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SUMMARY:Inequalities Revisited - Prof. Raymond W. Yeung\, The Chinese Univ
 ersity of Hong Kong
DTSTART:20250919T130000Z
DTEND:20250919T140000Z
UID:TALK235888@talks.cam.ac.uk
CONTACT:Prof. Ramji Venkataramanan
DESCRIPTION:*Please note that this seminar will be held in the Department 
 of Engineering*\n\nIn the past two decades\, researchers in information th
 eory have obtained very fruitful results in the study of the Shannon entro
 py. This study has led to the discovery of a new class of constraints on t
 he Shannon entropy\, called non-Shannon-type inequalities. Intimate connec
 tions between the Shannon entropy and different branches of mathematics in
 cluding finite group theory\, combinatorics\, Kolmogorov complexity\, prob
 ability\, matrix theory\, etc\, have been established. All these discoveri
 es are based on a geometrical interpretation of constraints on the entropy
  function. We assert that the same formality can be applied to the study o
 f inequalities in other branches of mathematics. To illustrate the idea\, 
 we revisit with this formality a few celebrated inequalities: the AM-GM in
 equality\, the Markov inequality\, and the Cauchy-Scharwz inequality. Appl
 ications of this formality has the potential of leading to the discovery o
 f new inequalities in different branches of mathematics.\n\n*Bio*: Raymond
  W. Yeung is a Choh-Ming Li Professor of Information Engineering at The Ch
 inese University of Hong Kong (CUHK). He received his B.S.\, M.Eng.\, and 
 Ph.D. degrees from Cornell University in Electrical Engineering in 1984\, 
 1985\, and 1988\, respectively. Before joining CUHK in 1991\, he was a Mem
 ber of Technical Staff at AT&T Bell Laboratories. He has been serving as C
 o-Director of the Institute of Network Coding at CUHK since 2010. He is th
 e author of the books A First Course in Information Theory (Kluwer Academi
 c/Plenum Publishers\, 2002) and Information Theory and Network Coding (Spr
 inger 2008)\, which have been adopted by over 100 institutions around the 
 world. In spring 2014\, he gave the first MOOC in the world on information
  theory that reached over 60\,000 students to date.\n\nHe is a recipient o
 f the 2005 IEEE Information Theory Society Paper Award\, the Friedrich Wil
 helm Bessel Research Award from the Alexander von Humboldt Foundation in 2
 007\, the 2016 IEEE Eric E. Sumner Award\, the 2018 ACM SIGMOBILE Test-of-
 Time Paper Award\, the 2021 IEEE Richard W. Hamming Medal\, and the 2022 C
 laude E. Shannon Award. In 2015\, he was named an Outstanding Overseas Chi
 nese Information Theorist by the China Information Theory Society.  He is 
 a Fellow of the IEEE\, Hong Kong Academy of Engineering Sciences\, Hong Ko
 ng Institution of Engineers\, and the US National Academy of Inventors.\n
LOCATION:James Dyson Building Seminar Room\, Department of Engineering
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