140 citations · 709 across the 61 of their papers we have counts for
3 papers · 2 filters
Landau-Lifshitz-Navier-Stokes Equations: Large Deviations and Relationship to The Energy Equality
Benjamin Gess, Daniel Heydecker, Zhengyan Wu
The dynamical large deviations principle for the three-dimensional incompressible Landau-Lifschitz-Navier-Stokes equations is shown, in the joint scaling regime of vanishing noise…
The Porous Medium Equation: Large Deviations and Gradient Flow with Degenerate and Unbounded Diffusion
Benjamin Gess, Daniel Heydecker
The problem of deriving a gradient flow structure for the porous medium equation which is {\em thermodynamic}, in that it arises from the large deviations of some microscopic parti…
Stochastic Modified Flows, Mean-Field Limits and Dynamics of Stochastic Gradient Descent
Benjamin Gess, Sebastian Kassing, Vitalii Konarovskyi
We propose new limiting dynamics for stochastic gradient descent in the small learning rate regime called stochastic modified flows. These SDEs are driven by a cylindrical Brownian…