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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

Visual AutoRegressive modeling (VAR) based on next-scale prediction has revitalized autoregressive visual generation. Although its full-context dependency, i.e., modeling all previous scales for next-scale prediction, facilitates more…

Computer Vision and Pattern Recognition · Computer Science 2026-03-04 Yu Zhang , Jingyi Liu , Yiwei Shi , Qi Zhang , Duoqian Miao , Changwei Wang , Longbing Cao

While the Vector Autoregression (VAR) model has received extensive attention for modelling complex time series, quantile VAR analysis remains relatively underexplored for high-dimensional time series data. To address this disparity, we…

Methodology · Statistics 2024-04-30 Wenyang Liu , Ganggang Xu , Jianqing Fan , Xuening Zhu

The non-linear autoregressive (NLAR) model plays an important role in modeling and predicting time series. One-step ahead prediction is straightforward using the NLAR model, but the multi-step ahead prediction is cumbersome. For instance,…

Methodology · Statistics 2023-06-08 Kejin Wu , Dimitris N. Politis

In this paper, a new way to integrate volatility information for estimating value at risk (VaR) and conditional value at risk (CVaR) of a portfolio is suggested. The new method is developed from the perspective of Bayesian statistics and it…

Risk Management · Quantitative Finance 2022-05-04 Taras Bodnar , Vilhelm Niklasson , Erik Thorsén

While considerable advances have been made in estimating high-dimensional structured models from independent data using Lasso-type models, limited progress has been made for settings when the samples are dependent. We consider estimating…

Statistics Theory · Mathematics 2016-03-01 Igor Melnyk , Arindam Banerjee

Dependence between nodes in a network is an important concept that pervades many areas including finance, politics, sociology, genomics and the brain sciences. One way to characterize dependence between components of a multivariate time…

Machine Learning · Statistics 2024-08-08 Malik Shahid Sultan , Samuel Horvath , Hernando Ombao

Particle accelerators are time-varying systems whose components are perturbed by external disturbances. Tuning accelerators can be a time-consuming process involving manual adjustment of multiple components, such as RF cavities, to minimize…

Accelerator Physics · Physics 2024-08-09 Mahindra Rautela , Alan Williams , Alexander Scheinker

Modeling responses on the nodes of a large-scale network is an important task that arises commonly in practice. This paper proposes a community network vector autoregressive (CNAR) model, which utilizes the network structure to characterize…

Methodology · Statistics 2020-07-13 Elynn Y. Chen , Jianqing Fan , Xuening Zhu

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…

Methodology · Statistics 2023-06-16 Di Wang , Xiaoyu Zhang , Guodong Li , Ruey Tsay

Accurate accident anticipation is essential for enhancing the safety of autonomous vehicles (AVs). However, existing methods often assume ideal conditions, overlooking challenges such as sensor failures, environmental disturbances, and data…

Artificial Intelligence · Computer Science 2025-11-11 Xingcheng Liu , Yanchen Guan , Haicheng Liao , Zhengbing He , Zhenning Li

Autoregressive (AR) modeling has achieved remarkable success in natural language processing by enabling models to generate text with coherence and contextual understanding through next token prediction. Recently, in image generation, VAR…

Computer Vision and Pattern Recognition · Computer Science 2024-12-20 Sucheng Ren , Qihang Yu , Ju He , Xiaohui Shen , Alan Yuille , Liang-Chieh Chen

Inspired by the remarkable success of autoregressive models in language modeling, this paradigm has been widely adopted in visual generation. However, the sequential token-by-token decoding mechanism inherent in traditional autoregressive…

Computer Vision and Pattern Recognition · Computer Science 2026-01-01 Siyang Wang , Hanting Li , Wei Li , Jie Hu , Xinghao Chen , Feng Zhao

Accurate trajectory prediction has long been a major challenge for autonomous driving (AD). Traditional data-driven models predominantly rely on statistical correlations, often overlooking the causal relationships that govern traffic…

Artificial Intelligence · Computer Science 2025-05-13 Bonan Wang , Haicheng Liao , Chengyue Wang , Bin Rao , Yanchen Guan , Guyang Yu , Jiaxun Zhang , Songning Lai , Chengzhong Xu , Zhenning Li

Modern reinforcement learning (RL) struggles to capture real-world cause-and-effect dynamics, leading to inefficient exploration due to extensive trial-and-error actions. While recent efforts to improve agent exploration have leveraged…

Machine Learning · Computer Science 2024-07-18 Minh Hoang Nguyen , Hung Le , Svetha Venkatesh

Visual Autoregressive (VAR) modeling inefficiently applies a fixed computational depth to each position when generating high-resolution images. While existing methods accelerate inference by pruning tokens using frequency maps, their binary…

Computer Vision and Pattern Recognition · Computer Science 2026-04-21 Chunliang Li , Tianze Cao , Sanyuan Zhao

In this paper we test for Granger causality in high-dimensional vector autoregressive models (VARs) to disentangle and interpret the complex causal chains linking radiative forcings and global temperatures. By allowing for high…

Econometrics · Economics 2024-06-04 Marina Friedrich , Luca Margaritella , Stephan Smeekes

Many economic environments involve units linked by a network. I develop an econometric framework that derives the dynamics of cross-sectional variables from the lagged innovation transmission along bilateral links and that can accommodate…

Econometrics · Economics 2026-01-23 Marko Mlikota

Missing data is a ubiquitous challenge in data analysis, often leading to biased and inaccurate results. Traditional imputation methods usually assume that the missingness mechanism is missing-at-random (MAR), where the missingness is…

Methodology · Statistics 2026-03-30 Huiming Xie , Fei Xue , Xiao Wang

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
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