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math.PR2019
Non-equilibrium large deviations and parabolic-hyperbolic PDE with irregular drift
Benjamin Fehrman, Benjamin Gess
Large deviations of conservative interacting particle systems, such as the zero range process, about their hydrodynamic limit and their respective rate functions lead to the analys…
math.NA2019
Convergence rates for the stochastic gradient descent method for non-convex objective functions
Benjamin Fehrman, Benjamin Gess, Arnulf Jentzen
We prove the local convergence to minima and estimates on the rate of convergence for the stochastic gradient descent method in the case of not necessarily globally convex nor cont…