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While seasonality inherent to raw macroeconomic data is commonly removed by seasonal adjustment techniques before it is used for structural inference, this may distort valuable information in the data. As an alternative method to commonly…

计量经济学 · 经济学 2025-08-12 Daniel Dzikowski , Carsten Jentsch

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

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…

机器学习 · 计算机科学 2024-05-27 He Zhao , Vassili Kitsios , Terence J. O'Kane , Edwin V. Bonilla

We develop a Bayesian non-parametric quantile panel regression model. Within each quantile, the response function is a convex combination of a linear model and a non-linear function, which we approximate using Bayesian Additive Regression…

计量经济学 · 经济学 2021-10-08 Todd E. Clark , Florian Huber , Gary Koop , Massimiliano Marcellino , Michael Pfarrhofer

We perform Bayesian optimization using a Gaussian process perspective on Bayesian Additive Regression Trees (BART). Our BART Kernel (BARK) uses tree agreement to define a posterior over piecewise-constant functions, and we explore the space…

机器学习 · 计算机科学 2025-06-09 Toby Boyne , Jose Pablo Folch , Robert M Lee , Behrang Shafei , Ruth Misener

In many modern applications, including analysis of gene expression and text documents, the data are noisy, high-dimensional, and unordered--with no particular meaning to the given order of the variables. Yet, successful learning is often…

统计方法学 · 统计学 2008-07-25 Ann B. Lee , Boaz Nadler , Larry Wasserman

As a special infinite-order vector autoregressive (VAR) model, the vector autoregressive moving average (VARMA) model can capture much richer temporal patterns than the widely used finite-order VAR model. However, its practicality has long…

统计方法学 · 统计学 2024-02-27 Yao Zheng

A threshold autoregressive (TAR) model is a powerful tool for analyzing nonlinear multivariate time series, which includes special cases like self-exciting threshold autoregressive (SETAR) models and vector autoregressive (VAR) models. In…

统计方法学 · 统计学 2025-03-07 L. H. Vanegas , S. A. Calderón , L. M. Rondón

Multiple Additive Regression Trees (MART), an ensemble model of boosted regression trees, is known to deliver high prediction accuracy for diverse tasks, and it is widely used in practice. However, it suffers an issue which we call…

机器学习 · 计算机科学 2015-05-11 K. V. Rashmi , Ran Gilad-Bachrach

In all areas of human knowledge, datasets are increasing in both size and complexity, creating the need for richer statistical models. This trend is also true for economic data, where high-dimensional and nonlinear/nonparametric inference…

计量经济学 · 经济学 2021-12-23 Dimitris Korobilis , Kenichi Shimizu

Vector autoregression has been widely used for modeling and analysis of multivariate time series data. In high-dimensional settings, model parameter regularization schemes inducing sparsity yield interpretable models and achieved good…

统计方法学 · 统计学 2023-06-08 Leo L. Duan , Zeyu Yuwen , George Michailidis , Zhengwu Zhang

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…

统计方法学 · 统计学 2020-09-22 Ke Zhu , Hanzhong Liu

Many complex dynamical phenomena can be effectively modeled by a system that switches among a set of conditionally linear dynamical modes. We consider two such models: the switching linear dynamical system (SLDS) and the switching vector…

统计方法学 · 统计学 2015-05-18 Emily B. Fox , Erik B. Sudderth , Michael I. Jordan , Alan S. Willsky

Jointly modeling and forecasting economic and financial variables across a large set of countries has long been a significant challenge. Two primary approaches have been utilized to address this issue: the vector autoregressive model with…

机器学习 · 统计学 2025-03-12 Sanyou Wu , Dan Yang , Yan Xu , Long Feng

The R package BigVAR allows for the simultaneous estimation of high-dimensional time series by applying structured penalties to the conventional vector autoregression (VAR) and vector autoregression with exogenous variables (VARX)…

统计计算 · 统计学 2017-02-24 William Nicholson , David Matteson , Jacob Bien

Variable selection techniques have become increasingly popular amongst statisticians due to an increased number of regression and classification applications involving high-dimensional data where we expect some predictors to be unimportant.…

统计方法学 · 统计学 2010-09-20 Anthony Lee , Francois Caron , Arnaud Doucet , Chris Holmes

Learning vector autoregressive models from multivariate time series is conventionally approached through least squares or maximum likelihood estimation. These methods typically assume a fully connected model which provides no direct insight…

统计计算 · 统计学 2021-09-24 Kimmo Suotsalo , Yingying Xu , Jukka Corander , Johan Pensar

VARs are often estimated with Bayesian techniques to cope with model dimensionality. The posterior means define a class of shrinkage estimators, indexed by hyperparameters that determine the relative weight on maximum likelihood estimates…

计量经济学 · 经济学 2025-02-07 Oriol González-Casasús , Frank Schorfheide

We develop a Bayesian methodology aimed at simultaneously estimating low-rank and row-sparse matrices in a high-dimensional multiple-response linear regression model. We consider a carefully devised shrinkage prior on the matrix of…

统计方法学 · 统计学 2019-04-10 Antik Chakraborty , Anirban Bhattacharya , Bani K. Mallick

Purpose: To develop a deep-learning-based image reconstruction framework for reproducible research in MRI. Methods: The BART toolbox offers a rich set of implementations of calibration and reconstruction algorithms for parallel imaging and…

计算机视觉与模式识别 · 计算机科学 2024-02-20 Moritz Blumenthal , Guanxiong Luo , Martin Schilling , H. Christian M. Holme , Martin Uecker