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We introduce SpinSVAR, a novel method for estimating a structural vector autoregression (SVAR) from time-series data under sparse input assumption. Unlike prior approaches using Gaussian noise, we model the input as independent Laplacian…

Machine Learning · Computer Science 2025-02-24 Panagiotis Misiakos , Markus Püschel

One popular approach for nonstructural economic and financial forecasting is to include a large number of economic and financial variables, which has been shown to lead to significant improvements for forecasting, for example, by the…

Machine Learning · Statistics 2011-06-21 Song Song , Peter J. Bickel

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

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…

Methodology · Statistics 2025-11-11 Brendan Martin , Francesco Sanna Passino , Mihai Cucuringu , Alessandra Luati

We propose a high-dimensional structural vector autoregression framework with a factor structure in the error terms that accommodates a large number of linear inequality restrictions on both impact impulse responses and structural shocks.…

Econometrics · Economics 2026-05-20 Lukas Berend , Jan Prüser

We study the problem of modelling high-dimensional, heavy-tailed time series data via a factor-adjusted vector autoregressive (VAR) model, which simultaneously accounts for pervasive co-movements of the variables by a handful of factors, as…

Methodology · Statistics 2026-04-27 Dylan Dijk , Haeran Cho

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,…

Vector autoregression (VAR) models are widely used to analyze the interrelationship between multiple variables over time. Estimation and inference for the transition matrices of VAR models are crucial for practitioners to make decisions in…

Methodology · Statistics 2020-09-22 Ke Zhu , Hanzhong Liu

We introduce \underline{F}actor-\underline{A}ugmented \underline{Ma}trix \underline{R}egression (FAMAR) to address the growing applications of matrix-variate data and their associated challenges, particularly with high-dimensionality and…

Methodology · Statistics 2024-05-29 Elynn Chen , Jianqing Fan , Xiaonan Zhu

While considerable advances have been made in estimating high-dimensional structured models from independent data using Lasso-type models, limited progress has been made for settings when the samples are dependent. We consider estimating…

Statistics Theory · Mathematics 2016-03-01 Igor Melnyk , Arindam Banerjee

This paper introduces non-linear dimension reduction in factor-augmented vector autoregressions to analyze the effects of different economic shocks. I argue that controlling for non-linearities between a large-dimensional dataset and the…

Econometrics · Economics 2023-09-12 Karin Klieber

We study one particular type of multivariate spatial autoregression (MSAR) model with diverging dimensions in both responses and covariates. This makes the usual MSAR models no longer applicable due to the high computational cost. To…

Methodology · Statistics 2025-09-03 Jiaxin Shi , Xuening Zhu , Jing Zhou , Baichen Yu , Hansheng Wang

Vector autoregressive (VAR) models are widely used in practical studies, e.g., forecasting, modelling policy transmission mechanism, and measuring connection of economic agents. To better capture the dynamics, this paper introduces a new…

Econometrics · Economics 2021-11-02 Yayi Yan , Jiti Gao , Bin Peng

High dimensional vector autoregressive (VAR) models require a large number of parameters to be estimated and may suffer of inferential problems. We propose a new Bayesian nonparametric (BNP) Lasso prior (BNP-Lasso) for high-dimensional VAR…

Economics · Quantitative Finance 2018-10-30 Monica Billio , Roberto Casarin , Luca Rossini

Vector autoregression (VAR) models are widely used for forecasting and macroeconomic analysis, yet they remain limited by their reliance on a linear parameterization. Recent research has introduced nonparametric alternatives, such as…

Methodology · Statistics 2025-03-19 Pedro A. Lima , Carlos M. Carvalho , Hedibert F. Lopes , Andrew Herren

This paper investigates the high-dimensional linear regression with highly correlated covariates. In this setup, the traditional sparsity assumption on the regression coefficients often fails to hold, and consequently many model selection…

Methodology · Statistics 2019-03-26 Jianqing Fan , Bai Jiang , Qiang Sun

Visual autoregressive modeling, based on the next-scale prediction paradigm, exhibits notable advantages in image quality and model scalability over traditional autoregressive and diffusion models. It generates images by progressively…

Computer Vision and Pattern Recognition · Computer Science 2025-07-29 Zhuokun Chen , Jugang Fan , Zhuowei Yu , Bohan Zhuang , Mingkui Tan

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…

Methodology · Statistics 2024-03-12 Degui Li , Bin Peng , Songqiao Tang , Weibiao Wu

The vector autoregressive (VAR) model is a powerful tool in modeling complex time series and has been exploited in many fields. However, fitting high dimensional VAR model poses some unique challenges: On one hand, the dimensionality,…

Machine Learning · Statistics 2014-10-30 Fang Han , Huanran Lu , Han Liu

This article investigates factor-augmented sparse MIDAS (Mixed Data Sampling) regressions for high-dimensional time series data, which may be observed at different frequencies. Our novel approach integrates sparse and dense dimensionality…

Econometrics · Economics 2025-10-17 Jad Beyhum , Jonas Striaukas