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We propose a novel Bayesian neural network architecture that can learn invariances from data alone by inferring a posterior distribution over different weight-sharing schemes. We show that our model outperforms other non-invariant…

Machine Learning · Statistics 2021-11-04 Nikolaos Mourdoukoutas , Marco Federici , Georges Pantalos , Mark van der Wilk , Vincent Fortuin

Latent space models for network data characterize each node through a vector of latent features whose pairwise similarities define the edge probabilities among the pairs of nodes. Although this formulation has led to successful…

Methodology · Statistics 2026-04-06 Federico Pavone , Daniele Durante , Robin J. Ryder

Network scientists often use complex dynamic processes to describe network contagions, but tools for fitting contagion models typically assume simple dynamics. Here, we address this gap by developing a nonparametric method to reconstruct a…

Social and Information Networks · Computer Science 2024-10-10 Nicholas W. Landry , William Thompson , Laurent Hébert-Dufresne , Jean-Gabriel Young

This work carries out a detailed transient analysis of the learning behavior of multi-agent networks, and reveals interesting results about the learning abilities of distributed strategies. Among other results, the analysis reveals how…

Multiagent Systems · Computer Science 2015-04-21 Jianshu Chen , Ali H. Sayed

Distribution grids include medium and low voltage lines that are involved in the delivery of electricity from substation to end-users/loads. A distribution grid is operated in a radial/tree-like structure, determined by switching on or off…

Optimization and Control · Mathematics 2016-08-18 Deepjyoti Deka , Scott Backhaus , Michael Chertkov

This work maps deep neural networks to classical Ising spin models, allowing them to be described using statistical thermodynamics. The density of states shows that structures emerge in the weights after they have been trained --…

Statistical Mechanics · Physics 2022-09-20 Dusan Stosic , Darko Stosic , Borko Stosic

We consider the self organizing process of merging and regeneration of vertices in complex networks and demonstrate that a scale-free degree distribution emerges in a steady state of such a dynamics. The merging of neighbor vertices in a…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Beom Jun Kim , Ala Trusina , Petter Minnhagen , Kim Sneppen

We introduce organism networks, which function like a single neural network but are composed of several neural particle networks; while each particle network fulfils the role of a single weight application within the organism network, it is…

Neural and Evolutionary Computing · Computer Science 2023-03-01 Steffen Illium , Maximilian Zorn , Cristian Lenta , Michael Kölle , Claudia Linnhoff-Popien , Thomas Gabor

A spreading process on a network is influenced by the network's underlying spatial structure, and it is insightful to study the extent to which a spreading process follows such structure. We consider a threshold contagion model on a network…

Social and Information Networks · Computer Science 2021-04-06 Barbara I. Mahler

Sparse Neural Networks regained attention due to their potential for mathematical and computational advantages. We give motivation to study Artificial Neural Networks (ANNs) from a network science perspective, provide a technique to embed…

Neural and Evolutionary Computing · Computer Science 2021-12-15 Julian Stier , Michael Granitzer

We consider a model in which agents of different species move over a complex network, are subject to reproduction and compete for resources. The complementary roles of competition and diffusion produce a variety of fixed points, whose…

Physics and Society · Physics 2011-06-21 V. Nicosia , F. Bagnoli , V. Latora

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…

Statistics Theory · Mathematics 2025-08-08 William W. Wang , Ali Jadbabaie

Machine learning-based intrusion detection requires complex models to capture patterns in high-dimensional, noisy, and class-imbalanced raw network traffic, yet deploying such models remains impractical on resource-constrained devices with…

Recently, so-called treebased phylogenetic networks have gained considerable interest in the literature, where a treebased network is a network that can be constructed from a phylogenetic tree, called the base tree, by adding additional…

Populations and Evolution · Quantitative Biology 2019-11-28 Mareike Fischer , Michelle Galla , Lina Herbst , Yangjing Long , Kristina Wicke

Networks are everywhere and their many types, including social networks, the Internet, food webs etc., have been studied for the last few decades. However, in real-world networks, it's hard to find examples that can be easily comparable,…

Social and Information Networks · Computer Science 2018-05-29 Akanda Wahid -Ul- Ashraf , Marcin Budka , Katarzyna Musial

Contact tracing can be thought of as a race between two processes: an infection process and a tracing process. In this paper, we study a simple model of infection spreading on a tree, and a tracer who stabilizes one node at a time. We focus…

Probability · Mathematics 2022-10-25 Michela Meister , Jon Kleinberg

Network embedding, which aims to learn low-dimensional representations of nodes, has been used for various graph related tasks including visualization, link prediction and node classification. Most existing embedding methods rely solely on…

Social and Information Networks · Computer Science 2019-08-22 Palash Goyal , Homa Hosseinmardi , Emilio Ferrara , Aram Galstyan

We investigate the problem of learning to generate complex networks from data. Specifically, we consider whether deep belief networks, dependency networks, and members of the exponential random graph family can learn to generate networks…

Machine Learning · Computer Science 2014-11-11 James Atwood , Don Towsley , Krista Gile , David Jensen

We conduct a sequential social-learning experiment where subjects each guess a hidden state based on private signals and the guesses of a subset of their predecessors. A network determines the observable predecessors, and we compare…

Theoretical Economics · Economics 2021-05-21 Krishna Dasaratha , Kevin He

In many real-world networks, nodes have class labels, attributes, or variables that affect the network's topology. If the topology of the network is known but the labels of the nodes are hidden, we would like to select a small subset of…

Information Theory · Computer Science 2011-09-16 Cristopher Moore , Xiaoran Yan , Yaojia Zhu , Jean-Baptiste Rouquier , Terran Lane
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