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UID:578@fds.yale.edu
DTSTART;TZID=America/New_York:20230424T160000
DTEND;TZID=America/New_York:20230424T170000
DTSTAMP:20250916T142122Z
URL:https://fds.yale.edu/events/fds-colloquium-robert-schapire-microsoft-r
 esearch-convex-analysis-at-infinity-an-introduction-to-astral-space/
SUMMARY:FDS Colloquium: Robert Schapire (Microsoft Research) "Convex Analys
 is at Infinity: An Introduction to Astral Space"
DESCRIPTION:Speaker: Robert SchapireComputer Scientist\,Microsoft Research 
 (NYC Lab)\n\n\nHosted by: Dan Spielman\n\n\n\nIn person event with remote 
 access via Panopto.\n\n\n\nAbstract: Not all convex functions have finite 
 minimizers\; some can only be minimized by a sequence as it heads to infin
 ity.  In this work\, we aim to develop a theory for understanding such mi
 nimizers at infinity.  We study astral space\, a compact extension of Eu
 clidean space to which such points at infinity have been added.  Astral s
 pace is constructed to be as small as possible while still ensuring that a
 ll linear functions can be continuously extended to the new space.  Altho
 ugh not a vector space\, nor even a metric space\, astral space is neverth
 eless so well-structured as to allow useful and meaningful extensions of s
 uch concepts as convexity\, conjugacy\, and subdifferentials.  We develop
  these concepts and analyze various properties of convex functions on astr
 al space\, including the detailed structure of their minimizers\, exact ch
 aracterizations of continuity\, and convergence of descent algorithms.\n\n
 \n\nThis is joint work with Miroslav Dudík and Matus Telgarsky.\n\n\n\nBi
 o: Robert Schapire is a Partner Researcher at Microsoft Research in New Yo
 rk City. He received his PhD from MIT in 1991. After a short postdoc at Ha
 rvard\, he joined the technical staff at AT&T Labs (formerly AT&T Bell Lab
 oratories) in 1991. In 2002\, he became a Professor of Computer Science at
  Princeton University. He joined Microsoft Research in 2014. His awards in
 clude the 1991 ACM Doctoral Dissertation Award\, the 2003 Gödel Prize\, a
 nd the 2004 Kanelakkis Theory and Practice Award (both of the last two wit
 h Yoav Freund). He is a fellow of the AAAI\, and a member of both the Nati
 onal Academy of Engineering and the National Academy of Sciences. His main
  research interest is in theoretical and applied machine learning. Website
 : http://rob.schapire.net/\n\n\n\nMonday\, April 24\, 2023\n\n\n\n3:30pm 
 – Pre-talk meet and greet teatime – Dana House\, 24 Hillhouse Avenue\n
 \n\n\n4:00pm – 5:00 pm – Talk – Mason Lab 211 with the option of vir
 tual participation https://yale.hosted.panopto.com/Panopto/Pages/Viewer.as
 px?id=e1a54b37-2829-4b7a-841e-af93011fd666 \n\n\n\n\nWatch\n\n
CATEGORIES:FDS Events,Colloquium,Seminar Series
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