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math.OC2020★ 14 cited
Efficient Methods for Structured Nonconvex-Nonconcave Min-Max Optimization
Jelena Diakonikolas, Constantinos Daskalakis, Michael I. Jordan
The use of min-max optimization in adversarial training of deep neural network classifiers and training of generative adversarial networks has motivated the study of nonconvex-nonc…
math.OC2019
Generalized Momentum-Based Methods: A Hamiltonian Perspective
Jelena Diakonikolas, Michael I. Jordan
We take a Hamiltonian-based perspective to generalize Nesterov's accelerated gradient descent and Polyak's heavy ball method to a broad class of momentum methods in the setting of…