Fetching the paper…
Reading the bibliography…
Total correlation (`TC') and dual total correlation (`DTC') are two classical ways to quantify the correlation among an $n$-tuple of random variables.
Multivariate information transmission
W. J. McGill: · 1954
Earlier work this paper cites.
On the general definition of the quantity of information
I. Gelfand, A. Kolmogorov, and I. Yaglom: · 1956
Earlier work this paper cites.
On the shannon theory of information transmission in the case of continuous signals
A. N. Kolmogorov: · 1956
Earlier work this paper cites.
A general formulation of Shannon’s fundamental theorem in the theory of information
R. L. Dobrušin: · 1959
Earlier work this paper cites.
Information theory with an abstract alphabet. Generalized forms of McMillan’s limit theorem for the case of discrete and continuous times
A. Perez: · 1959
Earlier work this paper cites.
Information theoretical analysis of multivariate correlation
S. Watanabe: · 1960
Earlier work this paper cites.
Information and information Stability of Random Variables and Processes
M. S. Pinsker: · 1964
Earlier work this paper cites.
Linear dependence structure of the entropy space
T. S. Han: · 1975
Earlier work this paper cites.
ϵ \epsilon -admissible simplifications of the dependence structure of a set of random variables
A. Perez: · 1977
Earlier work this paper cites.
Polymatroidal dependence structure of a set of random variables
S. Fujishige: · 1978
Earlier work this paper cites.
Nonnegative entropy measures of multivariate symmetric correlations
T. S. Han: · 1978
Earlier work this paper cites.
The strong converse of the coding theorem for the multiple-access channel
G. Dueck: · 1981
Earlier work this paper cites.
An elementary proof of the strong converse theorem for the multiple-access channel
R. Ahlswede: · 1982
Earlier work this paper cites.
Sanov property, generalized
I. Csiszár: · 1984
Earlier work this paper cites.
The rate-distortion region for multiple descriptions without excess rate
R. Ahlswede: · 1985
Earlier work this paper cites.
Some intersection theorems for ordered sets and graphs
F. R. K. Chung, R. L. Graham, P. Frankl, and J. B. Shearer: · 1986
Earlier work this paper cites.
A simple proof of the blowing-up lemma
K. Marton: · 1986
Cited alongside, same era.
Graphoids: a graph-based logic for reasoning about relevance relations
J. Pearl and A. Paz: · 1987
Cited alongside, same era.
On the method of bounded differences
C. McDiarmid: · 1989
Cited alongside, same era.
On Talagrand’s deviation inequalities for product measures
M. Ledoux: · 1995
Cited alongside, same era.
Bounding
K. Marton: · 1996
Cited alongside, same era.
The multiinformation function as a tool for measuring stochastic dependence
M. Studený and J. Vejnarová: · 1998
Cited alongside, same era.
On characterization of entropy function via information inequalities
Networks, matroids, and non-Shannon information inequalities
R. Dougherty, C. Freiling, and K. Zeger: · 2007
Later among the works it cites.
Predictive Information, Multi-Information and Binding Information
S. A. Abdallah and M. D. Plumbley: · 2010
Later among the works it cites.
Large deviations techniques and applications. Second edition
A. Dembo and O. Zeitouni: · 2010
Later among the works it cites.
Information inequalities for joint distributions, with interpretations and applications
M. Madiman and P. Tetali: · 2010
Later among the works it cites.
Projections, entropy and sumsets
P. Balister and B. Bollobás: · 2012
Later among the works it cites.
Entropic inequalities and marginal problems
T. Fritz and R. Chaves: · 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…
Z. Zhang and R. W. Yeung: · 1998
Cited alongside, same era.
Entropy and counting
J. Radhakrishnan: · 2001
Cited alongside, same era.
Real Analysis and Probability
R. M. Dudley: · 2002
Cited alongside, same era.
A new class of non-Shannon-type inequalities for entropies
K. Makarychev, Y. Makarychev, A. Romashchenko, and N. Vereshchagin: · 2002
Cited alongside, same era.
Network information and connected correlations
E. Schneidman, S. Still, M. J. Berry, and W. Bialek: · 2003
Cited alongside, same era.
Secrecy capacities for multiple terminals
I. Csiszár and P. Narayan: · 2004
Cited alongside, same era.
Synergy, redundancy, and multivariate information measures: An experimentalist’s perspective
N. Timme, W. Alford, B. Flecker, and J. M. Beggs: · 2014
Later among the works it cites.
Nonlinear large deviations
S. Chatterjee and A. Dembo: · 2016
Later among the works it cites.
Geometric stability via information theory
D. Ellis, E. Friedgut, G. Kindler, and A. Yehudayoff: · 2016
Later among the works it cites.
Measure concentration and the weak Pinsker property
T. Austin: · 2018
Closest in time.
Information-theoretic thresholds from the cavity method
A. Coja-Oghlan, F. Krzakala, W. Perkins, and L. Zdeborová: · 2018
Closest in time.
Gaussian-width gradient complexity, reverse log-sobolev inequalities and nonlinear large deviations
R. Eldan: · 2018
Closest in time.
Decomposition of mean-field Gibbs distributions into product measures
R. Eldan and R. Gross: · 2018
Closest in time.
The structure of low-complexity Gibbs measures on product spaces
T. Austin: · 2019
Closest in time.
Bethe states of random factor graphs
A. Coja-Oghlan and W. Perkins: · 2019
Closest in time.