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Certain Relations between Mutual Information and Fidelity of Statistical Estimation
Certain Relations Mutual Information Fidelity of Statistical Estimation
2010/10/19
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 ...
Estimation of Rényi Entropy and Mutual Information Based on Generalized Nearest-Neighbor Graphs
Rényi Entropy Mutual Information Generalized Nearest-Neighbor Graphs
2010/3/11
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.