32 citations · 33 across the 3 of their papers we have counts for
3 papers
math.OC2016
On the Maximum Entropy of a Sum with Constraints and Channel Capacity Applications
Francisco J. Piera
We study the maximum achievable differential entropy at the output of a system assigning to each input X the sum X+N, with N a given noise with probability law absolutely continuou…
cs.IT2007★ 1 cited
On the Relationship between Mutual Information and Minimum Mean-Square Errors in Stochastic Dynamical Systems
Francisco J. Piera, Patricio Parada
We consider a general stochastic input-output dynamical system with output evolving in time as the solution to a functional coefficients, Itô's stochastic differential equation, ex…
cs.IT2007★ 32 cited
On Convergence Properties of Shannon Entropy
Francisco J. Piera, Patricio Parada
Convergence properties of Shannon Entropy are studied. In the differential setting, it is shown that weak convergence of probability measures, or convergence in distribution, is no…