[HTML][HTML] Dynamical sampling for the recovery of spatially constant source terms in dynamical systems

A Aldroubi, RD Martín, I Medri - Linear Algebra and its Applications, 2024 - Elsevier
In this paper, we investigate the problem of source recovery in a dynamical system utilizing
space-time samples. This is a specific issue within the broader field of dynamical sampling …

Convolutional dynamical sampling and some new results

L Huang, AM Neuman, S Tang, Y Xie - arXiv preprint arXiv:2406.15122, 2024 - arxiv.org
In this work, we explore the dynamical sampling problem on $\ell^ 2 (\mathbb {Z}) $ driven
by a convolution operator defined by a convolution kernel. This problem is inspired by the …

Estimate the spectrum of affine dynamical systems from partial observations of a single trajectory data

J Cheng, S Tang - Inverse Problems, 2021 - iopscience.iop.org
In this paper, we study the nonlinear inverse problem of estimating the spectrum of a system
matrix, that drives a finite-dimensional affine dynamical system, from partial observations of …

Phase retrieval via polarization in dynamical sampling

R Beinert, M Hasannasab - International Conference on Scale Space and …, 2021 - Springer
In this paper we consider the nonlinear inverse problem of phase retrivial in the context of
dynamical sampling. Where phase retrieval deals with the recovery of signals & images from …

Reconstruction algorithms for source term recovery from dynamical samples in catalyst models

A Aldroubi, L Gong, I Krishtal, B Miller… - arXiv preprint arXiv …, 2024 - arxiv.org
This paper investigates the problem of recovering source terms in abstract initial value
problems (IVP) commonly used to model various scientific phenomena in physics, chemistry …

Characterization of frames for source recovery from dynamical samples

A Aldroubi, RD Martin, L Gong, J Mashreghi… - arXiv preprint arXiv …, 2024 - arxiv.org
In this paper, we address the problem of recovering constant source terms in a discrete
dynamical system represented by $ x_ {n+ 1}= Ax_n+ w $, where $ x_n $ is the $ n $-th state …