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20142026
most citedA Differential Equation for Modeling Nesterov's Accelerated Gradient Method: Theory and Insights

518 citations · 1.3k across the 51 of their papers we have counts for

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Showing 2019Show all

6 papers · 1 filter

cs.LG2019★ 22 cited

Deep Learning with Gaussian Differential Privacy

Zhiqi Bu, Jinshuo Dong, Qi Long +1

Deep learning models are often trained on datasets that contain sensitive information such as individuals' shopping transactions, personal contacts, and medical records. An increas…

stat.ML2019★ 7 cited

Robust Learning Rate Selection for Stochastic Optimization via Splitting Diagnostic

Matteo Sordello, Niccolò Dalmasso, Hangfeng He +1

This paper proposes SplitSGD, a new dynamic learning rate schedule for stochastic optimization. This method decreases the learning rate for better adaptation to the local geometry…

cs.LG2019★ 9 cited

The Local Elasticity of Neural Networks

Hangfeng He, Weijie J. Su

This paper presents a phenomenon in neural networks that we refer to as \textit{local elasticity}. Roughly speaking, a classifier is said to be locally elastic if its prediction at…

stat.ML2019★ 6 cited

Algorithmic Analysis and Statistical Estimation of SLOPE via Approximate Message Passing

Zhiqi Bu, Jason Klusowski, Cynthia Rush +1

SLOPE is a relatively new convex optimization procedure for high-dimensional linear regression via the sorted l1 penalty: the larger the rank of the fitted coefficient, the larger…

cs.LG2019★ 7 cited

Quantifying Intrinsic Uncertainty in Classification via Deep Dirichlet Mixture Networks

Qingyang Wu, He Li, Lexin Li +1

With the widespread success of deep neural networks in science and technology, it is becoming increasingly important to quantify the uncertainty of the predictions produced by deep…

math.OC2019★ 53 cited

Acceleration via Symplectic Discretization of High-Resolution Differential Equations

Bin Shi, Simon S. Du, Weijie J. Su +1

We study first-order optimization methods obtained by discretizing ordinary differential equations (ODEs) corresponding to Nesterov's accelerated gradient methods (NAGs) and Polyak…