Abstract In this article, we focus on the community detection problem in multiplex networks, that is, networks with multiple layers having same node sets and no inter-layer connections. particular, look for groups of nodes can be recognized as communities consistently across layers. To end, propose a new approach generalizes Louvain method by (a) simultaneously updating average variance modular...

This paper proposed a new technique Variance Controlled Stochastic Gradient (VCSG) to improve the performance of stochastic variance reduced gradient (SVRG) algorithm. To avoid over-reducing by SVRG, hyper-parameter \(\lambda \) is introduced in VCSG that able control SVRG. Theory shows optimization method can converge using an unbiased estimator, but practice, biased estimation allow more effi...

Stochastic gradient methods (SGMs) have been extensively used for solving stochastic problems or large-scale machine learning problems. Recent works employ various techniques to improve the convergence rate of SGMs both convex and nonconvex cases. Most them require a large number samples in some all iterations improved SGMs. In this paper, we propose new SGM, named PStorm, nonsmooth With moment...