Alessio Figalli studies optimal transport, a field of math that ranges from the movements of clouds to the workings of chatbots. By Siobhan Roberts The words “optimal” and “optimize” derive from the ...
As a generalization of the optimal mass transport (OMT) approach of Benamou and Brenier’s, the regularized optimal mass transport (rOMT) formulates a transport problem from an initial mass ...
Joint research led by Sosuke Ito of the University of Tokyo has shown that nonequilibrium thermodynamics, a branch of physics that deals with constantly changing systems, explains why optimal ...
Optimal transport theory provides a rigorous framework for comparing and transforming probability distributions by minimising a cost function associated with “moving” mass from one configuration to ...
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