Global optimization based on TT-decomposition

DOI10.1515/rnam-2020-0021OpenAlexW3052854579MaRDI QIDQ2202506

Dmitry A. Zheltkov, Evgenij E. Tyrtyshnikov

Publication date: 18 September 2020

Published in: Russian Journal of Numerical Analysis and Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/rnam-2020-0021

zbMATH Keywords

global optimizationtensor train

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) Multilinear algebra, tensor calculus (15A69)

Related Items (2)

Low-rank nonnegative tensor approximation via alternating projections and sketching ⋮ Tensor based approach to the numerical treatment of the parameter estimation problems in mathematical immunology

Uses Software

• NLopt
• TTDock

Cites Work

• Unnamed Item
• TT-cross approximation for multidimensional arrays
• New accuracy estimates for pseudoskeleton approximations of matrices
• Tensor based approach to the numerical treatment of the parameter estimation problems in mathematical immunology
• A theory of pseudoskeleton approximations
• Incomplete cross approximation in the mosaic-skeleton method
• Pseudo-skeleton approximations with better accuracy estimates
• Quasioptimality of maximum-volume cross interpolation of tensors
• Tensor trains approximation estimates in the Chebyshev norm
• Evaluation of the Docking Algorithm Based on Tensor Train Global Pptimization
• Breaking the Curse of Dimensionality, Or How to Use SVD in Many Dimensions
• Application of the Global Optimization Methods for Solving the Parameter Estimation Problem in Mathematical Immunology

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