BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:Entropy comparison inequalities with applications to additive nois
 e channels - Dr Lampros Gavalakis\, University of Cambridge
DTSTART:20250319T140000Z
DTEND:20250319T150000Z
UID:TALK224839@talks.cam.ac.uk
CONTACT:Prof. Ramji Venkataramanan
DESCRIPTION:Motivated by a question of Eskenazis\, Nayar and Tkocz (2018)\
 , which remains open\, we will present an inequality involving the entropy
  of a sum of two i.i.d. random variables when one is replaced by a Gaussia
 n with the same variance.  This inequality involves a quantity known as en
 tropic doubling\, which is small when the Entropy Power Inequality (EPI) i
 s close to equality. We will then discuss the question of stability in the
  EPI and present a qualitative stability result in the weak sense.   Furth
 ermore\, by extending our inequality to independent random variables\, we 
 will show  how we can improve the "half-a-bit" bound of Zamir and Erez (20
 04)\, related to the robustness of Gaussian codebooks\, in the low capacit
 y regime.  Finally\, we will present extensions to MAC and MIMO channels w
 ith general additive noise. \n\nThe talk is based on joint work with Ioann
 is Kontoyiannis and Mokshay Madiman. 
LOCATION:MR5\, CMS Pavilion A
END:VEVENT
END:VCALENDAR