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In the early days of gene expression data, researchers have focused on gene-level analysis, and particularly on finding differentially expressed genes. This usually involved making a simplifying assumption that genes are independent, which…

应用统计 · 统计学 2021-06-29 Haim Bar , Seojin Bang

A new characteristic of paired nodes in a directed weight complex network is considered. A method (named as K-method) of the characteristics calculation for complex networks is proposed. The method is based on transforming the initial…

社会与信息网络 · 计算机科学 2019-06-26 Andrei Snarskii , Dmyto Lande , Dmyto Manko

Networks are ubiquitous throughout science and engineering. A number of methods, including some from our own group, have explored how one goes about computing or predicting the dynamics of networks given information about internal models of…

分子网络 · 定量生物学 2017-11-06 Gabriel A. Silva

The proliferation of highly capable mobile devices such as smartphones and tablets has significantly increased the demand for wireless access. Software defined network (SDN) at edge is viewed as one promising technology to simplify the…

网络与互联网体系结构 · 计算机科学 2015-10-16 Yanru Zhang , Lanchao Liu , Yunan Gu , Dusit Niyato , Miao Pan , Zhu Han

Theoretical studies on the representation power of GNNs have been centered around understanding the equivalence of GNNs, using WL-Tests for detecting graph isomorphism. In this paper, we argue that such equivalence ignores the accompanying…

机器学习 · 计算机科学 2024-08-26 P. Krishna Kumar a , Harish G. Ramaswamy

It is commonly accepted that some phenomena are social: for example, individuals' smoking habits often correlate with those of their peers. Such correlations can have a variety of explanations, such as direct contagion or shared…

统计理论 · 数学 2025-08-08 William W. Wang , Ali Jadbabaie

Network embedding methods aim at learning low-dimensional latent representation of nodes in a network. While achieving competitive performance on a variety of network inference tasks such as node classification and link prediction, these…

社会与信息网络 · 计算机科学 2018-09-17 Haochen Chen , Xiaofei Sun , Yingtao Tian , Bryan Perozzi , Muhao Chen , Steven Skiena

Backpropagation-optimized artificial neural networks, while precise, lack robustness, leading to unforeseen behaviors that affect their safety. Biological neural systems do solve some of these issues already. Unlike artificial models,…

神经与进化计算 · 计算机科学 2025-02-04 Konstantin Holzhausen , Mia Merlid , Håkon Olav Torvik , Anders Malthe-Sørenssen , Mikkel Elle Lepperød

Granovetter's weak ties theory is a very important sociological theory according to which a correlation between edge weight and the network's topology should exist. More specifically, the neighbourhood overlap of two nodes connected by an…

物理与社会 · 物理学 2024-09-04 Maciej J Mrowinski , Kamil P. Orzechowski , Agata Fronczak , Piotr Fronczak

The principle that 'the brand effect is attractive' underlies preferential attachment. Here we show that the brand effect is just one dimension of attractiveness. Another dimension is competitiveness. We firstly develop a general framework…

物理与社会 · 物理学 2014-05-20 Jin-Li Guo

Weight-sharing plays a significant role in the success of many deep neural networks, by increasing memory efficiency and incorporating useful inductive priors about the problem into the network. But understanding how weight-sharing can be…

机器学习 · 计算机科学 2023-12-15 Oscar Chang , Hod Lipson

Models of complex networks are generally defined as graph stochastic processes in which edges and vertices are added or deleted over time to simulate the evolution of networks. Here, we define a unifying framework - probabilistic inductive…

动力系统 · 数学 2010-11-10 Nataša Kejžar , Zoran Nikoloski , Vladimir Batagelj

Statistical network models are useful for understanding the underlying formation mechanism and characteristics of complex networks. However, statistical models for \textit{signed networks} have been largely unexplored. In signed networks,…

统计方法学 · 统计学 2023-09-04 Weijing Tang , Ji Zhu

This work analyzes the convergence properties of signed networks with nonlinear edge functions. We consider diffusively coupled networks comprised of maximal equilibrium-independent passive (MEIP) dynamics on the nodes, and a general class…

系统与控制 · 计算机科学 2019-03-28 Hao Chen , Daniel Zelazo , Xiangke Wang , Lincheng Shen

Prediction algorithms typically assume the training data are independent samples, but in many modern applications samples come from individuals connected by a network. For example, in adolescent health studies of risk-taking behaviors,…

统计方法学 · 统计学 2018-06-26 Tianxi Li , Elizaveta Levina , Ji Zhu

It is common to use the projection of a bipartite network to measure a unipartite network of interest. For example, scientific collaboration networks are often measured using a co-authorship network, which is the projection of a bipartite…

社会与信息网络 · 计算机科学 2024-04-09 Zachary P. Neal , Jennifer Watling Neal

Network backbones provide useful sparse representations of weighted networks by keeping only their most important links, permitting a range of computational speedups and simplifying network visualizations. A key limitation of existing…

社会与信息网络 · 计算机科学 2025-06-13 Alec Kirkley

We present a physics-inspired method for inferring dynamic rankings in directed temporal networks - networks in which each directed and timestamped edge reflects the outcome and timing of a pairwise interaction. The inferred ranking of each…

The topology of many real complex networks has been conjectured to be embedded in hidden metric spaces, where distances between nodes encode their likelihood of being connected. Besides of providing a natural geometrical interpretation of…

物理与社会 · 物理学 2017-01-23 Antoine Allard , M. Ángeles Serrano , Guillermo García-Pérez , Marián Boguñá

Estimating network formation models with degree heterogeneity raises two problems in empirical networks. First, agents that send no links, receive no links, or link to all remaining agents can make the fixed-effects MLE fail to exist.…

计量经济学 · 经济学 2026-05-04 Zizhong Yan , Jingrong Li , Yi Zhang