90 citations · 111 across the 3 of their papers we have counts for
4 papers
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 …
Microstructure synthesis using style-based generative adversarial network
Daria Fokina, Ekaterina Muravleva, George Ovchinnikov +1
Work considers the usage of StyleGAN architecture for the task of microstructure synthesis. The task is the following: given number of samples of structure we try to generate simil…
A parameteric class of composites with a large achievable range of effective elastic properties
Igor Ostanin, George Ovchinnikov, Davi Colli Tozoni +1
In this paper we investigate numerically an instance of the problem of G-closure for two-dimensional periodic metamaterials. Specifically, we consider composites with isotropic hom…
Robust regularization of topology optimization problems with a posteriori error estimators
G. V. Ovchinnikov, D. Zorin, I. V. Oseledets
Topological optimization finds a material density distribution minimizing a functional of the solution of a partial differential equation (PDE), subject to a set of constraints (ty…