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PRODID:-//Virginia Tech//VT Calendar//EN
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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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