WebDynamic networkmodelsandgraphonestimation MariannaPensky DepartmentofMathematics,UniversityofCentralFlorida Abstract In the present paper we … WebWe show that they satisfy oracle inequalities with respect to the block constant oracle. As a consequence, we derive optimal rates of estimation of the probability matrix. Our results cover the important setting of sparse networks. Another consequence consists in establishing upper bounds on the minimax risks for graphon estimation in the L2 ...
graphon: A Collection of Graphon Estimation Methods
WebIn recent decades, a plethora of models has been proposed for dynamic network analysis.Snijders(2001) andSnijders(2005) developed a Stochastic Actor-Oriented Model, which is driven by the actor’s perspective ... Zifeng Zhao, Li Chen, and Lizhen Lin. Change-point detection in dynamic networks via graphon estimation. arXiv preprint arXiv:1908. ... WebWe propose a general approach for change-point detection in dynamic networks. The proposed method is model-free and covers a wide range of dynamic networks. The key idea behind our approach is to effectively utilize the network structure in designing change-point detection algorithms. This is done via an initial step of graphon estimation, where … pureabby
Overlapping community detection for count-value networks
WebMotivated by these issues, we propose a novel local linear graphon estimator that uses covariates to account for node heterogeneity, and enables improved graphon estimation. We consider the setting where a single undirected network without self-loops is observed along with continuous covariates at each node. WebDYNAMIC NETWORK MODELS AND GRAPHON ESTIMATION BY MARIANNA PENSKY1 University of Central Florida In the present paper, we consider a dynamic … WebDynamic Stochastic Block Model (DSBM) Network = undirected graph with n nodes Network is observed at L time instances t 1;t 2; ;t L 2[0;T] For simplicity: T = 1, t l = l=L, l = 1; ;L ... Existing results: static graphon estimation Let matrix be generated by the graphon f If f is in Holder class with a smoothness parameter and is known,then 1 n2 ... secret to successful marriages living apart