815 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- I. Oseledets26 · h 51
- A. Bogatyrev13 · h 10
- K. Metlov11 · h 14
- S. Matveev4 profiles10 · h 9
- A. Smirnov4 profiles8 · h 24
- M. Rakhuba2 profiles7 · h 6
- N. Brilliantov2 profiles6 · h 30
- P. Krapivsky2 profiles6 · h 45
- Alexander Osinsky2 profiles5 · h 12
- E. Tyrtyshnikov5 · h 32
- P. Berloff5 · h 33
- S. Budzinskiy5 · h 6
- Russian Academy of SciencesRU62 papers
- Skolkovo Institute of Science and TechnologyRU35 papers
- Lomonosov Moscow State UniversityRU22 papers
- Moscow Institute of Physics and TechnologyRU13 papers
- Donetsk Institute for Physics and Engineering named after O.O. GalkinUA7 papers
- Imperial College LondonGB6 papers
- Boston UniversityUS5 papers
- National Research University Higher School of EconomicsRU5 papers
- University of LeicesterGB5 papers
- University of HoustonUS4 papers
- University of ReadingGB4 papers
- ETH ZurichCH3 papers
7 papers · 1 filter
Image of Abel-Jacobi map for hyperelliptic genus 3 and 4 curves
Andrei Bogatyrev
For the evaluation and inversion of abelian integrals we show that the image of the Abel-Jacobi map of genus less than 5 hyperelliptic curve in its Jacobian is the intersection of…
Simultaneous state-time approximation of the chemical master equation using tensor product formats
Sergey Dolgov, Boris Khoromskij
We study the application of the novel tensor formats (TT, QTT, QTT-Tucker) to the solution of -dimensional chemical master equations, applied mostly to gene regulating networks…
Iterative representing set selection for nested cross approximation
A. Yu Mikhalev, I. V. Oseledets
A new fast algebraic method for obtaining an -approximation of a matrix from its entries is presented. The main idea behind the method is based on the nested represe…
Low-rank approximation in the numerical modeling of the Farley-Buneman instability in ionospheric plasma
S. V. Dolgov, A. P. Smirnov, E. E. Tyrtyshnikov
We consider the numerical modeling of the Farley-Buneman instability development in the earth's ionosphere plasma. The ion behavior is governed by the kinetic Landau equation in th…
Quasioptimality of maximum-volume cross interpolation of tensors
Dmitry V. Savostyanov
We consider a cross interpolation of high-dimensional arrays in the tensor train format. We prove that the maximum-volume choice of the interpolation sets provides the quasioptimal…
Computation of extreme eigenvalues in higher dimensions using block tensor train format
Sergey V. Dolgov, Boris N. Khoromskij, Ivan V. Oseledets +1
We consider an approximate computation of several minimal eigenpairs of large Hermitian matrices which come from high--dimensional problems. We use the tensor train format (TT) for…
A projector-splitting integrator for dynamical low-rank approximation
Christian Lubich, Ivan Oseledets
The dynamical low-rank approximation of time-dependent matrices is a low-rank factorization updating technique. It leads to differential equations for factors of the matrices, whic…