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 ...
We study Monge's optimal transportation problem, where the cost is given by an optimal control cost. We prove the existence and uniqueness of an optimal map under certain regularity conditions on the ...
Optimal transportation networks represent a vital intersection of mathematical optimisation, network theory and applied engineering. These problems focus on designing networks that transport resources ...
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A thermodynamic approach to machine learning: How optimal transport theory can improve generative models
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 ...
Over the past decades, optimal transport theory has found broad applications across both applied and theoretical fields. A central role is played by the so-called fundamental theorem of optimal ...
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 ...
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