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News/Sharp First-Order Lower Bounds for Higher-Order Smooth Nonconvex Optimization
arxiv
PublishedSeptember 23, 2026 at 4:00 AM

Sharp First-Order Lower Bounds for Higher-Order Smooth Nonconvex Optimization

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arXiv:2606.05438v2 Announce Type: replace Abstract: We study the deterministic first-order oracle complexity of finding \(\epsilon\)-stationary points in smooth nonconvex optimization when the objective satisfies higher-order smoothness assumptions. While the classical \(\epsilon^{-2}\) rate is opti

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