Results 21 to 30 of about 564 (79)

On Hidden Markov Processes with Infinite Excess Entropy

, 2012
We investigate stationary hidden Markov processes for which mutual information between the past and the future is infinite. It is assumed that the number of observable states is finite and the number of hidden states is countably infinite.
Dębowski, Łukasz
core   +1 more source

An entropic uncertainty principle for positive operator valued measures

, 2011
Extending a recent result by Frank and Lieb, we show an entropic uncertainty principle for mixed states in a Hilbert space relatively to pairs of positive operator valued measures that are independent in some sense.
D. Petz, E.B. Davies, J. Dolbeault, L. Erdős, M. Rumin, M.A. Nielsen, M.D. Choi, Michel Rumin, R. Bhatia, R.S. Strichartz   +9 more
core   +1 more source

Fisher Information inequalities and the Central Limit Theorem

, 2003
We give conditions for an O(1/n) rate of convergence of Fisher information and relative entropy in the Central Limit Theorem. We use the theory of projections in L2 spaces and Poincare inequalities, to provide a better understanding of the decrease in ...
Barron, Andrew, Johnson, Oliver
core   +1 more source

Optimal Concentration of Information Content For Log-Concave Densities

, 2015
An elementary proof is provided of sharp bounds for the varentropy of random vectors with log-concave densities, as well as for deviations of the information content from its mean.
A. Prékopa, A. Vaart van der, B. Klartag, B. Klartag, B. Klartag, C. Borell, D. Cordero-Erausquin, G. Bennett, G. Hargé, J.A. Wellner, L. Wang, M. Fradelizi, O. Guédon, R. Eldan, S. Bobkov, S. Bobkov, S. Bobkov, S. Boyd, V.H. Nguyen   +18 more
core   +1 more source

Information-Theoretic Properties of the Half-Line Coulomb Potential

, 2009
The half-line one-dimensional Coulomb potential is possibly the simplest D-dimensional model with physical solutions which has been proved to be successful to describe the behaviour of Rydberg atoms in external fields and the dynamics of surface-state ...
Dehesa, J. S., Omiste, J. J., Yanez, R. J.   +2 more
core   +1 more source

An alternate measure of the cumulative residual Sharma-Taneja-Mittal entropy

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
We define a new alternate measure of the cumulative residual Sharma-Taneja-Mittal entropy. For this measure, there are given upper and lower bounds, is introduced a consistent test based on the uniform distribution and some concrete numerical examples ...
Sfetcu Răzvan-Cornel, Robe-Voinea Elena-Graµiela, ŞErban Florentin   +2 more
doaj   +1 more source

Complexities of information sources. [PDF]

J Appl Stat, 2023
Sayyari Y, Molaei MR, Mehrpooya A.
europepmc   +1 more source

Logical Entropy of Information Sources. [PDF]

Entropy (Basel), 2022
Xu P, Sayyari Y, Butt SI.
europepmc   +1 more source

Kernel Estimation of Cumulative Residual Tsallis Entropy and Its Dynamic Version under ρ-Mixing Dependent Data. [PDF]

Entropy (Basel), 2021
Irshad MR, Maya R, Buono F, Longobardi M.   +3 more
europepmc   +1 more source

Refined Young Inequality and Its Application to Divergences. [PDF]

Entropy (Basel), 2021
Furuichi S, Minculete N.
europepmc   +1 more source