2009-08-05 Tamara G. Kolda Brett W. Bader
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Generalized procrustes analysis 1975-03-01 J. C. Gower
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Multiplying matrices faster than coppersmith-winograd 2012-05-19 Virginia Vassilevska Williams
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A Supernodal Approach to Sparse Partial Pivoting 1999-01-01 James Demmel Stanley C. Eisenstat John R. Gilbert Xiaoye Sherry Li Joseph W. H. Liu
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Issues and Advances in Segmentation Research 1978-08-01 Yoram Wind
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The characteristics of subject matter in different academic areas. 1973-06-01 Anthony Biglan
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Factorization strategies for third-order tensors 2010-10-26 Misha E. Kilmer Carla D. Martin
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Point of view in personal memories 1983-10-01 Georgia Nigro Ulric Neisser
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Logā€Euclidean metrics for fast and simple calculus on diffusion tensors 2006-06-20 Vincent Arsigny Pierre Fillard Xavier Pennec Nicholas Ayache
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A Unified Convergence Analysis of Block Successive Minimization Methods for Nonsmooth Optimization 2013-01-01 Meisam Razaviyayn Mingyi Hong Zhi-Quan Luo
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Relationships between subject matter characteristics and the structure and output of university departments. 1973-06-01 Anthony Biglan
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Three-way arrays: rank and uniqueness of trilinear decompositions, with application to arithmetic complexity and statistics 1977-01-01 Joseph B. Kruskal
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A Three-Way Model for Collective Learning on Multi-Relational Data 2011-06-28 Maximilian Nickel Volker Tresp Hansā€Peter Kriegel
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Modern Multidimensional Scaling: Theory and Applications 2003-09-01 Ingwer Borg P.A.P. Groenen
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How to Conduct Your Own Survey 1996-02-01 Seymour Sudman Priscilla Salant Don A. Dillman
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Processing and visualization for diffusion tensor MRI 2002-06-01 C.-F. Westin Stephan E. Maier Hatsuho Mamata A. Nabavi F.A. Jolesz Ron Kikinis
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Most Tensor Problems Are NP-Hard 2013-11-01 Christopher J. Hillar Lekā€Heng Lim
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Nonmetric individual differences multidimensional scaling: An alternating least squares method with optimal scaling features 1977-03-01 Yoshio Takane Forrest W. Young Jan de Leeuw
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The Multilinear Engineā€”A Table-Driven, Least Squares Program for Solving Multilinear Problems, Including the<i>n</i>-Way Parallel Factor Analysis Model 1999-12-01 Pentti Paatero
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Eigenvalues of a real supersymmetric tensor 2005-06-20 Liqun Qi
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Tensor decompositions for learning latent variable models 2014-01-01 Animashree Anandkumar Rong Ge Daniel Hsu Sham M. Kakade Matus Telgarsky
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Multilinear Analysis of Image Ensembles: TensorFaces 2002-01-01 M. Alex O. Vasilescu Demetri Terzopoulos
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Singular Values and Eigenvalues of Tensors: A Variational Approach 2006-01-18 Lekā€Heng Lim
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Finding Structure with Randomness: Probabilistic Algorithms for Constructing Approximate Matrix Decompositions 2011-01-01 Nathan Halko Perā€Gunnar Martinsson Joel A. Tropp
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Tensor Decompositions for Signal Processing Applications: From two-way to multiway component analysis 2015-02-10 Andrzej Cichocki Danilo P. Mandic Lieven De Lathauwer Guoxu Zhou Qibin Zhao CĆ©sar F. Caiafa Anh Huy Phan
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PARAFAC. Tutorial and applications 1997-10-01 Rasmus Bro
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Powers of tensors and fast matrix multiplication 2014-07-01 FranƧois Le Gall
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A Simpler Approach to Matrix Completion 2009-01-01 Benjamin Recht
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The effect of gradient sampling schemes on measures derived from diffusion tensor MRI: A Monte Carlo study 2004-03-26 Derek K. Jones
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Tensor Rank and the Ill-Posedness of the Best Low-Rank Approximation Problem 2008-01-01 Vin de Silva Lekā€Heng Lim
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Updating the Inverse of a Matrix 1989-06-01 William W. Hager
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CUR matrix decompositions for improved data analysis 2009-01-13 Michael W. Mahoney Petros Drineas
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MRtrix: Diffusion tractography in crossing fiber regions 2012-02-14 Jacquesā€Donald Tournier Fernando Calamante Alan Connelly
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On the Nystrƶm Method for Approximating a Gram Matrix for Improved Kernel-Based Learning 2005-12-01 Petros Drineas Michael W. Mahoney
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A polynomial-time approximation algorithm for the permanent of a matrix with nonnegative entries 2004-07-01 Mark Jerrum Alistair Sinclair Eric Vigoda
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STATISTICAL ANALYSIS OF SETS OF CONGENERIC TESTS* 1969-12-01 Karl G. Jƶreskog
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Weighted low-rank approximations 2003-08-21 Nathan Srebro Tommi Jaakkola
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Solving Systems of Polynomial Equations 2002-09-12 Bernd Sturmfels
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Tensor Decomposition for Signal Processing and Machine Learning 2017-04-03 Nicholas D. Sidiropoulos Lieven De Lathauwer Xiao Fu Kejun Huang Evangelos E. Papalexakis Christos Faloutsos
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The solution path of the generalized lasso 2011-05-04 Ryan J. Tibshirani Jonathan Taylor

Most Recent Works

Action Title Date Authors
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HadamRNN: Binary and Sparse Ternary Orthogonal RNNs 2025-04-24 Armand Foucault Franck Mamalet FranƧois Malgouyres
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Real-Time Monitoring of Dynamic Tensor Data with Longitudinal Patterns: A Tensor Graphical LASSO Approach 2025-04-16 Wendong Li Yifan Li Fugee Tsung Chunjie Wu
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Decoding sign language finger flexions from high-density electrocorticography using graph-optimized block term tensor regression 2025-04-16 Axel Faes E. Calvo Mariana P. Branco AnaĆÆs Van Hoylandt Elina Keirse Tom Theys Nick F. Ramsey Marc M. Van Hulle
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Compressing Neural Networks Using Tensor Networks with Exponentially Fewer Variational Parameters 2025-04-16 Yong Qing Ke Li Pengfei Zhou Shi-Ju Ran
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Simple Fermionic backflow states via a systematically improvable tensor decomposition 2025-04-17 Massimo Bortone Yannic Rath George H. Booth
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A study of the concircular curvature tensor and its interactions with other tensors under the Lie derivative in \(GBK- 5RF_n\) 2025-04-17 Adel Mohammed Ali Al-Qashbari Saeedah M. Baleedi
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Criteria for Positive Definiteness of Diffusion Kurtosis Imaging 2025-04-17 Caili Sang Xiaoqin Zeng Jianxing Zhao
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Multilinear Singular Value Decompositionā€“Based Completion with Fibers Observed in a Single Mode 2025-04-17 Mikael SĆørensen Stijn Hendrikx Lieven De Lathauwer
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Optimal sampling of tensor networks targeting wave function&amp;apos;s fast decaying tails 2025-04-18 Marco Ballarin Pietro Silvi Simone Montangero Daniel Jaschke
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Approximate Quantum Compiling for Quantum Simulation: A Tensor Network Based Approach 2025-04-18 Niall Robertson Albert Akhriev JiÅ™Ć­ Vala Sergiy Zhuk
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Faster Isomorphism for \({p}\)-Groups of Class 2 and Exponent \({p}\) 2025-04-18 Xiaorui Sun
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Efficient Algorithms for Regularized Nonnegative Scale-Invariant Low-Rank Approximation Models 2025-04-21 JƩrƩmy E. Cohen Valentin Leplat
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Tensor ring optimized quantum-enhanced tensor neural networks 2025-04-22 Debanjan Konar Dheeraj Peddireddy Bijaya Ketan Panigrahi Vaneet Aggarwal
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Efficient algorithms for Tucker decomposition via approximate matrix multiplication 2025-04-22 Maolin Che Yimin Wei Hong Yan
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A Bayesian hierarchical model for orthogonal Tucker decomposition with oblivious tensor compression 2025-04-22 Matthew Pietrosanu Bei Jiang Linglong Kong
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Moving Objects Detection Based on Tensor Ring Low Rank Decomposition 2025-04-22 Ruixuan Chen Xusheng Li Chenda Chen Shiyu Zhu Qipeng Chen Jianting Cao
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Unmasking Machine Learning With Tensor Decomposition: An Illustrative Example for Media and Communication Researchers 2025-04-23 Yu Won Oh Chong Hyun Park
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Dynamical low-rank tensor approximations to high-dimensional parabolic problems: existence and convergence of spatial discretizations 2025-04-23 Markus Bachmayr Henrik Eisenmann AndrƩ Uschmajew
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Tensor completion via leverage sampling and tensor QR decomposition for network latency estimation 2025-04-24 Jun Lei Jiangbo Zhao Wang Jingqi An-Bao Xu
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Unsupervised machine learning for detecting mutual independence among eigenstate regimes in interacting quasiperiodic chains 2025-04-25 C. Beveridge Kevin J. Hart Cassio Rodrigo Cristani Xiao Li Enrico Barbierato Yiā€Ting Hsu
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Block Majorization-Minimization with Diminishing Radius for Constrained Nonsmooth Nonconvex Optimization 2025-04-25 Hanbaek Lyu Yuchen Li
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Proof of nonintegrability of the spin-1 bilinear-biquadratic chain model 2025-04-28 HaRu K. Park SungBin Lee
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Computation of M-QDR decomposition of tensors and applications 2025-04-28 Krushnachandra Panigrahy Biswarup Karmakar Jajati Keshari Sahoo Ratikanta Behera R. N. Mohapatra
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On the singular loci of higher secant varieties of Veronese embeddings 2025-04-29 Katsuhisa Furukawa Kangjin Han
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Block iterative methods for solving multi-linear systems 2025-04-29 Mehdi Najafiā€“Kalyani Malihe Nobakht Kooshkghazi Lothar Reichel
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Tensor Decompositionā€Based Model Order Reduction Applied to Multiā€Parameter Electromagnetic Problems in the Context of Digital Twins 2025-04-30 Ze Guo Zuqi Tang Zhuoxiang Ren
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Missing Traffic Data Imputation based on Tensor Completion and Graph Network Fusion 2025-04-30 Chengliang Xia Xiang Yin Junyang Yu Xiaoli Liang Lei Chen
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Tensor Interpolation 2025-04-30 Salma Ouahidi R. Sadaka
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On Third Order Tensors and Their Products 2025-05-02 Li Wang Changqing Xu Yiran Xu Zhangyin Zhai
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Multidimensional nonlinear transform-based tensor representation for high-dimensional image reconstruction 2025-05-01 Zhiwei Shi Yuā€Bang Zheng Yi Zhang Heng-Chao Li
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Gradient neural network models for approximate Tucker decomposition of time-dependent tensors 2025-05-01 Maolin Che Yimin Wei Hong Yan
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Numerical Methods Combining Symmetry and Sparsity for the Calculation of Homogeneous Polynomials Defined by Tensors 2025-04-27 Ting Zhang
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Solving Generalized Tensor Eigenvalue Problem via Spectral Shifted Inverse Power Methods 2025-05-01 Mehri Pakmanesh Hamidreza Afshin and Masoud Hajarian
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Tensor-Based Uncoupled and Incomplete Multi-View Clustering 2025-05-04 Yapeng Liu Wei Guo Weiyu Li Jingfeng Su Q. Zhou Shanshan Yu
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CHAPTER 5 Tensor induced local systems 2025-05-04
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Tensor and machine learning based reduced algorithm using wavelet transform for EEG source localization 2025-05-05 Teja Mannepalli Aurobinda Routray
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Weighted sparsity and sparse tensor networks for least squares approximation 2025-05-05 Philipp Trunschke Martin Eigel Anthony Nouy
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The next gap in the subrank of 3-tensors 2025-05-01 Fulvio Gesmundo Jeroen Zuiddam
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Speed limits and scrambling in Krylov space 2025-05-06 Ankit Gill Tapobrata Sarkar
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Direct expression for one-loop tensor reduction with Lorentz indices via a generating function 2025-05-06 Chang Hu Yifan Hu Jiyuan Shen
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Hypergraph p-Laplacian Equations for Data Interpolation and Semi-supervised Learning 2025-05-06 Kehan Shi Martin Burger
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Unfolding $E_{11}$ 2025-05-06 Nicolas Boulanger Paul Cook Josh A. Oā€™Connor Peter West
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Internet traffic data recovery via a low-rank spatio-temporal regularized optimization approach without d-th order T-SVD 2025-05-06 Yuxuan Duan Ling Chen Jinjie Liu Xinmin Yang
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Auto-weighted exponential tensor nuclear norm minimization for multi-attribute low-dimensional subspace clustering 2025-05-01 Tong Wu Guiā€Fu Lu Bing Hu
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Tensor-based Passive Localization of Multiple Wideband Emitters using PARAFAC Decomposition 2025-05-01 Qing Liu Jian Xie Zhaolin Zhang Yanyun Gong Ling Wang
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Low-rank reduced biquaternion tensor ring decomposition and tensor completion 2025-05-09 Luo Hui Xin Liu Wei Liu Yang Zhang
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Moduli of codimension two linear sections of subadjoint varieties 2025-05-09 Yingqi Liu
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IETI-Based Low-Rank Method for PDE-Constrained Optimization 2025-05-09 Tom-Christian Riemer Alexandra BĆ¼nger Martin Stoll
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Kernel Bayesian tensor ring decomposition for multiway data recovery 2025-05-01 Zhenhao Huang Yuning Qiu Xinqi Chen Qibin Zhao
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An extrapolation trust-region alternating least-squares algorithm for triple decomposition of third-order tensors 2025-05-11 Xuejuan Zhang Jinling Zhao