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Controlling a complex network is of great importance in many applications. The network can be controlled by inputting external control signals through some selected nodes, which are called input nodes. Previous works found that the majority…

Social and Information Networks · Computer Science 2019-10-23 Xizhe Zhang , Qian Li

Evolution Strategies (ES) emerged as a scalable alternative to popular Reinforcement Learning (RL) techniques, providing an almost perfect speedup when distributed across hundreds of CPU cores thanks to a reduced communication overhead.…

Machine Learning · Statistics 2018-11-13 Víctor Campos , Xavier Giro-i-Nieto , Jordi Torres

Node importance estimation, a classical problem in network analysis, underpins various web applications. Previous methods either exploit intrinsic topological characteristics, e.g., graph centrality, or leverage additional information,…

Machine Learning · Computer Science 2025-05-13 Yankai Chen , Taotao Wang , Yixiang Fang , Yunyu Xiao

We generalize the stochastic block model to the important case in which edges are annotated with weights drawn from an exponential family distribution. This generalization introduces several technical difficulties for model estimation,…

Machine Learning · Statistics 2013-05-27 Christopher Aicher , Abigail Z. Jacobs , Aaron Clauset

We introduce the weighted random graph (WRG) model, which represents the weighted counterpart of the Erdos-Renyi random graph and provides fundamental insights into more complicated weighted networks. We find analytically that the WRG is…

Statistical Mechanics · Physics 2016-09-08 Diego Garlaschelli

Complex network reconstruction is a hot topic in many fields. Currently, the most popular data-driven reconstruction framework is based on lasso. However, it is found that, in the presence of noise, lasso loses efficiency for weighted…

Machine Learning · Statistics 2020-03-03 Shuang Xu , Chun-Xia Zhang , Pei Wang , Jiangshe Zhang

Data defined over a network have been successfully modelled by means of graph filters. However, although in many scenarios the connectivity of the network is known, e.g., smart grids, social networks, etc., the lack of well-defined…

Signal Processing · Electrical Eng. & Systems 2020-07-08 Alberto Natali , Mario Coutino , Geert Leus

Most real-world networks are weighted graphs with the weight of the edges reflecting the relative importance of the connections. In this work, we study non degree dependent correlations between edge weights, generalizing thus the…

Statistical Mechanics · Physics 2009-11-11 Jose J. Ramasco , Bruno Goncalves

We consider a Gibbs distribution over all spanning trees of an undirected, edge weighted finite graph, where, up to normalization, the probability of each tree is given by the product of its edge weights. Defining the weighted degree of a…

Discrete Mathematics · Computer Science 2024-10-18 Enrique Fita Sanmartín , Christoph Schnörr , Fred A. Hamprecht

With the prevalence of intelligent mobile applications, edge learning is emerging as a promising technology for powering fast intelligence acquisition for edge devices from distributed data generated at the network edge. One critical task…

Networking and Internet Architecture · Computer Science 2019-10-08 Dongzhu Liu , Guangxu Zhu , Jun Zhang , Kaibin Huang

Networks are ubiquitous structure that describes complex relationships between different entities in the real world. As a critical component of prediction task over nodes in networks, learning the feature representation of nodes has become…

Machine Learning · Computer Science 2018-09-10 Hansheng Xue , Jiajie Peng , Xuequn Shang

Despite the success of graph neural network models in node classification, edge prediction (the task of predicting missing or potential links between nodes in a graph) remains a challenging problem for these models. A common approach for…

Machine Learning · Computer Science 2023-11-23 Zahed Rahmati

A random graph model with prescribed degree distribution and degree dependent edge weights is introduced. Each vertex is independently equipped with a random number of half-edges and each half-edge is assigned an integer valued weight…

Probability · Mathematics 2015-05-28 Tom Britton , Maria Deijfen , Fredrik Liljeros

We study growing networks in which each link carries a certain weight (randomly assigned at birth and fixed thereafter). The weight of a node is defined as the sum of the weights of the links attached to the node, and the network grows via…

Disordered Systems and Neural Networks · Physics 2009-11-10 T. Antal , P. L. Krapivsky

Link prediction aims to uncover missing links or predict the emergence of future relationships according to the current networks structure. Plenty of algorithms have been developed for link prediction in unweighted networks, with only a…

Social and Information Networks · Computer Science 2015-09-22 Jing Zhao , Lili Miao , Haiyang Fang , Qian-Ming Zhang , Min Nie , Tao Zhou

We consider the problem of finding edges of a hidden weighted graph using a certain type of queries. Let $G$ be a weighted graph with $n$ vertices. In the most general setting, the $n$ vertices are known and no other information about $G$…

Combinatorics · Mathematics 2012-01-19 Jeong Han Kim

Node embedding is the task of extracting informative and descriptive features over the nodes of a graph. The importance of node embeddings for graph analytics, as well as learning tasks such as node classification, link prediction and…

Machine Learning · Computer Science 2019-06-17 Dimitris Berberidis , Georgios B. Giannakis

This paper presents a generalization of the random dot product model for networks whose edge weights are drawn from a parametrized probability distribution. We focus on the case of integer weight edges and show that many previously studied…

Applications · Statistics 2016-11-09 Daryl R. DeFord , Daniel N. Rockmore

The identification of important nodes in complex networks is an area of exciting growth due to its applications across various disciplines like disease controlling, community finding, data mining, network system controlling, just to name a…

Social and Information Networks · Computer Science 2020-11-13 Qiuyan Shang , Yong Deng , Kang Hao Cheong

Only when understanding hackers' tactics, can we thwart their attacks. With this spirit, this paper studies how hackers can effectively launch the so-called 'targeted node attacks', in which iterative attacks are staged on a network, and in…

Networking and Internet Architecture · Computer Science 2022-11-18 Balume Mburano , Weisheng Si , Qing Cao , Wei Xing Zheng