[R] [R-pkgs] New package for ICA uploaded to CRA

Trevor Hastie hastie at stanford.edu
Wed Apr 28 17:49:33 CEST 2010


I have uploaded a new package to CRAN called ProDenICA.

This fits ICA models directly via product-density estimation
of the source densities. This package was promised on page 567 in the 
2nd edition of our book 'Elements of Statistical Learning' 
(Hastie, Tibshirani and Friedman, 2009, Springer) . Apologies that it is so late.

The method fits each source density by a tilted gaussian density, where
the log of the tilting function is modeled by a smoothing spline. This 
function is then used as a contrast function for computing the negentropy
measure for this source component. The estimation is achieved by fitting a poisson
GAM model for each component, with the log-gaussian as an offset.

The method was first described in
Hastie, T. and Tibshirani, R. (2003). Independent component analysis
through product density estimation, in S. T. S. Becker and K. Obermayer
(eds), Advances in Neural Information Processing Systems 15,
MIT Press, Cambridge, MA, pp. 649-656.



-------------------------------------------------------------------
  Trevor Hastie                                   hastie at stanford.edu  
  Professor, Department of Statistics, Stanford University
  Phone: (650) 725-2231 (Statistics)          Fax: (650) 725-8977  
  (650) 498-5233 (Biostatistics)   Fax: (650) 725-6951
  URL: http://www-stat.stanford.edu/~hastie  
   address: room 104, Department of Statistics, Sequoia Hall
           390 Serra Mall, Stanford University, CA 94305-4065  

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