815 citations · 3.2k across the 142 of their papers we have counts for
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Predicting dynamical system evolution with residual neural networks
Artem Chashchin, Mikhail Botchev, Ivan Oseledets +1
Forecasting time series and time-dependent data is a common problem in many applications. One typical example is solving ordinary differential equation (ODE) systems …
Time- and memory-efficient representation of complex mesoscale potentials
Grigory Drozdov, Igor Ostanin, Ivan Oseledets
We apply the modern technique of approximation of multivariate functions - tensor train cross approximation - to the problem of the description of physical interactions between com…
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…
Low rank approximations for the DEPOSIT computer code
Mikhail Litsarev, Ivan Oseledets
We present an efficient technique based on low-rank separated approximations for the computation of three-dimensional integrals in the computer code DEPOSIT that describes ion-atom…