17049
Vitalii Konarovskyi, Max von Renesse PDF
Reversible coalescing-fragmentating Wasserstein dynamics on the real line
Project:
B8
Published: Journal of Functional Analysis 286, no. 8 (2024), Paper No. 110342
X
Reversible coalescing-fragmentating Wasserstein dynamics on the real line
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20107
Christian Vieth, L’ubomír Baňas, Benjamin Gess PDF
Numerical approximation of singular-degenerate parabolic stochastic PDEs
Project:
B1, B3, B8
X
Numerical approximation of singular-degenerate parabolic stochastic PDEs
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21049
Benjamin Fehrman, Benjamin Gess PDF
Well-posedness of the Dean-Kawasaki and the nonlinear Dawson-Watanabe equation with correlated noise
Project:
B8
Published: Archive for Rational Mechanics and Analysis 248 (2024), Paper No. 20
X
Well-posedness of the Dean-Kawasaki and the nonlinear Dawson-Watanabe equation with correlated noise
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21055
Michael Röckner, Yiming Su, Deng Zhang PDF
Multi-bubble Bourgain-Wang solutions to nonlinear Schrödinger equations
Project:
A1, B1, B8
Published: Trans. Amer. Math. Soc. 377, no. 1 (2024), 517–588
X
Multi-bubble Bourgain-Wang solutions to nonlinear Schrödinger equations
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21068
Michael Röckner, Yiming Su, Deng Zhang PDF
Multi solitary waves to stochastic nonlinear Schrödinger equations
Project:
A1, B1, B8
Published: Probab. Theory Relat. Fields 186, no. 3-4 (2023), 813–876
X
Multi solitary waves to stochastic nonlinear Schrödinger equations
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21095
Vitalii Konarovskyi, Vlada Limic PDF
On moments of multiplicative coalescents
Project:
B8
Published: Annales de l'Institut Henri Poincare (B) Probability and Statistics 60, no. 3 (2024), 2025–2045
X
On moments of multiplicative coalescents
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22047
Vitalii Konarovskyi, Victor Marx PDF
On conditioning Brownian particles to coalesce
Project:
B8
Published: Journal of Theoretical Probability 36, no. 4 (2023), 2126–2164 Notes:
https://arxiv.org/abs/2008.02568
X
On conditioning Brownian particles to coalesce
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22049
Vitalii Konarovskyi PDF
Coalescing-fragmentating Wasserstein dynamics: particle approach
Project:
B8
Published: Annales de l’Institut Henri Poincaré - Probabilités et Statistiques 59, no. 2 (2023), 983–1028
X
Coalescing-fragmentating Wasserstein dynamics: particle approach
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22076
L’ubomír Baňas, Benjamin Gess, Marius Neuss PDF
Stochastic partial differential equations arising in self-organized criticality
Project:
B3, B8
X
Stochastic partial differential equations arising in self-organized criticality
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23109
Benjamin Gess, Sebastian Kassing PDF
Convergence rates for momentum stochastic gradient descent with noise of machine learning type
Project:
B8
X
Convergence rates for momentum stochastic gradient descent with noise of machine learning type
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23110
Steffen Dereich, Arnulf Jentzen, Sebastian Kassing PDF
On the existence of minimizers in shallow residual ReLU neural network optimization landscapes
Project:
B8
Published: SIAM Journal on Numerical Analysis 62, no. 6 (2024), 2640−2666
X
On the existence of minimizers in shallow residual ReLU neural network optimization landscapes
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23111
Steffen Dereich, Sebastian Kassing PDF
On the existence of optimal shallow feedforward networks with ReLU activation
Project:
B8
Published: Journal of Machine Learning 3, no. 1 (2024), 1−22
X
On the existence of optimal shallow feedforward networks with ReLU activation
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23112
Benjamin Gess, Sebastian Kassing, Vitalii Konarovskyi PDF
Stochastic modified flows, mean-field limits and dynamics of stochastic gradient descent
Project:
B8
Published: Journal of Machine Learning Research 25, no. 30 (2024), 1−27
X
Stochastic modified flows, mean-field limits and dynamics of stochastic gradient descent
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23113
Vitalii Konarovskyi, Fenna Müller PDF
Dean-Kawasaki equation with initial condition in the space of positive distributions
Project:
B8
Published: Journal of Evolution Equations 24 (2024), Article number 92
X
Dean-Kawasaki equation with initial condition in the space of positive distributions
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24013
Benjamin Gess, Michael Röckner, Weina Wu PDF
SVI solutions to stochastic nonlinear diffusion equations on general measure spaces
Project:
B1, B8
To appear: Journal of Evolution Equations (2024)
X
SVI solutions to stochastic nonlinear diffusion equations on general measure spaces
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24056
Andrey Dorogovtsev, Vitalii Konarovskyi, Max von Renesse PDF
A central limit theorem for modified massive Arratia flow
Project:
B8
X
A central limit theorem for modified massive Arratia flow
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24059
Benjamin Gess, Rishabh S. Gvalani, Vitalii Konarovskyi PDF
Conservative SPDEs as fluctuating mean field limits of stochastic gradient descent
Project:
B8
Published: Probab. Theory Relat. Fields (2025)
X
Conservative SPDEs as fluctuating mean field limits of stochastic gradient descent
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24060
Benjamin Gess, Vitalii Konarovskyi PDF
A quantitative central limit theorem for the simple symmetric exclusion process
Project:
B8
X
A quantitative central limit theorem for the simple symmetric exclusion process
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24099
Sebastian Kassing, Simon Weissmann PDF
Polyak's heavy ball method achieves accelerated local rate of convergence under Polyak-Lojasiewicz inequality
Project:
B8
X
Polyak's heavy ball method achieves accelerated local rate of convergence under Polyak-Lojasiewicz inequality
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25025
Benjamin Gess, Sebastian Herr, Anne Dorothea Niesdroy PDF
Existence of martingale solutions to a stochastic kinetic model of chemotaxis
Project:
A1, B8
X
Existence of martingale solutions to a stochastic kinetic model of chemotaxis
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