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Applications of representation theory to statistical problems

Representations of Finite and Algebraic Groups April 09, 2018 - April 13, 2018

April 10, 2018 (09:30 AM PDT - 10:30 AM PDT)
Speaker(s): Persi Diaconis (Stanford University)
Location: SLMath: Eisenbud Auditorium
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC



Lots of real world problems lead to group valued data...500 people ranking 5 types of chocolate chip cookies gives data on S(5). Daily birth rate data in New York City to data on C(365). There is even monster valued data- does the product replacement algorithm algorithm generate random looking elements. Fourier analysis on the groups calls for detailed knowledge of both characters and representations. It needs non-commutative analogs of the FFT. I will try to explain the statistics to people who know about groups (but not statistics). Again, there are many open problems

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