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SUMMARY:Zero-Error Communications over Modulo-Additive Noise Channels with
  Assistance - Prof. Amos Lapidoth\, ETH Zurich
DTSTART:20251105T140000Z
DTEND:20251105T150000Z
UID:TALK239029@talks.cam.ac.uk
CONTACT:Prof. Ramji Venkataramanan
DESCRIPTION:Calculating the zero-error capacity of noisy channels is notor
 iously difficult and is a feat that has not been accomplished even for the
  Heptagon channel\, a channel whose output is the mod-7 sum of its input a
 nd noise\, with the latter taking on the values 0 and 1 equiprobably. This
  talk will not solve this problem. Instead\, I will\nconsider this problem
  (and its extensions to general modulo-additive noise channels) in the pre
 sence of a rate-limited helper that observes the noise noncausally and can
  describe it to the encoder or the decoder.\n\nA complete solution of the 
 zero-error capacity with a helper will be presented in the presence of fee
 dback or when the alphabet is a prime number (as for the Heptagon channel)
 . It will be shown that zero-rate help can outperform no-help and even fee
 dback. Moreover\, unlike the\nzero-error capacity without a helper\, the z
 ero-error helper capacity can be positive yet smaller than one bit.\n\nJoi
 nt work with Yiming Yan.\n\n*Bio*: Amos Lapidoth received his Ph.D. degree
  in Electrical Engineering from Stanford University in 1995. In the years 
 1995-1999 he was an Assistant and Associate Professor at the department of
  Electrical Engineering and Computer Science at the Massachusetts Institut
 e of Technology (MIT) and was the KDD Career Development Associate Profess
 or in Communications and Technology. Since 1999\, he has been Professor of
  Information Theory at ETH Zurich.\n
LOCATION:MR5\, CMS Pavilion A
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