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20122026
most citedOn the Noisy Gradient Descent that Generalizes as SGD

37 citations · 162 across the 25 of their papers we have counts for

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Showing 2017Show all

5 papers · 1 filter

math.PR2017★ 3 cited

On the Global Convergence of Continuous-Time Stochastic Heavy-Ball Method for Nonconvex Optimization

Wenqing Hu, Chris Junchi Li, Xiang Zhou

We study the convergence behavior of the stochastic heavy-ball method with a small stepsize. Under a change of time scale, we approximate the discrete method by a stochastic differ…

math.PR2017★ 1 cited

Large deviations and averaging for systems of slow--fast stochastic reaction--diffusion equations

Wenqing Hu, Michael Salins, Konstantinos Spiliopoulos

We study a large deviation principle for a system of stochastic reaction--diffusion equations (SRDEs) with a separation of fast and slow components and small noise in the slow comp…

math.PR2017★ 7 cited

A convergence analysis of the perturbed compositional gradient flow: averaging principle and normal deviations

Wenqing Hu, Chris Junchi Li

We consider in this work a system of two stochastic differential equations named the perturbed compositional gradient flow. By introducing a separation of fast and slow scales of t…

math.PR2017★ 9 cited

On the fast convergence of random perturbations of the gradient flow

Jiaojiao Yang, Wenqing Hu, Chris Junchi Li

We consider in this work small random perturbations (of multiplicative noise type) of the gradient flow. We prove that under mild conditions, when the potential function is a Morse…

cs.LG2017★ 1 cited

FWDA: a Fast Wishart Discriminant Analysis with its Application to Electronic Health Records Data Classification

Haoyi Xiong, Wei Cheng, Wenqing Hu +2

Linear Discriminant Analysis (LDA) on Electronic Health Records (EHR) data is widely-used for early detection of diseases. Classical LDA for EHR data classification, however, suffe…