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Exponential random graph models (ERGMs) are very flexible for modeling network formation but pose difficult estimation challenges due to their intractable normalizing constant. Existing methods, such as MCMC-MLE, rely on sequential…

Social and Information Networks · Computer Science 2025-02-05 Angelo Mele

Taking a pragmatic approach to the processes involved in the phenomena of collective opinion formation, we investigate two specific modifications to the co-evolving network voter model of opinion formation, studied by Holme and Newman [1].…

Physics and Society · Physics 2014-06-24 Nishant Malik , Peter J. Mucha

A general Bayesian framework for model selection on random network models regarding their features is considered. The goal is to develop a principle Bayesian model selection approach to compare different fittable, not necessarily nested,…

Methodology · Statistics 2020-04-30 Papamichalis Marios

The inference of outcomes in dynamic processes from structural features of systems is a crucial endeavor in network science. Recent research has suggested a machine learning-based approach for the interpretation of dynamic patterns emerging…

Physics and Society · Physics 2022-11-15 Aruane M. Pineda , Caroline L. Alves , Colm Connaughton , Francisco A. Rodrigues

In many machine learning problems the output should not depend on the order of the input. Such "permutation invariant" functions have been studied extensively recently. Here we argue that temporal architectures such as RNNs are highly…

Machine Learning · Computer Science 2020-10-27 Edo Cohen-Karlik , Avichai Ben David , Amir Globerson

Network science have constantly been in the focus of research for the last decade, with considerable advances in the controllability of their structural. However, much less effort has been devoted to study that how to improve the…

Systems and Control · Computer Science 2016-10-12 Jiuqiang Xu , Jinfa Wang , Hai Zhao , Siyuan Jia

Existing neural networks are memory-consuming and computationally intensive, making deploying them challenging in resource-constrained environments. However, there are various methods to improve their efficiency. Two such methods are…

Machine Learning · Computer Science 2023-11-10 Anastasiia Prutianova , Alexey Zaytsev , Chung-Kuei Lee , Fengyu Sun , Ivan Koryakovskiy

We introduce a model for innovation-, evolution- and opinion dynamics whose spreading is dictated by unanimity rules, i.e. a node will change its (binary) state only if all of its neighbours have the same corresponding state. It is shown…

Physics and Society · Physics 2008-12-01 Renaud Lambiotte , Stefan Thurner , Rudolf Hanel

A useful sampling-reconstruction model should be stable with respect to different kind of small perturbations, regardless whether they result from jitter, measurement errors, or simply from a small change in the model assumptions. In this…

General Mathematics · Mathematics 2007-05-31 E. costa-Reyes , A. Aldroubi , I. Krishtal

The study of social networks, and in particular the spread of disease on networks, has attracted considerable recent attention in the physics community. In this paper, we show that a large class of standard epidemiological models, the…

Statistical Mechanics · Physics 2009-11-07 M. E. J. Newman

We consider an urn model with multiple drawing and random time-dependent addition matrix. The model is very general with respect to previous literature: the number of sampled balls at each time-step is random, the addition matrix has…

Probability · Mathematics 2021-07-06 Irene Crimaldi , Pierre-Yves Louis , Ida Germana Minelli

Statistical modeling of data sets by neural-network techniques is offered as an alternative to traditional semiempirical approaches to global modeling of nuclear properties. New results are presented to support the position that such novel…

Nuclear Theory · Physics 2017-08-23 J. W. Clark , E. Mavrommatis , S. Athanassopoulos , A. Dakos , K. Gernoth

The control of complex networks is of paramount importance in areas as diverse as ecosystem management, emergency response, and cell reprogramming. A fundamental property of networks is that perturbations to one node can affect other nodes,…

Disordered Systems and Neural Networks · Physics 2013-07-15 Sean P. Cornelius , William L. Kath , Adilson E. Motter

We consider the Bayesian optimal filtering problem: i.e. estimating some conditional statistics of a latent time-series signal from an observation sequence. Classical approaches often rely on the use of assumed or estimated transition and…

Machine Learning · Statistics 2023-03-16 Adrian N. Bishop , Edwin V. Bonilla

Networks are models representing relationships between entities. Often these relationships are explicitly given, or we must learn a representation which generalizes and predicts observed behavior in underlying individual data (e.g.…

Social and Information Networks · Computer Science 2017-09-19 Ivan Brugere , Chris Kanich , Tanya Y. Berger-Wolf

Time series data are everywhere -- from finance to healthcare -- and each domain brings its own unique complexities and structures. While advanced models like Transformers and graph neural networks (GNNs) have gained popularity in time…

Machine Learning · Computer Science 2025-04-01 Fan-Keng Sun , Yu-Cheng Wu , Duane S. Boning

In this work, we describe a new approach that uses deep neural networks (DNN) to obtain regularization parameters for solving inverse problems. We consider a supervised learning approach, where a network is trained to approximate the…

Numerical Analysis · Mathematics 2021-04-15 Babak Maboudi Afkham , Julianne Chung , Matthias Chung

Recurrent Neural Networks (RNNs) are rich models for the processing of sequential data. Recent work on advancing the state of the art has been focused on the optimization or modelling of RNNs, mostly motivated by adressing the problems of…

Dominant sequence models like the Transformer represent structure implicitly through dense attention weights, incurring quadratic complexity. We propose RewriteNets, a novel neural architecture built on an alternative paradigm: explicit,…

Machine Learning · Computer Science 2026-01-14 Harshil Vejendla

Information over-squashing is a phenomenon of inefficient information propagation between distant nodes on networks. It is an important problem that is known to significantly impact the training of graph neural networks (GNNs), as the…

Machine Learning · Statistics 2022-07-19 Jakub Bober , Anthea Monod , Emil Saucan , Kevin N. Webster
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