English

Distributed Linear Model Clustering over Networks: A Tree-Based Fused-Lasso ADMM Approach

Machine Learning 2019-05-29 v1 Distributed, Parallel, and Cluster Computing Machine Learning Networking and Internet Architecture Statistics Theory Statistics Theory

Abstract

In this work, we consider to improve the model estimation efficiency by aggregating the neighbors' information as well as identify the subgroup membership for each node in the network. A tree-based l1l_1 penalty is proposed to save the computation and communication cost. We design a decentralized generalized alternating direction method of multiplier algorithm for solving the objective function in parallel. The theoretical properties are derived to guarantee both the model consistency and the algorithm convergence. Thorough numerical experiments are also conducted to back up our theory, which also show that our approach outperforms in the aspects of the estimation accuracy, computation speed and communication cost.

Keywords

Cite

@article{arxiv.1905.11549,
  title  = {Distributed Linear Model Clustering over Networks: A Tree-Based Fused-Lasso ADMM Approach},
  author = {Xin Zhang and Jia Liu and Zhengyuan Zhu},
  journal= {arXiv preprint arXiv:1905.11549},
  year   = {2019}
}
R2 v1 2026-06-23T09:27:57.521Z