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SUMMARY:Weighted information and weighted entropy  - I Stuhl (Denver/Debre
 cen) and Y Suhov (Penn State/Cambridge)
DTSTART:20160801T130000Z
DTEND:20160801T140000Z
UID:TALK66919@talks.cam.ac.uk
CONTACT:HoD Secretary\, DPMMS
DESCRIPTION:The talk will be about the weighted information (WI) and weigh
 ted\nentropy (WE) where outcomes of the same probability contribute\naccor
 ding to their weight/utility. Think of two events: a tsunami\nsomewhere fa
 r away and a cracking tree in a garden next door. Both are rare and hence 
 quite informative (say they convey an equal amount of info). But they clea
 rly are of different importance\nto us. The emerging concepts of WI/WE hav
 e some peculiar properties\;\nthis is what we try to explore. Math results
  include generalisations\nof Ky Fan and Hadamard inequalities and extensio
 ns of the\nShannon-McMillan-Breiman theorem.\n\nNo preliminary knowledge o
 f Probability/Info Theory will be assumed. 
LOCATION:MR12\, CMS\, Wilberforce Road\, Cambridge\, CB3 0WB
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