Sparse identification of nonlocal interaction kernels in nonlinear gradient flow equations via partial inversion

We address the inverse problem of identifying nonlocal interaction potentials in nonlinear aggregation-diffusion equations from noisy discrete trajectory data. Our approach involves formulating and solving a regularized variational problem, which requires minimizing a quadratic error functional acro...

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Bibliographic Details
Main Authors: Carrillo de la Plata, J, Estrada-Rodriguez, G, Mikolás, L, Tang, S
Format: Journal article
Language:English
Published: World Scientific Publishing 2025