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We consider the problem of uncertainty quantification for prediction in a time series: if we use past data to forecast the next time point, can we provide valid prediction intervals around our forecasts? To avoid placing distributional…

Machine Learning · Statistics 2026-01-13 Rina Foygel Barber , Ashwin Pananjady

Time evolving surfaces can be modeled as two-dimensional Functional time series, exploiting the tools of Functional data analysis. Leveraging this approach, a forecasting framework for such complex data is developed. The main focus revolves…

Methodology · Statistics 2023-07-19 Niccolò Ajroldi , Jacopo Diquigiovanni , Matteo Fontana , Simone Vantini

Subseasonal-to-seasonal (S2S) temperature forecasts, spanning several weeks to a few months, are critically needed in agriculture practice, energy planning, and extreme-weather induced risk management, yet their reliability varies…

Machine Learning · Computer Science 2026-05-11 Elnaz Bashir , Jiali Wang , Lin Yan

In this paper, prediction for linear systems with missing information is investigated. New methods are introduced to improve the Mean Squared Error (MSE) on the test set in comparison to state-of-the-art methods, through appropriate tuning…

Machine Learning · Statistics 2017-01-04 Mohammad Amin Fakharian , Ashkan Esmaeili , Farokh Marvasti

Time series (TS) modeling has come a long way from early statistical, mainly linear, approaches to the current trend in TS foundation models. With a lot of hype and industrial demand in this field, it is not always clear how much progress…

Machine Learning · Computer Science 2026-02-20 Daniel Durstewitz , Christoph Jürgen Hemmer , Florian Hess , Charlotte Ricarda Doll , Lukas Eisenmann

Forecasting complex time series is an important yet challenging problem that involves various industrial applications. Recently, masked time-series modeling has been proposed to effectively model temporal dependencies for forecasting by…

Machine Learning · Computer Science 2025-07-02 Hyunwoo Seo , Chiehyeon Lim

We propose a novel and unified framework for change-point estimation in multivariate time series. The proposed method is fully nonparametric, enjoys effortless tuning and is robust to temporal dependence. One salient and distinct feature of…

Methodology · Statistics 2022-09-12 Zifeng Zhao , Feiyu Jiang , Xiaofeng Shao

In the realm of large-scale spatiotemporal data, abrupt changes are commonly occurring across both spatial and temporal domains. This study aims to address the concurrent challenges of detecting change points and identifying spatial…

Methodology · Statistics 2025-05-05 Zerui Zhang , Xin Wang , Xin Zhang , Jing Zhang

Recently, significant advancements have been made in time-series forecasting research, with an increasing focus on analyzing the nature of time-series data, e.g, channel-independence (CI) and channel-dependence (CD), rather than solely…

Machine Learning · Computer Science 2023-08-04 Wei Li , Xiangxu Meng , Chuhao Chen , Jianing Chen

Many real-life applications involve simultaneously forecasting multiple time series that are hierarchically related via aggregation or disaggregation operations. For instance, commercial organizations often want to forecast inventories…

Machine Learning · Computer Science 2021-02-26 Xing Han , Sambarta Dasgupta , Joydeep Ghosh

Spatio-temporal problems exist in many areas of knowledge and disciplines ranging from biology to engineering and physics. However, solution strategies based on classical statistical techniques often fall short due to the large number of…

Applications · Statistics 2017-06-15 Emil B. Iversen , Rune Juhl , Jan K. Møller , Jan Kleissl , Henrik Madsen , Juan M. Morales

Existing methods for structure discovery in time series data construct interpretable, compositional kernels for Gaussian process regression models. While the learned Gaussian process model provides posterior mean and variance estimates,…

Machine Learning · Statistics 2016-11-22 David Janz , Brooks Paige , Tom Rainforth , Jan-Willem van de Meent , Frank Wood

Modeling time series is a research focus in cryospheric sciences because of the complexity and multiscale nature of events of interest. Highly non-uniform sampling of measurements from different sensors with different levels of accuracy, as…

Applications · Statistics 2020-07-13 Prashant Shekhar , Beata Csatho , Tony Schenk , Carolyn Roberts , Abani Patra

We propose a novel spatially-correlative loss that is simple, efficient and yet effective for preserving scene structure consistency while supporting large appearance changes during unpaired image-to-image (I2I) translation. Previous…

Computer Vision and Pattern Recognition · Computer Science 2021-04-05 Chuanxia Zheng , Tat-Jen Cham , Jianfei Cai

Long-term time series forecasting (LTSF) is a critical task across diverse domains. Despite significant advancements in LTSF research, we identify a performance bottleneck in existing LTSF methods caused by the inadequate modeling of…

Machine Learning · Computer Science 2025-09-22 Qi Xiong , Kai Tang , Minbo Ma , Ji Zhang , Jie Xu , Tianrui Li

Time series forecasting serves as an essential tool for many real-world applications, supporting tasks such as resource optimization and decision-making. Despite significant architectural advancements, most modern models still treat…

Machine Learning · Computer Science 2026-05-12 Sheng Pan , Ming Jin , Bo Du , Shirui Pan

Can meta-learning discover generic ways of processing time series (TS) from a diverse dataset so as to greatly improve generalization on new TS coming from different datasets? This work provides positive evidence to this using a broad…

Machine Learning · Computer Science 2020-12-16 Boris N. Oreshkin , Dmitri Carpov , Nicolas Chapados , Yoshua Bengio

Real-world time series typically exhibit complex temporal variations, making the time series classification task notably challenging. Recent advancements have demonstrated the potential of multi-scale analysis approaches, which provide an…

Artificial Intelligence · Computer Science 2025-07-25 Zhipeng Liu , Peibo Duan , Binwu Wang , Xuan Tang , Qi Chu , Changsheng Zhang , Yongsheng Huang , Bin Zhang

Generating forecasts for time series with multiple seasonal cycles is an important use-case for many industries nowadays. Accounting for the multi-seasonal patterns becomes necessary to generate more accurate and meaningful forecasts in…

Applications · Statistics 2020-04-28 Kasun Bandara , Christoph Bergmeir , Hansika Hewamalage