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Autoregressive (AR) models remain widely used in time series analysis due to their interpretability, but convencional parameter estimation methods can be computationally expensive and prone to convergence issues. This paper proposes a…

机器学习 · 统计学 2026-03-20 Anaísa Lucena , Ana Martins , Armando J. Pinho , Sónia Gouveia

This paper introduces a flexible time-varying network vector autoregressive model framework for large-scale time series. A latent group structure is imposed on the heterogeneous and node-specific time-varying momentum and network spillover…

统计方法学 · 统计学 2024-03-12 Degui Li , Bin Peng , Songqiao Tang , Weibiao Wu

In the analysis of complex networks, centrality measures and community structures play pivotal roles. For multilayer networks, a critical challenge lies in effectively integrating information across diverse layers while accounting for the…

统计方法学 · 统计学 2025-03-28 Zhuoye Han , Tiandong Wang , Zhiliang Ying

Time Series forecasting (univariate and multivariate) is a problem of high complexity due the different patterns that have to be detected in the input, ranging from high to low frequencies ones. In this paper we propose a new model for…

机器学习 · 计算机科学 2019-03-07 Matteo Maggiolo , Gerasimos Spanakis

Identifying network Granger causality in large vector autoregressive (VAR) models enhances explanatory power by capturing complex dependencies among variables. This study proposes a methodology that explores latent community structures to…

统计方法学 · 统计学 2026-04-14 Younghoon Kim , Changryong Baek

Causal structure discovery in complex dynamical systems is an important challenge for many scientific domains. Although data from (interventional) experiments is usually limited, large amounts of observational time series data sets are…

机器学习 · 计算机科学 2021-10-19 Bart Bussmann , Jannes Nys , Steven Latré

Conditional neural processes (CNPs; Garnelo et al., 2018a) are attractive meta-learning models which produce well-calibrated predictions and are trainable via a simple maximum likelihood procedure. Although CNPs have many advantages, they…

In economic and financial applications, there is often the need for analysing multivariate time series, comprising of time series for a range of quantities. In some applications such complex systems can be associated with some underlying…

统计方法学 · 统计学 2023-09-27 Anastasia Mantziou , Mihai Cucuringu , Victor Meirinhos , Gesine Reinert

In data science, vector autoregression (VAR) models are popular in modeling multivariate time series in the environmental sciences and other applications. However, these models are computationally complex with the number of parameters…

统计方法学 · 统计学 2022-09-20 Zhihao Hu , Shyam Ranganathan , Yang Shao , Xinwei Deng

High-dimensional autoregressive point processes model how current events trigger or inhibit future events, such as activity by one member of a social network can affect the future activity of his or her neighbors. While past work has…

机器学习 · 统计学 2020-03-18 Lili Zheng , Garvesh Raskutti , Rebecca Willett , Benjamin Mark

Network regression models, where the outcome comprises the valued edge in a network and the predictors are actor or dyad-level covariates, are used extensively in the social and biological sciences. Valid inference relies on accurately…

统计方法学 · 统计学 2021-06-09 Mengjie Pan , Tyler H. McCormick , Bailey K. Fosdick

The original generalized network autoregressive models are poor for modelling count data as they are based on the additive and constant noise assumptions, which is usually inappropriate for count data. We introduce two new models (GNARI and…

统计方法学 · 统计学 2025-12-12 Hengxu Liu , Guy Nason

We study the dynamics of matrix-valued time series with observed network structures by proposing a matrix network autoregression model with row and column networks of the subjects. We incorporate covariate information and a low rank…

统计方法学 · 统计学 2023-02-07 Xuening Zhu , Feifei Wang , Zeng Li , Yanyuan Ma

The autoregressive (AR) models, such as attention-based encoder-decoder models and RNN-Transducer, have achieved great success in speech recognition. They predict the output sequence conditioned on the previous tokens and acoustic encoded…

音频与语音处理 · 电气工程与系统科学 2022-04-06 Zhengkun Tian , Jiangyan Yi , Jianhua Tao , Ye Bai , Shuai Zhang , Zhengqi Wen , Xuefei Liu

We propose a first-order autoregressive (i.e. AR(1)) model for dynamic network processes in which edges change over time while nodes remain unchanged. The model depicts the dynamic changes explicitly. It also facilitates simple and…

统计方法学 · 统计学 2022-05-12 Binyan Jiang , Jailing Li , Qiwei Yao

High-dimensional panels of time series often arise in finance and macroeconomics, where co-movements within groups of panel components occur. Extracting these groupings from the data provides a coarse-grained description of the complex…

统计方法学 · 统计学 2025-11-11 Brendan Martin , Francesco Sanna Passino , Mihai Cucuringu , Alessandra Luati

The reduced-rank vector autoregressive (VAR) model can be interpreted as a supervised factor model, where two factor modelings are simultaneously applied to response and predictor spaces. This article introduces a new model, called vector…

统计方法学 · 统计学 2023-06-16 Di Wang , Xiaoyu Zhang , Guodong Li , Ruey Tsay

Temporal networks have been widely used to model real-world complex systems such as financial systems and e-commerce systems. In a temporal network, the joint neighborhood of a set of nodes often provides crucial structural information…

机器学习 · 计算机科学 2022-12-02 Yuhong Luo , Pan Li

Visual autoregressive models typically adhere to a raster-order ``next-token prediction" paradigm, which overlooks the spatial and temporal locality inherent in visual content. Specifically, visual tokens exhibit significantly stronger…

计算机视觉与模式识别 · 计算机科学 2025-03-17 Yefei He , Yuanyu He , Shaoxuan He , Feng Chen , Hong Zhou , Kaipeng Zhang , Bohan Zhuang

This article studies identification and estimation for the network vector autoregressive model with nonstationary regressors. In particular, network dependence is characterized by a nonstochastic adjacency matrix. The information set…

计量经济学 · 经济学 2024-01-09 Christis Katsouris