Uplink Communication Efficient Differentially Private Sparse Optimization With Feature-Wise Distributed Data
By Jian Lou, Yiu-ming Cheung. 2018
11 citations recorded by the source corpus.
Preserving differential privacy during empirical risk minimization model training has been extensively studied under centralized and sample-wise distributed dataset settings. This paper considers a nearly unexplored context with features partitioned among different parties under privacy restriction. Motivated by the nearly optimal utility guarantee achieved by centralized private Frank-Wolfe algorithm (Talwar, Thakurta, and Zhang 2015), we develop a distributed variant with guaranteed privacy, utility and uplink communication complexity. To obtain these guarantees, we provide a much generalized convergence analysis for block-coordinate Frank-Wolfe under arbitrary sampling, which greatly extends known convergence results that are only applicable to two specific block sampling distributions. We also design an active feature sharing scheme by utilizing private Johnson-Lindenstrauss transform, which is the key to updating local partial gradients in a differentially private and communication efficient manner.
Subfields: Artificial Intelligence, Statistics and Probability
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Citations in the corpus
- Learning Privately over Distributed Features: An ADMM Sharing Approach (2019, background): “A few recent studies [8, 9, 10, 11, 12, 13, 14] have revisited vertically partitioned features under the setting of distributed learning, which is motivated by the increase in feature dimensionality as well as the opportunity of cooperation between multiple parties that may hold different aspects of”