English
Related papers

Related papers: Sparse Vector Autoregressive Modeling

200 papers

We propose a Bayesian vector autoregressive (VAR) model for mixed-frequency data. Our model is based on the mean-adjusted parametrization of the VAR and allows for an explicit prior on the 'steady states' (unconditional means) of the…

Econometrics · Economics 2019-11-22 Sebastian Ankargren , Måns Unosson , Yukai Yang

High-dimensional vector autoregressive (VAR) models provide a flexible framework for characterizing dynamic dependence in multivariate spatio-temporal systems, but their unrestricted estimation becomes infeasible when multiple variables are…

Methodology · Statistics 2026-05-04 Peiliang Bai

We reinterpret Visual Autoregressive (VAR) models as iterative refinement models to identify which design choices drive their quality-efficiency trade-off. Instead of treating VAR only as next-scale autoregression, we formalise it as a…

Machine Learning · Computer Science 2026-02-17 Steve Hong , Samuel Belkadi

We propose a parsimonious spatiotemporal model for time series data on a spatial grid. Our model is capable of dealing with high-dimensional time series data that may be collected at hundreds of locations and capturing the spatial…

Methodology · Statistics 2021-03-02 Yuan Yan , Hsin-Cheng Huang , Marc G. Genton

The Vector AutoRegressive Moving Average (VARMA) model is fundamental to the theory of multivariate time series; however, identifiability issues have led practitioners to abandon it in favor of the simpler but more restrictive Vector…

Methodology · Statistics 2021-06-09 Ines Wilms , Sumanta Basu , Jacob Bien , David S. Matteson

High dimensional Vector Autoregressions (VAR) have received a lot of interest recently due to novel applications in health, engineering, finance and the social sciences. Three issues arise when analyzing VAR's: (a) The high dimensional…

Statistics Theory · Mathematics 2022-11-15 Sagnik Halder , George Michailidis

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…

Methodology · Statistics 2022-09-20 Zhihao Hu , Shyam Ranganathan , Yang Shao , Xinwei Deng

Visual AutoRegressive (VAR) modeling has garnered significant attention for its innovative next-scale prediction paradigm. However, mainstream VAR paradigms attend to all tokens across historical scales at each autoregressive step. As the…

Computer Vision and Pattern Recognition · Computer Science 2026-03-31 Zekun Li , Ning Wang , Tongxin Bai , Changwang Mei , Peisong Wang , Shuang Qiu , Jian Cheng

In contemporary neuroscience, a key area of interest is dynamic effective connectivity, which is crucial for understanding the dynamic interactions and causal relationships between different brain regions. Dynamic effective connectivity can…

Methodology · Statistics 2024-05-30 Wei Zhang , Ivor Cribben , sonia Petrone , Michele Guindani

Time series autoregression (AR) is a classical tool for modeling auto-correlations and periodic structures in real-world systems. We revisit this model from an interpretable machine learning perspective by introducing sparse autoregression…

Machine Learning · Computer Science 2025-07-15 Xinyu Chen , Vassilis Digalakis , Lijun Ding , Dingyi Zhuang , Jinhua Zhao

Conventional wisdom suggests that autoregressive models are used to process discrete data. When applied to continuous modalities such as visual data, Visual AutoRegressive modeling (VAR) typically resorts to quantization-based approaches to…

Computer Vision and Pattern Recognition · Computer Science 2025-05-13 Chenze Shao , Fandong Meng , Jie Zhou

This paper aims to decompose a large dimensional vector autoregessive (VAR) model into two components, the first one being generated by a small-scale VAR and the second one being a white noise sequence. Hence, a reduced number of common…

Econometrics · Economics 2022-02-22 Gianluca Cubadda , Alain Hecq

In this paper, we propose a novel and efficient two-stage variable selection approach for sparse GLARMA models, which are pervasive for modeling discrete-valued time series. Our approach consists in iteratively combining the estimation of…

Methodology · Statistics 2020-07-20 M. Gomtsyan , C. Lévy-Leduc , S. Ouadah , L. Sansonnet

A causal vector autoregressive (CVAR) model is introduced for weakly stationary multivariate processes, combining a recursive directed graphical model for the contemporaneous components and a vector autoregressive model longitudinally.…

We develop a non-parametric multivariate time series model that remains agnostic on the precise relationship between a (possibly) large set of macroeconomic time series and their lagged values. The main building block of our model is a…

Econometrics · Economics 2022-11-07 Niko Hauzenberger , Florian Huber , Massimiliano Marcellino , Nico Petz

This paper investigates a partially linear spatial autoregressive panel data model that incorporates fixed effects, constant and time-varying regression coefficients, and a time-varying spatial lag coefficient. A two-stage least squares…

Statistics Theory · Mathematics 2024-10-15 Lingling Tian , Chuanhua Wei , Mixia Wu

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

The availability of data on economic uncertainty sparked a lot of interest in models that can timely quantify episodes of international spillovers of uncertainty. This challenging task involves trading off estimation accuracy for more…

General Economics · Economics 2023-02-07 Niels Gillmann , Ostap Okhrin

In this paper, we propose a novel and efficient two-stage variable selection approach for sparse GLARMA models, which are pervasive for modeling discrete-valued time series. Our approach consists in iteratively combining the estimation of…

Methodology · Statistics 2022-08-31 Marina Gomtsyan , Céline Lévy-Leduc , Sarah Ouadah , Laure Sansonnet , Thomas Blein

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