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cs.IT2006★ 2 cited
Nonextensive Pythagoras' Theorem
Ambedkar Dukkipati
Kullback-Leibler relative-entropy, in cases involving distributions resulting from relative-entropy minimization, has a celebrated property reminiscent of squared Euclidean distanc…
math-ph2006★ 2 cited
Gelfand-Yaglom-Perez Theorem for Generalized Relative Entropies
Ambedkar Dukkipati, Shalabh Bhatnagar, M Narasimha Murty
The measure-theoretic definition of Kullback-Leibler relative-entropy (KL-entropy) plays a basic role in the definitions of classical information measures. Entropy, mutual informat…
cs.IT2006
On Measure Theoretic definitions of Generalized Information Measures and Maximum Entropy Prescriptions
Ambedkar Dukkipati, M Narasimha Murty, Shalabh Bhatnagar
Though Shannon entropy of a probability measure , defined as $- \int_{X} \frac{\ud P}{\ud μ} \ln \frac{\ud P}{\udμ} \ud μ$ on a measure space , does not qua…