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 Optimization


Riemannian stochastic optimization methods avoid strict saddle points

Neural Information Processing Systems

Informally, our main result may be stated as follows: Under any stochastic Riemannian Robbins-Monro method, the probability of converging to a strict saddle point (or a submanifold thereof) is zero.










A Unified Discretization Framework for Differential Equation Approach with Lyapunov Arguments for Convex Optimization

Neural Information Processing Systems

The differential equation (DE) approach for convex optimization, which relates optimization methods to specific continuous DEs with rate-revealing Lyapunov functionals, has gained increasing interest since the seminal paper by Su-Boyd-Candès (2014).