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20152023
most citedA Sufficient Condition for Convergences of Adam and RMSProp

28 citations · 48 across the 12 of their papers we have counts for

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5 papers · 1 filter

math.OC2018★ 2 cited

An Algorithmic Framework of Variable Metric Over-Relaxed Hybrid Proximal Extra-Gradient Method

Li Shen, Peng Sun, Yitong Wang +2

We propose a novel algorithmic framework of Variable Metric Over-Relaxed Hybrid Proximal Extra-gradient (VMOR-HPE) method with a global convergence guarantee for the maximal monoto…

math.OC2016★ 5 cited

Weighted iteration complexity of the sPADMM on the KKT residuals for convex composite optimization

Li Shen, Shaohua Pan

In this paper we establish an weighted iteration complexity on the KKT residuals yielded by the sPADMM (semi-proximal alternating direction method of multipl…

math.OC2015★ 4 cited

Linear convergence of the generalized PPA and several splitting methods for the composite inclusion problem

Li Shen, Shaohua Pan

For the inclusion problem involving two maximal monotone operators, under the metric subregularity of the composite operator, we derive the linear convergence of the generalized pr…

math.OC2015★ 2 cited

Inexact indefinite proximal ADMMs for 2-block separable convex programs and applications to 4-block DNNSDPs

Li Shen, Shaohua Pan

This paper is concerned with two-block separable convex minimization problems with linear constraints, for which it is either impossible or too expensive to obtain the exact soluti…

math.OC2015★ 1 cited

A corrected semi-proximal ADMM for multi-block convex optimization and its application to DNN-SDPs

Li Shen, Shaohua Pan

In this paper we propose a corrected semi-proximal ADMM (alternating direction method of multipliers) for the general -block convex optimization problems with linea…