6 citations · 7 across the 7 of their papers we have counts for
7 papers
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…
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…
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…
Decimated Prony's Method for Stable Super-resolution
Rami Katz, Nuha Diab, Dmitry Batenkov
We study recovery of amplitudes and nodes of a finite impulse train from noisy frequency samples. This problem is known as super-resolution under sparsity constraints and has numer…
Super-resolution of generalized spikes and spectra of confluent Vandermonde matrices
Dmitry Batenkov, Nuha Diab
We study the problem of super-resolution of a linear combination of Dirac distributions and their derivatives on a one-dimensional circle from noisy Fourier measurements. Following…
Non-Adaptive Randomized Algorithm for Group Testing
Nader H. Bshouty, Nuha Diab, Shada R. Kawar +1
We study the problem of group testing with a non-adaptive randomized algorithm in the random incidence design (RID) model where each entry in the test is chosen randomly independen…
Enumerating all the Irreducible Polynomials over Finite Field
Nader H. Bshouty, Nuha Diab, Shada R. Kawar +1
In this paper we give a detailed analysis of deterministic and randomized algorithms that enumerate any number of irreducible polynomials of degree over a finite field and thei…