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We consider high-dimensional distribution estimation through autoregressive networks. By combining the concepts of sparsity, mixtures and parameter sharing we obtain a simple model which is fast to train and which achieves state-of-the-art…

机器学习 · 统计学 2016-04-28 Marc Goessling , Yali Amit

Large-scale recurrent networks have drawn increasing attention recently because of their capabilities in modeling a large variety of real-world phenomena and physical mechanisms. This paper studies how to identify all authentic connections…

机器学习 · 统计学 2015-06-23 Yiyuan She , Yuejia He , Dapeng Wu

In this paper, we introduce a conceptual framework that model human social networks as an undirected dot-product graph of independent individuals. Their relationships are only determined by a cost-benefit analysis, i.e. by maximizing an…

概率论 · 数学 2024-11-26 Aldric Labarthe , Yann Kerzreho

Networks observed in real world like social networks, collaboration networks etc., exhibit temporal dynamics, i.e. nodes and edges appear and/or disappear over time. In this paper, we propose a generative, latent space based, statistical…

社会与信息网络 · 计算机科学 2018-11-08 Shubham Gupta , Gaurav Sharma , Ambedkar Dukkipati

Empirical networks are often globally sparse, with a small average number of connections per node, when compared to the total size of the network. However, this sparsity tends not to be homogeneous, and networks can also be locally dense,…

物理与社会 · 物理学 2020-07-20 Tiago P. Peixoto

Modern social networks frequently encompass multiple distinct types of connectivity information; for instance, explicitly acknowledged friend relationships might complement behavioral measures that link users according to their actions or…

社会与信息网络 · 计算机科学 2015-06-17 Brandon Oselio , Alex Kulesza , Alfred O. Hero

We describe a method to construct directed networks from multivariate time series which has several advantages over the widely accepted methods. This method is based on an information theoretic reduction of linear (auto-regressive) models.…

数据分析、统计与概率 · 物理学 2018-08-13 Toshihiro Tanizawa , Tomomichi Nakamura , Fumihiko Taya , Michael Small

Historically studies of behaviour on networks have focused on the behaviour of individuals (node-based) or on the aggregate behaviour of the entire network. We propose a new method to decompose a temporal network into macroscale components…

社会与信息网络 · 计算机科学 2018-08-16 Andrew Mellor

We study a sequential-learning model featuring a network of naive agents with Gaussian information structures. Agents apply a heuristic rule to aggregate predecessors' actions. They weigh these actions according the strengths of their…

经济学 · 定量金融 2020-05-05 Krishna Dasaratha , Kevin He

Dynamic networks are commonly used in applications where relational data is observed over time. Statistical models for such data should capture not only the temporal dependencies between networks observed in time, but also the structural…

统计方法学 · 统计学 2017-04-10 Jihui Lee , Gen Li , James D. Wilson

This study proposes a novel functional vector autoregressive framework for analyzing network interactions of functional outcomes in panel data settings. In this framework, an individual's outcome function is influenced by the outcomes of…

统计方法学 · 统计学 2026-02-27 Tomohiro Ando , Tadao Hoshino

Temporal exponential random graph models (TERGM) are powerful statistical models that can be used to infer the temporal pattern of edge formation and elimination in complex networks (e.g., social networks). TERGMs can also be used in a…

社会与信息网络 · 计算机科学 2024-09-17 Yifan Huang , Clayton Barham , Eric Page , PK Douglas

Many scientific areas, from computer science to the environmental sciences and finance, give rise to multivariate time series which exhibit long memory, or loosely put, a slow decay in their autocorrelation structure. Efficient modelling…

统计方法学 · 统计学 2025-12-12 Chiara Boetti , Matthew A. Nunes , Marina I. Knight

This paper proposes an autoregressive (AR) model for sequences of graphs, which generalises traditional AR models. A first novelty consists in formalising the AR model for a very general family of graphs, characterised by a variable…

机器学习 · 计算机科学 2019-03-19 Daniele Zambon , Daniele Grattarola , Lorenzo Livi , Cesare Alippi

In this work we present a novel recurrent neural network architecture designed to model systems characterized by multiple characteristic timescales in their dynamics. The proposed network is composed by several recurrent groups of neurons…

神经与进化计算 · 计算机科学 2017-01-19 Filippo Maria Bianchi , Michael Kampffmeyer , Enrico Maiorino , Robert Jenssen

Multidimensional network data can have different levels of complexity, as nodes may be characterized by heterogeneous individual-specific features, which may vary across the networks. This paper introduces a class of models for…

统计方法学 · 统计学 2021-04-01 Silvia D'Angelo , Marco Alfò , Thomas Brendan Murphy

Dependence between nodes in a network is an important concept that pervades many areas including finance, politics, sociology, genomics and the brain sciences. One way to characterize dependence between components of a multivariate time…

机器学习 · 统计学 2024-08-08 Malik Shahid Sultan , Samuel Horvath , Hernando Ombao

Dynamic multilayer networks are frequently used to describe the structure and temporal evolution of multiple relationships among common entities, with applications in fields such as sociology, economics, and neuroscience. However,…

统计方法学 · 统计学 2026-04-06 Runshi Tang , Runbing Zheng , Anru R. Zhang , Carey E. Priebe

Network time series are becoming increasingly important across many areas in science and medicine and are often characterised by a known or inferred underlying network structure, which can be exploited to make sense of dynamic phenomena…

统计方法学 · 统计学 2023-12-04 Guy Nason , Daniel Salnikov , Mario Cortina-Borja

The Linear Threshold Model is a widely used model that describes how information diffuses through a social network. According to this model, an individual adopts an idea or product after the proportion of their neighbors who have adopted it…

社会与信息网络 · 计算机科学 2022-01-28 Christopher Tran , Elena Zheleva