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Department of Applied Mathematics and Theoretical Physics

Davide Murari

Publications

Hamiltonian Matching for Symplectic Neural Integrators
P Canizares, D Murari, C-B Schönlieb, F Sherry, Z Shumaylov
(2024)
(link to publication)
Parallel-in-Time Solutions with Random Projection Neural Networks
MM Betcke, LM Kreusser, D Murari
(2024)
(link to publication)
Designing stable neural networks using convex analysis and ODEs
F Sherry, E Celledoni, MJ Ehrhardt, D Murari, B Owren, CB Schönlieb
– Physica D Nonlinear Phenomena
(2024)
463,
134159
(doi: 10.1016/j.physd.2024.134159)
Dynamical Systems–Based Neural Networks
E Celledoni, D Murari, B Owren, CB Schonlieb, F Sherry
– SIAM Journal on Scientific Computing
(2023)
45,
a3071
(doi: 10.1137/22M1527337)
Neural networks for the approximation of Euler's elastica
E Celledoni, E Çokaj, A Leone, S Leyendecker, D Murari, B Owren, RTSMD Almagro, M Stavole
(2023)
(link to publication)
Resilient Graph Neural Networks: A Coupled Dynamical Systems Approach
M Eliasof, D Murari, F Sherry, C-B Schönlieb
(2023)
(link to publication)
Designing Stable Neural Networks using Convex Analysis and ODEs
F Sherry, E Celledoni, MJ Ehrhardt, D Murari, B Owren, C-B Schönlieb
(2023)
(link to publication)
Predictions Based on Pixel Data: Insights from PDEs and Finite Differences
E Celledoni, J Jackaman, D Murari, B Owren
(2023)
(link to publication)
Learning Hamiltonians of constrained mechanical systems
E Celledoni, A Leone, D Murari, B Owren
– Journal of Computational and Applied Mathematics
(2023)
417,
114608
(doi: 10.1016/j.cam.2022.114608)
Dynamical systems' based neural networks
E Celledoni, D Murari, B Owren, C-B Schönlieb, F Sherry
(2022)
(link to publication)
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