On orthogonal tensors and best rank-one approximation ratio

On orthogonal tensors and best rank-one approximation ratio

As is well known, the smallest possible ratio between the spectral norm and the Frobenius norm of an m × n matrix with m ≤ n is 1/%m and is (up to scalar scaling) attained only by matrices having pairwise orthonormal rows. In the present paper, the smallest possible ratio between spectral and Froben...

Полное описание

Библиографические подробности
Главные авторы:	Li, Z, Nakatsukasa, Y, Soma, T, Uschmajew, A
Формат:	Journal article
Язык:	English
Опубликовано:	Society for Industrial and Applied Mathematics 2018

Схожие документы

Finding a low-rank basis in a matrix subspace
по: Nakatsukasa, Y, и др.
Опубликовано: (2016)

Error localization of best $L_{1}$ polynomial approximants
по: Nakatsukasa, Y, и др.
Опубликовано: (2021)

Low-rank approximation of parameter-dependent matrices via CUR decomposition
по: Park, T, и др.
Опубликовано: (2025)

Orthogonal Tensor Recovery Based on Non-Convex Regularization and Rank Estimation
по: Xixiang Chen, и др.
Опубликовано: (2024-01-01)

Tensor Completion via Smooth Rank Function Low-Rank Approximate Regularization
по: Shicheng Yu, и др.
Опубликовано: (2023-08-01)

Randomized low-rank approximation for symmetric indefinite matrice
по: Taejun, P, и др.
Опубликовано: (2023)

Nonconvex Nonlinear Transformation of Low-Rank Approximation for Tensor Completion
по: Yifan Mei, и др.
Опубликовано: (2024-12-01)

Low rank Tucker-type tensor approximation to classical potentials
по: Khoromskij B., и др.
Опубликовано: (2007-09-01)

Robust Image Feature Extraction via Approximate Orthogonal Low-Rank Embedding
по: Cong Fu, и др.
Опубликовано: (2020-01-01)

Spatially regularized low-rank tensor approximation for accurate and fast tractography
по: Johannes Gruen, и др.
Опубликовано: (2023-05-01)

Low Multilinear Rank Approximation of Tensors and Application in Missing Traffic Data
по: Huachun Tan, и др.
Опубликовано: (2014-02-01)

Best orthogonal trigonometric approximations of the Nikol'skii-Besov-type classes of periodic functions of one and several variables
по: O.V. Fedunyk-Yaremchuk, и др.
Опубликовано: (2022-06-01)

A low-rank approximation of tensors and the topological group structure of invertible matrices
по: R.N. Gumerov, и др.
Опубликовано: (2018-12-01)

Tracking online low-rank approximations of higher-order incomplete streaming tensors
по: Le Trung Thanh, и др.
Опубликовано: (2023-06-01)

Tensor Robust Principal Component Analysis via Non-Convex Low Rank Approximation
по: Shuting Cai, и др.
Опубликовано: (2019-04-01)

Set Evincing the Ranks with Respect to an Embedded Variety (Symmetric Tensor Rank and Tensor Rank
по: Edoardo Ballico
Опубликовано: (2018-08-01)

Rank revealing‐based tensor completion using improved generalized tensor multi‐rank minimization
по: Wei Z. Sun, и др.
Опубликовано: (2021-10-01)

Editorial: High-performance tensor computations in scientific computing and data science
по: Edoardo Di Napoli, и др.
Опубликовано: (2022-09-01)

Singular vectors of orthogonally decomposable tensors
по: Robeva, E, и др.
Опубликовано: (2017)

Computing Low-Rank Approximations of Large-Scale Matrices with the Tensor Network Randomized SVD
по: Batselier, Kim, и др.
Опубликовано: (2019)

Fast randomized numerical rank estimation for numerically low-rank matrices
по: Meier, M, и др.
Опубликовано: (2024)

Orthogonal random projection for tensor completion
по: Yali Feng, и др.
Опубликовано: (2020-08-01)

Orthogonal bases of invariants in tensor models
по: Pablo Diaz, и др.
Опубликовано: (2018-02-01)

On best one-sided approximation with interpolatory families
по: Ilija Lazarevic
Опубликовано: (1974-08-01)

On best one-sided approximation with interpolatory families
по: Ilija Lazarevic
Опубликовано: (1974-08-01)

BEST APPROXIMATION IN QUASI TENSOR PRODUCT SPACE AND DIRECT SUM OF LATTICE NORMED SPACES
по: Mahdi Iranmanesh, и др.
Опубликовано: (2014-09-01)

Orthogonal series approximation for boundary layers
по: Adžić Nevenka, и др.
Опубликовано: (2004-01-01)

On Approximate Birkhoff-James Orthogonality and Approximate $ast$-orthogonality in $C^ast$-algebras
по: Seyed Mohammad Sadegh Nabavi Sales
Опубликовано: (2019-02-01)

Remote Sensing Image Denoising via Low-Rank Tensor Approximation and Robust Noise Modeling
по: Tian-Hui Ma, и др.
Опубликовано: (2020-04-01)

Counting Tensor Rank Decompositions
по: Dennis Obster, и др.
Опубликовано: (2021-08-01)

Pointwise orthogonal splitting of the space of TT-tensors
по: S. E. Stepanov, и др.
Опубликовано: (2023-01-01)

Expression of strain tensor in orthogonal curvilinear coordinates
по: Xuyan Liu, и др.
Опубликовано: (2010-01-01)

Hyperspectral Image Super-Resolution via Nonlocal Low-Rank Tensor Approximation and Total Variation Regularization
по: Yao Wang, и др.
Опубликовано: (2017-12-01)

Rational approximation of $x^n$
по: Nakatsukasa, Y, и др.
Опубликовано: (2018)

An approximate solution of one singular integro-differential equation using the method of orthogonal polynomials
по: Galina A. Rasolko, и др.
Опубликовано: (2020-07-01)

Polynomial bound for the partition rank vs the analytic rank of tensors
по: Oliver Janzer
Опубликовано: (2020-05-01)

Sharp error bounds for Ritz vectors and approximate singular vectors
по: Nakatsukasa, Y
Опубликовано: (2020)

Denoising 3D Magnetic Resonance Images Based on Low-Rank Tensor Approximation With Adaptive Multirank Estimation
по: Hongli Lv, и др.
Опубликовано: (2019-01-01)

Continual learning in low-rank orthogonal subspaces
по: Chaudhry, A, и др.
Опубликовано: (2020)

Multiresolution Low-rank Tensor Formats
по: Mickelin, Oscar, и др.
Опубликовано: (2021)