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The vast majority of models for the spread of communicable diseases are parametric in nature and involve underlying assumptions about how the disease spreads through a population. In this article we consider the use of Bayesian…

统计方法学 · 统计学 2017-06-12 Theodore Kypraios , Philip D. O'Neill

We propose a novel class of network models for temporal dyadic interaction data. Our goal is to capture a number of important features often observed in social interactions: sparsity, degree heterogeneity, community structure and…

机器学习 · 统计学 2018-10-30 Xenia Miscouridou , François Caron , Yee Whye Teh

Although real-world complex systems typically interact through sparse and heterogeneous networks, analytic solutions of their dynamics are limited to models with all-to-all interactions. Here, we solve the dynamics of a broad range of…

无序系统与神经网络 · 物理学 2025-01-28 Fernando L. Metz

Mathematical models of cognition are often memoryless and ignore potential fluctuations of their parameters. However, human cognition is inherently dynamic. Thus, we propose to augment mechanistic cognitive models with a temporal dimension…

统计方法学 · 统计学 2023-09-21 Lukas Schumacher , Paul-Christian Bürkner , Andreas Voss , Ullrich Köthe , Stefan T. Radev

We introduce a time-varying network model accounting for burstiness and tie reinforcement observed in social networks. The analytical solution indicates a non-trivial phase diagram determined by the competition of the leading terms of the…

物理与社会 · 物理学 2018-08-02 Enrico Ubaldi , Alessandro Vezzani , Marton Karsai , Nicola Perra , Raffaella Burioni

We propose a new Bayesian Markov switching regression model for multidimensional arrays (tensors) of binary time series. We assume a zero-inflated logit regression with time-varying parameters and apply it to multilayer temporal networks.…

统计方法学 · 统计学 2019-07-05 Monica Billio , Roberto Casarin , Matteo Iacopini

Temporal networks have been increasingly used to model a diversity of systems that evolve in time; for example human contact structures over which dynamic processes such as epidemics take place. A fundamental aspect of real-life networks is…

物理与社会 · 物理学 2017-11-08 Luis E C Rocha , Naoki Masuda , Petter Holme

We propose a nonparametric approach to link prediction in large-scale dynamic networks. Our model uses graph-based features of pairs of nodes as well as those of their local neighborhoods to predict whether those nodes will be linked at…

机器学习 · 统计学 2013-11-19 Purnamrita Sarkar , Deepayan Chakrabarti , Michael Jordan

Hierarchical Bayesian models are increasingly used in large, inhomogeneous complex network dynamical systems by modeling parameters as draws from a hyperparameter-governed distribution. However, theoretical guarantees for these estimates as…

统计理论 · 数学 2026-01-23 Yi Yu , Yubo Hou , Yinchong Wang , Nan Zhang , Jianfeng Feng , Wenlian Lu

Sparsity-promoting priors have become increasingly popular over recent years due to an increased number of regression and classification applications involving a large number of predictors. In time series applications where observations are…

统计方法学 · 统计学 2012-03-02 François Caron , Luke Bornn , Arnaud Doucet

There is increasing interest in learning how human brain networks vary as a function of a continuous trait, but flexible and efficient procedures to accomplish this goal are limited. We develop a Bayesian semiparametric model, which…

统计方法学 · 统计学 2017-02-02 Lu Wang , Daniele Durante , Rex E. Jung , David B. Dunson

We propose a novel dynamic network model to capture evolving latent communities within temporal networks. To achieve this, we decompose each observed dynamic edge between vertices using a Poisson-gamma edge partition model, assigning each…

社会与信息网络 · 计算机科学 2024-11-19 Xincan Yu , Sikun Yang

We propose a Bayesian nonparametric approach to the problem of jointly modeling multiple related time series. Our approach is based on the discovery of a set of latent, shared dynamical behaviors. Using a beta process prior, the size of the…

统计方法学 · 统计学 2011-11-21 Emily B. Fox , Erik B. Sudderth , Michael I. Jordan , Alan S. Willsky

Dynamic networks models describe a growing number of important scientific processes, from cell biology and epidemiology to sociology and finance. There are many aspects of dynamical networks that require statistical considerations. In this…

统计方法学 · 统计学 2012-05-15 E. C. Wit , A. Abbruzzo

We present a Bayesian nonparametric system reliability model which scales well and provides a great deal of flexibility in modeling. The Bayesian approach naturally handles the disparate amounts of component and subsystem data that may…

统计方法学 · 统计学 2022-03-22 Richard L. Warr , Jeremy M. Meyer , Jackson T. Curtis

Modeling structure in complex networks using Bayesian non-parametrics makes it possible to specify flexible model structures and infer the adequate model complexity from the observed data. This paper provides a gentle introduction to…

机器学习 · 统计学 2013-12-23 Mikkel N. Schmidt , Morten Mørup

Many real-world processes evolve in cascades over complex networks, whose topologies are often unobservable and change over time. However, the so-termed adoption times when blogs mention popular news items, individuals in a community catch…

社会与信息网络 · 计算机科学 2013-09-30 Brian Baingana , Gonzalo Mateos , Georgios B. Giannakis

The purpose of this paper is to provide a discussion, with illustrating examples, on Bayesian forecasting for dynamic generalized linear models (DGLMs). Adopting approximate Bayesian analysis, based on conjugate forms and on Bayes linear…

统计方法学 · 统计学 2008-02-05 K. Triantafyllopoulos

We propose a procedure to generate dynamical networks with bursty, possibly repetitive and correlated temporal behaviors. Regarding any weighted directed graph as being composed of the accumulation of paths between its nodes, our…

物理与社会 · 物理学 2013-04-10 Alain Barrat , Bastien Fernandez , Kevin K Lin , Lai-Sang Young

Bio-inspired paradigms are proving to be useful in analyzing propagation and dissemination of information in networks. In this paper we explore the use of multi-type branching processes to analyse viral properties of content in a social…

概率论 · 数学 2020-01-01 Ranbir Dhounchak , Veeraruna Kavitha , Eitan Altman