Diffusion Maps, Spectral Clustering and Reaction Coordinates of Dynamical Systems

@inproceedings{Nadler2005DiffusionMS,
  title={Diffusion Maps, Spectral Clustering and Reaction Coordinates of Dynamical Systems},
  author={Boaz Nadler and St{\'e}phane Lafon and Ronald R. Coifman and Ioannis G. Kevrekidis},
  year={2005}
}
  • Boaz Nadler, Stéphane Lafon, +1 author Ioannis G. Kevrekidis
  • Published 2005
  • Mathematics
  • Abstract A central problem in data analysis is the low dimensional representation of high dimensional data and the concise description of its underlying geometry and density. In the analysis of large scale simulations of complex dynamical systems, where the notion of time evolution comes into play, important problems are the identification of slow variables and dynamically meaningful reaction coordinates that capture the long time evolution of the system. In this paper we provide a unifying… CONTINUE READING

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