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2021

The Deep Minimizing Movement Scheme

Park, Min Sue, Kim, Cheolhyeong, Son, Hwijae et al.

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Solutions of certain partial differential equations (PDEs) are often represented by the steepest descent curves of corresponding functionals.

Minimizing movement scheme was developed in order to study such curves in metric spaces.
Especially, Jordan-Kinderlehrer-Otto studied the Fokker-Planck equation in this way with respect to the Wasserstein metric space.
In this paper, we propose a deep learning-based minimizing movement scheme for approximating the solutions of PDEs.

The Deep Minimizing Movement Scheme · Around

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