Useful linksΒΆ
The github repository teneva_jax with the fast jax version of the teneva code.
The github repository teneva_bm with benchmarks library for testing multidimensional approximation and optimization methods.
The github repository teneva_opti with wrapper for various optimizers adapted to work with benchmarks from teneva_bm.
The github repository ttopt with the gradient-free optimization method TTOpt for multivariable functions based on the TT-format and maximal-volume principle (see also NeurIPS-2022 paper).
The github repository PROTES with the optimization method PROTES (PRobability Optimizer with TEnsor Sampling) for derivative-free optimization of the multidimensional arrays and discretized multivariate functions based on the TT-format (see also arxiv paper).
The github repository Constructive-TT with the method for constructive TT-representation of the tensors given as index interaction functions (see also ICLR-2023 paper).
Paper Tensor train decomposition, in which the TT-decomposition is presented and the main its properties are described.
Dissertation work Computational tensor methods and their applications (in Russian only), in which the TT-decomposition is proposed and all its properties are described in detail.
Dissertation work Tensor methods for multidimensional differential equations (in Russian only), which presents various new algorithms in the TT-format for problems of multidimensional approximation, optimization and solution of differential equations.