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Sumset and Inverse Sumset Inequalities for Differential Entropy and Mutual Information
Shannon entropy differential entropy sumset bounds inequalities submodularity data processing mutual information
2012/6/19
The sumset and inverse sumset theories of Freiman, Pl\"{u}nnecke and Ruzsa, give bounds connecting the cardinality of the sumset $A+B=\{a+b\;;\;a\in A,\,b\in B\}$ of two discrete sets $A,B$, to the ca...
Mutual information, matroids and extremal dependencies
Mutual information matroids extremal dependencies
2011/2/24
In this paper, it is shown that the rank function of a matroid can be represented by a “mutual
information function” if and only if the matroid is binary. The mutual information function
considered ...
The performance of mutual information for mixture of bivariate normal distributions based on robust kernel estimation
Mutual Information Kernel Density Minimum Volume Ellipsoid
2010/9/25
Mutual Information (MI) measures the degree of association between variables in nonlinear model as well as linear models. It can also be used to measure the dependency between variables in mixture dis...
The total many-body correlations present in nite temperature classical spin systems are studied using the concept of mutual information. As opposed to zero-temperature quantum phase transitions,the t...
Quantum correlation: Comparison of measures with geometry and mutual information
Quantum correlation Comparison measures geometry mutual information
2010/11/5
Two measures for quantum correlations were proposed recently from a geometric perspective [Phys. Rev. Lett. 104, 080501 (2010); e-print arXiv:1004.0190]. We prove the the equivalence of the two geomet...
Quantifying Emergence in terms of Persistent Mutual Information
Persistent Mutual Information close times
2010/4/2
We define Persistent Mutual Information (PMI) as the Mutual (Shannon) Information between the past history of a system and its evolution significantly later in the future. This quantifies how much pas...