3 papers
math.MG2025
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.,…
stat.ML2024
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…
math-ph2012
Global minimizers for axisymmetric multiphase membranes
Rustum Choksi, Marco Morandotti, Marco Veneroni
We consider a Canham-Helfrich-type variational problem defined over closed surfaces enclosing a fixed volume and having fixed surface area. The problem models the shape of multipha…