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SUMMARY:Inequalities Revisited - Prof. Raymond W. Yeung\, The Chinese Univ
 ersity of Hong Kong
DTSTART:20250919T130000Z
DTEND:20250919T140000Z
UID:TALK235885@talks.cam.ac.uk
CONTACT:Prof. Ramji Venkataramanan
DESCRIPTION:In the past two decades\, researchers in information theory ha
 ve obtained very fruitful results in the study of the Shannon entropy. Thi
 s study has led to the discovery of a new class of constraints on the Shan
 non entropy\, called non-Shannon-type inequalities. Intimate connections b
 etween the Shannon entropy and different branches of mathematics including
  finite group theory\, combinatorics\, Kolmogorov complexity\, probability
 \, matrix theory\, etc\, have been established. All these discoveries are 
 based on a geometrical interpretation of constraints on the entropy functi
 on. We assert that the same formality can be applied to the study of inequ
 alities in other branches of mathematics. To illustrate the idea\, we revi
 sit with this formality a few celebrated inequalities: the AM-GM inequalit
 y\, the Markov inequality\, and the Cauchy-Scharwz inequality. Application
 s of this formality has the potential of leading to the discovery of new i
 nequalities in different branches of mathematics.\n\n*Bio*: Raymond W. Yeu
 ng is a Choh-Ming Li Professor of Information Engineering at The Chinese U
 niversity of Hong Kong (CUHK). He received his B.S.\, M.Eng.\, and Ph.D. d
 egrees from Cornell University in Electrical Engineering in 1984\, 1985\, 
 and 1988\, respectively. Before joining CUHK in 1991\, he was a Member of 
 Technical Staff at AT&T Bell Laboratories. He has been serving as Co-Direc
 tor of the Institute of Network Coding at CUHK since 2010. He is the autho
 r of the books A First Course in Information Theory (Kluwer Academic/Plenu
 m Publishers\, 2002) and Information Theory and Network Coding (Springer 2
 008)\, 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 of the 2
 005 IEEE Information Theory Society Paper Award\, the Friedrich Wilhelm Be
 ssel Research Award from the Alexander von Humboldt Foundation in 2007\, t
 he 2016 IEEE Eric E. Sumner Award\, the 2018 ACM SIGMOBILE Test-of-Time Pa
 per Award\, the 2021 IEEE Richard W. Hamming Medal\, and the 2022 Claude E
 . Shannon Award. In 2015\, he was named an Outstanding Overseas Chinese In
 formation Theorist by the China Information Theory Society.  He is a Fello
 w of the IEEE\, Hong Kong Academy of Engineering Sciences\, Hong Kong Inst
 itution of Engineers\, and the US National Academy of Inventors.\n
LOCATION: Cambridge University Engineering Department\, JDB Seminar Room
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