<html><head><style type='text/css'>p { margin: 0; }</style></head><body><div style='font-family: times new roman,new york,times,serif; font-size: 12pt; color: #000000'>Prezados boa tarde!<br><br>Na próxima sexta o seminário de
Probabilidade e Sistemas Complexos do ICMC-USP e UFSCar será realizado como usualmente, 16h00, no Auditório Fávaro do ICMC. Segue
a informação da palestra e peço para vocês divulgar a possíveis interessados. <br><br>The weighted Gibbs inequality and its consequences<b><br>Speaker: Salimeh Yasaei Sekeh (UFScar)</b>
<br><br>Date: 03/10/2014<br>Time: 16h00<br>Room: 4-111<b><br><br>Abstract: </b>In various applications of Information Theory,
different events/outcomes may depend upon experiments goal or be
influenced by some qualitative characteristics of the physical system
which should be taken into account. That is, they may have different
utilities (or weights). Belis and Guiasu (1968) introduced weighted
uncertainty by ascribing to each out-come a non-negative weight which
measures its importance.<br><br>The purpose of this talk is to extend the well-known Gibbs inequality to
the case of weighted entropies with weighted function φ. A number of
inequalities for weighted entropies is proposed, mirroring properties of
a standard (Shannon) entropy and related quantities. This is a joint
work with Yuri Suhov, Department of Mathematics, Penn State University,
USA; DPMMS, University of Cambridge, UK<br><br>Keywords: weighted entropy, weighted conditional entropy, weighted
relative entropy, weighted mutual entropy, weighted Gibbs inequality,
convexity, concavity.
<br><br><p>Lembrando também que esta e outras informações de nossos seminários
está disponível no http://www.icmc.usp.br/pessoas/pablor/seminar.html</p><p><br></p><p>Um abraço,<br></p><br><div><span name="x"></span>Pablo Martín Rodríguez<br>Professor Doutor (MS-3)<br>Department of Applied Mathematics and Statistics, ICMC-USP<br>C.P. 668 - São Carlos, SP, Brazil - CEP 13560-970<span name="x"></span><br></div><br></div></body></html>