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Understanding the dynamics of functional brain connectivity patterns using noninvasive neuroimaging techniques is an important focus in human neuroscience. Vector autoregressive (VAR) processes and Granger causality analysis (GCA) have been…

Applications · Statistics 2022-09-16 Jingjing Fan , Kevin Sitek , Bharath Chandrasekaran , Abhra Sarkar

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…

Methodology · Statistics 2023-06-16 Di Wang , Xiaoyu Zhang , Guodong Li , Ruey Tsay

Network modeling of high-dimensional time series data is a key learning task due to its widespread use in a number of application areas, including macroeconomics, finance and neuroscience. While the problem of sparse modeling based on…

Methodology · Statistics 2019-03-27 Sumanta Basu , Xianqi Li , George Michailidis

Our goal is to estimate causal interactions in multivariate time series. Using vector autoregressive (VAR) models, these can be defined based on non-vanishing coefficients belonging to respective time-lagged instances. As in most cases a…

Methodology · Statistics 2010-08-13 Stefan Haufe , Guido Nolte , Klaus-Robert Mueller , Nicole Kraemer

Vector autoregressive (VAR) models are widely used for causal discovery and forecasting in multivariate time series analysis. In the high-dimensional setting, which is increasingly common in fields such as neuroscience and econometrics,…

While the Vector Autoregression (VAR) model has received extensive attention for modelling complex time series, quantile VAR analysis remains relatively underexplored for high-dimensional time series data. To address this disparity, we…

Methodology · Statistics 2024-04-30 Wenyang Liu , Ganggang Xu , Jianqing Fan , Xuening Zhu

Causal inference in multivariate time series is challenging due to the fact that the sampling rate may not be as fast as the timescale of the causal interactions. In this context, we can view our observed series as a subsampled version of…

Methodology · Statistics 2017-04-11 Alex Tank , Emily B. Fox , Ali Shojaie

We study the problem of automatically discovering Granger causal relations from observational multivariate time-series data.Vector autoregressive (VAR) models have been time-tested for this problem, including Bayesian variants and more…

Machine Learning · Computer Science 2024-05-27 He Zhao , Vassili Kitsios , Terence J. O'Kane , Edwin V. Bonilla

High-dimensional vector autoregressive (VAR) models are important tools for the analysis of multivariate time series. This paper focuses on high-dimensional time series and on the different regularized estimation procedures proposed for…

Machine Learning · Statistics 2020-06-11 Jonas Krampe , Efstathios Paparoditis

The vector autoregressive (VAR) model has been widely used for modeling temporal dependence in a multivariate time series. For large (and even moderate) dimensions, the number of AR coefficients can be prohibitively large, resulting in…

Applications · Statistics 2013-10-21 Richard A. Davis , Pengfei Zang , Tian Zheng

We consider the problem of learning models for forecasting multiple time-series systems together with discovering the leading indicators that serve as good predictors for the system. We model the systems by linear vector autoregressive…

Machine Learning · Computer Science 2016-11-03 Magda Gregorova , Alexandros Kalousis , Stéphane Marchand-Maillet

Panel vector auto-regressive (VAR) models are widely used to capture the dynamics of multivariate time series across different subpopulations, where each subpopulation shares a common set of variables. In this work, we propose a panel VAR…

Methodology · Statistics 2025-09-22 Yuchen Xu , George Michailidis

This paper develops a method for estimating parameters of a vector autoregression (VAR) observed in white noise. The estimation method assumes the noise variance matrix is known and does not require any iterative process. This study…

Methodology · Statistics 2010-03-01 Alexandre G. Patriota , Joao R. Sato , Betsabe G. Blas

This paper studies multi-horizon Granger causality using high-dimensional local projections in sparse Vector Autoregressive (VAR) systems. Since local projection coefficients are nonlinear transformations of the underlying VAR parameters,…

Econometrics · Economics 2026-02-25 Eugene Dettaa , Endong Wang

Interest in the study and analysis of dynamic processes in the social, behavioral, and health sciences has burgeoned in recent years due to the increased availability of intensive longitudinal data. However, how best to model and account…

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…

Methodology · Statistics 2026-04-14 Younghoon Kim , Changryong Baek

High-dimensional vector autoregressive (VAR) models have numerous applications in fields such as econometrics, biology, climatology, among others. While prior research has mainly focused on linear VAR models, these approaches can be…

Statistics Theory · Mathematics 2025-11-25 Yuefeng Han , Likai Chen , Wei Biao Wu

The objective of transfer learning is to enhance estimation and inference in a target data by leveraging knowledge gained from additional sources. Recent studies have explored transfer learning for independent observations in complex,…

Machine Learning · Statistics 2025-04-23 Mingliang Ma Abolfazl Safikhani

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…

Machine Learning · Statistics 2024-08-08 Malik Shahid Sultan , Samuel Horvath , Hernando Ombao

Vector Auto-Regressive (VAR) models capture lead-lag temporal dynamics of multivariate time series data. They have been widely used in macroeconomics, financial econometrics, neuroscience and functional genomics. In many applications, the…

Methodology · Statistics 2021-10-15 Peiliang Bai , Yue Bai , Abolfazl Safikhani , George Michailidis
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