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
- 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.
Invited Talks
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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
- 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
Visiting & Other Activities
- Poster session at "Compmat Spring Workshop", University of Pavia, Pavia, Italy - May 08, 2024 (link to poster session page) (link to poster)
- 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
- Visiting period at the Applied Mathematics Department, Brown University, Providence (RI) - June 2023
- Attendee at Mathematical and Scientific Machine Learning, ICERM, Providence (RI) - June 5-9, 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