3 papers
math.NA2026
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.NA2025
Selecting Optimal Sampling Rate for Stable Super-Resolution
Nuha Diab
We investigate the recovery of nodes and amplitudes from noisy frequency samples in spike train signals, also known as the super-resolution (SR) problem. When the node separation f…
math.NA2024
On the accuracy of Prony's method for recovery of exponential sums with closely spaced exponents
Rami Katz, Nuha Diab, Dmitry Batenkov
In this paper we establish accuracy bounds of Prony's method (PM) for recovery of sparse measures from incomplete and noisy frequency measurements, or the so-called problem of supe…