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math.NA2024
Spectral Properties of Infinitely Smooth Kernel Matrices in the Single Cluster Limit, with Applications to Multivariate Super-Resolution
Nuha Diab, Dmitry Batenkov
We study the spectral properties of infinitely smooth multivariate kernel matrices when the nodes form a single cluster. We show that the geometry of the nodes plays an important r…
math.OC2024
Data-driven identification of reaction-diffusion dynamics from finitely many non-local noisy measurements by exponential fitting
Rami Katz, Giulia Giordano, Dmitry Batenkov
Given a reaction-diffusion equation with unknown right-hand side, we consider a nonlinear inverse problem of estimating the associated leading eigenvalues and initial condition mod…