Pregled bibliografske jedinice broj: 1204914
The concavity of generalized entropy powers
The concavity of generalized entropy powers // Ieee transactions on information theory (2022) doi:10.1109/TIT.2022.3181379 (znanstveni, online first)
CROSBI ID: 1204914 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
The concavity of generalized entropy powers
Autori
Bukal, Mario
Vrsta, podvrsta
Radovi u časopisima,
znanstveni
Izvornik
Ieee transactions on information theory (2022)
Status rada
Online first
Ključne riječi
entropy power, Sharma-Mittal entropy, concavity, L^2 -Wasserstein gradient flow
Sažetak
In this note we introduce a new family of entropy powers which are related to generalized entropies, called Sharma-Mittal entropies, and we prove their concavity along diffusion processes generated by L^2-Wasserstein gradient flows of corresponding entropy functionals. This result extends the result of Savare and Toscani on the concavity of Renyi entropy powers (IEEE Trans. Inf. Theory, 2014) and reveals a connection to Renyi entropy power inequalities by Bobkov and Marsiglietti (IEEE Trans. Inf. Theory, 2017).
Izvorni jezik
Engleski
Znanstvena područja
Matematika, Informacijske i komunikacijske znanosti
POVEZANOST RADA
Projekti:
HRZZ-UIP-2017-05-7249 - Matematička analiza i numeričke metode za višefazne sustave vođene difuzijom (MANDphy) (Bukal, Mario, HRZZ ) ( CroRIS)
Ustanove:
Fakultet elektrotehnike i računarstva, Zagreb
Profili:
Mario Bukal
(autor)
