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Code for Optimal KL Aggregation in Mixture density estimation by Maximum Likelihood

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KL-aggregation

This repository contains code written during my Ph.D thesis for "Optimal Kullback-Leibler Aggregation in Mixture Density Estimation by Maximum Likelihood" paper. https://www.ems-ph.org/journals/show_pdf.php?issn=2520-2316&vol=1&iss=1&rank=1

Note: this code is provided 'as-is' and need refactoring to be used. It relies heavily on Numba, comment @jit decorator for testing.

Several portions of this code come from different sources, some of which I did not referenced properly, nevertheless, I thank the authors.

the models present in this repository are:

I also implemented

  • Adaptitve Dantzig estimator from from K. Bertin, E. Le Pennec and V. Rivoirard
  • SPADES estimator, by Florentina Bunea, Alexandre B. Tsybakov, Marten H. Wegkamp and Adrian Barbu

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Code for Optimal KL Aggregation in Mixture density estimation by Maximum Likelihood

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