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math.OC2026
Constructive interpolation and generalization rates for neural ODEs: a control perspective
Antonio Álvarez-López, Lorenzo Liverani, Enrique Zuazua
We study supervised regression with neural ODEs (NODEs) from a control-theoretic perspective to derive explicit population-risk bounds. We focus on a widely used class of non-auton…
math.OC2026
HYCO: A Formalism for Hybrid-Cooperative PDE Modelling
Lorenzo Liverani, Enrique Zuazua
We present Hybrid-Cooperative Learning (HYCO), a hybrid modeling framework that integrates physics-based and data-driven models through mutual regularization. Unlike traditional ap…
math.OC2025
HYCO: Hybrid-Cooperative Learning for Data-Driven PDE Modeling
Lorenzo Liverani, Enrique Zuazua
We introduce Hybrid-Cooperative Learning (HYCO), a framework for data-driven PDE modeling in which a physics-based solver and a flexible synthetic model are trained as two independ…