30 citations · 190 across the 36 of their papers we have counts for
6 papers · 1 filter
Optimization of Functions Given in the Tensor Train Format
Andrei Chertkov, Gleb Ryzhakov, Georgii Novikov +1
Tensor train (TT) format is a common approach for computationally efficient work with multidimensional arrays, vectors, matrices, and discretized functions in a wide range of appli…
Direct optimization of BPX preconditioners
Vladimir Fanaskov, Ivan Oseledets
We consider an automatic construction of locally optimal preconditioners for positive definite linear systems. To achieve this goal, we introduce a differentiable loss function tha…
Solution of the Fokker-Planck equation by cross approximation method in the tensor train format
Andrei Chertkov, Ivan Oseledets
We propose the novel numerical scheme for solution of the multidimensional Fokker-Planck equation, which is based on the Chebyshev interpolation and the spectral differentiation te…
Quantized tensor FEM for multiscale problems: diffusion problems in two and three dimensions
V. Kazeev, I. Oseledets, M. Rakhuba +1
Homogenization in terms of multiscale limits transforms a multiscale problem with asymptotically separated microscales posed on a physical domain int…
Tensor Completion via Gaussian Process Based Initialization
Yermek Kapushev, Ivan Oseledets, Evgeny Burnaev
In this paper, we consider the tensor completion problem representing the solution in the tensor train (TT) format. It is assumed that tensor is high-dimensional, and tensor values…
Practical shift choice in the shift-and-invert Krylov subspace evaluations of the matrix exponential
Alexandr Katrutsa, Mike Botchev, Ivan Oseledets
We propose two methods to find a proper shift parameter in the shift-and-invert method for computing matrix exponential matrix-vector products. These methods are useful in the case…