Comparison of Systems using Diffusion Maps

@article{Vaidya2005ComparisonOS,
  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},
  year={2005},
  pages={7931-7936}
}
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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Referenced Papers

Publications referenced by this paper.
Showing 1-10 of 17 references

Comparison of systems with complex behavior

  • I. Mezić, A. Banaszuk
  • Physica D,
  • 2004
5 Excerpts

Diffusion Maps and Geometric Harmonics

  • S. Lafon
  • PhD thesis, Yale University,
  • 2004
4 Excerpts

Experimental investigation of limit-cycle oscillations in an unstable gas-turbine combustor

  • T. C. Lieuwen
  • Journal of Propulsion and Power,
  • 2002

Linear and nonlinear analysis of controlled combustion processe, part 2: Nonlinear analysis

  • A. Banaszuk, C. A. Jacobson, A. I. Khibnik, P. Mehta
  • Conference on Control Applications,
  • 1999

Optimal control of vortex shedding using low-order models, Part 1: Open-loop model development, and Part 2: Model-based control

  • W. R. Graham, J. Peraire, K. Y. Tang
  • International Journal For Numerical Methods in…
  • 1999
1 Excerpt

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