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In this contribution we introduce weakly locally stationary time series through the local approximation of the non-stationary covariance structure by a stationary one. This allows us to define autoregression coefficients in a non-stationary…

统计理论 · 数学 2018-01-16 François Roueff , Andres Sanchez-Perez

In this paper we tackle Image Super Resolution (ISR), using recent advances in Visual Auto-Regressive (VAR) modeling. VAR iteratively estimates the residual in latent space between gradually increasing image scales, a process referred to as…

计算机视觉与模式识别 · 计算机科学 2025-06-06 Enrique Sanchez , Isma Hadji , Adrian Bulat , Christos Tzelepis , Brais Martinez , Georgios Tzimiropoulos

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

Inference by means of mathematical modeling from a collection of observations remains a crucial tool for scientific discovery and is ubiquitous in application areas such as signal compression, imaging restoration, and supervised machine…

数值分析 · 数学 2022-07-19 Matthias Chung , Rosemary Renaut

Vector AutoRegressive Moving Average (VARMA) models form a powerful and general model class for analyzing dynamics among multiple time series. While VARMA models encompass the Vector AutoRegressive (VAR) models, their popularity in…

统计方法学 · 统计学 2024-07-01 Marie-Christine Düker , David S. Matteson , Ruey S. Tsay , Ines Wilms

Recent advances in diffusion models have brought remarkable visual fidelity to instruction-guided image editing. However, their global denoising process inherently entangles the edited region with the entire image context, leading to…

计算机视觉与模式识别 · 计算机科学 2026-02-09 Qingyang Mao , Qi Cai , Yehao Li , Yingwei Pan , Mingyue Cheng , Ting Yao , Qi Liu , Tao Mei

In this work, we explore the forecasting ability of a recently proposed normalizing and variance-stabilizing (NoVaS) transformation with the possible inclusion of exogenous variables. From an applied point-of-view, extra knowledge such as…

计量经济学 · 经济学 2024-10-01 Kejin Wu , Sayar Karmakar , Rangan Gupta

Existing models for high-dimensional time series are overwhelmingly developed within the finite-order vector autoregressive (VAR) framework. However, the more flexible vector autoregressive moving averages (VARMA) have been much less…

统计方法学 · 统计学 2025-05-01 Feiqing Huang , Kexin Lu , Yao Zheng

We consider the estimation of the transition matrix in the high-dimensional time-varying vector autoregression (TV-VAR) models. Our model builds on a general class of locally stationary VAR processes that evolve smoothly in time. We propose…

统计理论 · 数学 2017-10-03 Xin Ding , Ziyi Qiu , Xiaohui Chen

For a general class of dynamic and stochastic structural models, we show that (i) non-linearity in economic dynamics is a necessary and sufficient condition for time-varying parameters (TVPs) in the reduced-form VARMA process followed by…

计量经济学 · 经济学 2025-12-24 Pooyan Amir-Ahmadi , Marko Mlikota , Dalibor Stevanović

Remote sensing change detection aims to localize and characterize scene changes between two time points and is central to applications such as environmental monitoring and disaster assessment. Meanwhile, visual autoregressive models (VARs)…

计算机视觉与模式识别 · 计算机科学 2026-01-21 Yilmaz Korkmaz , Vishal M. Patel

This paper introduces a Bayesian vector autoregression (BVAR) with stochastic volatility-in-mean and time-varying skewness. Unlike previous approaches, the proposed model allows both volatility and skewness to directly affect macroeconomic…

计量经济学 · 经济学 2025-10-10 Leonardo N. Ferreira , Haroon Mumtaz , Ana Skoblar

Logistic regression is commonly used for modeling dichotomous outcomes. In the classical setting, where the number of observations is much larger than the number of parameters, properties of the maximum likelihood estimator in logistic…

机器学习 · 统计学 2019-11-14 Fariborz Salehi , Ehsan Abbasi , Babak Hassibi

Visual autoregressive (VAR) models have recently emerged as a promising family of generative models, enabling a wide range of downstream vision tasks such as text-guided image editing. By shifting the editing paradigm from noise…

计算机视觉与模式识别 · 计算机科学 2026-03-31 Tao Xia , Jiawei Liu , Yukun Zhang , Ting Liu , Wei Wang , Lei Zhang

A structural vector autoregressive (SVAR) process is a linear causal model for variables that evolve over a discrete set of time points and between which there may be lagged and instantaneous effects. The qualitative causal structure of an…

统计理论 · 数学 2024-08-19 Nicolas-Domenic Reiter , Jonas Wahl , Andreas Gerhardus , Jakob Runge

Macroeconomists using large datasets often face the choice of working with either a large Vector Autoregression (VAR) or a factor model. In this paper, we develop methods for combining the two using a subspace shrinkage prior. Subspace…

计量经济学 · 经济学 2021-07-19 Florian Huber , Gary Koop

Visual Autoregressive Modeling (VAR) based on next-scale prediction achieves strong generation quality, but their explicit deep stacks fix the amount of computation per scale and inflate memory at high resolutions. We introduce Visual…

计算机视觉与模式识别 · 计算机科学 2026-05-05 Pengfei Jiang , Jixiang Luo , Luxi Lin , Zhaohong Huang , Xuelong Li

Many recent developments in the high-dimensional statistical time series literature have centered around time-dependent applications that can be adapted to regularized least squares. Of particular interest is the lasso, which both serves to…

统计方法学 · 统计学 2020-10-16 William B. Nicholson , Xiaohan Yan

Structural equation models (SEMs) and vector autoregressive models (VARMs) are two broad families of approaches that have been shown useful in effective brain connectivity studies. While VARMs postulate that a given region of interest in…

应用统计 · 统计学 2016-10-21 Yanning Shen , Brian Baingana , Georgios B. Giannakis

Recently, high dimensional vector auto-regressive models (VAR), have attracted a lot of interest, due to novel applications in the health, engineering and social sciences. The presence of temporal dependence poses additional challenges to…

统计理论 · 数学 2022-09-20 Sagnik Halder , George Michailidis