Research Exchanges in the Mathematics of Deep Learning with Applications

Informacje na temat projektu

REMODEL

Identyfikator umowy o grant: 101131557

DOI

10.3030/101131557

Data podpisania przez KE 16 Października 2023

Data rozpoczęcia 1 Stycznia 2024

Data zakończenia 31 Grudnia 2027

Finansowanie w ramach

• Marie Skłodowska-Curie Actions (MSCA)

Koszt całkowity

Brak danych

Wkład UE

€ 473 800,00

Koordynowany przez

NORGES TEKNISK-NATURVITENSKAPELIGE UNIVERSITET NTNU
Norway

CORDIS oferuje możliwość skorzystania z odnośników do publicznie dostępnych publikacji i rezultatów projektów realizowanych w ramach programów ramowych HORYZONT.

Odnośniki do rezultatów i publikacji związanych z poszczególnymi projektami 7PR, a także odnośniki do niektórych konkretnych kategorii wyników, takich jak zbiory danych i oprogramowanie, są dynamicznie pobierane z systemu OpenAIRE .

Rezultaty

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.

Publikacje

Peer reviewed articles (41)

Neural networks for the approximation of Euler’s elastica

Autorzy: Elena Celledoni, Ergys Çokaj, Andrea Leone, Sigrid Leyendecker, Davide Murari, Brynjulf Owren, Rodrigo T. Sato Martín de Almagro, Martina Stavole
Opublikowane w: Computer Methods in Applied Mechanics and Engineering, Numer 435, 2025, ISSN 0045-7825
Wydawca: 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

Autorzy: Nina M. Gottschling, Vegard Antun, Anders C. Hansen, Ben Adcock
Opublikowane w: SIAM Review, Numer 67, 2025, ISSN 0036-1445
Wydawca: Society for Industrial & Applied Mathematics (SIAM)
DOI: 10.1137/23M1568739

Proximal Langevin Sampling with Inexact Proximal Mapping

Autorzy: Matthias J. Ehrhardt, Lorenz Kuger, Carola-Bibiane Schönlieb
Opublikowane w: SIAM Journal on Imaging Sciences, Numer 17, 2024, ISSN 1936-4954
Wydawca: Society for Industrial & Applied Mathematics (SIAM)
DOI: 10.1137/23M1593565

PDE-CNNs: Axiomatic Derivations and Applications

Autorzy: Gijs Bellaard, Sei Sakata, Bart M. N. Smets, Remco Duits
Opublikowane w: Journal of Mathematical Imaging and Vision, Numer 67, 2025, ISSN 0924-9907
Wydawca: 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

Autorzy: Teo Deveney, Jan Stanczuk, Lisa Kreusser, Chris Budd, Carola-Bibiane Schönlieb
Opublikowane w: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Numer 383, 2025, ISSN 1364-503X
Wydawca: The Royal Society
DOI: 10.1098/RSTA.2024.0503

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

Autorzy: 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
Opublikowane w: IEEE Open Journal of Signal Processing, Numer 6, 2025, ISSN 2644-1322
Wydawca: Institute of Electrical and Electronics Engineers (IEEE)
DOI: 10.1109/OJSP.2025.3593189

Scientific machine learning

Autorzy: Felix Dietrich, Wil Schilders
Opublikowane w: Mathematische Semesterberichte, Numer 72, 2025, ISSN 0720-728X
Wydawca: 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

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

Learning dynamical systems from noisy data with inverse-explicit integrators

Autorzy: Elena Celledoni, Sølve Eidnes, Håkon Noren Myhr
Opublikowane w: Physica D: Nonlinear Phenomena, Numer 472, 2025, ISSN 0167-2789
Wydawca: Elsevier BV
DOI: 10.1016/J.PHYSD.2024.134471

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

Autorzy: Ben Adcock, Simone Brugiapaglia, Nick Dexter, Sebastian Moraga
Opublikowane w: Neural Networks, Numer 181, 2025, ISSN 0893-6080
Wydawca: Elsevier BV
DOI: 10.1016/J.NEUNET.2024.106761

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

Autorzy: Yankun Hong, Harshit Bansal, Karen Veroy
Opublikowane w: Advanced Modeling and Simulation in Engineering Sciences, Numer 11, 2024, ISSN 2213-7467
Wydawca: Springer Science and Business Media LLC
DOI: 10.1186/S40323-024-00273-3

Inverse Evolution Layers: Physics-Informed Regularizers for Image Segmentation

Autorzy: Chaoyu Liu, Zhonghua Qiao, Chao Li, Carola-Bibiane Schönlieb
Opublikowane w: SIAM Journal on Mathematics of Data Science, Numer 7, 2025, ISSN 2577-0187
Wydawca: Society for Industrial & Applied Mathematics (SIAM)
DOI: 10.1137/24M1633662

Deep Block Proximal Linearized Minimization Algorithm for Nonconvex Inverse Problems

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

Constraint-Satisfying Krylov Solvers for Structure-Preserving Discretizations

Autorzy: James Jackaman, Scott MacLachlan
Opublikowane w: SIAM Journal on Matrix Analysis and Applications, Numer 45, 2024, ISSN 0895-4798
Wydawca: 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

Autorzy: Baige Xu, Takaharu Yaguchi
Opublikowane w: International Journal of Mathematics for Industry, 2025, ISSN 2661-3352
Wydawca: World Scientific Pub Co Pte Ltd
DOI: 10.1142/S2661335225500108

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

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

Optimal Transport on the Lie Group of Roto-translations

Autorzy: Daan Bon, Gautam Pai, Gijs Bellaard, Olga Mula, Remco Duits
Opublikowane w: SIAM Journal on Imaging Sciences, Numer 18, 2025, ISSN 1936-4954
Wydawca: Society for Industrial & Applied Mathematics (SIAM)
DOI: 10.1137/24M1641531

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

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

Motion Constrained Point Cloud Matching for Maritime Tracking

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

Enhancing Dynamic CT Image Reconstruction with Neural Fields and Optical Flow

Autorzy: Pablo Arratia, Matthias J. Ehrhardt, Lisa Kreusser
Opublikowane w: Journal of Mathematical Imaging and Vision, Numer 67, 2025, ISSN 0924-9907
Wydawca: Springer Science and Business Media LLC
DOI: 10.1007/S10851-025-01259-5

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

Autorzy: Chinmay Datar, Adwait Datar, Felix Dietrich, Wil Schilders
Opublikowane w: SIAM Journal on Scientific Computing, Numer 47, 2025, ISSN 1064-8275
Wydawca: Society for Industrial & Applied Mathematics (SIAM)
DOI: 10.1137/24M1648946

A Neural Network Approach for Stochastic Optimal Control

Autorzy: Xingjian Li, Deepanshu Verma, Lars Ruthotto
Opublikowane w: SIAM Journal on Scientific Computing, Numer 46, 2024, ISSN 1064-8275
Wydawca: Society for Industrial & Applied Mathematics (SIAM)
DOI: 10.1137/23M155832X

An Adaptive Hierarchical Ensemble Kalman Filter with Reduced Basis Models

Autorzy: Francesco A. B. Silva, Cecilia Pagliantini, Karen Veroy
Opublikowane w: SIAM/ASA Journal on Uncertainty Quantification, Numer 13, 2025, ISSN 2166-2525
Wydawca: Society for Industrial & Applied Mathematics (SIAM)
DOI: 10.1137/24M1653690

Designing stable neural networks using convex analysis and ODEs

Autorzy: Ferdia Sherry, Elena Celledoni, Matthias J. Ehrhardt, Davide Murari, Brynjulf Owren, Carola-Bibiane Schönlieb
Opublikowane w: Physica D: Nonlinear Phenomena, Numer 463, 2025, ISSN 0167-2789
Wydawca: Elsevier BV
DOI: 10.1016/J.PHYSD.2024.134159

B-stability of numerical integrators on Riemannian manifolds

Autorzy: Martin Arnold, null null, Elena Celledoni, Ergys Çokaj, Brynjulf Owren, Denise Tumiotto, null null
Opublikowane w: Journal of Computational Dynamics, Numer 11, 2024, ISSN 2158-2491
Wydawca: 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

Autorzy: 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
Opublikowane w: Circulation: Cardiovascular Imaging, Numer 18, 2025, ISSN 1941-9651
Wydawca: 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

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

Hyperbolic partial differential equations generalize LSSL with the HiPPO matrix

Autorzy: Atsushi Takabatake, Takaharu Yaguchi
Opublikowane w: Japan Journal of Industrial and Applied Mathematics, Numer 42, 2025, ISSN 0916-7005
Wydawca: 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

Autorzy: T. Guo, V. G. Kouznetsova, M. G. D. Geers, K. Veroy, O. Rokoš
Opublikowane w: International Journal for Numerical Methods in Engineering, Numer 126, 2025, ISSN 0029-5981
Wydawca: Wiley
DOI: 10.1002/NME.7604

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

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

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

Autorzy: Elena Celledoni, James Jackaman, Davide Murari, Brynjulf Owren
Opublikowane w: Journal of Computational Physics, Numer 538, 2025, ISSN 0021-9991
Wydawca: Elsevier BV
DOI: 10.1016/J.JCP.2025.114166

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

Autorzy: Evie Nielen, Oliver Tse, Karen Veroy
Opublikowane w: SIAM Journal on Scientific Computing, Numer 47, 2025, ISSN 1064-8275
Wydawca: Society for Industrial & Applied Mathematics (SIAM)
DOI: 10.1137/24M1704506

Derivative-free discrete gradient methods

Autorzy: Håkon Noren Myhr, Sølve Eidnes
Opublikowane w: Journal of Computational Dynamics, Numer 11, 2024, ISSN 2158-2491
Wydawca: American Institute of Mathematical Sciences (AIMS)
DOI: 10.3934/JCD.2024004

Practical Acceleration of the Condat–Vũ Algorithm

Autorzy: Derek Driggs, Matthias J. Ehrhardt, Carola-Bibiane Schönlieb, Junqi Tang
Opublikowane w: SIAM Journal on Imaging Sciences, Numer 17, 2024, ISSN 1936-4954
Wydawca: Society for Industrial & Applied Mathematics (SIAM)
DOI: 10.1137/23M159473X

Learning Hamiltonians of constrained mechanical systems

Autorzy: Elena Celledoni, Andrea Leone, Davide Murari, Brynjulf Owren
Opublikowane w: Journal of Computational and Applied Mathematics, Numer 417, 2025, ISSN 0377-0427
Wydawca: Elsevier BV
DOI: 10.1016/J.CAM.2022.114608

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

Autorzy: Junqi Tang, Guixian Xu, Subhadip Mukherjee, Carola-Bibiane Schönlieb
Opublikowane w: Journal of Mathematical Imaging and Vision, Numer 67, 2025, ISSN 0924-9907
Wydawca: Springer Science and Business Media LLC
DOI: 10.1007/S10851-025-01263-9

Dynamical Systems–Based Neural Networks

Autorzy: Elena Celledoni, Davide Murari, Brynjulf Owren, Carola-Bibiane Schönlieb, Ferdia Sherry
Opublikowane w: SIAM Journal on Scientific Computing, Numer 45, 2023, ISSN 1064-8275
Wydawca: Society for Industrial & Applied Mathematics (SIAM)
DOI: 10.1137/22M1527337

Stochastic optimization of large-scale parametrized dynamical systems

Autorzy: Pascal den Boef, Jos Maubach, Wil Schilders, Nathan van de Wouw
Opublikowane w: Automatica, Numer 179, 2025, ISSN 0005-1098
Wydawca: Elsevier BV
DOI: 10.1016/J.AUTOMATICA.2025.112388

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

Autorzy: Andrii Kompanets, Remco Duits, Gautam Pai, Davide Leonetti, H.H. (Bert) Snijder
Opublikowane w: Automation in Construction, Numer 170, 2025, ISSN 0926-5805
Wydawca: Elsevier BV
DOI: 10.1016/J.AUTCON.2024.105896

Inverse evolution data augmentation for neural PDE solvers

Autorzy: Chaoyu Liu, Chris Budd, Carola-Bibiane Schönlieb
Opublikowane w: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Numer 383, 2025, ISSN 1364-503X
Wydawca: The Royal Society
DOI: 10.1098/RSTA.2024.0242

Index‐aware learning of circuits

Autorzy: Idoia Cortes Garcia, Peter Förster, Lennart Jansen, Wil Schilders, Sebastian Schöps
Opublikowane w: International Journal of Circuit Theory and Applications, Numer 52, 2024, ISSN 0098-9886
Wydawca: Wiley
DOI: 10.1002/CTA.4024

Book chapters (2)

Universal Collection of Euclidean Invariants Between Pairs of Position-Orientations

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

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

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