BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//wp-events-plugin.com//6.6.3//EN
TZID:America/New_York
X-WR-TIMEZONE:America/New_York
BEGIN:VEVENT
UID:578@fds.yale.edu
DTSTART;TZID=America/New_York:20230424T160000
DTEND;TZID=America/New_York:20230424T170000
DTSTAMP:20240227T000405Z
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:Colloquium,Seminar Series
END:VEVENT
BEGIN:VTIMEZONE
TZID:America/New_York
X-LIC-LOCATION:America/New_York
BEGIN:DAYLIGHT
DTSTART:20230312T030000
TZOFFSETFROM:-0500
TZOFFSETTO:-0400
TZNAME:EDT
END:DAYLIGHT
END:VTIMEZONE
END:VCALENDAR