Research interests
Machine Learning for solving ODEs and PDEs
I exploit Neural Networks for approximating the solution of systems of ODEs and PDEs. I recently started studying DeepONets for various models, especially ionic models involved in the description of the cardiac cell physiology.
Computational Cardiology
In this research area, I study preconditioners for large sparse linear systems derived from numerical discretization of PDEs involved in the description of the cardiac electrophysiology. Furthermore, I am part of the MICROCARD European research project funded by EuroHPC (link).
Quantum Information
During my master thesis, I have explored quantum computing research areas, in particular the quantum version of the Cellular Automata. I have studied and implemented a model of interacting massless QCA, with its free dynamics recovering the Dirac Equation in the continuous limit. I occasionally collaborate also with my old colleagues and friends at the physics department of the University of Pavia.
Publications
- L. Pellegrini, M. Ghiotto, E. Centofanti, L.F. Pavarino, Learning High-dimensional Ionic Model Dynamics Using Fourier Neural Operators, ArXiv preprint arXiv:2505.14039 (2025).
- E. Centofanti, G. Ziarelli, N. Parolini, S. Scacchi, M. Verani, L.F. Pavarino, Learning cardiac activation and repolarization times with operator learning, ArXiv preprint arXiv:2505.08631 (2025).
- E. Centofanti, N.M.M. Huynh, L.F. Pavarino, S. Scacchi, Parallel Algebraic Multigrid Solvers for Composite Discontinuous Galerkin Discretization of the Cardiac EMI Model in Heterogeneous Media, Computer Methods in Applied Mechanics and Engineering 442 (2025): 118001.
- E. Centofanti, M. Ghiotto, L.F. Pavarino, Learning the Hodgkin-Huxley Model with Operator Learning Techniques, Computer Methods in Applied Mechanics and Engineering 432, Part A (2024): 117381.
- E. Centofanti, A. Bisio, P. Perinotti, Massless interacting fermionic cellular automaton exhibiting bound states, Physical Review A 109, no. 5 (2024): 052421.
- E. Centofanti, S. Scacchi, A comparison of Algebraic Multigrid Bidomain solvers on hybrid CPU-GPU architectures, Computer Methods in Applied Mechanics and Engineering 423 (2024): 116875.
PhD Thesis
- E. Centofanti, Efficient Solvers and Machine Learning Approaches in Cardiac Electrophysiology on High-Performance Computing Architectures, University of Pavia (2025).
Invited Talks
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AIME 2025: 23rd International Conference on Artificial Intelligence in Medicine, Pavia, Italy - June 26, 2025
Workshop title: AI in electrophysiology: Bridging Innovation and Clinical Practice, organized by F. Faraci, G. Conte, F. Molinari -
DD29: 29th International Conference on Domain Decomposition Methods, Milan, Italy - June 23-27, 2025
Minisymposium title: Domain decomposition based methods for cardiovascular simulation, organized by M. Bucelli, F. Renzi, C. Vergara and A. Quarteroni -
M2P2025: Math2Product, Valencia, Spain - June 4-6, 2025
Minisymposium title: Fast and Scalable Solvers in PDE Approximation of Complex Physics, organized by N.A. Barnafi, N.M.M. Huynh and A.F. Martin -
COUPLED25: Coupled Problems 2025, Villasimius, Italy - May 25-28, 2025
Minisymposium title: Advances in Iterative Solution Methods for Solving Coupled Problems, organized by P. Zulian, P. Benedusi et al. -
Seminari di matematica applicata, University of Milan, Milan, Italy - October 22, 2024
Seminar title: Operator Learning for Ionic Models in Biomathematics -
ECCOMAS24: 9th European Congress on Computational Methods in Applied Sciences and Engineering, Lisbon, Portugal - June 3-7, 2024
Minisymposium title: Simulating Cardiac Function with Cellular and Subcellular Resolution, organized by M. Weiser, R. Krause, S. Scacchi and S. Pezzuto - Lions Magenes days, Pavia, Italy - May 21-22, 2024
- Algorithmy24, Central-European Conference on Scientific Computing, High Tatra Mountains, Slovakia - March 15-20, 2024
- DD28: 28th International Conference on Domain Decomposition Methods, KAUST, Saudi Arabia - January 28-February 01, 2024
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ICIAM2023: 10th International Congress on Industrial and Applied Mathematics, Tokyo, Japan - August 20-25, 2023
Minisymposium title: Computational medicine of the heart: towards cardiac digital twins, organized by L. Dedè, A. Quarteroni - IMPDE2023: Research School on Iterative Methods for Partial Differential Equations, Paris, France - May 15-16, 2023
- LYNUM-V, Lombardy Young NUmerical analysts Meeting (MediolaNUM edition), Milan, Italy - May 12, 2023
- International Multigrid Conference, Lugano, Switzerland - August 22-26, 2022
Contributed Talks
- ISSCC: Intensive Summer School in Computational Cardiology, University of Milan, Milan, Italy - June 11-13, 2025
- III Workshop Matematica per l’Intelligenza Artificiale e il Machine Learning: Giovani ricercatori, University of Bari, Bari, Italy - January 29-31, 2025
- Final MICROCARD workshop, Freiburg im Breisgau, Germany - September 14, 2024
- Scientific Machine Learning, emerging topics, Trieste, Italy - June 18-21, 2024
- INdAM Workshop Mathematical and Numerical Modeling of the Cardiovascular System, Rome, Italy - April 15-19, 2023
- Third Conference of Young Applied Mathematicians, Siena, Italy - September 18-22, 2023
- Workshop Matematica per l’Intelligenza Artificiale e il Machine Learning: Giovani ricercatori, Politecnico di Torino, Torino, Italy - November 24-26, 2022
- Second Conference of Young Applied Mathematicians, Arenzano, Italy - September 18-22, 2022
Schools
- CISM advanced course on Virtual Elements for Problems in Mechanics, Udine, Italy - October 16-20, 2023 (Online attendance)
Other Activities
- Poster session at Mathematics For Machine Learning, University of Ferrara, Ferrara, Italy - March 24-26, 2025
- Poster session at GNCS-SIAM Chapters, University of Pavia, Pavia, Italy - February 10-11, 2025
- Attendee at Numerical Methods and Techniques for Poroelasticity and Geomechanical Modeling, University of Milan, Milan, Italy - February 6, 2025
- Invited talk at INcontro Annuale RIcercatori in MATematica UNIPV (InARiMat), University of Pavia, Pavia, Italy - February 5, 2025
- Poster session at Mathematics for our Health (M4H), Politecnico di Milano, Milano, Italy - November 7-8, 2024
- Poster session at Compmat Spring Workshop, University of Pavia, Pavia, Italy - May 08, 2024
- Attendee at PINN-PAD, Physics Informed Neural Networks in PADova, University of Padua, Padua, Italy - February 22-23, 2024
- Attendee at 3rd MICROCARD workshop, Strasbourg University, Strasbourg, France - July 4-5, 2023
- MICROCARD WP3-5 meeting, ZIB, Berlin, Germany - March 16-17, 2023
- Attendee at 2nd MICROCARD workshop, Liryc institute, Bordeaux, France - July 6-7, 2022
Visiting
- Visiting period at the Applied Mathematics Department,
Brown University, Providence (RI) - June 2023 - Visiting period at the Euler Institute, Università della Svizzera Italiana (USI), Lugano, Switzerland - March 2023 - September 2023
Scientific Event Organization
- MS10 at DD29. Title: Scalable domain decomposition solvers for cellular reaction diffusion models in computational biology. Milan, Italy - June 23-27, 2025
- MS028 at COUPLED25. Title: Efficient and Scalable Methods for Multiscale and Multiphysics Problems I. Villasimius, Italy - May 25-28, 2025
- Spring Workshop CompMat UniPv. Pavia, Italy - May 23, 2025
- LYNUM VII (7th Lombardy Young NUmerical Analysts Workshop). Pavia, Italy - May 7, 2025
- Seminar cycle Caffé Beltrami (link) April 2022 - October 2024
Funding & Grants
- Collaborator for Progetto di ricerca GNCS 2025 CUP E53C24001950001 - 2400,00€ February - December 2025
- PI for CINECA IsCc6 project DDO2CARD with 44800 computational hours hosted on LEONARDO February 26, 2025 - November 26, 2025
- PI for CINECA IsCb6 project DON2CARD with 64000 computational hours hosted on LEONARDO February 21, 2024 - December 21, 2024
- Collaborator for Progetto di ricerca GNCS 2023 CUP E53C22001930001 - 3200,00€ January 2023 - January 2024