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The vector autoregressive (VAR) model is a powerful tool in modeling complex time series and has been exploited in many fields. However, fitting high dimensional VAR model poses some unique challenges: On one hand, the dimensionality,…

Machine Learning · Statistics 2014-10-30 Fang Han , Huanran Lu , Han Liu

Visual Autoregressive (VAR) models adopt a next-scale prediction paradigm, offering high-quality content generation with substantially fewer decoding steps. However, existing VAR models suffer from significant attention complexity and…

Computer Vision and Pattern Recognition · Computer Science 2025-12-09 Ziran Qin , Youru Lv , Mingbao Lin , Hang Guo , Zeren Zhang , Danping Zou , Weiyao Lin

Autoregressive (AR) transformers have emerged as a powerful paradigm for visual generation, largely due to their scalability, computational efficiency and unified architecture with language and vision. Among them, next scale prediction…

Computer Vision and Pattern Recognition · Computer Science 2025-09-29 Amandeep Kumar , Nithin Gopalakrishnan Nair , Vishal M. Patel

Visual Auto-Regressive modeling (VAR) has shown promise in bridging the speed and quality gap between autoregressive image models and diffusion models. VAR reformulates autoregressive modeling by decomposing an image into successive…

Computer Vision and Pattern Recognition · Computer Science 2025-06-06 Hermann Kumbong , Xian Liu , Tsung-Yi Lin , Ming-Yu Liu , Xihui Liu , Ziwei Liu , Daniel Y. Fu , Christopher Ré , David W. Romero

Visual autoregressive (VAR) models have recently emerged as a promising alternative for image generation, offering stable training, non-iterative inference, and high-fidelity synthesis through next-scale prediction. This encourages the…

Computer Vision and Pattern Recognition · Computer Science 2026-03-06 Cencen Liu , Dongyang Zhang , Wen Yin , Jielei Wang , Tianyu Li , Ji Guo , Wenbo Jiang , Guoqing Wang , Guoming Lu

Visual Auto-Regressive (VAR) models significantly reduce inference steps through the "next-scale" prediction paradigm. However, progressive multi-scale generation incurs substantial memory overhead due to cumulative KV caching, limiting…

Computer Vision and Pattern Recognition · Computer Science 2025-11-21 Xiaoyue Chen , Yuling Shi , Kaiyuan Li , Huandong Wang , Yong Li , Xiaodong Gu , Xinlei Chen , Mingbao Lin

High-dimensional vector autoregressive (VAR) models are important tools for the analysis of multivariate time series. This paper focuses on high-dimensional time series and on the different regularized estimation procedures proposed for…

Machine Learning · Statistics 2020-06-11 Jonas Krampe , Efstathios Paparoditis

Visual Autoregressive (VAR) has emerged as a promising approach in image generation, offering competitive potential and performance comparable to diffusion-based models. However, current AR-based visual generation models require substantial…

Computer Vision and Pattern Recognition · Computer Science 2024-11-27 Rui Xie , Tianchen Zhao , Zhihang Yuan , Rui Wan , Wenxi Gao , Zhenhua Zhu , Xuefei Ning , Yu Wang

The standard vector autoregressive (VAR) models suffer from overparameterization which is a serious issue for high-dimensional time series data as it restricts the number of variables and lags that can be incorporated into the model.…

Methodology · Statistics 2023-09-25 S. Yaser Samadi , Wiranthe B. Herath

Essential to visual generation is efficient modeling of visual data priors. Conventional next-token prediction methods define the process as learning the conditional probability distribution of successive tokens. Recently, next-scale…

Computer Vision and Pattern Recognition · Computer Science 2026-02-03 Jinhua Zhang , Wei Long , Minghao Han , Weiyi You , Shuhang Gu

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…

Computer Vision and Pattern Recognition · Computer Science 2026-05-05 Pengfei Jiang , Jixiang Luo , Luxi Lin , Zhaohong Huang , Xuelong Li

Visual autoregressive modeling (VAR) via next-scale prediction has emerged as a scalable image generation paradigm. While Key and Value (KV) caching in large language models (LLMs) has been extensively studied, next-scale prediction…

Computer Vision and Pattern Recognition · Computer Science 2025-11-21 Boxun Xu , Yu Wang , Zihu Wang , Peng Li

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 use of latent diffusion models (LDMs) such as Stable Diffusion has significantly improved the perceptual quality of All-in-One image Restoration (AiOR) methods, while also enhancing their generalization capabilities. However, these…

Computer Vision and Pattern Recognition · Computer Science 2026-03-26 Sudarshan Rajagopalan , Kartik Narayan , Vishal M. Patel

The objective of transfer learning is to enhance estimation and inference in a target data by leveraging knowledge gained from additional sources. Recent studies have explored transfer learning for independent observations in complex,…

Machine Learning · Statistics 2025-04-23 Mingliang Ma Abolfazl Safikhani

Learning compact and meaningful latent space representations has been shown to be very useful in generative modeling tasks for visual data. One particular example is applying Vector Quantization (VQ) in variational autoencoders (VQ-VAEs,…

Machine Learning · Computer Science 2024-09-18 Xin Li , Anand Sarwate

Analyzing unsteady fluid flows often requires access to the full distribution of possible temporal states, yet conventional PDE solvers are computationally prohibitive and learned time-stepping surrogates quickly accumulate error over long…

Computational Engineering, Finance, and Science · Computer Science 2026-04-14 Mario Lino , Nils Thuerey

High-dimensional vector autoregressive (VAR) models have numerous applications in fields such as econometrics, biology, climatology, among others. While prior research has mainly focused on linear VAR models, these approaches can be…

Statistics Theory · Mathematics 2025-11-25 Yuefeng Han , Likai Chen , Wei Biao Wu

Diffusion models deliver high-fidelity synthesis but remain slow due to iterative sampling. We empirically observe there exists feature invariance in deterministic sampling, and present InvarDiff, a training-free acceleration method that…

Computer Vision and Pattern Recognition · Computer Science 2025-12-08 Zihao Wu

In the rapidly advancing field of image generation, Visual Auto-Regressive (VAR) modeling has garnered considerable attention for its innovative next-scale prediction approach. This paradigm offers substantial improvements in efficiency,…

Computer Vision and Pattern Recognition · Computer Science 2024-11-28 Zigeng Chen , Xinyin Ma , Gongfan Fang , Xinchao Wang