14 citations · 53 across the 18 of their papers we have counts for
18 papers
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…
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…
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…
Sectorial Paley-Wiener Theorem
Armen Vagharshakyan
By correcting, simplifying and extending a result of Morimoto, we prove a Paley-Wiener type theorem for functions of exponential type in a sector. It serves as a sectorial analogue…
Trigonometric Convexity for the Multidimensional Indicator after Ivanov
Aleksandr Mkrtchyan, Armen Vagharshakyan
Multidimensional indicator after Ivanov is a generalization of the notion of indicator, that is well-known for analytic functions in one complex variable, to analytic functions in…
A Refinement of Carlson's Theorem
Armen Vagharshakyan
Carlson's theorem estimates the growth of an analytic function along the imaginary axis, provided that the function is zero at non-negative integers. We refine this theorem and des…