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We tighten the Entropy Power Inequality (EPI) when one of the random summands is Gaussian.
On a property characteristic of the normal law
S. N. Bernstein · 1941
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A mathematical theory of communication
C.E. Shannon · 1948
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Convexity
Harold Gordon Eggleston · 1958
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Some inequalities satisfied by the quantities of information of Fisher and Shannon
A. J. Stam · 1959
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The convolution inequality for entropy powers
Nelson M. Blachman · 1965
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The free Markoff field
Edward Nelson · 1973
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A simple converse for broadcast channels with additive white Gaussian noise (corresp.)
P. Bergmans · 1974
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Logarithmic Sobolev inequalities
Leonard Gross · 1975
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Spreading of sets in product spaces and hypercontraction of the Markov operator
Rudolf Ahlswede and Peter Gács · 1976
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Multiterminal Source Coding. In G. Longo (Ed.), The Information Theory Approach to Communications
T. Berger · 1977
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The Gaussian wire-tap channel
S. Leung-Yan-Cheong and M.E. Hellman · 1978
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Multiterminal Source Coding
S.-Y. Tung · 1978
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On a source-coding problem with two channels and three receivers
L. Ozarow · 1980
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The capacity of the Gaussian interference channel under strong interference (corresp.)
Hiroshi Sato · 1981
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A new achievable rate region for the interference channel
Han Te Sun and Kingo Kobayashi · 1981
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On the similarity of the entropy power inequality and the Brunn-Minkowski inequality (corresp.)
Maice Costa and Thomas Cover · 1984
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A new entropy power inequality
M.H.M. Costa · 1985
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On the Gaussian interference channel
M.H.M. Costa · 1985
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Gaussian kernels have only Gaussian maximizers
Elliott H Lieb · 1990
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Superadditivity of Fisher’s information and logarithmic Sobolev inequalities
Eric A Carlen · 1991
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Gaussian multiterminal source coding
Y. Oohama · 1997
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Optimal Young’s inequality and its converse: a simple proof
Franck Barthe · 1998
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Entropy jumps in the presence of a spectral gap
Keith Ball, Franck Barthe, and Assaf Naor · 2003
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Rate region of the quadratic Gaussian CEO problem
V. Prabhakaran, D. Tse, and K. Ramachandran · 2004
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Rate-distortion theory for Gaussian multiterminal source coding systems with several side informations at the decoder
Y. Oohama · 2005
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The capacity region of the Gaussian multiple-input multiple-output broadcast channel
H. Weingarten, Y. Steinberg, and S. Shamai · 2006
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A proof of the converse for the capacity of Gaussian mimo broadcast channels
M. Mohseni and J.M. Cioffi · 2006
On hypercontractivity and the mutual information between boolean functions
Venkat Anantharam, Amin Aminzadeh Gohari, Sudeep Kamath, and Chandra Nair · 2013
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Venkat Anantharam, Amin Gohari, Sudeep Kamath, and Chandra Nair · 2013
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Outer bounds for multiterminal source coding via a strong data processing inequality
Thomas Courtade · 2013
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Sumset and inverse sumset inequalities for differential entropy and mutual information
Ioannis Kontoyiannis and Mokshay Madiman · 2014
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Bounds on the deficit in the logarithmic Sobolev inequality
Sergey G Bobkov, Nathael Gozlan, Cyril Roberto, and P-M Samson · 2014
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Rate region of the quadratic Gaussian two-encoder source-coding problem
A.B. Wagner, S. Tavildar, and P. Viswanath · 2008
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The Gaussian multiple access wire-tap channel
E. Tekin and A. Yener · 2008
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On the entropy of sums
Mokshay Madiman · 2008
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Subadditivity of the entropy and its relation to BrascampÑLieb type inequalities
Eric A Carlen and Dario Cordero-Erausquin · 2009
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A vector generalization of costa’s entropy-power inequality with applications
Ruoheng Liu, Tie Liu, H.V. Poor, and S. Shamai · 2010
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On the sum rate of Gaussian multiterminal source coding: New proofs and results
Jia Wang, Jun Chen, and Xiaolin Wu · 2010
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Max Fathi, Emanuel Indrei, and Michel Ledoux · 2014
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An extremal inequality for long Markov chains
Thomas Courtade and Jiantao Jiao · 2014
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Multiterminal source coding under logarithmic loss
Thomas A Courtade and Tsachy Weissman · 2014
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Equivalent formulations of hypercontractivity using information measures
Chandra Nair · 2014
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Strong data processing inequalities and ϕ \phi -Sobolev inequalities for discrete channels
Maxim Raginsky · 2014
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Dissipation of information in channels with input constraints
Yury Polyanskiy and Yihong Wu · 2014
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The capacity region of the two-receiver Gaussian vector broadcast channel with private and common messages
Yanlin Geng and C. Nair · 2014
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Wasserstein continuity of entropy and outer bounds for interference channels
Yury Polyanskiy and Yihong Wu · 2015
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The Ruzsa divergence for random elements in locally compact abelian groups
Mokshay Madiman and Ioannis Kontoyiannis · 2015
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Stability results for logarithmic Sobolev and GagliardoÑNirenberg inequalities
Jean Dolbeault and Giuseppe Toscani · 2015
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Justification of logarithmic loss via the benefit of side information
Jiantao Jiao, Thomas A Courtade, Kartik Venkat, and Tsachy Weissman · 2015
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Strong data processing inequalities in power-constrained Gaussian channels
Flávio du Pin Calmon, Yury Polyanskiy, and Yihong Wu · 2015
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Entropy power inequality for the Rényi entropy
S.G. Bobkov and G.P. Chistyakov · 2015
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Gaussian Z-interference channel: Around the corner
Chandra Nair and Max HM Costa · 2016
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Information theoretic perspectives on Brascamp-Lieb inequalities
Jingbo Liu, Thomas A. Courtade, Paul Cuff, and Sergio Verdú · 2016
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