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UID:435ea17eb3b3e648f591134235403afb
CATEGORIES:Discrete Math
CREATED:20230421T141619
SUMMARY: Influences for Convex Sets
LOCATION:  Hill 705
DESCRIPTION:<p><strong>Abstract</strong>:&nbsp;We introduce a new notion of influence—c
 alled "convex influence"—for convex sets over Gaussian space which has many
  of the properties of influences of Boolean functions over the hypercube. O
 ur main results for convex influences give Gaussian space analogues of many
  important results on influences for monotone Boolean functions, including 
 the Kahn-Kalai-Linial theorem, a sharp threshold theorem of Kalai, and a qu
 antitative correlation inequality due to Talagrand. Time permitting, we wil
 l also discuss a recent application of convex influences to the problem of 
 testing convex truncation, a natural algorithmic task in high-dimensional s
 tatistics.&nbsp;</p><p>Based on joint works with Anindya De and Rocco A. Se
 rvedio.</p>
CONTACT:Speaker: Shivam Nadimpalli (Columbia University)
DTSTAMP:20260827T020843
DTSTART;TZID=America/New_York:20230424T140000
DTEND;TZID=America/New_York:20230424T150000
SEQUENCE:0
TRANSP:OPAQUE
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