Majorization inequalities for strongly f-divergences with applications
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| Title: | Majorization inequalities for strongly f-divergences with applications |
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| Authors: | Ivelić Bradanović, Slavica |
| Publisher Information: | 2023. |
| Publication Year: | 2023 |
| Subject Terms: | strongly convex functions, Csizar f-divergences, majorization inequalities |
| Description: | Nonnegative measures of dissimilarity between pairs of probability measures are known as divergence measures. Numerous applications of these concept in different fields such as probability theory, statistics, information theory, signal processing etc. could be found in literature. One important class of divergence measures is defined by means of convex functions f , known as f-divergences or Csisz ́ar f-divergences. Recently, the concept of f-divergences for strongly convex functions with stronger properties is introduced. We derive new inequalities for strongly f-divergences and as outcome we obtain stronger estimates for some well known divergences as the Kullback-Leibler divergence, χ2-divergence, Hellinger divergence, Bhattacharya distance and Jeffreys distance. |
| Document Type: | Conference object |
| Accession Number: | edsair.dris...01492..d700a55b070e58039723d2c248e9b2ea |
| Database: | OpenAIRE |
Nájsť tento článok vo Web of Science | Abstract: | Nonnegative measures of dissimilarity between pairs of probability measures are known as divergence measures. Numerous applications of these concept in different fields such as probability theory, statistics, information theory, signal processing etc. could be found in literature. One important class of divergence measures is defined by means of convex functions f , known as f-divergences or Csisz ́ar f-divergences. Recently, the concept of f-divergences for strongly convex functions with stronger properties is introduced. We derive new inequalities for strongly f-divergences and as outcome we obtain stronger estimates for some well known divergences as the Kullback-Leibler divergence, χ2-divergence, Hellinger divergence, Bhattacharya distance and Jeffreys distance. |
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