Machine learning-assisted multi-scale modeling

Author:

E Weinan1ORCID,Lei Huan2ORCID,Xie Pinchen3ORCID,Zhang Linfeng4

Affiliation:

1. Peking University and AI for Science Institute 1 , Beijing, China

2. Michigan State University 2 , Lansing, Michigan 48912, USA

3. Princeton University 3 , Princeton, New Jersey 08544, USA

4. AI for Science Institute 4 , Beijing, China

Abstract

Neural network-based machine learning is capable of approximating functions in very high dimension with unprecedented efficiency and accuracy. This has opened up many exciting new possibilities, one of which is to use machine learning algorithms to assist multi-scale modeling. In this review, we use three examples to illustrate the process involved in using machine learning in multi-scale modeling: ab initio molecular dynamics, ab initio meso-scale models, such as Landau models and generalized Langevin equation, and hydrodynamic models for non-Newtonian flows.

Publisher

AIP Publishing

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Reference51 articles.

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