Local and global perspectives on diffusion maps in the analysis of molecular systems.

ABSTRACT: Diffusion maps approximate the generator of Langevin dynamics from simulation data. They afford a means of identifying the slowly evolving principal modes of high-dimensional molecular systems. When combined with a biasing mechanism, diffusion maps can accelerate the sampling of the stationary Boltzmann-Gibbs distribution. In this work, we contrast the local and global perspectives on diffusion maps, based on whether or not the data distribution has been fully explored. In the global setting, we use diffusion maps to identify metastable sets and to approximate the corresponding committor functions of transitions between them. We also discuss the use of diffusion maps within the metastable sets, formalizing the locality via the concept of the quasi-stationary distribution and justify

SUBMITTER: Trstanova Z 

PROVIDER: S-EPMC7016551 | biostudies-literature | 2020 Jan

REPOSITORIES: biostudies-literature