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DSBS-MutInf-counterexample

Complementary material for "Distributed Information-Theoretic Clustering"

We provide counterexamples to Conjecture 1 in [1]:

   [1] M. B. Westover and J. A. O’Sullivan, “Achievable rates for pattern recognition,”  
       IEEE Trans. Inf. Theory, vol. 54, no. 1, pp. 299–320, Jan. 2008.

This code is written in the Octave programming language and shows the existence of counterexamples to [1, Eqs. (14), (15)].

Requirements:

  • Octave >= 4.0.0
  • interval package
  • symbolic package

Usage:

octave counterexample1.m
octave counterexample2.m