Two restart-free accelerated first-order methods for nonconvex functions with Lipschitz gradients and Hessians achieve O(ε^{-7/4}) complexity by discretizing a new ODE model, with adaptive Lipschitz estimation in one variant.
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2026 2verdicts
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A general framework for parameter-free smooth nonconvex optimization via higher-order regularization yields algorithms with optimal complexity bounds without prior parameter knowledge.
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A Restart-Free Accelerated Algorithm for Non-Convex Minimization: Continuous and Discrete Analysis
Two restart-free accelerated first-order methods for nonconvex functions with Lipschitz gradients and Hessians achieve O(ε^{-7/4}) complexity by discretizing a new ODE model, with adaptive Lipschitz estimation in one variant.
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A General Recipe for Parameter-Free Nonconvex Optimization via Higher-Order Regularization
A general framework for parameter-free smooth nonconvex optimization via higher-order regularization yields algorithms with optimal complexity bounds without prior parameter knowledge.