Central limit theorems for stochastic gradient descent with averaging for stable manifolds*

Dereich, Steffen; Kassing, Sebastian (2023)

In: Electronic Journal of Probability, 28. doi:10.1214/23-EJP947

Research article (journal) | Peer reviewed | Published

On minimal representations of shallow ReLU networks

Dereich, Steffen; Kassing, Sebastian (2022)

In: Neural Networks, 148. doi:10.1016/j.neunet.2022.01.006

Research article (journal) | Peer reviewed | Published

General multilevel adaptations for stochastic approximation algorithms of Robbins-Monro and Polyak-Ruppert type

Dereich, Steffen; Mueller-Gronbach, Thomas (2019)

In: Numerische Mathematik, 142(2). doi:10.1007/s00211-019-01024-y

Research article (journal) | Peer reviewed | Published

The Shape of the Emerging Condensate in Effective Models of Condensation

Betz, Volker; Dereich, Steffen; Moerters, Peter (2018)

In: Annales Henri Poincare, 19(6), 1869-1889. doi:10.1007/s00023-018-0673-7

Research article (journal) | Peer reviewed | Published

Nonextensive condensation in reinforced branching processes

Dereich S., Mailler C., Mörters P. (2017)

In: Annals of Applied Probability, 27(4), 2539-2568. doi:10.1214/16-AAP1268

Research article (journal) | Peer reviewed | Published

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On the existence of minimizers in shallow residual ReLU neural network optimization landscapes Dereich, S.; Jentzen, A.; Kassing, S. (2023) In: arXiv.org:2302.14690. Research article in digital collection \| Preprint \| submitted / under review
Central limit theorems for stochastic gradient descent with averaging for stable manifolds* Dereich, Steffen; Kassing, Sebastian (2023) In: Electronic Journal of Probability, 28. doi:10.1214/23-EJP947 Research article (journal) \| Peer reviewed \| Published
Cooling down stochastic differential equations: Almost sure convergence Dereich, Steffen; Kassing, Sebastian (2022) In: Stochastic Processes and their Applications, 152. doi:10.1016/j.spa.2022.06.020 Research article (journal) \| Peer reviewed \| Published
On minimal representations of shallow ReLU networks Dereich, Steffen; Kassing, Sebastian (2022) In: Neural Networks, 148. doi:10.1016/j.neunet.2022.01.006 Research article (journal) \| Peer reviewed \| Published
General multilevel adaptations for stochastic approximation algorithms II: CLTs Dereich, Steffen (2021) In: Stochastic Processes and their Applications, 132. doi:10.1016/j.spa.2020.11.001 Research article (journal) \| Peer reviewed \| Published
General multilevel adaptations for stochastic approximation algorithms of Robbins-Monro and Polyak-Ruppert type Dereich, Steffen; Mueller-Gronbach, Thomas (2019) In: Numerische Mathematik, 142(2). doi:10.1007/s00211-019-01024-y Research article (journal) \| Peer reviewed \| Published
Local Neighbourhoods for First-Passage Percolation on the Configuration Model Dereich, Steffen; Ortgiese, Marcel (2018) In: Journal of Statistical Physics, 173(3-4). doi:10.1007/s10955-018-2028-7 Research article (journal) \| Peer reviewed \| Published
The Shape of the Emerging Condensate in Effective Models of Condensation Betz, Volker; Dereich, Steffen; Moerters, Peter (2018) In: Annales Henri Poincare, 19(6), 1869-1889. doi:10.1007/s00023-018-0673-7 Research article (journal) \| Peer reviewed \| Published
Real self-similar processes started from the origin Dereich S., Döring L., Kyprianou A. (2017) In: Annals of Probability, 45(3), 1952-2003. doi:10.1214/16-AOP1105 Research article (journal) \| Peer reviewed \| Published
Nonextensive condensation in reinforced branching processes Dereich S., Mailler C., Mörters P. (2017) In: Annals of Applied Probability, 27(4), 2539-2568. doi:10.1214/16-AAP1268 Research article (journal) \| Peer reviewed \| Published