Sep 13, 2016 · Abstract:This is an expository paper on the theory of gradient flows, and in particular of those PDEs which can be interpreted as gradient ...
May 1, 2020 · Gradient as local information. The intuitive principle behind gradient descent is the quest for local descent. We thus need to characterize the ...
Jan 1, 2015 · ... gradient flows in metric spaces and the second one devoted to gradient flows in the L. 2. -Wasserstein space of probability measures. 1 on a ...
Gradient flows
Book by Luigi Ambrosio
This book is devoted to a theory of gradient ?ows in spaces which are not nec- sarily endowed with a natural linear or di?erentiable structure. ... Google Books
Originally published: 2005
Author: Luigi Ambrosio
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Apr 24, 2017 · Heat Equation can also be viewed as a gradient flow in the Wasserstein space. The need of minimizing functionals on metric space. Example.
About this book. This book is devoted to a theory of gradient ?ows in spaces which are not nec- sarily endowed with a natural linear or di?erentiable structure.
Dec 24, 2020 · Gradient flows have been a popular tool in the analysis of PDEs. Recently, gradient flows of various distances/divergences used in machine ...
Mar 14, 2017 · Abstract. This is an expository paper on the theory of gradient flows, and in particular of those PDEs which can be interpreted as gradient ...
Mar 14, 2007 · 6.1 Gradient flows and evolutionary PDE's of diffusion type . . . . . ... The notion of gradient flows. There are at least four possible ...
Wasserstein gradient flows provide a powerful means of understanding and solving many diffusion equations. Specifically, Fokker-Planck equations, ...