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CATEGORIES:Research Office,Faculty & Staff
DESCRIPTION:Optimal Transport and Topology in Data Science\n\nTom Needham\n
Ross Assistant Professor\nThe Ohio State University\n\n\nThe optimal transp
ort problem seeks the cost-minimizing plan for moving materials to building
sites. First formulated precisely by Gaspard Monge in the 1700s\, optimal
transport has since developed into its own sophisticated subfield of pure m
athematics. Recent advances in theory and algorithm design have transformed
optimal transport into a viable tool for analyzing large datasets. In this
talk\, I will describe a way to compare general abstract metric spaces usi
ng ideas from optimal transport. This provides a unified framework for anal
yzing complex data\, which I will demonstrate with an application to featur
e matching of anatomical surfaces. Along the way\, I will formulate several
natural inverse problems in geometry and graph theory whose solutions are
obtained via tools from the rapidly- developing field of topological data a
nalysis.\n\nTom Needham is a Ross Assistant Professor at The Ohio State Uni
versity\, where he works in the field of Topological and Geometrical Data A
nalysis. His research involves applications of algebraic topology to data s
cience\, topics in mathematical signal processing such as compressive sensi
ng and Riemannian approaches to statistical shape analysis. Before coming t
o Ohio State\, he received his Phd in Mathematics from University of Georgi
a in 2016.\n\n\nSeminar hosted by Data Science Institue
DTEND:20190211T160000Z
DTSTAMP:20190524T080225Z
DTSTART:20190211T150000Z
GEO:39.68018;-75.748505
LOCATION:Pearson Hall
SEQUENCE:0
SUMMARY:Data Science Seminar Series - Tom Needham
UID:tag:localist.com\,2008:EventInstance_4306279
URL:https://events.udel.edu/event/data_science_seminar_series_-_tom_needham
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