A new adaptive Newton method with negative curvature steps achieves near-optimal complexity for nonconvex optimization using only local Hessian Lipschitz smoothness.
Trust region methods for nonconvex stochastic optimization beyond Lipschitz smoothness.Proceedings of the AAAI Conference on Artificial Intelligence, 38(14):16049–16057, Mar
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A Fast Newton Method Under Local Lipschitz Smoothness
A new adaptive Newton method with negative curvature steps achieves near-optimal complexity for nonconvex optimization using only local Hessian Lipschitz smoothness.