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A numerical method for semi-discrete optimal transport problems

Professor Luca Dieci
Date & Time
03 Jul 2024 (Wed) | 03:00 PM - 04:00 PM
Venue
Y5-205, Yeung Kin Man Academic Building

ABSTRACT

First, we review the semi-discrete optimal transport problem and its relation to a Laguerre tessellation.  Then, we propose a new method for solving the semi-discrete optimal transport problem for cost functions that are a positive combination of $p$-norms, $1<p<\infty$.

By exploiting the geometry of the Laguerre cells, we obtain an efficient and reliable implementation of Newton's method to find the sought subdivision.  We give implementation details and some numerical results.

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