On November 19-25, 2025, our FAU MoD, Research Center for Mathematics of Data at FAU and the Digital Twin Lab under the CMAI, Center for Mathematics and Artificial Intelligence at GMU are organizing the “The Mathematics of Scientific Machine Learning and Digital Twins” workshop in Erice, Italy.
The workshop is an opportunity to gather experts in the broad area at the interface of Computational / Applied Mathematics and Machine Learning, with a special focus on its mathematical foundations and the new emerging computational tools in Digital Twins.
The program has been designed with relatively short talks to allow for a compact presentation of the key research directions, but leaving plenty of time for discussions and collaborations.
Attendees
• Albert Alcalde. FAU DCN-AvH, Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany)
Talk: Time-Delayed Transformers for Nonlinear Modeling of Physical Dynamics
• Harbir Antil. GMU, George Mason University (USA)
Talk (Slides): Digital Twins: A PDE–Constrained Optimization Perspective
• Paola Antonietti. Polytechnic University of Milan (Italy)
Talk: Machine Learning Enhanced Polytopal Finite Element Methods
• Francesca Arceci. MOX, Politecnico di Milano (Italy)
Talk (Slides): Digital Twins in Computational Oncology: Probabilistic Formulation of Personalized Risk Assessment
• Umberto Biccari. University of Deusto (Spain)
Talk (Slides): Deep Operator Networks in Control Theory: Concepts and Applications
• Leon Bungert. University of Würzburg (Germany)
Talk (Slides): Graph-based Learning
• Giuseppe Butazzo. Università di Pisa (Italy)
Talk (Slides): Optimal Sampling for Linear Control Systems
• Piermarco Cannarsa. University of Rome (Italy)
Talk (Slides): Singularities in Dynamic Programming: A Paradise of Choices, a Nightmare for Numerics
• Bruno Despres. Sorbonne University (France)
Talk (Slides): Differentiability Properties of Non-smooth Functions Used in Neural Networks
• Daniel Fernández. FAU DCN-AvH, Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany)
Talk: A Principled Perspective on Neural PDE Solvers: From Coercivity to Condensation
• Jan Giesselmann. Technical University of Darmstadt (Germany)
Talk (Slides): Data Assimilation for Gas Flows on Networks
• Omar Ghattas. The University of Texas Austin (USA)
Talk: Real Time High Fidelity Bayesian Inversion, Prediction, and OED for Large Scale LTI Systems, with Application to Tsunami Early Warning
• Diogo Gomes. KAUST (Saudi Arabia)
Talk (Slides): A Banach Space Approach to Mean-Field Games via Monotonicity
• Marcella Gomez. University of California, Santa Cruz (USA)
Talk: Combining Deep Learning Models and Reinforcement Learning to Drive Wound Healing Outcomes
• Amaury Hayat. Ecole des Ponts ParisTech (France)
Talk: How Can Machine Learning Help Mathematicians?
• Michael Hintermueller. WIAS, Berlin (Germany)
Talk (Slides): A Neural Network Approach to Learning Solutions of a Class of Elliptic Variational Inequalities
• Weiwei Hu. Georgia State University (USA)
Talk (Slides): Cellular Flow Control Design for Mixing Based on the Least Action Principle
• Alex Kaltenbach. TU Berlin (Germany)
Talk: Analysis and Numerical Approximation of an Optimal Thermal Insulation Problem: The Heat Conduction Case
• Xenia Kobeleva. Ruhr-University Bochum (Germany)
Talk: Digital Twins of the Brain – A Perfect Case Study for Interdisciplinary Collaboration
• Martin Lazar. University of Dubrovnik (Croatia)
Talk (Slides): Be greedy and Learn: Efficient and Certified Algorithms for Parametrized Optimal Control Problems
• Günter Leugering. FAU (Germany)
Talk (Slides): Space–Time Domain Decomposition for 1-D Wave Equations on Networks with PINN Surrogates
• Ziqian Li. FAU DCN-AvH, Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany)
Talk (Slides): Deep Neural ODE Operator Networks for PDEs
• Kang Liu. Université Bourgogne Europe (France)
Talk: Inverse Problem of Heat Equation and Diffusion Model
• Daniel López Montero. FAU DCN-AvH, Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany)
Talk (Slides): Kernel Methods and Machine Learning
• Nicola De Nitti. University of Pisa (Italy)
Talk: Optimal Transport of Measures via Autonomous Vector Fields
• Dominik Penk. Schaeffler Technologies AG & Co. KG (Germany)
Talk (Slides): ASAP – Automated Simulation Abstraction Pipeline
• Sebastian Reich. University of Potsdam (Germany)
Talk (Slides): McKean–Pontryagin Minimum Principle for Stochastic Optimal Control
• Gianluigi Rozza. SISSA (Italy)
Talk: Enhancing CFD Simulation with Reduced Order Methods and Scientific Machine Learning
• Tatjana Schreiber. Albert-Ludwigs-Universität Freiburg (Germany)
Talk (Slides): Learning Adaptive Step Sizes for the Harmonic Map Heat Flow
• Ziqi Wang. FAU DCN-AvH, Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany)
Talk (Slides): A Potential Game Framework for Incentive Design in Federated Learning
• Yaoyu Zhang. Shanghai Jiao Tong University (China)
Talk (Slides): Condensation Sheds Light on the Mathematical Foundation of Deep Neural Networks
• Enrique Zuazua. FAU MoD/DCN-AvH, Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany)
Talk (Slides): Hybrid-Cooperative Learning for PDEs
• Paolo Zunino. Politecnico di Milano (Italy)
Talk: Scientific Machine Learning for Computational Oncology: From Reduced Order Modeling to Patient-Specific Models
PROGRAM
Organizers
• Harbir Antil. George Mason University
• Enrique Zuazua. FAU MoD/DCN-AvH, Friedrich-Alexander-Universität Erlangen-Nürnberg
WHEN
Wed. – Tue. November 19 – 25, 2025 • 09:30H – 17:00H
This event at your local time
WHERE
International School of Mathematics “Guido Stampacchia”
Ettore Majorana Foundation and Centre for Scientific Culture (EMFCSC)
Via Gian Filippo Guarnotti, 26, 91016
Erice, Italy
REGISTRATION
Registration is only by invitation.
In case you are interested in attending, please contact the organizers.
Directions
-The two airports closest to Erice are Palermo and Trapani. Trapani only receives certain low-cost airlines such as Ryanair.
-Free taxis from Palermo and Trapani airports are provided on Nov 19 and on Nov 25. If the attendees choose other travel days, they will have to pay for their own taxi.
-In order to arrange a Taxi, the Center needs arrival times and flights numbers of all the participants; these have to be provided by the workshop organizers a couple of weeks before the meeting.
-The same apply for the rooms and accompanying persons.
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