{"author":[{"first_name":"Amedeo Roberto","full_name":"Esposito, Amedeo Roberto","last_name":"Esposito","id":"9583e921-e1ad-11ec-9862-cef099626dc9"},{"first_name":"Michael","last_name":"Gastpar","full_name":"Gastpar, Michael"},{"first_name":"Ibrahim","last_name":"Issa","full_name":"Issa, Ibrahim"}],"main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2405.08352","open_access":"1"}],"_id":"20081","day":"11","quality_controlled":"1","arxiv":1,"publication_status":"epub_ahead","doi":"10.1109/TIT.2025.3587340","month":"07","date_created":"2025-07-27T22:01:26Z","article_processing_charge":"No","status":"public","year":"2025","type":"journal_article","language":[{"iso":"eng"}],"external_id":{"arxiv":["2405.08352"]},"publisher":"Institute of Electrical and Electronics Engineers","OA_type":"green","publication_identifier":{"eissn":["1557-9654"],"issn":["0018-9448"]},"date_published":"2025-07-11T00:00:00Z","scopus_import":"1","article_type":"original","OA_place":"repository","oa_version":"Preprint","citation":{"short":"A.R. Esposito, M. Gastpar, I. Issa, IEEE Transactions on Information Theory (2025).","ieee":"A. R. Esposito, M. Gastpar, and I. Issa, “Sibson α-mutual information and its variational representations,” <i>IEEE Transactions on Information Theory</i>. Institute of Electrical and Electronics Engineers, 2025.","apa":"Esposito, A. R., Gastpar, M., &#38; Issa, I. (2025). Sibson α-mutual information and its variational representations. <i>IEEE Transactions on Information Theory</i>. Institute of Electrical and Electronics Engineers. <a href=\"https://doi.org/10.1109/TIT.2025.3587340\">https://doi.org/10.1109/TIT.2025.3587340</a>","mla":"Esposito, Amedeo Roberto, et al. “Sibson α-Mutual Information and Its Variational Representations.” <i>IEEE Transactions on Information Theory</i>, Institute of Electrical and Electronics Engineers, 2025, doi:<a href=\"https://doi.org/10.1109/TIT.2025.3587340\">10.1109/TIT.2025.3587340</a>.","chicago":"Esposito, Amedeo Roberto, Michael Gastpar, and Ibrahim Issa. “Sibson α-Mutual Information and Its Variational Representations.” <i>IEEE Transactions on Information Theory</i>. Institute of Electrical and Electronics Engineers, 2025. <a href=\"https://doi.org/10.1109/TIT.2025.3587340\">https://doi.org/10.1109/TIT.2025.3587340</a>.","ama":"Esposito AR, Gastpar M, Issa I. Sibson α-mutual information and its variational representations. <i>IEEE Transactions on Information Theory</i>. 2025. doi:<a href=\"https://doi.org/10.1109/TIT.2025.3587340\">10.1109/TIT.2025.3587340</a>","ista":"Esposito AR, Gastpar M, Issa I. 2025. Sibson α-mutual information and its variational representations. IEEE Transactions on Information Theory."},"abstract":[{"lang":"eng","text":"Information measures can be constructed from Rényi divergences much like mutual information from Kullback-Leibler divergence. One such information measure is known as Sibson α-mutual information and has received renewed attention recently in several contexts: concentration of measure under dependence, statistical learning, hypothesis testing, and estimation theory. In this paper, we survey and extend the state of the art. In particular, we introduce variational representations for Sibson α-mutual information and employ them in each described context to derive novel results. Namely, we produce generalized Transportation-Cost inequalities and Fano-type inequalities. We also present an overview of known applications, spanning from learning theory and Bayesian risk to universal prediction."}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","oa":1,"publication":"IEEE Transactions on Information Theory","date_updated":"2025-07-31T07:47:57Z","department":[{"_id":"MaMo"}],"title":"Sibson α-mutual information and its variational representations"}