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20172022
most citedDifferentiable Linearized ADMM

26 citations · 193 across the 30 of their papers we have counts for

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5 papers · 1 filter

math.OC2026

Near-Optimal Lower Bounds for Randomized Algorithms in Exact Value Zeroth-Order Convex Optimization

Haihan Zhang, Chenheng Zhang, Zhiquan Qi +1

Whether exact scalar feedback intrinsically incurs the additional dimension paid by known zeroth-order methods remains open even for Lipschitz convex optimization. For a univer…

math.OC201918 cited

Sharp Analysis for Nonconvex SGD Escaping from Saddle Points

Cong Fang, Zhouchen Lin, Tong Zhang

In this paper, we give a sharp analysis for Stochastic Gradient Descent (SGD) and prove that SGD is able to efficiently escape from saddle points and find an -appr…

math.OC2018

Decentralized Accelerated Gradient Methods With Increasing Penalty Parameters

Huan Li, Cong Fang, Wotao Yin +1

In this paper, we study the communication and (sub)gradient computation costs in distributed optimization and give a sharp complexity analysis for the proposed distributed accelera…

math.OC2018

SPIDER: Near-Optimal Non-Convex Optimization via Stochastic Path Integrated Differential Estimator

Cong Fang, Chris Junchi Li, Zhouchen Lin +1

In this paper, we propose a new technique named \textit{Stochastic Path-Integrated Differential EstimatoR} (SPIDER), which can be used to track many deterministic quantities of int…

math.OC2018

Accelerating Asynchronous Algorithms for Convex Optimization by Momentum Compensation

Cong Fang, Yameng Huang, Zhouchen Lin

Asynchronous algorithms have attracted much attention recently due to the crucial demands on solving large-scale optimization problems. However, the accelerated versions of asynchr…