University of Münster
CRIS@UM
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Professorship for Theory of Probability (Prof. Dereich)

Status: Organisation is active
Address: 
Orléans-Ring 10
48149 Münster
Germany

Publications

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
Show all publications (45)

Projects

EXC 2044 - T08: Random discrete structures and their limits
Duration: 01/01/2026 - 31/12/2032 | 1st Funding period
Funded by: DFG - Cluster of Excellence
Type of project: Subproject in DFG-joint project hosted at University of Münster
EXC 2044 - T10: Deep learning and surrogate methods
Duration: 01/01/2026 - 31/12/2032 | 1st Funding period
Funded by: DFG - Cluster of Excellence
Type of project: Subproject in DFG-joint project hosted at University of Münster
GRK 3027: Rigorous Analysis of Complex Random Systems (CoRaSy)
Duration: 01/10/2025 - 30/09/2030 | 1st Funding period
Funded by: DFG - Research Training Group
Type of project: Main DFG-project hosted at University of Münster
EXC 2044 - C2: Multi-scale phenomena and macroscopic structures
Duration: 01/01/2019 - 31/12/2025 | 1st Funding period
Funded by: DFG - Cluster of Excellence
Type of project: Subproject in DFG-joint project hosted at University of Münster
EXC 2044 - C3: Interacting particle systems and phase transitions
Duration: 01/01/2019 - 31/12/2025 | 1st Funding period
Funded by: DFG - Cluster of Excellence
Type of project: Subproject in DFG-joint project hosted at University of Münster
Show all projects (7)

Parent organisational units