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UID:408@fds.yale.edu
DTSTART;TZID=America/New_York:20230424T160000
DTEND;TZID=America/New_York:20230424T170000
DTSTAMP:20240226T190405Z
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\n\nHosted by: Dan Spielman\n\n\n\nIn person event with remot
e access via Panopto.\n\n\n\nAbstract: Not all convex functions have finit
e minimizers\; some can only be minimized by a sequence as it heads to inf
inity. In this work\, we aim to develop a theory for understanding such
minimizers at infinity. We study astral space\, a compact extension of
Euclidean space to which such points at infinity have been added. Astral
space is constructed to be as small as possible while still ensuring that
all linear functions can be continuously extended to the new space. Alt
hough not a vector space\, nor even a metric space\, astral space is never
theless so well-structured as to allow useful and meaningful extensions of
such concepts as convexity\, conjugacy\, and subdifferentials. We devel
op these concepts and analyze various properties of convex functions on as
tral space\, including the detailed structure of their minimizers\, exact
characterizations of continuity\, and convergence of descent algorithms.\n
\n\n\nThis is joint work with Miroslav Dudík and Matus Telgarsky.\n\n\n\n
Bio: Robert Schapire is a Partner Researcher at Microsoft Research in New
York City. He received his PhD from MIT in 1991. After a short postdoc at
Harvard\, he joined the technical staff at AT&T Labs (formerly AT&T Bell L
aboratories) in 1991. In 2002\, he became a Professor of Computer Science
at Princeton University. He joined Microsoft Research in 2014. His awards
include the 1991 ACM Doctoral Dissertation Award\, the 2003 Gödel Prize\,
and the 2004 Kanelakkis Theory and Practice Award (both of the last two w
ith Yoav Freund). He is a fellow of the AAAI\, and a member of both the Na
tional Academy of Engineering and the National Academy of Sciences. His ma
in research interest is in theoretical and applied machine learning. Websi
te: 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 vi
rtual participation https://yale.hosted.panopto.com/Panopto/Pages/Viewer.a
spx?id=e1a54b37-2829-4b7a-841e-af93011fd666 \n\n\n\n\nWatch\n\n
CATEGORIES:Colloquium,Seminar Series
LOCATION:Mason Lab 211 with remote access option\, \,
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