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Key Words: Neural Network, Variational Method, Maximum Flux Path (MFP), Minimum Energy Path (MEP), Minimum Action Path (MAP), High-Dimensional Applications, Ginzburg–Landau Functional, Alanine Dipeptide, gMAM

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KevinWUZHIYOU/StringNET

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StringNET

StringNET is the code accompanying the paper:

StringNET: Neural Network based Variational Method for Transition Pathways
Jiayue Han, Zhiyou Wu, Shuting Gu, Xiang Zhou
https://arxiv.org/abs/2408.12621

License: MIT

Key Words: Neural Network, Variational Method, Maximum Flux Path (MFP), Minimum Energy Path (MEP), Minimum Action Path (MAP), High-Dimensional Applications, Ginzburg–Landau Functional

Introduction

StringNET is a neural network–based method for computing transition pathways between metastable states. Our approach is built on a variational formulation over curves in the path space and can be used to compute the Maximum Flux Path (MFP), and pre-train for Minimum Energy Path (MEP), and Minimum Action Path (MAP).

Our code consist of a set of numerical examples that clearly demonstrate the method on various test cases, including:

  • Double-Well and Three-Well Potentials
  • Alanine Dipeptide Conformational Transitions
  • High-Dimensional Muller Potential
  • 2D and 4D Ginzburg–Landau Functionals

For more details, please refer to our preprint in arxiv. StringNET: Neural Network based Variational Method for Transition Pathways.

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Key Words: Neural Network, Variational Method, Maximum Flux Path (MFP), Minimum Energy Path (MEP), Minimum Action Path (MAP), High-Dimensional Applications, Ginzburg–Landau Functional, Alanine Dipeptide, gMAM

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