• Corpus ID: 219708662

# The Landscape of Nonconvex-Nonconcave Minimax Optimization

@article{Grimmer2020TheLO,
title={The Landscape of Nonconvex-Nonconcave Minimax Optimization},
author={Benjamin Grimmer and Haihao Lu and Pratik Worah and Vahab S. Mirrokni},
journal={ArXiv},
year={2020},
volume={abs/2006.08667}
}
• Published 15 June 2020
• Computer Science
• ArXiv
Minimax optimization has become a central tool for modern machine learning with applications in robust optimization, game theory and training GANs. These applications are often nonconvex-nonconcave, but the existing theory is unable to identify and deal with the fundamental difficulties posed by nonconvex-nonconcave structures. We break this historical barrier by identifying three regions of nonconvex-nonconcave bilinear minimax problems and characterizing their different solution paths. For…
4 Citations

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