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We study new formulas based on Lyapunov exponents for entropy, mutual information, and capacity of finite state discrete time Markov channels. We also develop a method for directly computing mutual in...
I present several new relations between mutual information (MI) and statistical estimation error for a system that can be regarded simultaneously as a communication channel and as an estimator of an ...
In this paper we consider simple and computationally efficient nonparametric estimators of R´enyi entropy and mutual information based on an i.i.d. sample drawn from an unknown, absolutely con...
Some Data Analyses Using Mutual Information
A new concept of mutual pressure is introduced for potential functions on both continuous and discrete compound spaces via discrete micro-states of permutations, and its relations with the usual pre...
A new expression as a certain asymptotic limit via “discrete microstates” of permutations is provided to the mutual information of both continuous and discrete random variables.

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