Divergence Measures
Data science, information theory, probability theory, statistical learning and other related disciplines greatly benefit from non-negative measures of dissimilarity between pairs of probability measures. These are known as divergence measures, and exploring their mathematical foundations and diverse...
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| Формат: | Online |
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| Язык: | английский |
| Опубликовано: |
MDPI - Multidisciplinary Digital Publishing Institute
2022
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| Предметы: | |
| Online-ссылка: | ONIX_20220621_9783036543321_2 |
| Метки: |
Нет меток, Требуется 1-ая метка записи!
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| _version_ | 1863742872170266624 |
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| collection | Directory of Open Access Books |
| description | Data science, information theory, probability theory, statistical learning and other related disciplines greatly benefit from non-negative measures of dissimilarity between pairs of probability measures. These are known as divergence measures, and exploring their mathematical foundations and diverse applications is of significant interest. The present Special Issue, entitled “Divergence Measures: Mathematical Foundations and Applications in Information-Theoretic and Statistical Problems”, includes eight original contributions, and it is focused on the study of the mathematical properties and applications of classical and generalized divergence measures from an information-theoretic perspective. It mainly deals with two key generalizations of the relative entropy: namely, the R_ényi divergence and the important class of f -divergences. It is our hope that the readers will find interest in this Special Issue, which will stimulate further research in the study of the mathematical foundations and applications of divergence measures. |
| format | Online |
| id | doab-20.500.12854ir-84568 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2022 |
| publishDateRange | 2022 |
| publishDateSort | 2022 |
| publisher | MDPI - Multidisciplinary Digital Publishing Institute |
| publisherStr | MDPI - Multidisciplinary Digital Publishing Institute |
| record_format | ojs |
| spelling | doab-20.500.12854ir-845682024-03-28T03:32:26Z Divergence Measures Sason, Igal Bregman divergence f-divergence Jensen–Bregman divergence Jensen diversity Jensen–Shannon divergence capacitory discrimination Jensen–Shannon centroid mixture family information geometry difference of convex (DC) programming conditional Rényi divergence horse betting Kelly gambling Rényi divergence Rényi mutual information relative entropy chi-squared divergence f-divergences method of types large deviations strong data–processing inequalities information contraction maximal correlation Markov chains information inequalities mutual information Rényi entropy Carlson–Levin inequality information measures hypothesis testing total variation skew-divergence convexity Pinsker’s inequality Bayes risk statistical divergences minimum divergence estimator maximum likelihood bootstrap conditional limit theorem Bahadur efficiency α-mutual information Augustin–Csiszár mutual information data transmission error exponents dimensionality reduction discriminant analysis statistical inference n/a thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science Data science, information theory, probability theory, statistical learning and other related disciplines greatly benefit from non-negative measures of dissimilarity between pairs of probability measures. These are known as divergence measures, and exploring their mathematical foundations and diverse applications is of significant interest. The present Special Issue, entitled “Divergence Measures: Mathematical Foundations and Applications in Information-Theoretic and Statistical Problems”, includes eight original contributions, and it is focused on the study of the mathematical properties and applications of classical and generalized divergence measures from an information-theoretic perspective. It mainly deals with two key generalizations of the relative entropy: namely, the R_ényi divergence and the important class of f -divergences. It is our hope that the readers will find interest in this Special Issue, which will stimulate further research in the study of the mathematical foundations and applications of divergence measures. 2022-06-21T09:06:09Z 2022-06-21T09:06:09Z 2022 book ONIX_20220621_9783036543321_2 9783036543321 9783036543314 https://directory.doabooks.org/handle/20.500.12854/84568 eng application/octet-stream Attribution 4.0 International https://mdpi.com/books/pdfview/book/5550 https://mdpi.com/books/pdfview/book/5550 MDPI - Multidisciplinary Digital Publishing Institute 10.3390/books978-3-0365-4331-4 10.3390/books978-3-0365-4331-4 46cabcaa-dd94-4bfe-87b4-55023c1b36d0 9783036543321 9783036543314 256 Basel open access |
| spellingShingle | Bregman divergence f-divergence Jensen–Bregman divergence Jensen diversity Jensen–Shannon divergence capacitory discrimination Jensen–Shannon centroid mixture family information geometry difference of convex (DC) programming conditional Rényi divergence horse betting Kelly gambling Rényi divergence Rényi mutual information relative entropy chi-squared divergence f-divergences method of types large deviations strong data–processing inequalities information contraction maximal correlation Markov chains information inequalities mutual information Rényi entropy Carlson–Levin inequality information measures hypothesis testing total variation skew-divergence convexity Pinsker’s inequality Bayes risk statistical divergences minimum divergence estimator maximum likelihood bootstrap conditional limit theorem Bahadur efficiency α-mutual information Augustin–Csiszár mutual information data transmission error exponents dimensionality reduction discriminant analysis statistical inference n/a thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science Divergence Measures |
| title | Divergence Measures |
| title_full | Divergence Measures |
| title_fullStr | Divergence Measures |
| title_full_unstemmed | Divergence Measures |
| title_short | Divergence Measures |
| title_sort | divergence measures |
| topic | Bregman divergence f-divergence Jensen–Bregman divergence Jensen diversity Jensen–Shannon divergence capacitory discrimination Jensen–Shannon centroid mixture family information geometry difference of convex (DC) programming conditional Rényi divergence horse betting Kelly gambling Rényi divergence Rényi mutual information relative entropy chi-squared divergence f-divergences method of types large deviations strong data–processing inequalities information contraction maximal correlation Markov chains information inequalities mutual information Rényi entropy Carlson–Levin inequality information measures hypothesis testing total variation skew-divergence convexity Pinsker’s inequality Bayes risk statistical divergences minimum divergence estimator maximum likelihood bootstrap conditional limit theorem Bahadur efficiency α-mutual information Augustin–Csiszár mutual information data transmission error exponents dimensionality reduction discriminant analysis statistical inference n/a thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science |
| topic_facet | Bregman divergence f-divergence Jensen–Bregman divergence Jensen diversity Jensen–Shannon divergence capacitory discrimination Jensen–Shannon centroid mixture family information geometry difference of convex (DC) programming conditional Rényi divergence horse betting Kelly gambling Rényi divergence Rényi mutual information relative entropy chi-squared divergence f-divergences method of types large deviations strong data–processing inequalities information contraction maximal correlation Markov chains information inequalities mutual information Rényi entropy Carlson–Levin inequality information measures hypothesis testing total variation skew-divergence convexity Pinsker’s inequality Bayes risk statistical divergences minimum divergence estimator maximum likelihood bootstrap conditional limit theorem Bahadur efficiency α-mutual information Augustin–Csiszár mutual information data transmission error exponents dimensionality reduction discriminant analysis statistical inference n/a thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science |
| url | ONIX_20220621_9783036543321_2 |