Research Exchanges in the Mathematics of Deep Learning with Applications

Información del proyecto

REMODEL

Identificador del acuerdo de subvención: 101131557

DOI

10.3030/101131557

Fecha de la firma de la CE 16 Octubre 2023

Fecha de inicio 1 Enero 2024

Fecha de finalización 31 Diciembre 2027

Financiado con arreglo a

• Marie Skłodowska-Curie Actions (MSCA)

Coste total

Sin datos

Aportación de la UE

€ 473 800,00

Coordinado por

NORGES TEKNISK-NATURVITENSKAPELIGE UNIVERSITET NTNU
Norway

CORDIS proporciona enlaces a los documentos públicos y las publicaciones de los proyectos de los programas marco HORIZONTE.

Los enlaces a los documentos y las publicaciones de los proyectos del Séptimo Programa Marco, así como los enlaces a algunos tipos de resultados específicos, como conjuntos de datos y «software», se obtienen dinámicamente de OpenAIRE .

Resultado final

Documents, reports (1)

Report on deep leaning models and deep physical models

Report on completed study on discovering dynamics with incomplete data and invariance.

Data Management Plan (1)

Data management plan

Data management plan submitted at mid-term and updated towards the end of the project if needed.

Publicaciones

Peer reviewed articles (41)

Neural networks for the approximation of Euler’s elastica

Autores: Elena Celledoni, Ergys Çokaj, Andrea Leone, Sigrid Leyendecker, Davide Murari, Brynjulf Owren, Rodrigo T. Sato Martín de Almagro, Martina Stavole
Publicado en: Computer Methods in Applied Mechanics and Engineering, Edición 435, 2025, ISSN 0045-7825
Editor: Elsevier BV
DOI: 10.1016/J.CMA.2024.117584

The Troublesome Kernel: On Hallucinations, No Free Lunches, and the Accuracy-Stability Tradeoff in Inverse Problems

Autores: Nina M. Gottschling, Vegard Antun, Anders C. Hansen, Ben Adcock
Publicado en: SIAM Review, Edición 67, 2025, ISSN 0036-1445
Editor: Society for Industrial & Applied Mathematics (SIAM)
DOI: 10.1137/23M1568739

Proximal Langevin Sampling with Inexact Proximal Mapping

Autores: Matthias J. Ehrhardt, Lorenz Kuger, Carola-Bibiane Schönlieb
Publicado en: SIAM Journal on Imaging Sciences, Edición 17, 2024, ISSN 1936-4954
Editor: Society for Industrial & Applied Mathematics (SIAM)
DOI: 10.1137/23M1593565

PDE-CNNs: Axiomatic Derivations and Applications

Autores: Gijs Bellaard, Sei Sakata, Bart M. N. Smets, Remco Duits
Publicado en: Journal of Mathematical Imaging and Vision, Edición 67, 2025, ISSN 0924-9907
Editor: Springer Science and Business Media LLC
DOI: 10.1007/S10851-025-01230-4

Closing the ODE–SDE gap in score-based diffusion models through the Fokker–Planck equation

Autores: Teo Deveney, Jan Stanczuk, Lisa Kreusser, Chris Budd, Carola-Bibiane Schönlieb
Publicado en: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Edición 383, 2025, ISSN 1364-503X
Editor: The Royal Society
DOI: 10.1098/RSTA.2024.0503

Advancing the Frontiers of Deep Learning for Low-Dose 3D Cone-Beam CT Reconstruction

Autores: Ander Biguri, Subhadip Mukherjee, Xuzhi Zhao, Xi Liu, Xinyi Wang, Rui Yang, Yi Du, Yahui Peng, Mikael Brudfors, Mark Graham, Hyungon Ryu, Oliver Kutter, Andreas Hauptmann, Mustafa Al-Rubaye, Miika T. Nieminen, Mikael A. K. Brix, Austin Yunker, Rajkumar Kettimuthu, John C. Roeske, Sasidhar Alavala, Subrahmanyam Gorthi, Carola-Bibiane Schönlieb
Publicado en: IEEE Open Journal of Signal Processing, Edición 6, 2025, ISSN 2644-1322
Editor: Institute of Electrical and Electronics Engineers (IEEE)
DOI: 10.1109/OJSP.2025.3593189

Scientific machine learning

Autores: Felix Dietrich, Wil Schilders
Publicado en: Mathematische Semesterberichte, Edición 72, 2025, ISSN 0720-728X
Editor: Springer Science and Business Media LLC
DOI: 10.1007/S00591-025-00399-4

An Adaptively Inexact Method for Bilevel Learning Using Primal–Dual-Style Differentiation

Autores: Lea Bogensperger, Matthias J. Ehrhardt, Thomas Pock, Mohammad Sadegh Salehi, Hok Shing Wong
Publicado en: Journal of Mathematical Imaging and Vision, Edición 67, 2025, ISSN 0924-9907
Editor: Springer Science and Business Media LLC
DOI: 10.1007/S10851-025-01262-W

Learning dynamical systems from noisy data with inverse-explicit integrators

Autores: Elena Celledoni, Sølve Eidnes, Håkon Noren Myhr
Publicado en: Physica D: Nonlinear Phenomena, Edición 472, 2025, ISSN 0167-2789
Editor: Elsevier BV
DOI: 10.1016/J.PHYSD.2024.134471

Near-optimal learning of Banach-valued, high-dimensional functions via deep neural networks

Autores: Ben Adcock, Simone Brugiapaglia, Nick Dexter, Sebastian Moraga
Publicado en: Neural Networks, Edición 181, 2025, ISSN 0893-6080
Editor: Elsevier BV
DOI: 10.1016/J.NEUNET.2024.106761

Physics-informed two-tier neural network for non-linear model order reduction

Autores: Yankun Hong, Harshit Bansal, Karen Veroy
Publicado en: Advanced Modeling and Simulation in Engineering Sciences, Edición 11, 2024, ISSN 2213-7467
Editor: Springer Science and Business Media LLC
DOI: 10.1186/S40323-024-00273-3

Inverse Evolution Layers: Physics-Informed Regularizers for Image Segmentation

Autores: Chaoyu Liu, Zhonghua Qiao, Chao Li, Carola-Bibiane Schönlieb
Publicado en: SIAM Journal on Mathematics of Data Science, Edición 7, 2025, ISSN 2577-0187
Editor: Society for Industrial & Applied Mathematics (SIAM)
DOI: 10.1137/24M1633662

Deep Block Proximal Linearized Minimization Algorithm for Nonconvex Inverse Problems

Autores: Chaoyan Huang, Zhongming Wu, Yanqi Cheng, Tieyong Zeng, Carola-Bibiane Schönlieb, Angelica I. Aviles-Rivero
Publicado en: SIAM Journal on Mathematics of Data Science, Edición 7, 2025, ISSN 2577-0187
Editor: Society for Industrial & Applied Mathematics (SIAM)
DOI: 10.1137/24M1682464

Constraint-Satisfying Krylov Solvers for Structure-Preserving Discretizations

Autores: James Jackaman, Scott MacLachlan
Publicado en: SIAM Journal on Matrix Analysis and Applications, Edición 45, 2024, ISSN 0895-4798
Editor: Society for Industrial & Applied Mathematics (SIAM)
DOI: 10.1137/22M1540624

A <i>posteriori</i> error estimation of numerical solutions of PINNs for the Navier–Stokes equations under the Dirichlet boundary condition with external force

Autores: Baige Xu, Takaharu Yaguchi
Publicado en: International Journal of Mathematics for Industry, 2025, ISSN 2661-3352
Editor: World Scientific Pub Co Pte Ltd
DOI: 10.1142/S2661335225500108

Geodesic Tracking via New Data-Driven Connections of Cartan Type for Vascular Tree Tracking

Autores: Nicky J. van den Berg, Bart M. N. Smets, Gautam Pai, Jean-Marie Mirebeau, Remco Duits
Publicado en: Journal of Mathematical Imaging and Vision, Edición 66, 2024, ISSN 0924-9907
Editor: Springer Science and Business Media LLC
DOI: 10.1007/S10851-023-01170-X

Optimal Transport on the Lie Group of Roto-translations

Autores: Daan Bon, Gautam Pai, Gijs Bellaard, Olga Mula, Remco Duits
Publicado en: SIAM Journal on Imaging Sciences, Edición 18, 2025, ISSN 1936-4954
Editor: Society for Industrial & Applied Mathematics (SIAM)
DOI: 10.1137/24M1641531

Learning Task-Specific Sampling Strategy for Sparse-View CT Reconstruction

Autores: Liutao Yang, Jiahao Huang, Yingying Fang, Angelica I Aviles-Rivero, Carola-Bibiane Schönlieb, Daoqiang Zhang, Guang Yang
Publicado en: IEEE Transactions on Instrumentation and Measurement, Edición 74, 2025, ISSN 0018-9456
Editor: Institute of Electrical and Electronics Engineers (IEEE)
DOI: 10.1109/TIM.2025.3554318

Motion Constrained Point Cloud Matching for Maritime Tracking

Autores: Nicholas Dalhaug, Martin Baerveldt, Angelica I. Aviles-Rivero, Carola-Bibiane Schönlieb, Annette Stahl, Rudolf Mester, Edmund Førland Brekke
Publicado en: IEEE Access, Edición 13, 2025, ISSN 2169-3536
Editor: Institute of Electrical and Electronics Engineers (IEEE)
DOI: 10.1109/ACCESS.2025.3582327

Enhancing Dynamic CT Image Reconstruction with Neural Fields and Optical Flow

Autores: Pablo Arratia, Matthias J. Ehrhardt, Lisa Kreusser
Publicado en: Journal of Mathematical Imaging and Vision, Edición 67, 2025, ISSN 0924-9907
Editor: Springer Science and Business Media LLC
DOI: 10.1007/S10851-025-01259-5

Systematic Construction of Continuous-Time Neural Networks for Linear Dynamical Systems

Autores: Chinmay Datar, Adwait Datar, Felix Dietrich, Wil Schilders
Publicado en: SIAM Journal on Scientific Computing, Edición 47, 2025, ISSN 1064-8275
Editor: Society for Industrial & Applied Mathematics (SIAM)
DOI: 10.1137/24M1648946

A Neural Network Approach for Stochastic Optimal Control

Autores: Xingjian Li, Deepanshu Verma, Lars Ruthotto
Publicado en: SIAM Journal on Scientific Computing, Edición 46, 2024, ISSN 1064-8275
Editor: Society for Industrial & Applied Mathematics (SIAM)
DOI: 10.1137/23M155832X

An Adaptive Hierarchical Ensemble Kalman Filter with Reduced Basis Models

Autores: Francesco A. B. Silva, Cecilia Pagliantini, Karen Veroy
Publicado en: SIAM/ASA Journal on Uncertainty Quantification, Edición 13, 2025, ISSN 2166-2525
Editor: Society for Industrial & Applied Mathematics (SIAM)
DOI: 10.1137/24M1653690

Designing stable neural networks using convex analysis and ODEs

Autores: Ferdia Sherry, Elena Celledoni, Matthias J. Ehrhardt, Davide Murari, Brynjulf Owren, Carola-Bibiane Schönlieb
Publicado en: Physica D: Nonlinear Phenomena, Edición 463, 2025, ISSN 0167-2789
Editor: Elsevier BV
DOI: 10.1016/J.PHYSD.2024.134159

B-stability of numerical integrators on Riemannian manifolds

Autores: Martin Arnold, null null, Elena Celledoni, Ergys Çokaj, Brynjulf Owren, Denise Tumiotto, null null
Publicado en: Journal of Computational Dynamics, Edición 11, 2024, ISSN 2158-2491
Editor: American Institute of Mathematical Sciences (AIMS)
DOI: 10.3934/JCD.2024002

Artificial Intelligence-Led Whole Coronary Artery OCT Analysis; Validation and Identification of Drug Efficacy and Higher-Risk Plaques

Autores: Benn Jessney, Xu Chen, Sophie Gu, Yuan Huang, Martin Goddard, Adam Brown, Daniel Obaid, Michael Mahmoudi, Hector M. Garcia Garcia, Stephen P. Hoole, Lorenz Räber, Francesco Prati, Carola-Bibiane Schönlieb, Michael Roberts, Martin Bennett
Publicado en: Circulation: Cardiovascular Imaging, Edición 18, 2025, ISSN 1941-9651
Editor: Ovid Technologies (Wolters Kluwer Health)
DOI: 10.1161/CIRCIMAGING.125.018133

ACID: A comprehensive toolbox for image processing and modeling of brain, spinal cord, and ex vivo diffusion MRI data

Autores: Gergely David, Björn Fricke, Jan Malte Oeschger, Lars Ruthotto, Francisco J. Fritz, Ora Ohana, Laurin Mordhorst, Thomas Sauvigny, Patrick Freund, Karsten Tabelow, Siawoosh Mohammadi
Publicado en: Imaging Neuroscience, Edición 2, 2025, ISSN 2837-6056
Editor: MIT Press
DOI: 10.1162/IMAG_A_00288

Hyperbolic partial differential equations generalize LSSL with the HiPPO matrix

Autores: Atsushi Takabatake, Takaharu Yaguchi
Publicado en: Japan Journal of Industrial and Applied Mathematics, Edición 42, 2025, ISSN 0916-7005
Editor: Springer Science and Business Media LLC
DOI: 10.1007/S13160-025-00731-4

Reduced‐Order Modeling for Second‐Order Computational Homogenization With Applications to Geometrically Parameterized Elastomeric Metamaterials

Autores: T. Guo, V. G. Kouznetsova, M. G. D. Geers, K. Veroy, O. Rokoš
Publicado en: International Journal for Numerical Methods in Engineering, Edición 126, 2025, ISSN 0029-5981
Editor: Wiley
DOI: 10.1002/NME.7604

Restarts Subject to Approximate Sharpness: A Parameter-Free and Optimal Scheme For First-Order Methods

Autores: Ben Adcock, Matthew J. Colbrook, Maksym Neyra-Nesterenko
Publicado en: Foundations of Computational Mathematics, 2025, ISSN 1615-3375
Editor: Springer Science and Business Media LLC
DOI: 10.1007/S10208-024-09673-8

Predictions based on pixel data: Insights from PDEs and finite differences

Autores: Elena Celledoni, James Jackaman, Davide Murari, Brynjulf Owren
Publicado en: Journal of Computational Physics, Edición 538, 2025, ISSN 0021-9991
Editor: Elsevier BV
DOI: 10.1016/J.JCP.2025.114166

Polytope Division Method: A Scalable Sampling Method for Problems with High-Dimensional Parameters

Autores: Evie Nielen, Oliver Tse, Karen Veroy
Publicado en: SIAM Journal on Scientific Computing, Edición 47, 2025, ISSN 1064-8275
Editor: Society for Industrial & Applied Mathematics (SIAM)
DOI: 10.1137/24M1704506

Derivative-free discrete gradient methods

Autores: Håkon Noren Myhr, Sølve Eidnes
Publicado en: Journal of Computational Dynamics, Edición 11, 2024, ISSN 2158-2491
Editor: American Institute of Mathematical Sciences (AIMS)
DOI: 10.3934/JCD.2024004

Practical Acceleration of the Condat–Vũ Algorithm

Autores: Derek Driggs, Matthias J. Ehrhardt, Carola-Bibiane Schönlieb, Junqi Tang
Publicado en: SIAM Journal on Imaging Sciences, Edición 17, 2024, ISSN 1936-4954
Editor: Society for Industrial & Applied Mathematics (SIAM)
DOI: 10.1137/23M159473X

Learning Hamiltonians of constrained mechanical systems

Autores: Elena Celledoni, Andrea Leone, Davide Murari, Brynjulf Owren
Publicado en: Journal of Computational and Applied Mathematics, Edición 417, 2025, ISSN 0377-0427
Editor: Elsevier BV
DOI: 10.1016/J.CAM.2022.114608

Practical Operator Sketching Framework for Accelerating Iterative Data-Driven Solutions in Linear Inverse Problems

Autores: Junqi Tang, Guixian Xu, Subhadip Mukherjee, Carola-Bibiane Schönlieb
Publicado en: Journal of Mathematical Imaging and Vision, Edición 67, 2025, ISSN 0924-9907
Editor: Springer Science and Business Media LLC
DOI: 10.1007/S10851-025-01263-9

Dynamical Systems–Based Neural Networks

Autores: Elena Celledoni, Davide Murari, Brynjulf Owren, Carola-Bibiane Schönlieb, Ferdia Sherry
Publicado en: SIAM Journal on Scientific Computing, Edición 45, 2023, ISSN 1064-8275
Editor: Society for Industrial & Applied Mathematics (SIAM)
DOI: 10.1137/22M1527337

Stochastic optimization of large-scale parametrized dynamical systems

Autores: Pascal den Boef, Jos Maubach, Wil Schilders, Nathan van de Wouw
Publicado en: Automatica, Edición 179, 2025, ISSN 0005-1098
Editor: Elsevier BV
DOI: 10.1016/J.AUTOMATICA.2025.112388

Loss function inversion for improved crack segmentation in steel bridges using a CNN framework

Autores: Andrii Kompanets, Remco Duits, Gautam Pai, Davide Leonetti, H.H. (Bert) Snijder
Publicado en: Automation in Construction, Edición 170, 2025, ISSN 0926-5805
Editor: Elsevier BV
DOI: 10.1016/J.AUTCON.2024.105896

Inverse evolution data augmentation for neural PDE solvers

Autores: Chaoyu Liu, Chris Budd, Carola-Bibiane Schönlieb
Publicado en: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Edición 383, 2025, ISSN 1364-503X
Editor: The Royal Society
DOI: 10.1098/RSTA.2024.0242

Index‐aware learning of circuits

Autores: Idoia Cortes Garcia, Peter Förster, Lennart Jansen, Wil Schilders, Sebastian Schöps
Publicado en: International Journal of Circuit Theory and Applications, Edición 52, 2024, ISSN 0098-9886
Editor: Wiley
DOI: 10.1002/CTA.4024

Book chapters (2)

Universal Collection of Euclidean Invariants Between Pairs of Position-Orientations

Autores: Gijs Bellaard, Bart M. N. Smets, Remco Duits
Publicado en: Lecture Notes in Computer Science, Geometric Science of Information, 2025
Editor: Springer Nature Switzerland
DOI: 10.1007/978-3-032-03918-7_3

Implicit U-KAN2.0: Dynamic, Efficient and Interpretable Medical Image Segmentation

Autores: Chun-Wun Cheng, Yining Zhao, Yanqi Cheng, Javier A. Montoya-Zegarra, Carola-Bibiane Schönlieb, Angelica I. Aviles-Rivero
Publicado en: Lecture Notes in Computer Science, Medical Image Computing and Computer Assisted Intervention – MICCAI 2025, 2025
Editor: Springer Nature Switzerland
DOI: 10.1007/978-3-032-05141-7_30