2 citations · 3 across the 7 of their papers we have counts for
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Discretizing advection equations with rough velocity fields on non-cartesian grids
Pierre-Emmanuel Jabin, Datong Zhou
We investigate the properties of discretizations of advection equations on non-cartesian grids and graphs in general. Advection equations discretized on non-cartesian grids have re…
Mean-field limit and quantitative estimates with singular attractive kernels
Didier Bresch, Pierre-Emmanuel Jabin, Zhenfu Wang
This paper proves the mean field limit and quantitative estimates for many-particle systems with singular attractive interactions between particles. As an important example, a full…
Stability for the Training of Deep Neural Networks and Other Classifiers
Leonid Berlyand, Pierre-Emmanuel Jabin, C. Alex Safsten
We examine the stability of loss-minimizing training processes that are used for deep neural networks (DNN) and other classifiers. While a classifier is optimized during training t…
Modulated Free Energy and Mean Field Limit
Didier Bresch, Pierre-Emmanuel Jabin, Zhenfu Wang
This is the document corresponding to the talk the first author gave at IH{É}S for the Laurent Schwartz seminar on November 19, 2019. It concerns our recent introduction of a modul…
Local regularity result for an optimal transportation problem with rough measures in the plane
P. -E. Jabin, A. Mellet, M. Molina
We investigate the properties of convex functions in the plane that satisfy a local inequality which generalizes the notion of sub-solution of Monge-Ampere equation for a Monge-Kan…
Global weak solutions to the relativistic BGK equation
Juan Calvo, Pierre-Emmanuel Jabin, Juan Soler
In this paper the global existence of weak solutions to the relativistic BGK model for the relativistic Boltzmann equation is analyzed. The proof relies on the strong compactness o…