Anisotropic Diffusion on SubManifolds with Application to Earth Structure Classification

  title={Anisotropic Diffusion on SubManifolds with Application to Earth Structure Classification},
  author={Dan Kushnir and Ali Haddad and Ronald R. Coifman},
We introduce a method to re-parameterize massive high dimensional data, generated by nonlinear mixing, into its independent physical parameters. Our method enables the identification of the parameters and a semi-supervised extension of the re-parameterization to new observations without any knowledge of the true physical model. Our work is related to spectral independent components analysis (ICA) via the construction of an anisotropic diffusion kernel whose eigenfunctions comprise the… CONTINUE READING
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Publications referenced by this paper.
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Theory of reproducing kernels

  • N. Aronszajn
  • Trans. Amer. Math. Soc. 68(3)
  • 1950
Highly Influential
4 Excerpts


  • L. Rosasco, M. Belkin
  • De Vito, On Learning with Integral Operators JMLR…
  • 2010
1 Excerpt


  • A. D. Szlam, M. Maggioni
  • R. Coifman, Regularization on Graphs with…
  • 2008

Geometric harmonics: A novel tool for multiscale out-of-sample extension of empirical functions

  • R. R. Coifman, S. Lafon
  • Applied and Computational Harmonic Analysis 21(1)
  • 2006
3 Excerpts

Tabanou, Real-Time Interpretation Of Formation Structure From Directional EM Measurements

  • D. Omeragic, T. Habashy, C. Esmersoy, Q. Li, J. Seydoux, J.R.J. Smits
  • SPWLA 47th Annual Logging Symposium,
  • 2006

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