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High-Probability Polynomial-Time Complexity of Restarted PDHG for Linear Programming

Xiong, Zikai
arXiv (All) · Papers
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optimization-and-control
The restarted primal-dual hybrid gradient method (rPDHG) is a first-order method recently known for its computational effectiveness in solving linear programming (LP) problems. Despite its impressive practical performance, the theoretical iteration bounds for rPDHG can be exponentially poor. To inve
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