A measure-based nudging framework assimilates smoothed macroscopic observations into microscopic mean-field particle dynamics using Wasserstein transport velocities on probability measures.
Learning generalized diffusions using an energetic variational approach.arXiv preprint arXiv:2412.04480, 2024
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The authors introduce an energy-based learning method grounded in the De Giorgi dissipation functional that infers potential energies for generalized diffusions while preserving variational structure and showing improved robustness to noise and limited observations.
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Multiscale Nudging: From Macroscopic Observations to Microscopic Dynamics
A measure-based nudging framework assimilates smoothed macroscopic observations into microscopic mean-field particle dynamics using Wasserstein transport velocities on probability measures.
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Structure-Aware Variational Learning of a Class of Generalized Diffusions
The authors introduce an energy-based learning method grounded in the De Giorgi dissipation functional that infers potential energies for generalized diffusions while preserving variational structure and showing improved robustness to noise and limited observations.