The complexity of gradient descent: CLS = PPAD∩PLS

We study search problems that can be solved by performing Gradient Descent on a bounded convex polytopal domain and show that this class is equal to the intersection of two well-known classes: PPAD and PLS. As our main underlying technical contribution, we show that computing a Karush-Kuhn-Tucker (K...

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Bibliografiske detaljer
Main Authors: Fearnley, J, Goldberg, P, Hollender, A, Savani, R
Format: Journal article
Sprog:English
Udgivet: Association for Computing Machinery 2022