13 citations · 35 across the 22 of their papers we have counts for
28 papers
On the Computational and Statistical Efficiency of the Empirical Maximum Entropy on the Mean Method
Matthew King-Roskamp, Gabriel Rioux, Rustum Choksi +1
The Maximum Entropy on the Mean (MEM) method provides a flexible computational framework for solving inverse problems by combining data fidelity with entropy-based regularization.…
Computer-Assisted Proofs for Geometric Optimization: From Crystallization to Carbon Nanotubes
Miguel Ayala, Rustum Choksi, Benedikt Wirth
We present a framework based on computer-assisted proofs that turns geometry optimization simulations for atomistic structures into mathematical proofs. Starting from a numerically…
On the number of defects in optimal quantizers on closed surfaces: the hexagonal torus
Jack Edward Tisdell, Rustum Choksi, Xin Yang Lu
We present a strategy for proving an asymptotic upper bound on the number of defects (non-hexagonal Voronoi cells) in the generator optimal quantizer on a closed surface (i.e.,…
Data-Driven Priors in the Maximum Entropy on the Mean Method for Linear Inverse Problems
Matthew King-Roskamp, Rustum Choksi, Tim Hoheisel
We establish the theoretical framework for implementing the maximumn entropy on the mean (MEM) method for linear inverse problems in the setting of approximate (data-driven) priors…
Maximum Entropy on the Mean and the Cramér Rate Function in Statistical Estimation and Inverse Problems: Properties, Models, and Algorithms
Yakov Vaisbourd, Rustum Choksi, Ariel Goodwin +2
We explore a method of statistical estimation called Maximum Entropy on the Mean (MEM) which is based on an information-driven criterion that quantifies the compliance of a given p…
Emergence of Collective Behaviors from Local Voronoi Topological Perception
Ivan Gonzalez, Jack Tisdell, Rustum Choksi +1
This article addresses how diverse collective behaviors arise from simple and realistic decisions made entirely at the level of each agent's personal space in the sense of the Voro…