15 citations · 49 across the 10 of their papers we have counts for
10 papers
Matrices over a Hilbert space and their low-rank cross approximation
Stanislav Budzinskiy
Motivated by applications in reduced-order modeling (ROM) of parametric partial differential equations, we investigate the algebraic properties of Bochner matrices -- matrices with…
Quasioptimal alternating projections and their use in low-rank approximation of matrices and tensors
Stanislav Budzinskiy
We study the convergence of specific inexact alternating projections for two non-convex sets in a Euclidean space. The -quasioptimal metric projection () of a point …
Low-rank nonnegative tensor approximation via alternating projections and sketching
Azamat Sultonov, Sergey Matveev, Stanislav Budzinskiy
We show how to construct nonnegative low-rank approximations of nonnegative tensors in Tucker and tensor train formats. We use alternating projections between the nonnegative ortha…
Variational Bayesian inference for CP tensor completion with side information
Stanislav Budzinskiy, Nikolai Zamarashkin
We propose a message passing algorithm, based on variational Bayesian inference, for low-rank tensor completion with automatic rank determination in the canonical polyadic format w…
Sketching for low-rank nonnegative matrix approximation: Numerical study
Sergey A. Matveev, Stanislav Budzinskiy
We propose new approximate alternating projection methods, based on randomized sketching, for the low-rank nonnegative matrix approximation problem: find a low-rank approximation o…
Tensor train completion: local recovery guarantees via Riemannian optimization
Stanislav Budzinskiy, Nikolai Zamarashkin
In this work, we estimate the number of randomly selected elements of a tensor that with high probability guarantees local convergence of Riemannian gradient descent for tensor tra…
Hopf bifurcation in addition-shattering kinetics
Stanislav S. Budzinskiy, Sergey A. Matveev, Pavel L. Krapivsky
In aggregation-fragmentation processes, a steady state is usually reached in the long time limit. This indicates the existence of a fixed point in the underlying system of ordinary…
Note: low-rank tensor train completion with side information based on Riemannian optimization
Stanislav Budzinskiy, Nikolai Zamarashkin
We consider the low-rank tensor train completion problem when additional side information is available in the form of subspaces that contain the mode- fiber spans. We propose an…
Pulsating and rotating spirals in a delayed feedback diffractive nonlinear optical system
Stanislav Budzinskiy, Alexander Razgulin
We study spiral waves in a mathematical model of a nonlinear optical system with a feedback loop. Starting from a delayed scalar diffusion equation in a thin annulus with oblique d…
Zeros of Bessel cross-products coming from oblique derivative boundary value problems
Stanislav Budzinskiy
The paper is devoted to (combinations of) Bessel cross-products that arise from oblique derivative boundary value problems for the Laplacian in a circular annulus. We show that lik…