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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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Showing 2018Show all

5 papers · 1 filter

cs.LG2018★ 28 cited

A Sufficient Condition for Convergences of Adam and RMSProp

Fangyu Zou, Li Shen, Zequn Jie +2

Adam and RMSProp are two of the most influential adaptive stochastic algorithms for training deep neural networks, which have been pointed out to be divergent even in the convex se…

cs.LG2018★ 2 cited

A Unified Analysis of AdaGrad with Weighted Aggregation and Momentum Acceleration

Li Shen, Congliang Chen, Fangyu Zou +3

Integrating adaptive learning rate and momentum techniques into SGD leads to a large class of efficiently accelerated adaptive stochastic algorithms, such as AdaGrad, RMSProp, Adam…

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.NA2018

A Generalized Matrix Splitting Algorithm

Ganzhao Yuan, Wei-Shi Zheng, Li Shen +1

Composite function minimization captures a wide spectrum of applications in both computer vision and machine learning. It includes bound constrained optimization, norm reg…

math.NA2018

A Decomposition Algorithm for the Sparse Generalized Eigenvalue Problem

Ganzhao Yuan, Li Shen, Wei-Shi Zheng

The sparse generalized eigenvalue problem arises in a number of standard and modern statistical learning models, including sparse principal component analysis, sparse Fisher discri…