Convergence of Cubic Regularization for Nonconvex Optimization under KL Property

NeurIPS 2018 Yi ZhouZhe WangYingbin Liang

Cubic-regularized Newton's method (CR) is a popular algorithm that guarantees to produce a second-order stationary solution for solving nonconvex optimization problems. However, existing understandings of the convergence rate of CR are conditioned on special types of geometrical properties of the objective function... (read more)

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