Search Results for author: Junwen Qiu

Found 4 papers, 0 papers with code

A New Random Reshuffling Method for Nonsmooth Nonconvex Finite-sum Optimization

no code implementations2 Dec 2023 Xiao Li, Andre Milzarek, Junwen Qiu

While the convergence behavior and advantageous acceleration effects of random reshuffling methods are fairly well understood in the smooth setting, much less seems to be known in the nonsmooth case and only few proximal-type random reshuffling approaches with provable guarantees exist.

Stochastic Optimization

Convergence of a Normal Map-based Prox-SGD Method under the KL Inequality

no code implementations10 May 2023 Andre Milzarek, Junwen Qiu

In this paper, we present a novel stochastic normal map-based algorithm ($\mathsf{norM}\text{-}\mathsf{SGD}$) for nonconvex composite-type optimization problems and discuss its convergence properties.

Distributed Random Reshuffling over Networks

no code implementations31 Dec 2021 Kun Huang, Xiao Li, Andre Milzarek, Shi Pu, Junwen Qiu

We show that D-RR inherits favorable characteristics of RR for both smooth strongly convex and smooth nonconvex objective functions.

Distributed Optimization

Convergence of Random Reshuffling Under The Kurdyka-Łojasiewicz Inequality

no code implementations10 Oct 2021 Xiao Li, Andre Milzarek, Junwen Qiu

We conduct a novel convergence analysis for the non-descent RR method with diminishing step sizes based on the KL inequality, which generalizes the standard KL framework.

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