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Standard high-dimensional regression methods assume that the underlying coefficient vector is sparse. This might not be true in some cases, in particular in presence of hidden, confounding variables. Such hidden confounding can be…

统计方法学 · 统计学 2020-08-19 Domagoj Ćevid , Peter Bühlmann , Nicolai Meinshausen

We conduct a simulation study of Local Projection (LP) and Vector Autoregression (VAR) estimators of structural impulse responses across thousands of data generating processes, designed to mimic the properties of the universe of U.S.…

计量经济学 · 经济学 2024-01-24 Dake Li , Mikkel Plagborg-Møller , Christian K. Wolf

This paper study sparse classification problems. We show that under single-index models, vanilla Lasso could give good estimate of unknown parameters. With this result, we see that even if the model is not linear, and even if the response…

统计理论 · 数学 2015-12-22 Jiyi Liu , Jinzhu Jia

Local projections (LP) and vector autoregressions (VAR) are the two standard tools for impulse response analysis, but they often display a finite-sample trade-off: LP is typically less biased but more volatile, while VAR is more precise but…

计量经济学 · 经济学 2026-05-08 Chaoyi Chen , Elena Pesavento , Balazs Vonnak

Fitting sparse models to high-dimensional time series is an important area of statistical inference. In this paper we consider sparse vector autoregressive models and develop appropriate bootstrap methods to infer properties of such…

统计方法学 · 统计学 2019-09-25 J. Krampe , J-P. Kreiss , E. Paparoditis

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

A widely applied approach to causal inference from a non-experimental time series $X$, often referred to as "(linear) Granger causal analysis", is to regress present on past and interpret the regression matrix $\hat{B}$ causally. However,…

机器学习 · 统计学 2015-12-23 Philipp Geiger , Kun Zhang , Mingming Gong , Dominik Janzing , Bernhard Schölkopf

This paper proposes a bootstrap-assisted procedure to conduct simultaneous inference for high dimensional sparse linear models based on the recent de-sparsifying Lasso estimator (van de Geer et al. 2014). Our procedure allows the dimension…

统计理论 · 数学 2016-03-07 Xianyang Zhang , Guang Cheng

Visual Autoregressive (VAR) models have emerged as a powerful paradigm for image synthesis by performing hierarchical next-scale prediction. However, VAR models are inherently prone to cascading error propagation, where subtle coarse-scale…

计算机视觉与模式识别 · 计算机科学 2026-05-26 Ligong Bi , Tao Huang , Jianyuan Guo , Chang Xu

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…

统计方法学 · 统计学 2025-09-03 Jiaxin Shi , Xuening Zhu , Jing Zhou , Baichen Yu , Hansheng Wang

Autoregressive attention-based time series forecasting (TSF) has drawn increasing interest, with mechanisms like linear attention sometimes outperforming vanilla attention. However, deeper Transformer architectures frequently misalign with…

机器学习 · 计算机科学 2026-02-06 Jiecheng Lu , Shihao Yang

Visual Autoregressive (VAR) models have recently garnered significant attention for their innovative next-scale prediction paradigm, offering notable advantages in both inference efficiency and image quality compared to traditional…

计算机视觉与模式识别 · 计算机科学 2025-11-24 Tong Wang , Guanyu Yang , Nian Liu , Kai Wang , Yaxing Wang , Abdelrahman M Shaker , Salman Khan , Fahad Shahbaz Khan , Senmao Li

We consider a class of vector autoregressive models with banded coefficient matrices. The setting represents a type of sparse structure for high-dimensional time series, though the implied autocovariance matrices are not banded. The…

统计方法学 · 统计学 2016-08-31 Shaojun Guo , Yazhen Wang , Qiwei Yao

This paper is concerned with high-dimensional panel data models where the number of regressors can be much larger than the sample size. Under the assumption that the true parameter vector is sparse we propose a panel-Lasso estimator and…

统计理论 · 数学 2014-02-14 Anders Bredahl Kock

Least absolute shrinkage and selection operator (Lasso), a popular method for high-dimensional regression, is now used widely for estimating high-dimensional time series models such as the vector autoregression (VAR). Selecting its tuning…

统计方法学 · 统计学 2025-12-16 Tathagata Sadhukhan , Ines Wilms , Stephan Smeekes , Sumanta Basu

We present a windowed technique to learn parsimonious time-varying autoregressive models from multivariate timeseries. This unsupervised method uncovers interpretable spatiotemporal structure in data via non-smooth and non-convex…

机器学习 · 统计学 2020-05-21 Kameron Decker Harris , Aleksandr Aravkin , Rajesh Rao , Bingni Wen Brunton

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

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

We consider the problem of sparse variable selection on high dimension heterogeneous data sets, which has been taking on renewed interest recently due to the growth of biological and medical data sets with complex, non-i.i.d. structures and…

统计方法学 · 统计学 2024-04-22 Hui Liu , Xiang Liu , Jing Diao , Wenting Ye , Xueling Liu , Dehui Wei

With uncertain changes of the economic environment, macroeconomic downturns during recessions and crises can hardly be explained by a Gaussian structural shock. There is evidence that the distribution of macroeconomic variables is skewed…

计量经济学 · 经济学 2021-05-25 Sune Karlsson , Stepan Mazur , Hoang Nguyen