Finding a low-rank basis in a matrix subspace

Finding a low-rank basis in a matrix subspace

For a given matrix subspace, how can we find a basis that consists of low-rank matrices? This is a generalization of the sparse vector problem. It turns out that when the subspace is spanned by rank-1 matrices, the matrices can be obtained by the tensor CP decomposition. For the higher rank case, th...

書誌詳細
主要な著者:	Nakatsukasa, Y, Soma, T, Uschmajew, A
フォーマット:	Journal article
言語:	English
出版事項:	Springer Verlag 2016

類似資料

On orthogonal tensors and best rank-one approximation ratio
著者:: Li, Z, 等
出版事項: (2018)

Low-rank matrix approximations over canonical subspaces
著者:: Achiya Dax
出版事項: (2020-09-01)

Low-rank matrix approximations over canonical subspaces
著者:: Achiya Dax
出版事項: (2020-09-01)

Low-rank matrix approximations over canonical subspaces
著者:: Achiya Dax
出版事項: (2020-09-01)

Low-rank matrix approximations over canonical subspaces
著者:: Achiya Dax
出版事項: (2020-09-01)

Continual learning in low-rank orthogonal subspaces
著者:: Chaudhry, A, 等
出版事項: (2020)

A theory of quantum subspace diagonalization
著者:: Epperly, EN, 等
出版事項: (2022)

Low-rank sparse subspace clustering with a clean dictionary
著者:: Cong-Zhe You, 等
出版事項: (2021-01-01)

Fast randomized numerical rank estimation for numerically low-rank matrices
著者:: Meier, M, 等
出版事項: (2024)

Subspace Segmentation by Low Rank Representation via the Sparse-Prompting Quasi-Rank Function
著者:: Haiyang Li, 等
出版事項: (2022-01-01)

Subspace-constrained approaches to low-rank fMRI acceleration
著者:: Mason, HT, 等
出版事項: (2021)

Intra-class Low-Rank Subspace Learning for Face Recognition
著者:: CAI Yuhong, WU Xiaojun
出版事項: (2022-12-01)

WITHDRAWN–Low-rank sparse subspace clustering with a clean dictionary
著者:: Cong-Zhe You, 等
出版事項: (2021-03-01)

Improved magnetic resonance fingerprinting reconstruction with low-rank and subspace modeling: A Subspace Approach to Improved MRF Reconstruction
著者:: Zhao, Bo, 等
出版事項: (2021)

Simultaneous multislice magnetic resonance fingerprinting with low-rank and subspace modeling
著者:: Zhao, Bo, 等
出版事項: (2020)

Subspace-constrained approaches to low-rank fMRI acceleration datasets
著者:: Mason, H
出版事項: (2020)

Exploring subspace-constrained approaches to low-rank fMRI acceleration
著者:: Mason, HT
出版事項: (2020)

Unified Low-Rank Subspace Clustering with Dynamic Hypergraph for Hyperspectral Image
著者:: Jinhuan Xu, 等
出版事項: (2021-04-01)

Weighted Low-Rank Tensor Representation for Multi-View Subspace Clustering
著者:: Shuqin Wang, 等
出版事項: (2021-01-01)

Low-rank approximation of parameter-dependent matrices via CUR decomposition
著者:: Park, T, 等
出版事項: (2025)

Some insights into rank conditions of vector subspaces
著者:: Zoran Z. Petrović, 等
出版事項: (2024-08-01)

Efficient bounds and estimates for canonical angles in randomized subspace approximations
著者:: Dong, Y, 等
出版事項: (2024)

Low-Rank Methods in Event Detection With Subsampled Point-to-Subspace Proximity Tests
著者:: Jakub Marecek, 等
出版事項: (2022-01-01)

Fast Superpixel Based Subspace Low Rank Learning Method for Hyperspectral Denoising
著者:: Le Sun, 等
出版事項: (2018-01-01)

Randomized low-rank approximation for symmetric indefinite matrice
著者:: Taejun, P, 等
出版事項: (2023)

WITHDRAWAL – Administrative Duplicate Publication: Low-rank sparse subspace clustering with a clean dictionary
出版事項: (2021-03-01)

Hyperspectral anomaly detection via low-rank and sparse decomposition with cluster subspace accumulation
著者:: Baozhi Cheng, 等
出版事項: (2024-11-01)

Sample Latent Feature-Associated Low-Rank Subspace Clustering for Hyperspectral Band Selection
著者:: Yujie Guo, 等
出版事項: (2024-01-01)

Discriminant Subspace Low-Rank Representation Algorithm for Electroencephalography-Based Alzheimer’s Disease Recognition
著者:: Tusheng Tang, 等
出版事項: (2022-06-01)

Non-Convex Sparse and Low-Rank Based Robust Subspace Segmentation for Data Mining
著者:: Wenlong Cheng, 等
出版事項: (2017-07-01)

Identifying subspace gene clusters from microarray data using low-rank representation.
著者:: Yan Cui, 等
出版事項: (2013-01-01)

Sparse Signal Recovery from Fixed Low-Rank Subspace via Compressive Measurement
著者:: Jun He, 等
出版事項: (2013-12-01)

Reduced-Rank Adaptive Filtering Using Krylov Subspace
著者:: Burykh Sergueï, 等
出版事項: (2002-01-01)

Robust Subspace Discovery via Relaxed Rank Minimization
著者:: Wang, Xinggang, 等
出版事項: (2014)

Speeding up Krylov subspace methods for computing f(A)b via randomization
著者:: Cortinovis, A, 等
出版事項: (2024)

Chordal decomposition in rank minimized semidefinite programs with applications to subspace clustering
著者:: Miller, J, 等
出版事項: (2020)

Low rank matrix completion
著者:: Nan, Feng, S.M. Massachusetts Institute of Technology
出版事項: (2010)

Spatiotemporal traffic data imputation by synergizing low tensor ring rank and nonlocal subspace regularization
著者:: Peng‐Ling Wu, 等
出版事項: (2023-09-01)

Low-Rank Subspace Learning of Multikernel Based on Weighted Truncated Nuclear Norm for Image Segmentation
著者:: Li Li, 等
出版事項: (2022-01-01)

Generalized gene co-expression analysis via subspace clustering using low-rank representation
著者:: Tongxin Wang, 等
出版事項: (2019-05-01)