Zobrazeno 1 - 10
of 395
pro vyhledávání: '"MAMONOV, A. V."'
The paper addresses the problem of finding a low-rank approximation of a multi-dimensional tensor, $\Phi $, using a subset of its entries. A distinctive aspect of the tensor completion problem explored here is that entries of the $d$-dimensional tens
Externí odkaz:
http://arxiv.org/abs/2411.07151
A space-time-parameters structure of parametric parabolic PDEs motivates the application of tensor methods to define reduced order models (ROMs). Within a tensor-based ROM framework, the matrix SVD - a traditional dimension reduction technique - yiel
Externí odkaz:
http://arxiv.org/abs/2311.07883
For a nonlinear dynamical system that depends on parameters, the paper introduces a novel tensorial reduced-order model (TROM). The reduced model is projection-based, and for systems with no parameters involved, it resembles proper orthogonal decompo
Externí odkaz:
http://arxiv.org/abs/2302.08490
Waveform inversion is concerned with estimating a heterogeneous medium, modeled by variable coefficients of wave equations, using sources that emit probing signals and receivers that record the generated waves. It is an old and intensively studied in
Externí odkaz:
http://arxiv.org/abs/2302.05988
We study an inverse problem for the wave equation, concerned with estimating the wave speed, aka velocity, from data gathered by an array of sources and receivers that emit probing signals and measure the resulting waves. The typical mathematical for
Externí odkaz:
http://arxiv.org/abs/2208.11051
A novel approach to full waveform inversion (FWI), based on a data driven reduced order model (ROM) of the wave equation operator is introduced. The unknown medium is probed with pulses and the time domain pressure waveform data is recorded on an act
Externí odkaz:
http://arxiv.org/abs/2208.01209
We introduce a novel approach to waveform inversion, based on a data driven reduced order model (ROM) of the wave operator. The presentation is for the acoustic wave equation, but the approach can be extended to elastic or electromagnetic waves. The
Externí odkaz:
http://arxiv.org/abs/2202.01824
The paper introduces a reduced order model (ROM) for numerical integration of a dynamical system which depends on multiple parameters. The ROM is a projection of the dynamical system on a low dimensional space that is both problem-dependent and param
Externí odkaz:
http://arxiv.org/abs/2111.00649
We introduce a novel, computationally inexpensive approach for imaging with an active array of sensors, which probe an unknown medium with a pulse and measure the resulting waves. The imaging function uses a data driven estimate of the "internal wave
Externí odkaz:
http://arxiv.org/abs/2108.01609
Let $SB_n$ be the singular braid group generated by braid generators $\sigma_i$ and singular braid generators $\tau_i$, $1 \leq i \leq n-1$. Let $ST_n$ denote the group that is the kernel of the homomorphism that maps, for each $i$, $\sigma_i$ to the
Externí odkaz:
http://arxiv.org/abs/2008.00276