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SUMMARY:Refinement of Two Fundamental Tools in Information Theory  
DTSTART:20110624T101500
DTSTAMP:20260601T161910Z
UID:d9f2ffe7c0123a17a4ca833a2003090283968f47dee7359e4d1eab51
CATEGORIES:Conferences - Seminars
DESCRIPTION:Prof. Raymond Yeung\, The Chinese University of Hong Kong\nIn 
 Shannon's original paper and textbooks in information theory\, the entropy
  of a discrete random variable is assumed or shown to be a continuous func
 tion. However\, we found that all Shannon's information measures including
  entropy and mutual information are discontinuous in the general case that
  the random variables take values in possibly countably infinite alphabets
 . This fundamental property explains why strong typicality and Fano's ineq
 uality can only be applied on finite alphabets. Note that strong typicalit
 y and Fano's inequality have wide applications in information theory so th
 at it is important to extend them in full generality. In this talk\, detai
 ls about the discontinuity of Shannon's information measures will be given
 . We will show how these results lead to a new definition of typicality an
 d an inequality tighter than Fano's inequality. Applications in network co
 ding and information theoretic security will be discussed.  Prof. Yeung's 
 homepage
LOCATION:BC 01 https://plan.epfl.ch/?room==BC%2001
STATUS:CONFIRMED
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