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DTSTAMP:20201008T183000Z
UID:1601903997525@events.msu.edu
CATEGORIES:Conferences / Seminars / Lectures
DTSTART:20201008T183000Z
DTEND:20201008T193000Z
SUMMARY:Math Seminar Series
DESCRIPTION:
Applied Mathematics\n
\n
Jun Kitagawa from Michigan
State University will be speaking.\n
\n
The
presentation is titled "Optimal transport with
storage fees: theory and numerics." \n
\n
The
zoom link can be found at https://sites.google.com/view/minds-seminar/home.\n
\n
In
this talk
I will discuss the optimal transport problem
with ''storage fees.'' This is a variant
of the semi-discrete optimal transport (a.k.a.
Monge-Kantorovich) problem, where instead of
transporting an absolutely continuous measure
to a fixed discrete measure and minimizing
the transport cost, one must choose the weights
of the target measure, and minimize the sum
of the transport cost and some given ''storage
fee function'' of the target weights. This
problem arises in queue penalization and semi-supervised
data clustering. I will discuss
some basic theoretical questions, such as existence,
uniqueness, a dual problem, and characterization
of solutions. Then, I will present
a numerical algorithm which has global linear
and local superlinear convergence for a
subcase of storage fee functions. All work in
this talk is joint with M. Bansil (UCLA).\n\n
Price: free\n
Sponsor: Department of Mathematics\n
Sponsor's Homepage: https://www.math.msu.edu/\n
Contact name: Department of Mathematics\n
Contact phone: (517) 353-0844\n
for more info visit the web at:\n
https://www.math.msu.edu/Seminars/CalendarView.aspx?month-of=September2016\n
LOCATION:Online Via Zoom
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