3 papers
math.NA2022
FMM-Net: neural network architecture based on the Fast Multipole Method
Daria Sushnikova, Pavel Kharyuk, Ivan Oseledets
In this paper, we propose a new neural network architecture based on the H2 matrix. Even though networks with H2-inspired architecture already exist, and our approach is designed t…
math.NA2017
Simple non-extensive sparsification of the hierarchical matrices
Daria Sushnikova, Ivan Oseledets
In this paper, we consider the matrices approximated in H2 format. The direct solution, as well as the preconditioning, of systems with such matrices is a challenging problem. We p…
math.NA2016
"Compress and eliminate" solver for symmetric positive definite sparse matrices
Daria A. Sushnikova, Ivan V. Oseledets
We propose a new approximate factorization for solving linear systems with symmetric positive definite sparse matrices. In a nutshell the algorithm is to apply hierarchically block…