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2020 – today
- 2024
[j8]Benjamin Gess, Sebastian Kassing, Vitalii Konarovskyi:
Stochastic Modified Flows, Mean-Field Limits and Dynamics of Stochastic Gradient Descent. J. Mach. Learn. Res. 25: 30:1-30:27 (2024)- [i8]Benjamin Gess, Sebastian Kassing, Nimit Rana:
Stochastic Modified Flows for Riemannian Stochastic Gradient Descent. CoRR abs/2402.03467 (2024) - 2023
- [j7]Benjamin Gess, Rishabh S. Gvalani
, Florian Kunick, Felix Otto:
Thermodynamically consistent and positivity-preserving discretization of the thin-film equation with thermal noise. Math. Comput. 92(343): 1931-1976 (2023) - [i7]Benjamin Gess, Sebastian Kassing:
Convergence rates for momentum stochastic gradient descent with noise of machine learning type. CoRR abs/2302.03550 (2023) - [i6]Benjamin Gess, Sebastian Kassing, Vitalii Konarovskyi:
Stochastic Modified Flows, Mean-Field Limits and Dynamics of Stochastic Gradient Descent. CoRR abs/2302.07125 (2023) - 2022
- [i5]Benjamin Gess, Rishabh S. Gvalani, Vitalii Konarovskyi:
Conservative SPDEs as fluctuating mean field limits of stochastic gradient descent. CoRR abs/2207.05705 (2022) - 2021
- [i4]Lubomír Bañas, Benjamin Gess, Marius Neuß:
Stochastic partial differential equations arising in self-organized criticality. CoRR abs/2104.13336 (2021) - [i3]Benjamin Gess, Rishabh S. Gvalani, Florian Kunick, Felix Otto:
Thermodynamically consistent and positivity-preserving discretization of the thin-film equation with thermal noise. CoRR abs/2109.06083 (2021) - 2020
- [j6]Benjamin J. Fehrman, Benjamin Gess, Arnulf Jentzen:
Convergence Rates for the Stochastic Gradient Descent Method for Non-Convex Objective Functions. J. Mach. Learn. Res. 21: 136:1-136:48 (2020) - [j5]Konstantinos Dareiotis, Benjamin Gess, Pavlos Tsatsoulis:
Ergodicity for Stochastic Porous Media Equations with Multiplicative Noise. SIAM J. Math. Anal. 52(5): 4524-4564 (2020) - [i2]Lubomír Bañas, Benjamin Gess, Christian Vieth:
Numerical approximation of singular-degenerate parabolic stochastic PDEs. CoRR abs/2012.12150 (2020)
2010 – 2019
- 2019
- [i1]Benjamin J. Fehrman, Benjamin Gess, Arnulf Jentzen:
Convergence rates for the stochastic gradient descent method for non-convex objective functions. CoRR abs/1904.01517 (2019) - 2016
- [j4]Benjamin Gess, Jonas M. Tölle:
Ergodicity and Local Limits for Stochastic Local and Nonlocal p-Laplace Equations. SIAM J. Math. Anal. 48(6): 4094-4125 (2016) - [j3]Benjamin Gess, Benoît Perthame, Panagiotis E. Souganidis:
Semi-discretization for Stochastic Scalar Conservation Laws with Multiple Rough Fluxes. SIAM J. Numer. Anal. 54(4): 2187-2209 (2016) - 2015
- [j2]Benjamin Gess, Michael Röckner:
Singular-Degenerate Multivalued Stochastic Fast Diffusion Equations. SIAM J. Math. Anal. 47(5): 4058-4090 (2015) - 2013
- [j1]Benjamin Gess:
Finite Speed of Propagation for Stochastic Porous Media Equations. SIAM J. Math. Anal. 45(5): 2734-2766 (2013)
Coauthor Index
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