Name
Abstract | ||
|---|---|---|
Investigation of a relationship between the mutual information and variational distance, started in Pinsker paper [1], where an upper bound for the mutual information via variational distance was obtained, is here continued. We present a simple lower bound which is optimal or asymptotically optimal in some cases. An uniform upper bound for the mutual information via variational distance is also derived for random variables with a finite number of values. For such random variables, the asymptotic behaviour of the maximum of mutual information is also investigated in the case where the variational distance tends to zero or to its maximum value. |
Year | DOI | Venue |
|---|---|---|
2007 | 10.1109/ISIT.2007.4557078 | 2007 IEEE International Symposium on Information Theory |
Keywords | Field | DocType |
mutual information,variational distance,random variables,asymptotic behaviour,entropy | Combinatorics,Quantum mutual information,Upper and lower bounds,Distance correlation,Variation of information,Mutual information,Conditional entropy,Total correlation,Conditional mutual information,Mathematics | Conference |
ISSN | ISBN | Citations |
2157-8095 | 978-1-4244-1397-3 | 0 |
PageRank | References | Authors |
0.34 | 1 | 1 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Vyacheslav V. Prelov | 1 | 145 | 29.59 |