An approximate projection onto the tangent cone to the variety of third-order tensors of bounded tensor-train rank

DOI10.1007/978-3-031-38271-0_48arXiv2306.13360OpenAlexW4385435264MaRDI QIDQ6178883

Charlotte Vermeylen, Marc Van Barel, Guillaume Olikier

Publication date: 16 January 2024

Published in: Lecture Notes in Computer Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2306.13360

zbMATH Keywords

projectiontangent coneangle conditiontensor-train decomposition

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Multilinear algebra, tensor calculus (15A69) Numerical computation of matrix exponential and similar matrix functions (65F60)

Cites Work

• Tensor-Train Decomposition
• Tangent cones to tensor train varieties
• On manifolds of tensors of fixed TT-rank
• Riemannian Optimization for High-Dimensional Tensor Completion
• Low-Rank Tensor Methods with Subspace Correction for Symmetric Eigenvalue Problems
• Convergence Results for Projected Line-Search Methods on Varieties of Low-Rank Matrices Via Łojasiewicz Inequality
• Variational Analysis
• Tensor Spaces and Numerical Tensor Calculus
• Time Integration of Tensor Trains
• Finding stationary points on bounded-rank matrices: a geometric hurdle and a smooth remedy

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