AUEB SEMINARS - 13/1/2016: Konstantinos Daskalakis - Testing Properties of Distributions
Mon 11 Jan 2016 - 10:54
AUEB STATISTICS SEMINAR SERIES – JANUARY 2016
Konstantinos Daskalakis
Massachusetts Institute of Technology
Testing Properties of Distributions
WEDNESDAY 13/1/2016
13:00 – 15:00
ROOM 607, 6th FLOOR,
POSTGRADUATE STUDIES BUILDING
(EVELPIDON & LEFKADOS)
ABSTRACT
Given samples from an unknown distribution, p, is it possible to distinguish whether p belongs to some class of distributions C versus p being far from every distribution in C, by at least ε in total variation distance? This fundamental question has received tremendous attention in Statistics and Computer Science. Nevertheless, even for basic classes of distributions such as monotone, log-concave, unimodal, or product, the optimal sample complexity is unknown. We provide optimal testers for these families.
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