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math.NA2026
A Quadratic Order Reduction -- Gaussian Process Ordinary Differential Equation framework for the inference of Large Continuous Dynamical Systems
Guglielmo Padula, Michele Girfoglio, Gianluigi Rozza
Forecasting the evolution of complex dynamical systems remains a fundamentally challenging task, primarily due to pronounced nonlinear interactions, high-dimensional state spaces,…
math.NA2025
Generative Models for Parameter Space Reduction applied to Reduced Order Modelling
Guglielmo Padula, Gianluigi Rozza
Solving and optimising Partial Differential Equations (PDEs) in geometrically parameterised domains often requires iterative methods, leading to high computational and time complex…
math.NA2024
A brief review of Reduced Order Models using intrusive and non-intrusive techniques
Guglielmo Padula, Michele Girfoglio, Gianluigi Rozza
Reduced Order Models (ROMs) have gained a great attention by the scientific community in the last years thanks to their capabilities of significantly reducing the computational cos…