Generative modeling via tensor train sketching

Parallel Algorithms for Tensor Train Arithmetic

(2022) Hussam Al Daas et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

An introduction to deep generative modeling

(2021) Lars Ruthotto et al.   GAMM Mitteilungen

Approximation and sampling of multivariate probability distributions in the tensor train decomposition

(2019) Sergey Dolgov et al.   STATISTICS AND COMPUTING

Randomized algorithms for the approximations of Tucker and the tensor train decompositions

(2018) Maolin Che et al.   ADVANCES IN COMPUTATIONAL MATHEMATICS

A continuous analogue of the tensor-train decomposition

(2018) Alex Gorodetsky et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Riemannian Optimization for High-Dimensional Tensor Completion

(2016) Michael Steinlechner   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Spectral Tensor-Train Decomposition

(2016) Daniele Bigoni et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Density estimation by dual ascent of the log-likelihood

(2013) Esteban G. Tabak et al.   Communications in Mathematical Sciences

Functional singular component analysis

(2011) Wenjing Yang et al.   JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES B-STATISTICAL METHODOLOGY

Tensor-Train Decomposition

(2011) I. V. Oseledets   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Finding Structure with Randomness: Probabilistic Algorithms for Constructing Approximate Matrix Decompositions

(2011) N. Halko et al.   SIAM REVIEW

TT-cross approximation for multidimensional arrays

(2009) Ivan Oseledets et al.   LINEAR ALGEBRA AND ITS APPLICATIONS

A fast randomized algorithm for overdetermined linear least-squares regression

(2008) V. Rokhlin et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA