engleski

The concavity of generalized entropy powers

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).

entropy power, Sharma-Mittal entropy, concavity, L^2 -Wasserstein gradient flow

nije evidentirano