Data processing inequality

The Data processing inequality is an information theoretic concept which states that the information content of a signal cannot be increased via a… (More)
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1997-2017
051019972017

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2016
2016
We study the tradeoff between the statistical error and communication cost of distributed statistical estimation problems in high… (More)
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2014
2014
In this paper we provide the correct tight constant to a data-processing inequality claimed by Erkip and Cover. The correct… (More)
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2014
2014
We pose the following extremal conjecture: Let X,Y be jointly Gaussian random variables with linear correlation ρ. For any random… (More)
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2014
2014
Prediction in environmental systems, such as hydrological streamflow prediction, is a challenging task. Although on a small scale… (More)
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Highly Cited
2013
Highly Cited
2013
In this paper we provide a new geometric characterization of the Hirschfeld-Gebelein-Rényi maximal correlation of a pair of… (More)
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2013
2013
An intuitive outer bound for the multiterminal source coding problem is given. The proposed bound explicitly couples the rate… (More)
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2013
2013
Sandwiched (quantum) α-Rényi divergence has been recently defined in the independent works of Wilde et al. (arXiv:1306.1586) and… (More)
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2012
2012
Quantum data processing inequality bounds the set of bipartite states that can be generated by two far apart parties under local… (More)
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2011
2011
In the distributed coding of correlated sources, the problem of characterizing the joint probability distribution of a pair of… (More)
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2003
2003
  • Mark D. McDonnella, Nigel G. Stocksb, Charles E. M. Pearcec, Derek Abbotta
  • 2003
The data processing inequality of information theory states that given random variables X , Y and Z that form a Markov chain in… (More)
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