# Information Measures: The Curious Case of the Binary Alphabet

@article{Jiao2014InformationMT,
title={Information Measures: The Curious Case of the Binary Alphabet},
author={Jiantao Jiao and Thomas A. Courtade and Albert No and Kartik Venkat and Tsachy Weissman},
journal={IEEE Transactions on Information Theory},
year={2014},
volume={60},
pages={7616-7626}
}
• Jiantao Jiao, +2 authors T. Weissman
• Published 27 April 2014
• Mathematics, Computer Science
• IEEE Transactions on Information Theory
Four problems related to information divergence measures defined on finite alphabets are considered. In three of the cases we consider, we illustrate a contrast that arises between the binary-alphabet and larger alphabet settings. This is surprising in some instances, since characterizations for the larger alphabet settings do not generalize their binary-alphabet counterparts. In particular, we show that f-divergences are not the unique decomposable divergences on binary alphabets that satisfy…
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