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Article . 2025 . Peer-reviewed
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Article . 2025
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Efficient Distributed Differential Network Estimation

Efficient distributed differential network estimation
Authors: Qiao Zheng; Riquan Zhang; Gefei Li; Yan Zhong;

Efficient Distributed Differential Network Estimation

Abstract

ABSTRACTDifferential network is an essential tool to reveal structural changes across two populations. However, existing single‐machine methods for estimating differential network face computational and storage limitations when dealing with large‐scale data sets. To address this issue, this paper develops a distributed estimation algorithm, which divides the estimation of differential network into several small‐scale node‐wise regression tasks and reduces local estimation bias through a debiasing technique. After aggregating debiased estimators, a global estimator is constructed efficiently. Theoretical analysis shows that the proposed distributed estimator can achieve global estimation consistency under mild conditions, with a convergence rate comparable to that of the single‐machine method, while also facilitating support set recovery. Finally, we provide extensive numerical experiments to demonstrate the superior performance of our estimator compared to several baselines.

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Keywords

large-scale data, distributed computing, Gaussian graphical model, Statistics, network difference, high dimensionality, statistical inference

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
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