Transport and Beyond: Efficient Optimization over Probability Distributions

The core of classical optimization focuses on the setting where decision variables are vectors in Rⁿ. However, modern applications throughout machine learning, applied mathematics, and engineering demand high-dimensional optimization problems where decision variables are probability distributions. C...

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Bibliographic Details
Main Author: Altschuler, Jason M.
Other Authors: Parrilo, Pablo A.
Format: Thesis
Published: Massachusetts Institute of Technology 2023
Online Access:https://hdl.handle.net/1721.1/150436