3 papers
math.CA2026
Metric entropy of Fourier ratio classes on
Alex Iosevich, Vahagn Hovhannisyan, Zahra Keyshams +1
We study metric entropy and uniform sampling for classes of signals on with prescribed Fourier ratio. The Fourier ratio measures how spread out the Fourier transfor…
cs.IT2026
High-Dimensional Signal Compression: Lattice Point Bounds and Metric Entropy
A. Iosevich, A. Vagharshakyan, E. Wyman
We study worst-case signal compression under an energy constraint, with coordinate-dependent quantization precisions. The compression problem is reduced to counting lattic…
cs.LG2026
A Refinement of Vapnik--Chervonenkis' Theorem
A. Iosevich, A. Vagharshakyan, E. Wyman
Vapnik--Chervonenkis' theorem is a seminal result in machine learning. It establishes sufficient conditions for empirical probabilities to converge to theoretical probabilities, un…