Lower bounds for finding stationary points I - Carmon, Yair; Duchi, John C.; Hinder, Oliver; Sidford, Aaron (Mathematical programming, 2020)
Keywords: Algorithms; Calculus of Variations and Optimal Control; Optimization; Combinatorics; Complexity; Convex analysis; Derivatives; Electrical engineering; Full Length Paper; Lower bounds; Mathematical and Computational Physics; Mathematical Methods in Physics; Mathematical programming; Mathematics; Mathematics and Statistics; Mathematics of Computing; Numerical Analysis; Optimization; Queries; Regularization; Regularization methods; Theoretical; Dimension-free rates; Gradient descent; Cubic regularization of Newton’s method; 68Q25; Non-convex optimization; 90C30; Information-based complexity; 90C06; 90C26; 90C60