Fetching the paper…
Reading the bibliography…
In this paper we provide a new geometric characterization of the Hirschfeld-Gebelein-R\'{e}nyi maximal correlation of a pair of random $(X,Y)$, as well as of the chordal slope of the nontrivial boundary of the hypercontractivity ribbon of $(X,Y)$ at infinity.
H. O. Hirschfeld, “A connection between correlation and contingency,” Proc. Cambridge Philosophical Soc. 31, pp 520-524 (1935)
1935
Earlier work this paper cites.
H. Gebelein, “Das statistische Problem der Korrelation als Variations- und Eigenwert-problem und sein Zusammenhang mit der Ausgleichungsrechnung,” Zeitschrift für angew. Math. und Mech. 21, pp. 364-379 (1941)
1941
Earlier work this paper cites.
A. Rényi, ““On measures of dependence,”Acta Math. Hung., vol. 10, pp. 441-451, 1959
1959
Earlier work this paper cites.
P. Gács and J. Körner, “Common information is far less than mutual information,” Problems of Control and Information Theory, Vol. 2, No. 2, 1973, pp. 149 -162
1973
Earlier work this paper cites.
Janos Körner and Katalin Marton, “Comparison of two noisy channels,” Topics in Inform. Theory(ed. by I. Csiszar and P.Elias), Keszthely, Hungary, August, 1975, pp 411-423
1975
Earlier work this paper cites.
H.S. Witsenhausen, “On sequences of pairs of dependent random variables,” SIAM Journal on Applied Mathematics, vol. 28, no. 1, pp. 100-113, January 1975
1975
Earlier work this paper cites.
E. Erkip and T. Cover, “The efficiency of investment information,” IEEE Transactions On Information Theory, vol. 44, pp. 1026-1040, May 1998
1998
Cited alongside, same era.
G. Kumar, “On sequences of pairs of dependent random variables: A simpler proof of the main result using SVD,” On webpage, July 2010, http://www.stanford.edu/~gowthamr/research/Witsenhausen_simpleproof.pdf
2010
Cited alongside, same era.
G. Kumar, “Binary Rényi Correlation: A simpler proof of Witsenhausen’s result and a tight lower bound,” On webpage, July 2010, http://www.stanford.edu/~gowthamr/research/binary_renyi_correlation.pdf
2010
Cited alongside, same era.
W, Kang and S. Ulukus, “A New Data Processing Inequality and Its Applications in Distributed Source and Channel Coding,” IEEE Transactions on Information Theory 57, 56-69 (2011)
2011
Cited alongside, same era.
Y. Geng and C. Nair, “The capacity region of the two-receiver vector gaussian broadcast channel with private and common messages,” Feb. 2012, 1202.0097
2012
Later among the works it cites.
A. Gohari and V. Anantharam, “Evaluation of Marton’s Inner Bound for the General Broadcast Channel,” IEEE Transactions on Information Theory, Volume 58, Issue 2, Feb. 2012
2012
Later among the works it cites.
S,-L, Huang and L. Zheng, “Linear Information Coupling Problems”, IEEE Symposium On Information Theory (ISIT), 2012
2012
Later among the works it cites.
S. Kamath and V. Anantharam, “Non-interactive Simulation of Joint Distributions: The Hirschfeld-Gebelein-Rényi Maximal Correlation and the Hypercontractivity Ribbon,” Proceedings of the 50th Annual Allerton Conference on Communications, Control and Computing 2012, Monticello, Illinois
2012
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
2011
Cited alongside, same era.
R. Ahlswede and P. Gács “Spreading of Sets in Product Spaces and Hypercontraction of the Markov Operator, ”
Cited in the paper.
S. Beigi, “A New Quantum Data Processing Inequality,” arXiv: 1210.1689
Cited in the paper.
T. A. Courtade, “Outer Bounds for Multiterminal Source Coding based on Maximal Correlation”, arXiv: 1302.3492
Cited in the paper.
E. Mossel, K. Oleszkiewicz and A. Sen, “On Reverse Hypercontractivity”, Geometric and Functional Analysis, 2013, pp. 1-36
2013
Closest in time.