University of Münster
CRIS@UM
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Professorship for applied mathematics (Prof. Jentzen)

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

Publications

Ontologies for Models and Algorithms in Applied Mathematics and Related Disciplines
Schembera, Björn; Wübbeling, Frank; Kleikamp, Hendrik; Biedinger, Christine; Fiedler, Jochen; Reidelbach, Marco; Shehu, Aurela; Schmidt, Burkhard; Koprucki, Thomas; Iglezakis, Dorothea; Göddeke, Dominik (2024)
In: Garoufallou, Emmanouel; Sartori, Fabio (eds.), Metadata and Semantic Research - 17th Research Conference, MTSR 2023, Milan, Italy, October 25–27, 2023, Revised Selected Papers, 161-168. Cham: Springer. doi:10.1007/978-3-031-65990-4_14
Research article in edited proceedings (conference) | Peer reviewed | Published
An overview on deep learning-based approximation methods for partial differential equations
Beck C, Hutzenthaler M, Jentzen A, Kuckuck B (2023)
In: Discrete and Continuous Dynamical Systems - Series B, 28(6), 3697-3746. doi:10.3934/dcdsb.2022238
Research article (journal) | Peer reviewed | Published
Lower bounds for artificial neural network approximations: A proof that shallow neural networks fail to overcome the curse of dimensionality
Grohs P, Ibragimov S, Jentzen A, Koppensteiner S (2023)
In: Journal of Complexity, 0, 101746. doi:10.1016/j.jco.2023.101746
Research article (journal) | Peer reviewed | accepted / in press (not yet published)
Deep learning approximations for non-local nonlinear PDEs with Neumann boundary conditions
Boussange, V.; Becker, S.; Jentzen, A.; Kuckuck, B.; Pellissier, L. (2023)
In: SN Partial Differential Equations and Applications, 4, 51. doi:10.1007/s42985-023-00244-0
Research article (journal) | Peer reviewed | Published
The necessity of depth for artificial neural networks to approximate certain classes of smooth bounded functions without the curse of dimensionality
Gonon, L.; Graeber, R.; Jentzen, A. (2023)
In: arXiv.org:2212.13111.
Research article in digital collection | Preprint | submitted / under review
Show all publications (58)

Projects

EXC 2044 - T07: Field theory and randomness
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 - T09: Multiscale processes and effective behaviour
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
Overcoming the curse of dimensionality through nonlinear stochastic algorithms: Nonlinear Monte Carlo type methods for high-dimensional approximation problems (MONTECARLO)
Duration: 01/07/2023 - 31/08/2025
Funded by: EC Horizon Europe - ERC Consolidator Grant
Type of project: EU-project hosted at University of Münster
Show all projects (9)

Preisverleihungen

ERC Consolidator Grant
Awarded by: European Research Council (ERC)
Award given to: Jentzen, Arnulf
Announced at: 16/12/2022 | Date of awarding: 16/12/2022
Type of distinction: Research award or other distinction

Parent organisational units