On the entropy of sums
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[1] Richard Bellman,et al. Introduction to Matrix Analysis , 1972 .
[2] Mokshay M. Madiman,et al. Information Inequalities for Joint Distributions, With Interpretations and Applications , 2008, IEEE Transactions on Information Theory.
[3] Fan Chung Graham,et al. Some intersection theorems for ordered sets and graphs , 1986, J. Comb. Theory, Ser. A.
[4] Satoru Fujishige,et al. Polymatroidal Dependence Structure of a Set of Random Variables , 1978, Inf. Control..
[5] Randall Dougherty,et al. Networks, Matroids, and Non-Shannon Information Inequalities , 2007, IEEE Transactions on Information Theory.
[6] Béla Bollobás,et al. Compressions and isoperimetric inequalities , 1990, J. Comb. Theory, Ser. A.
[7] Te Sun Han. Nonnegative Entropy Measures of Multivariate Symmetric Correlations , 1978, Inf. Control..
[8] Amir Dembo,et al. Information theoretic inequalities , 1991, IEEE Trans. Inf. Theory.
[9] Abbas El Gamal,et al. An information - theoretic proof of Hadamard's inequality , 1983, IEEE Trans. Inf. Theory.
[10] Mokshay M. Madiman,et al. Generalized Entropy Power Inequalities and Monotonicity Properties of Information , 2006, IEEE Transactions on Information Theory.
[11] Sang Joon Kim,et al. A Mathematical Theory of Communication , 2006 .
[12] Zhen Zhang,et al. On Characterization of Entropy Function via Information Inequalities , 1998, IEEE Trans. Inf. Theory.
[13] Thomas M. Cover,et al. Elements of Information Theory , 2005 .
[14] A. J. Stam. Some Inequalities Satisfied by the Quantities of Information of Fisher and Shannon , 1959, Inf. Control..
[15] Charles R. Johnson,et al. Matrix analysis , 1985, Statistical Inference for Engineers and Data Scientists.
[16] F. Matús,et al. Two Constructions on Limits of Entropy Functions , 2007, IEEE Transactions on Information Theory.
[17] K. Ball,et al. Solution of Shannon's problem on the monotonicity of entropy , 2004 .
[18] Olivier Rioul. A Simple Proof of the Entropy-Power Inequality via Properties of Mutual Information , 2007, 2007 IEEE International Symposium on Information Theory.