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Time series forecasting in real-world applications requires both high predictive accuracy and interpretable uncertainty quantification. Traditional point prediction methods often fail to capture the inherent uncertainty in time series data,…

Machine Learning · Computer Science 2026-02-05 Zhen Zhou , Zhirui Wang , Qi Hong , Yunyang Shi , Ziyuan Gu , Zhiyuan Liu

Time series forecasting is ubiquitous in the modern world. Applications range from health care to astronomy, and include climate modelling, financial trading and monitoring of critical engineering equipment. To offer value over this range…

Machine Learning · Statistics 2018-10-26 Bernardo Pérez Orozco , Gabriele Abbati , Stephen Roberts

Numerous industrial sectors necessitate models capable of providing robust forecasts across various horizons. Despite the recent strides in crafting specific architectures for time-series forecasting and developing pre-trained universal…

Machine Learning · Computer Science 2024-11-05 Jiawen Zhang , Shun Zheng , Xumeng Wen , Xiaofang Zhou , Jiang Bian , Jia Li

Many businesses and industries nowadays rely on large quantities of time series data making time series forecasting an important research area. Global forecasting models that are trained across sets of time series have shown a huge…

Machine Learning · Computer Science 2021-10-25 Rakshitha Godahewa , Christoph Bergmeir , Geoffrey I. Webb , Rob J. Hyndman , Pablo Montero-Manso

As the world increasingly relies on mathematical models for forecasts in different areas, effective communication of uncertainty in time series predictions is important for informed decision making. This study explores how users estimate…

Human-Computer Interaction · Computer Science 2024-08-23 Apoorva Karagappa , Pawandeep Kaur Betz , Jonas Gilg , Moritz Zeumer , Andreas Gerndt , Bernhard Preim

Multistage stochastic programming provides a modeling framework for sequential decision-making problems that involve uncertainty. One typically overlooked aspect of this methodology is how uncertainty is incorporated into modeling.…

Optimization and Control · Mathematics 2021-09-24 Juyoung Wang , Mucahit Cevik , Merve Bodur

Diffusion models, a family of generative models based on deep learning, have become increasingly prominent in cutting-edge machine learning research. With a distinguished performance in generating samples that resemble the observed data,…

Machine Learning · Computer Science 2023-05-02 Lequan Lin , Zhengkun Li , Ruikun Li , Xuliang Li , Junbin Gao

This expository paper discusses Bayesian decision analysis perspectives on problems of constrained forecasting. Foundational and pedagogic discussion contrasts decision analytic approaches with the traditional, but typically inappropriate,…

Methodology · Statistics 2021-12-01 Mike West

Time series forecasting is a crucial task in machine learning, as it has a wide range of applications including but not limited to forecasting electricity consumption, traffic, and air quality. Traditional forecasting models rely on rolling…

Machine Learning · Computer Science 2021-10-22 Shereen Elsayed , Daniela Thyssens , Ahmed Rashed , Hadi Samer Jomaa , Lars Schmidt-Thieme

Financial time series (FinTS) record the behavior of human-brain-augmented decision-making, capturing valuable historical information that can be leveraged for profitable investment strategies. Not surprisingly, this area has attracted…

Computational Engineering, Finance, and Science · Computer Science 2026-05-12 Yifan Hu , Yuante Li , Peiyuan Liu , Yuxia Zhu , Naiqi Li , Tao Dai , Shu-tao Xia , Dawei Cheng , Changjun Jiang

Time series forecasting aims to model temporal dependencies among variables for future state inference, holding significant importance and widespread applications in real-world scenarios. Although deep learning-based methods have achieved…

Machine Learning · Computer Science 2026-05-21 Zesen Wang , Lijuan Lan , Yonggang Li

Time series modeling for predictive purpose has been an active research area of machine learning for many years. However, no sufficiently comprehensive and meanwhile substantive survey was offered so far. This survey strives to meet this…

Machine Learning · Computer Science 2021-09-28 Fatoumata Dama , Christine Sinoquet

Probabilistic forecasting is crucial for real-world spatiotemporal systems, such as climate, energy, and urban environments, where quantifying uncertainty is essential for informed, risk-aware decision-making. While diffusion models have…

Machine Learning · Computer Science 2025-09-30 Zhi Sheng , Yuan Yuan , Yudi Zhang , Jingtao Ding , Yong Li

Accurate forecasting of spatiotemporal data remains challenging due to complex spatial dependencies and temporal dynamics. The inherent uncertainty and variability in such data often render deterministic models insufficient, prompting a…

Machine Learning · Computer Science 2024-11-05 Mingze Gong , Lei Chen , Jia Li

Accurate energy time-series forecasting is crucial for ensuring grid stability and promoting the integration of renewable energy, yet it faces significant challenges from complex temporal dependencies and the heterogeneity of multi-source…

Machine Learning · Computer Science 2026-01-13 Mingnan Zhu , Qixuan Zhang , Yixuan Cheng , Fangzhou Gu , Shiming Lin

The study of complex systems has attracted widespread attention from researchers in the fields of natural sciences, social sciences, and engineering. Prediction is one of the central issues in this field. Although most related studies have…

Physics and Society · Physics 2025-10-21 En Xu , Yilin Bi , Hongwei Hu , Xin Chen , Zhiwen Yu , Yong Li , Yanqing Hu , Tao Zhou

Modern Internet of Things (IoT) environments are monitored via a large number of IoT enabled sensing devices, with the data acquisition and processing infrastructure setting restrictions in terms of computational power and energy resources.…

Most research designing novel predictive models, or employing existing ones, assumes that training and testing data are independent and identically distributed. In practice, the data encountered at serving time often deviate from the…

Machine Learning · Computer Science 2026-03-30 Hanyu Duan , Yi Yang , Ahmed Abbasi , Kar Yan Tam

We study the spatio-temporal prediction problem, which has attracted the attention of many researchers due to its critical real-life applications. In particular, we introduce a novel approach to this problem. Our approach is based on the…

Machine Learning · Statistics 2020-07-07 Oguzhan Karaahmetoglu , Suleyman Serdar Kozat

Accurate forecasts are vital for supporting the decisions of modern companies. Forecasters typically select the most appropriate statistical model for each time series. However, statistical models usually presume some data generation…