Estimating mutual information from independent identically distributed samples drawn from
an unknown joint density function is a basic statistical problem of broad interest with …

We establish the undecidability of conditional affine information inequalities, the
undecidability of the conditional independence implication problem with a constraint that …

This paper addresses the correspondence between linear inequalities for Shannon entropy
and differential entropy for sums of independent group-valued random variables. We show …

This paper presents a joint typicality framework for encoding and decoding nested linear
codes in multi-user networks. This framework provides a new perspective on compute …

This paper presents a joint typicality framework for encoding and decoding nested linear
codes for multi-user networks. This framework provides a new perspective on compute …

As the era of big data arises, people get access to numerous amounts of multi-view data.
Measuring, discovering and understanding the underlying relationship among different …

Entropy inequalities are very important in information theory and they play a crucial role in
various communication-theoretic problems, for example, in the study of the degrees of …