Title
Recycled Admm: Improving The Privacy And Accuracy Of Distributed Algorithms
Abstract
Alternating direction method of multiplier (ADMM) is a powerful method to solve decentralized convex optimization problems. In distributed settings, each node performs computation with its local data and the local results are exchanged among neighboring nodes in an iterative fashion. During this iterative process the leakage of data privacy arises and can accumulate significantly over many iterations, making it difficult to balance the privacy-accuracy tradeoff. We propose Recycled ADMM (R-ADMM), where a linear approximation is applied to every even iteration, its solution directly calculated using only results from the previous, odd iteration. It turns out that under such a scheme, half of the updates incur no privacy loss and require much less computation compared to the conventional ADMM. Moreover, R-ADMM can be further modified (MR-ADMM) such that each node independently determines its own penalty parameter over iterations. We obtain a sufficient condition for the convergence of both algorithms and provide the privacy analysis based on objective perturbation. It can be shown that the privacy-accuracy tradeoff can be improved significantly compared with conventional ADMM.
Year
DOI
Venue
2020
10.1109/TIFS.2019.2947867
IEEE TRANSACTIONS ON INFORMATION FORENSICS AND SECURITY
Keywords
DocType
Volume
Privacy, Perturbation methods, Differential privacy, Optimization, Distributed databases, Convergence, Differential privacy, distributed learning, ADMM
Journal
15
ISSN
Citations 
PageRank 
1556-6013
0
0.34
References 
Authors
0
3
Name
Order
Citations
PageRank
Xueru Zhang1105.31
Mohammad Mahdi Khalili2215.19
Mingyan Liu32569224.92