37 citations · 151 across the 27 of their papers we have counts for
Showing 2022Show all
3 papers · 1 filter
stat.ML2022★ 2 cited
A Kernel Approach for PDE Discovery and Operator Learning
Da Long, Nicole Mrvaljevic, Shandian Zhe +1
This article presents a three-step framework for learning and solving partial differential equations (PDEs) using kernel methods. Given a training set consisting of pairs of noisy…
math.OC2022
Intrinsic Sparsity of Kantorovich Solutions
Bamdad Hosseini, Stefan Steinerberger
Let be two finite sets of points having and points with and being the associated unifo…
math.OC2022★ 1 cited
An Optimal Transport Formulation of Bayes' Law for Nonlinear Filtering Algorithms
Amirhossein Taghvaei, Bamdad Hosseini
This paper presents a variational representation of the Bayes' law using optimal transportation theory. The variational representation is in terms of the optimal transportation bet…