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Mixing patterns in large self-organizing networks, such as the Internet, the World Wide Web, social and biological networks are often characterized by degree-degree {dependencies} between neighbouring nodes. One of the problems with the…

Probability · Mathematics 2014-02-03 Nelly Litvak , Remco van der Hofstad

Edge computing has recently emerged as a promising paradigm to boost the performance of distributed learning by leveraging the distributed resources at edge nodes. Architecturally, the introduction of edge nodes adds an additional…

Networking and Internet Architecture · Computer Science 2024-06-18 Weiheng Tang , Jingyi Li , Lin Chen , Xu Chen

We investigate the selective forces that promote the emergence of modularity in nature. We demonstrate the spontaneous emergence of modularity in a population of individuals that evolve in a changing environment. We show that the level of…

Molecular Networks · Quantitative Biology 2009-11-13 Jiankui He , Jun Sun , Michael W. Deem

We present a method for the construction of ensembles of random networks that consist of a single connected component with a given degree distribution. This approach extends the construction toolbox of random networks beyond the…

Disordered Systems and Neural Networks · Physics 2019-04-19 Ido Tishby , Ofer Biham , Eytan Katzav , Reimer Kühn

The dynamics of cascading activation, such as rapid changes in public opinion and the outbreak of disease epidemics, have a crucial dependence on the connectivity patterns among the agents. We study cascading dynamics in modular,…

Physics and Society · Physics 2022-01-20 Jordan Snyder , Weiran Cai , Raissa M. D'Souza

Evolutionary algorithms have been frequently applied to constrained continuous optimisation problems. We carry out feature based comparisons of different types of evolutionary algorithms such as evolution strategies, differential evolution…

Artificial Intelligence · Computer Science 2015-09-24 Shayan Poursoltan , Frank Neumann

We consider a preferential attachment model that incorporates an anomaly. Our goal is to understand the evolution of the network before and after the occurrence of the anomaly by studying the influence of the anomaly on the structural…

Physics and Society · Physics 2025-05-07 Qiu Liang , Remco van der Hofstad , Nelly Litvak

Computing high quality node separators in large graphs is necessary for a variety of applications, ranging from divide-and-conquer algorithms to VLSI design. In this work, we present a novel distributed evolutionary algorithm tackling the…

Neural and Evolutionary Computing · Computer Science 2017-02-07 Peter Sanders , Christian Schulz , Darren Strash , Robert Williger

For the degree corrected stochastic block model in the presence of arbitrary or even adversarial outliers, we develop a convex-optimization-based clustering algorithm that includes a penalization term depending on the positive deviation of…

Machine Learning · Computer Science 2019-06-11 Xin Qian , Yudong Chen , Andreea Minca

Scale-free (SF) network structures observed in many complex systems affect the size of epidemic spreading and the efficiency of communication, statistical properties of the degree-degree correlations are important for studying the average…

Disordered Systems and Neural Networks · Physics 2007-05-23 Yukio Hayashi

A complexity-theoretic approach to studying biological networks is proposed. A simple graph representation is used where molecules (DNA, RNA, proteins and chemicals) are vertices and relations between them are directed and signed…

Social and Information Networks · Computer Science 2018-04-25 Ali Atiia , François Major , Jérôme Waldispühl

While the majority of approaches to the characterization of complex networks has relied on measurements considering only the immediate neighborhood of each network node, valuable information about the network topological properties can be…

Statistical Mechanics · Physics 2015-06-24 Luciano da Fontoura Costa , Filipi Nascimento Silva

It is often claimed that the entropy of a network's degree distribution is a proxy for its robustness. Here, we clarify the link between degree distribution entropy and giant component robustness to node removal by showing that the former…

Physics and Society · Physics 2022-09-12 Chris Jones , Karoline Wiesner

In deep multi-task learning, weights of task-specific networks are shared between tasks to improve performance on each single one. Since the question, which weights to share between layers, is difficult to answer, human-designed…

Machine Learning · Computer Science 2020-03-24 Jonas Prellberg , Oliver Kramer

Real networks often have severe degree heterogeneity, with the maximum, average, and minimum node degrees differing significantly. This paper examines the impact of degree heterogeneity on statistical limits of network data analysis.…

Statistics Theory · Mathematics 2024-07-24 Zheng Tracy Ke , Jingming Wang

We find that traditional statistics for measuring degree mixing are strongly affected by superrich nodes. To counteract and measure the effect of superrich nodes, we propose a paradigm to quantify the mixing pattern of a real network in…

Physics and Society · Physics 2015-05-14 Xiao-Ke Xu , Jie Zhang , Junfeng Sun , Michael Small

The evolutionary processes of complex systems contain critical information regarding their functional characteristics. The generation time of edges provides insights into the historical evolution of various networked complex systems, such…

Artificial Intelligence · Computer Science 2025-01-14 En Xu , Can Rong , Jingtao Ding , Yong Li

Although the analysis of loops is not so much because of the complications, it has already been found that heuristically enhancing loops decreases the variance of degree distributions for improving the robustness of connectivity. While many…

Physics and Society · Physics 2025-11-03 Kiri Kawato , Yukio Hayashi

Many biological networks have been labelled scale-free as their degree distribution can be approximately described by a powerlaw distribution. While the degree distribution does not summarize all aspects of a network it has often been…

Molecular Networks · Quantitative Biology 2007-05-23 M. P. H. Stumpf , P. J. Ingram , I. Nouvel , C. Wiuf

Sampling technique has become one of the recent research focuses in the graph-related fields. Most of the existing graph sampling algorithms tend to sample the high degree or low degree nodes in the complex networks because of the…

Social and Information Networks · Computer Science 2018-02-02 Junpeng Zhu , Hui Li , Mei Chen , Zhenyu Dai , Ming Zhu