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Causality graphs are routinely estimated in social sciences, natural sciences, and engineering due to their capacity to efficiently represent the spatiotemporal structure of multivariate data sets in a format amenable for human…

信号处理 · 电气工程与系统科学 2020-11-16 Bakht Zaman , Luis Miguel Lopez Ramos , Daniel Romero , Baltasar Beferull-Lozano

Optimization in the Bures-Wasserstein space has been gaining popularity in the machine learning community since it draws connections between variational inference and Wasserstein gradient flows. The variational inference objective function…

机器学习 · 计算机科学 2025-03-03 Hoang Phuc Hau Luu , Hanlin Yu , Bernardo Williams , Marcelo Hartmann , Arto Klami

VAR models are a type of multi-equation model that have been widely applied in econometrics. With the arrival of Big Data, huge amounts of data are being collected in numerous fields, making feasible the application of these kind of…

其他计算机科学 · 计算机科学 2017-12-01 Alfonso L. Castaño , Javier Cuenca , Domingo Giménez , Jose J. López-Espín , Alberto Pérez-Bernabeu

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…

统计方法学 · 统计学 2026-05-04 Peiliang Bai

A new realized conditional autoregressive Value-at-Risk (VaR) framework is proposed, through incorporating a measurement equation into the original quantile regression model. The framework is further extended by employing various Expected…

风险管理 · 定量金融 2021-01-18 Chao Wang , Richard Gerlach , Qian Chen

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…

计量经济学 · 经济学 2021-11-02 Yayi Yan , Jiti Gao , Bin Peng

Scaling visual generation models is essential for real-world content creation, yet requires substantial training and computational expenses. Alternatively, test-time scaling has garnered growing attention due to resource efficiency and…

计算机视觉与模式识别 · 计算机科学 2025-10-13 Zhekai Chen , Ruihang Chu , Yukang Chen , Shiwei Zhang , Yujie Wei , Yingya Zhang , Xihui Liu

This paper discusses the practical use of the saddle variational formulation for the weakly-constrained 4D-VAR method in data assimilation. It is shown that the method, in its original form, may produce erratic results or diverge because of…

数值分析 · 数学 2021-05-31 S. Gratton , S. Gürol , E. Simon , Ph. L. Toint

In multivariate time series analysis, spectral coherence measures the linear dependency between two time series at different frequencies. However, real data applications often exhibit nonlinear dependency in the frequency domain.…

统计方法学 · 统计学 2024-03-01 Cristian F. Jiménez-Varón , Ying Sun , Ta-Hsin Li

Time series of individual subjects have become a common data type in psychological research. These data allow one to estimate models of within-subject dynamics, and thereby avoid the notorious problem of making within-subjects inferences…

应用统计 · 统计学 2020-03-16 Jonas M B Haslbeck , Laura F Bringmann , Lourens J Waldorp

Vector autoregressions (VARs) are a widely used tool for modelling multivariate time-series. It is common to assume a VAR is stationary; this can be enforced by imposing the stationarity condition which restricts the parameter space of the…

High-dimensional time series data appear in many scientific areas in the current data-rich environment. Analysis of such data poses new challenges to data analysts because of not only the complicated dynamic dependence between the series,…

统计方法学 · 统计学 2022-06-22 Di Wang , Ruey S. Tsay

This paper introduces a novel Bayesian approach to detect changes in the variance of a Gaussian sequence model, focusing on quantifying the uncertainty in the change point locations and providing a scalable algorithm for inference. Such a…

统计方法学 · 统计学 2025-03-04 Lorenzo Cappello , Oscar Hernan Madrid Padilla

As evidenced by various recent and significant papers within the frequentist literature, along with numerous applications in macroeconomics, genomics, and neuroscience, there continues to be substantial interest to understand the…

统计方法学 · 统计学 2019-06-13 Jonathan P Williams , Yuying Xie , Jan Hannig

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

A Vector Auto-Regressive (VAR) model is commonly used to model multivariate time series, and there are many penalized methods to handle high dimensionality. However in terms of spatio-temporal data, most methods do not take the spatial and…

统计方法学 · 统计学 2020-12-21 Zhenzhong Wang , Abolfazl Safikhani , Zhengyuan Zhu , David S. Matteson

In multivariate time series, the estimation of the covariance matrix of the observation innovations plays an important role in forecasting as it enables the computation of the standardized forecast error vectors as well as it enables the…

统计方法学 · 统计学 2008-02-04 K. Triantafyllopoulos

Simultaneous inference for high-dimensional non-Gaussian time series is always considered to be a challenging problem. Such tasks require not only robust estimation of the coefficients in the random process, but also deriving limiting…

统计方法学 · 统计学 2021-11-03 Linbo Liu , Danna Zhang

The purpose of this paper is to propose a time-varying vector autoregressive model (TV-VAR) for forecasting multivariate time series. The model is casted into a state-space form that allows flexible description and analysis. The volatility…

统计金融 · 定量金融 2008-12-02 K. Triantafyllopoulos

During the last two decades, locally stationary processes have been widely studied in the time series literature. In this paper we consider the locally-stationary vector-auto-regression model of order one, or LS-VAR(1), and estimate its…

统计方法学 · 统计学 2021-04-26 Giovanni Motta