Flows, Submodularity, Sparsity, and Beyond: Continuous Optimization Insights for Discrete Problems

In this thesis we build on connections between discrete and continuous optimization. In the first part of the thesis we propose faster second-order convex optimization algorithms for classical graph algorithmic problems. Our main contribution is to show that the runtime of interior point methods is...

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Bibliographic Details
Main Author: Axiotis, Kyriakos
Other Authors: Mądry, Aleksander
Format: Thesis
Published: Massachusetts Institute of Technology 2023
Online Access:https://hdl.handle.net/1721.1/147524