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Equivocations, Exponents, and Second-Order Coding Rates Under Various Rényi Information Measures
2017 Edition, Volume 63, February 1, 2017 - IEEE - Institute of Electrical and Electronics Engineers, Inc.

We evaluate the asymptotics of equivocations, their exponents as well as their second-order coding rates under various Rényi information measures. Specifically, we consider the effect of applying a hash function on a source...

Equivocations and exponents under various Rényi information measures
2015 Edition, June 1, 2015 - IEEE - Institute of Electrical and Electronics Engineers, Inc.

In this paper, we evaluate the asymptotics of equivocations and their exponents. Specifically, we consider the effect of applying a hash function on a source and we quantify the level of non-uniformity and dependence of the compressed source from another...

Universally attainable error and information exponents, and equivocation rate for the broadcast channels with confidential messages
2011 Edition, September 1, 2011 - IEEE - Institute of Electrical and Electronics Engineers, Inc.

We show universally attainable exponents for the decoding error and the mutual information and universally attainable equivocation rates for the conditional entropy for the broadcast channels with confidential messages. The error exponents are the...

Analysis of Remaining Uncertainties and Exponents under Various Conditional Rényi Entropies
Volume PP - IEEE - Institute of Electrical and Electronics Engineers, Inc.

We analyze the asymptotics of the normalized remaining uncertainty of a source when a compressed or hashed version of it and correlated side-information is observed. For this system, commonly known as Slepian-Wolf source coding, we establish the optimal (minimum) rate of...

Operational Interpretation of Rényi Information Measures via Composite Hypothesis Testing Against Product and Markov Distributions
Volume PP - IEEE - Institute of Electrical and Electronics Engineers, Inc.

We revisit the problem of asymmetric binary hypothesis testing against a composite alternative hypothesis. We introduce a general framework to treat such problems when the alternative hypothesis adheres to certain axioms. In this case we find the threshold rate, the optimal error and...

Wyner’s Common Information under Rényi Divergence Measures
Volume PP - IEEE - Institute of Electrical and Electronics Engineers, Inc.

We study a generalized version of Wyner's common information problem (also coined the distributed source simulation problem). The original common information problem consists in understanding the minimum rate of the common input to independent processors to generate an...

Operational Interpretation of Rényi Information Measures via Composite Hypothesis Testing Against Product and Markov Distributions
2018 Edition, Volume 64, February 1, 2018 - IEEE - Institute of Electrical and Electronics Engineers, Inc.

We revisit the problem of asymmetric binary hypothesis testing against a composite alternative hypothesis. We introduce a general framework to treat such problems when the alternative hypothesis adheres to certain axioms. In this case, we find the threshold rate, the optimal error and...

Quantum Wiretap Channel With Non-Uniform Random Number and Its Exponent and Equivocation Rate of Leaked Information
2015 Edition, Volume 61, October 1, 2015 - IEEE - Institute of Electrical and Electronics Engineers, Inc.

A usual code for quantum wiretap channel requires an auxiliary random variable subject to the perfect uniform distribution. However, it is difficult to prepare such an auxiliary random variable. We propose a code that requires only an auxiliary random variable subject to a non-uniform...

Wyner's Common Information under Renyi Divergence Measures
2018 Edition, June 1, 2018 - IEEE - Institute of Electrical and Electronics Engineers, Inc.

We study a generalized version of Wyner's common information problem (also coined the distributed sources simulation problem). The original common information problem is to characterize the minimum rate of the common input to independent processors to generate an approximation...

Smoothing Brascamp-Lieb Inequalities and Strong Converses of Coding Theorems
Volume PP - IEEE - Institute of Electrical and Electronics Engineers, Inc.

The Brascamp-Lieb inequality in functional analysis can be viewed as a measure of the "uncorrelatedness" of a joint probability distribution. We define the smooth Brascamp-Lieb (BL) divergence as the infimum of the best constant in the Brascamp-Lieb inequality under a perturbation of...

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