Comparison of Systems using Diffusion Maps

  title={Comparison of Systems using Diffusion Maps},
  author={Umesh Vaidya and G. Hagen and Andrzej Banaszuk and St{\'e}phane Lafon and Igor Mezic and R R Coifman},
  journal={Proceedings of the 44th IEEE Conference on Decision and Control},
In this paper we propose an efficient method of comparing data sets obtained from either an experiment or simulation of dynamical system model for the purpose of model validation. The proposed approach is based on comparing the intrinsic geometry and the associated dynamics linked with the data sets, and requires no a priori knowledge of the qualitative behavior or the dimension of the phase space. The approach to data analysis is based on constructing a diffusion map defined on the graph of… CONTINUE READING
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