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Proceedings of Machine Learning Research | Proceedings of the 2nd ECAI Workshop on “Machine Learning Meets Differential Equations: From Theory to Applications” Held in University of Bologna - The Engineering School, Bologna, Italy on 26 October 2025 Published as Volume 277 by the Proceedings of Machine Learning Research on 07 October 2025. Volume Edited by: Cecı́lia Coelho Bernd Zimmering M. Fernanda P. Costa Luı́s L. Ferrás Oliver Niggemann Series Editors: Neil D. Lawrence
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[ECAI Workshop on Machine Learning Meets Differential Equations: From Theory to Applications Logo] Proceedings of Machine Learning Research

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Volume 277: ECAI Workshop on Machine Learning Meets Differential Equations: From Theory to Applications, 26 October 2025, University of Bologna - The Engineering School, Bologna, Italy

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Editors: Cecı́lia Coelho, Bernd Zimmering, M. Fernanda P. Costa, Luı́s L. Ferrás, Oliver Niggemann

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Learning non-Markovian Dynamical Systems with Signature-based Encoders

Eliott Pradeleix, Rémy Hosseinkhan-Boucher, Alena Shilova, Onofrio Semeraro, Lionel Mathelin; Proceedings of the 2nd ECAI Workshop on "Machine Learning Meets Differential Equations: From Theory to Applications", PMLR 277:1-25

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TaylorNet: Learning PDEs from Non-Grid Data

Andrzej Dulny, Paul Heinisch, Andreas Hotho, Anna Krause; Proceedings of the 2nd ECAI Workshop on "Machine Learning Meets Differential Equations: From Theory to Applications", PMLR 277:26-46

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Physics-Informed Graph Neural Networks for Air Pollution Forecasting in the Netherlands

Nikolas Assiotis, Rachel Hau, Valentijn Oldenburg, Rik Verbiest, Julian Koellermeier, Matthia Sabatelli, Juan Cardenas-Cartagena; Proceedings of the 2nd ECAI Workshop on "Machine Learning Meets Differential Equations: From Theory to Applications", PMLR 277:47-70

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A Unified Framework for Neural Computation and Learning Over Time

Stefano Melacci, Alessandro Betti, Michele Casoni, Tommaso Guidi, Matteo Tiezzi, Marco Gori; Proceedings of the 2nd ECAI Workshop on "Machine Learning Meets Differential Equations: From Theory to Applications", PMLR 277:71-95

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ExtremONet: Extreme-Learning-based Neural Operator for identifying dynamical systems

Jari Beysen, Floriano Tori; Proceedings of the 2nd ECAI Workshop on "Machine Learning Meets Differential Equations: From Theory to Applications", PMLR 277:96-120

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Flowing Straighter with Conditional Flow Matching for Accurate Speech Enhancement

Mattias Cross, Anton Ragni; Proceedings of the 2nd ECAI Workshop on "Machine Learning Meets Differential Equations: From Theory to Applications", PMLR 277:121-132

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Hamiltonian Normalizing Flows as kinetic PDE solvers: application to the 1D Vlasov-Poisson Equations

Vincent Souveton, Sébastien Terrana; Proceedings of the 2nd ECAI Workshop on "Machine Learning Meets Differential Equations: From Theory to Applications", PMLR 277:133-146

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