EPR-Net: Constructing Non-equilibrium Potential Landscape Via a Variational Force Projection Formulation--Institute of Theoretical Physics，Chinese Academy of Sciences

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EPR-Net: Constructing Non-equilibrium Potential Landscape Via a Variational Force Projection Formulation

03/01 2023 Seminar

Title EPR-Net: Constructing Non-equilibrium Potential Landscape Via a Variational Force Projection Formulation
Speaker Tie-Jun Li (PKU)
Date 10:30-12:00, Mar.1, 2023
Venue 6620 South Building

Abstract

In this talk, we present a novel yet simple deep learning approach, dubbed EPR-Net, for constructing the potential landscape of high-dimensional non-equilibrium steady state (NESS) systems. The key idea of our approach is to utilize the fact that the negative potential gradient is the orthogonal projection of the driving force with respect to an inner product weighted by the steady-state distribution. The minimum of the proposed loss function coincides with the steady entropy production rate (EPR) formula in NESS theory. The proposed learning strategy is also extended to dealing with dimensionality reduction and state-dependent diffusion coefficients in a unified fashion. It is succesfully applied to high-dimensional biochemical models with multi-stability, limit cycle, or strange attractor with non-vanishing noise. This is a joint work with Wei Zhang (ZIB) and Yue Zhao (PKU).