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20082026
most citedOn the Linear Convergence of the ADMM in Decentralized Consensus Optimization

873 citations · 5.4k across the 120 of their papers we have counts for

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Showing 2013Show all

7 papers · 1 filter

math.OC2013★ 46 cited

Parallel Multi-Block ADMM with o(1/k) Convergence

Wei Deng, Ming-Jun Lai, Zhimin Peng +1

This paper introduces a parallel and distributed extension to the alternating direction method of multipliers (ADMM) for solving convex problem: minimize su…

math.NA2013★ 368 cited

Parallel matrix factorization for low-rank tensor completion

Yangyang Xu, Ruru Hao, Wotao Yin +1

Higher-order low-rank tensors naturally arise in many applications including hyperspectral data recovery, video inpainting, seismic data recon- struction, and so on. We propose a n…

math.OC2013★ 53 cited

On the Convergence of Decentralized Gradient Descent

Kun Yuan, Qing Ling, Wotao Yin

Consider the consensus problem of minimizing where each is only known to one individual agent out of a connected network of agents. All the…

math.OC2013★ 2 cited

A dual algorithm for a class of augmented convex models

Hui Zhang, Lizhi Cheng, Wotao Yin

Convex optimization models find interesting applications, especially in signal/image processing and compressive sensing. We study some augmented convex models, which are perturbed…

math.OC2013★ 873 cited

On the Linear Convergence of the ADMM in Decentralized Consensus Optimization

Wei Shi, Qing Ling, Kun Yuan +2

In decentralized consensus optimization, a connected network of agents collaboratively minimize the sum of their local objective functions over a common decision variable, where th…

cs.IT2013★ 56 cited

One condition for solution uniqueness and robustness of both l1-synthesis and l1-analysis minimizations

Hui Zhang, Ming Yan, Wotao Yin

The -synthesis model and the -analysis model recover structured signals from their undersampled measurements. The solution of former is a sparse sum of dictionary a…