From the 1 of 8 linked papers with an AI index.
8 papers
Fourier Ratios of Graph Kernels: Energy Bounds, Optimal Labelings, and Recovery
Vishal Gupta, Alex Iosevich
The paper introduces a labeling‑sensitive Fourier ratio invariant for finite graph kernels, derives lower bounds in terms of graph energy and Laplacian eigenvalue multiplicities, a…
Elliptic curves, Fourier ratio, and sampling complexity
W. Burstein, A. Iosevich, A. Sant
We study the normalized Frobenius trace associated with the Legendre family of elliptic curves over from the point of view of Fourier complexity. If \[ f(t)=\frac{a_p…
The ErdÅs Similarity Conjecture for Two-Fold Sumsets with a Geometric Summand
N. Mora Cuellar, A. Iosevich, N. Kulkarni +2
We settle a major case in the two-set regime of the ErdÅs similarity conjecture: the sum of a geometric sequence and an arbitrary infinite set is never measure universal. Here a s…
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…
Large values in time series and additive combinatorics
Alex Iosevich, Vishal Gupta
It is well-known in industrial data science that large values of real-life time series tend to be structured and often follow concrete and visible patterns. In this paper, we use i…
Arithmetic functions and learning theory
W. Burstein, A. Iosevich, A. Sant
We establish a connection between analytic number theory and computational learning theory by showing that the Möbius function belongs to a class of functions that is statisticall…