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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

Autoregressive models have demonstrated great performance in natural language processing (NLP) with impressive scalability, adaptability and generalizability. Inspired by their notable success in NLP field, autoregressive models have been…

Computer Vision and Pattern Recognition · Computer Science 2024-11-19 Kai Jiang , Jiaxing Huang

In this paper, we propose a probabilistic reduced-dimensional vector autoregressive (PredVAR) model with oblique projections. This model partitions the measurement space into a dynamic subspace and a static subspace that do not need to be…

Optimization and Control · Mathematics 2023-09-06 Yanfang Mo , Jiaxin Yu , S. Joe Qin

Several approaches to graphically representing context-specific relations among jointly distributed categorical variables have been proposed, along with structure learning algorithms. While existing optimization-based methods have limited…

Machine Learning · Statistics 2024-10-17 Felix Leopoldo Rios , Alex Markham , Liam Solus

The paper proposes a time-varying parameter global vector autoregressive (TVP-GVAR) framework for predicting and analysing developed region economic variables. We want to provide an easily accessible approach for the economy application…

Econometrics · Economics 2022-09-14 Yukang Jiang , Xueqin Wang , Zhixi Xiong , Haisheng Yang , Ting Tian

Transformers have revolutionized nucleotide sequence analysis, yet capturing long-range dependencies remains challenging. Recent studies show that autoregressive transformers often exhibit Markovian behavior by relying on fixed-length…

Genomics · Quantitative Biology 2025-11-05 Mohammadsaleh Refahi , Mahdi Abavisani , Bahrad A. Sokhansanj , James R. Brown , Gail Rosen

Autoregressive models have demonstrated remarkable success in sequential data generation, particularly in NLP, but their extension to continuous-domain image generation presents significant challenges. Recent work, the masked autoregressive…

Computer Vision and Pattern Recognition · Computer Science 2025-04-28 Tiankai Hang , Jianmin Bao , Fangyun Wei , Dong Chen

Video Large Language Models (VLLMs) excel in video understanding, but their excessive visual tokens pose a significant computational challenge for real-world applications. Current methods aim to enhance inference efficiency by visual token…

Computer Vision and Pattern Recognition · Computer Science 2025-08-29 Junpeng Ma , Qizhe Zhang , Ming Lu , Zhibin Wang , Qiang Zhou , Jun Song , Shanghang Zhang

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…

Machine Learning · Computer Science 2026-02-06 Jiecheng Lu , Shihao Yang

The recently proposed optimization algorithm for deep neural networks Sharpness Aware Minimization (SAM) suggests perturbing parameters before gradient calculation by a gradient ascent step to guide the optimization into parameter space…

Machine Learning · Computer Science 2025-10-03 Marlon Becker , Frederick Altrock , Benjamin Risse

We introduce Sparse Forcing, a training-and-inference paradigm for autoregressive video diffusion models that improves long-horizon generation quality while reducing decoding latency. Sparse Forcing is motivated by an empirical observation…

Computer Vision and Pattern Recognition · Computer Science 2026-04-24 Boxun Xu , Yuming Du , Zichang Liu , Siyu Yang , Ziyang Jiang , Siqi Yan , Rajasi Saha , Albert Pumarola , Wenchen Wang , Peng Li

Auto-Regressive (AR) models have achieved impressive results in 2D image generation by modeling joint distributions in the grid space. While this approach has been extended to the 3D domain for powerful shape generation, it still has two…

Computer Vision and Pattern Recognition · Computer Science 2023-03-28 Simian Luo , Xuelin Qian , Yanwei Fu , Yinda Zhang , Ying Tai , Zhenyu Zhang , Chengjie Wang , Xiangyang Xue

Large-scale autoregressive models have demonstrated remarkable capabilities in image generation. However, their sequential raster-scan decoding relies on strictly next-token prediction, making inference prohibitively expensive. Existing…

Computer Vision and Pattern Recognition · Computer Science 2026-05-13 Junkang Zhou , Yefei He , Feng Chen , Weijie Wang , Bohan Zhuang

Large multimodal models (LMMs) inherit the self-attention mechanism of pretrained language backbones, yet standard attention can exhibit suboptimal allocation, including cross-modal misallocation between textual and visual evidence and…

Computer Vision and Pattern Recognition · Computer Science 2026-05-27 Xi Leng , Xinhong Ma , Ziqiang Dong , Feng Zhang , Xiaoying Tang , Yang Yang , Guanjun Jiang

Vector autoregressive (VAR) models are popularly adopted for modelling high-dimensional time series, and their piecewise extensions allow for structural changes in the data. In VAR modelling, the number of parameters grow quadratically with…

Methodology · Statistics 2023-01-23 Haeran Cho , Hyeyoung Maeng , Idris A. Eckley , Paul Fearnhead

The goal of this paper is to analyze distributional Markov Decision Processes as a class of control problems in which the objective is to learn policies that steer the distribution of a cumulative reward toward a prescribed target law,…

Optimization and Control · Mathematics 2026-02-09 Nicole Bäuerle , Athanasios Vasileiadis

Next-Token Prediction (NTP) is a de facto approach for autoregressive (AR) video generation, but it suffers from suboptimal unidirectional dependencies and slow inference speed. In this work, we propose a semi-autoregressive (semi-AR)…

Computer Vision and Pattern Recognition · Computer Science 2025-02-13 Shuhuai Ren , Shuming Ma , Xu Sun , Furu Wei

This paper describes the results of formally evaluating the MCV (Markov concurrent vision) image labeling algorithm which is a (semi-) hierarchical algorithm commencing with a partition made up of single pixel regions and merging regions or…

Computer Vision and Pattern Recognition · Computer Science 2020-08-18 John Mashford , Brad Lane , Vic Ciesielski , Felix Lipkin

We show that the mixed causal-noncausal Vector Autoregressive (VAR) processes satisfy the Markov property in both calendar and reverse time. Based on that property, we introduce closed-form formulas of forward and backward predictive…

Econometrics · Economics 2025-07-18 Christian Gourieroux , Joann Jasiak

Long-context video modeling is essential for enabling generative models to function as world simulators, as they must maintain temporal coherence over extended time spans. However, most existing models are trained on short clips, limiting…

Computer Vision and Pattern Recognition · Computer Science 2025-05-20 Yuchao Gu , Weijia Mao , Mike Zheng Shou