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Time Series Foundation Models (TSFMs) advance generalization and data efficiency in time series forecasting by unified large-scale pretraining. But TSFMs remain lacking when adapting to specific downstream forecasting tasks for two reasons.…

Signal Processing · Electrical Eng. & Systems 2026-05-04 Siyang Li , Yize Chen , Zijie Zhu , Yuxin Pan , Yan Guo , Ming Huang , Hui Xiong

Forecasting models that are trained across sets of many time series, known as Global Forecasting Models (GFM), have shown recently promising results in forecasting competitions and real-world applications, outperforming many…

Machine Learning · Computer Science 2020-08-07 Kasun Bandara , Hansika Hewamalage , Yuan-Hao Liu , Yanfei Kang , Christoph Bergmeir

Anomalous diffusion is present at all scales, from atomic to large scales. Some exemplary systems are; ultra-cold atoms, telomeres in the nucleus of cells, moisture transport in cement-based materials, the free movement of arthropods, and…

Image and Video Processing · Electrical Eng. & Systems 2023-10-04 Òscar Garibo-i-Orts , Nicolás Firbas , Laura Sebastiá , J. Alberto Conejero

Multi-task and few-shot time series forecasting tasks are commonly encountered in scenarios such as the launch of new products in different cities. However, traditional time series forecasting methods suffer from insufficient historical…

Machine Learning · Computer Science 2025-06-25 Pengpeng Ouyang , Dong Chen , Tong Yang , Shuo Feng , Zhao Jin , Mingliang Xu

Diffusion models have seen widespread adoption for text-driven human motion generation and related tasks due to their impressive generative capabilities and flexibility. However, current motion diffusion models face two major limitations: a…

Computer Vision and Pattern Recognition · Computer Science 2026-01-22 Yifei Liu , Changxing Ding , Ling Guo , Huaiguang Jiang , Qiong Cao

This paper presents Diffusion via Autoregressive models (D-AR), a new paradigm recasting the image diffusion process as a vanilla autoregressive procedure in the standard next-token-prediction fashion. We start by designing the tokenizer…

Computer Vision and Pattern Recognition · Computer Science 2025-05-30 Ziteng Gao , Mike Zheng Shou

In arbitrary-order language models, it is an open question how to sample tokens in parallel from the correct joint distribution. With discrete diffusion models, the more tokens they generate in parallel, the less their predicted…

Machine Learning · Computer Science 2025-04-30 Gabe Guo , Stefano Ermon

Diffusion models have become a central tool in deep generative modeling, but standard formulations rely on a single network and a single diffusion schedule to transform a simple prior, typically a standard normal distribution, into the…

Machine Learning · Statistics 2025-12-29 Takuro Kutsuna

Understanding the time-varying structure of complex temporal systems is one of the main challenges of modern time series analysis. In this paper, we show that every uniformly-positive-definite-in-covariance and sufficiently short-range…

Statistics Theory · Mathematics 2023-04-25 Xiucai Ding , Zhou Zhou

Time series generation (TSG) is widely used across domains, yet most existing methods assume regular sampling and fixed output resolutions. These assumptions are often violated in practice, where observations are irregular and sparse, while…

Machine Learning · Computer Science 2026-02-02 Xu Zhang , Junwei Deng , Chang Xu , Hao Li , Jiang Bian

Time series foundational models (TSFM) have gained prominence in time series forecasting, promising state-of-the-art performance across various applications. However, their application in anomaly detection and prediction remains…

Machine Learning · Computer Science 2024-12-30 Chathurangi Shyalika , Harleen Kaur Bagga , Ahan Bhatt , Renjith Prasad , Alaa Al Ghazo , Amit Sheth

We address the problem of defining early warning indicators of critical transition. To this purpose, we fit the relevant time series through a class of linear models, known as Auto-Regressive Moving-Average (ARMA(p,q)) models. We define two…

Data Analysis, Statistics and Probability · Physics 2015-06-18 Davide Faranda , Flavio Maria Emanuele Pons , Bérengère Dubrulle

Trajectory prediction and generation are crucial for autonomous robots in dynamic environments. While prior research has typically focused on either prediction or generation, our approach unifies these tasks to provide a versatile framework…

Robotics · Computer Science 2024-11-08 Sean Ye , Matthew Gombolay

Diffusion-based graph generative models have recently obtained promising results for graph generation. However, existing diffusion-based graph generative models are mostly one-shot generative models that apply Gaussian diffusion in the…

Artificial Intelligence · Computer Science 2023-07-19 Lingkai Kong , Jiaming Cui , Haotian Sun , Yuchen Zhuang , B. Aditya Prakash , Chao Zhang

The probability prediction of multivariate time series is a notoriously challenging but practical task. On the one hand, the challenge is how to effectively capture the cross-series correlations between interacting time series, to achieve…

Machine Learning · Computer Science 2023-07-24 Shibo Feng , Chunyan Miao , Ke Xu , Jiaxiang Wu , Pengcheng Wu , Yang Zhang , Peilin Zhao

We consider the problem of using diffusion models to generate fast, smooth, and temporally consistent robot motions. Although diffusion models have demonstrated superior performance in robot learning due to their task scalability and…

Robotics · Computer Science 2025-03-05 Xirui Shi , Jun Jin

Probabilistic Time Series Forecasting (PTSF) plays a critical role in domains requiring accurate and uncertainty-aware predictions for decision-making. However, existing methods offer suboptimal distribution modeling and suffer from a…

Machine Learning · Computer Science 2025-09-03 Chih-Yu Lai , Yu-Chien Ning , Duane S. Boning

As multimodal data proliferates across diverse real-world applications, leveraging heterogeneous information such as texts and timestamps for accurate time series forecasting (TSF) has become a critical challenge. While diffusion models…

Machine Learning · Computer Science 2025-12-09 Da Zhang , Bingyu Li , Zhuyuan Zhao , Junyu Gao , Feiping Nie , Xuelong Li

Text-to-motion generation has attracted increasing attention in the research community recently, with potential applications in animation, virtual reality, robotics, and human-computer interaction. Diffusion and autoregressive models are…

Computer Vision and Pattern Recognition · Computer Science 2026-04-10 Kang Ding , Hongsong Wang , Jie Gui , Liang Wang

Diffusion models generate high-quality synthetic data. They operate by defining a continuous-time forward process which gradually adds Gaussian noise to data until fully corrupted. The corresponding reverse process progressively "denoises"…