data science 1discrete energy 1erdos-falconer problem 1Hausdorff dimension 1metric geometry 1riesz energy 1
From the 1 of 3 linked papers with an AI index.
3 papers
math.CA2026
Limits of Discrete Energy of Families of Increasing Sets
Hari Sarang Nathan
The paper studies how the discrete Riesz energy of point sets that increasingly fill a region can be used to estimate the Hausdorff dimension of that region, with connections to da…
math.CA2026
The Fourier Ratio: A Unifying Measure of Complexity for Recovery, Localization, and Learning
Will Burstein, Alex Iosevich, Hari Sarang Nathan
We introduce a generalized Fourier ratio, the \(\ell^1/\ell^2\) norm ratio of coefficients in an \emph{arbitrary} orthonormal system, as a single, basis-invariant measure of \emph{…
math.CA2025
Fourier minimization and imputation of time series
Will Burstein, Alex Iosevich, Azita Mayeli +1
One of the most common procedures in modern data analytics is filling in missing values in times series. For a variety of reasons, the data provided by clients to obtain a forecast…