Correlation, Independance and Inverse Modeling

  • Authors:
  • V. Vigneron

  • Affiliations:
  • IBISC-lab CNRS FRE 3190, Université d'Evry, Evry Cedex, France 91020 and Équipe MATISSE-SAMOS CES CNRS-UMR 8173, Paris cedex 13, France 75634

  • Venue:
  • ICISP '08 Proceedings of the 3rd international conference on Image and Signal Processing
  • Year:
  • 2008

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Abstract

Learning from examples has a wide number of forms depending on what is to be learned from which available information. One of these form is y= f(x) where the input-output pair (x,y) is the available information and frepresents the process mapping ${\bf x}\in\cal X$ to ${\bf y}\in\cal Y$. In general and for real world problems, it is not reasonnable to expect having the exact representation of f. A fortiori when the dimension of xis large and the number of examples is little. In this paper, we introduce a new model, capable to reduce the complexity of many ill-posedproblems without loss of generality. The underlying Bayesian artifice is presented as an alternative to the currently used frequency approaches which does not offer a compelling criterion in the case of high dimensional problems.