ABSTRACT
A cornerstone of topological electrodynamics is the bulk-boundary (or bulk-edge) correspondence principle (BBCP): the number of topologically protected interface modes between two periodic...
ABSTRACT
We will consider the inverse problem of determining the sound speed or index or refraction of a medium by measuring the travel times of waves going through the medium....
ABSTRACT
We introduce a new parameterization strategy that can be used to design algorithms simulating geometric flows on Wasserstein manifold, the probability density space equipped with optimal t...
ABSTRACT
First, we review the semi-discrete optimal transport problem and its relation to a Laguerre tessellation. Then, we propose a new method for solving the semi-discrete optimal transpor...
ABSTRACT
Machine Learning (ML) is a scientific study of numerical algorithms and statistical models that computer systems use to effectively predict a specific task without using specific human ins...
ABSTRACT
We propose a general method to identify nonlinear Fokker-Planck-Kolmogorov equations (FPK equations) as gradient flows on the space of Borel probability measures on Rd with a natural ...