Unifying mirror descent and dual averaging

October 30, 2019 Β· Declared Dead Β· πŸ› Mathematical programming

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Authors Anatoli Juditsky, Joon Kwon, Γ‰ric Moulines arXiv ID 1910.13742 Category math.OC: Optimization & Control Cross-listed cs.LG Citations 29 Venue Mathematical programming Last Checked 2 months ago
Abstract
We introduce and analyze a new family of first-order optimization algorithms which generalizes and unifies both mirror descent and dual averaging. Within the framework of this family, we define new algorithms for constrained optimization that combines the advantages of mirror descent and dual averaging. Our preliminary simulation study shows that these new algorithms significantly outperform available methods in some situations.
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