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Giuseppe Savaré

dblp:45/9308 · DBLP profile ↗
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1ranked-venue papers
1as first author
0since 2021 · last 2014
0000-0002-0104-4158ORCID · reported

Domains — the database's venue-derived domains; a paper can count in several

Theory of computation · 1 · 1 first-author

Expertise — from the expertise taxonomy: the topics of the expert's papers under the CCF categories. A weight counts papers with recency: 1 for a paper about the topic, 0.3 when the topic is its context, halved every five years.

Theoretical computer science
1 paper
Information theory · 93% Mathematical optimization · 7%

Topics — the 4 heaviest of 5, each with the papers that count most for it

TopicWeightPapersLastEvidence papers
Information theory
concavity		 0.212014
The Concavity of Rényi Entropy Power · IEEE Trans. Inf. Theory 2014
Information theory › information measures › entropy
entropy power		 0.212014
The Concavity of Rényi Entropy Power · IEEE Trans. Inf. Theory 2014
Information theory › information measures › entropy › entropy inequalities
entropy power inequality		 0.212014
The Concavity of Rényi Entropy Power · IEEE Trans. Inf. Theory 2014
Information theory › information measures › entropy › generalized entropy
rényi entropy		 0.212014
The Concavity of Rényi Entropy Power · IEEE Trans. Inf. Theory 2014

Methods — techniques the papers use, named apart from their topics

nonlinear heat equation analysis · 0.2
YearPublicationVenuePosition
2014 The Concavity of Rényi Entropy Power
abstract
We associate to the pth Rényi entropy a definition of entropy power, which is the natural extension of Shannon's entropy power and exhibits a nice behavior along solutions to the p-nonlinear heat equation in Rn. We show that the Rényi entropy power of general probability densities solving such equations is always a concave function of time, whereas it has a linear behavior in correspondence to the Barenblatt source-type solutions. This result extends Costa's concavity inequality for Shannon's entropy power to Rényi entropies.
Giuseppe Savaré, Giuseppe Toscani
 IEEE Trans. Inf. Theory1