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math.NA2024★ 1 cited
Optimal Transport-Based Displacement Interpolation with Data Augmentation for Reduced Order Modeling of Nonlinear Dynamical Systems
Moaad Khamlich, Federico Pichi, Michele Girfoglio +2
We present a novel reduced-order Model (ROM) that leverages optimal transport (OT) theory and displacement interpolation to enhance the representation of nonlinear dynamics in comp…
math.NA2024
A stochastic perturbation approach to nonlinear bifurcating problems
Isabella Carla Gonnella, Moaad Khamlich, Federico Pichi +1
Incorporating probabilistic terms in mathematical models is crucial for capturing and quantifying uncertainties in real-world systems, especially when the solution is not unique or…