815 citations · 3.2k across the 142 of their papers we have counts for
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Grid-based electronic structure calculations: the tensor decomposition approach
Maxim Rakhuba, Ivan Oseledets
We present a fully grid-based approach for solving Hartree-Fock and all-electron Kohn-Sham equations based on low-rank approximation of three-dimensional electron orbitals. Due to…
Fast low-rank approximations of multidimensional integrals in ion-atomic collisions modelling
M. S. Litsarev, I. V. Oseledets
An efficient technique based on low-rank separated approximations is proposed for computation of three-dimensional integrals arising in the energy deposition model that describes i…
A low-rank approach to the computation of path integrals
M. S. Litsarev, I. V. Oseledets
We present a method for solving the reaction-diffusion equation with general potential in free space. It is based on the approximation of the Feynman-Kac formula by a sequence of c…
Toward Fast Topological-Shape Optimization With Boundary Elements
Igor Ostanin, Denis Zorin, Ivan Oseledets
Wide variety of engineering design tasks can be formulated as constrained optimization problems where the shape and topology of the domain are optimized to reduce costs while satis…
Linear complexity SimRank computation based on the iterative diagonal estimation
I. V. Oseledets, G. V. Ovchinnikov, A. M. Katrutsa
This paper presents a deterministic linear time complexity IDE-SimRank method to approximately compute SimRank with proved error bound. SimRank is a well-known similarity measure b…
Tensor SimRank for Heterogeneous Information Networks
Ben Usman, Ivan Oseledets
We propose a generalization of SimRank similarity measure for heterogeneous information networks. Given the information network, the intraclass similarity score s(a, b) is high if…