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 Optimization


Private (Stochastic) Non-Convex Optimization Revisited: Second-Order Stationary Points and Excess Risks

Neural Information Processing Systems

Our preliminary results suggest that the regularized exponential mechanism can effectively emulate previous empirical and population risk bounds, negating the need for smoothness assumptions for algorithms with polynomial running time.



Stochastic Newton Proximal Extragradient Method

Neural Information Processing Systems

However, these methods typically reach superlinear convergence only when the stochastic Hessian noise diminishes, increasing per-iteration costs over time.