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Accurate forecasting of industrial time series requires balancing predictive accuracy with physical plausibility under non-stationary operating conditions. Existing data-driven models often achieve strong statistical performance but…

Machine Learning · Computer Science 2026-05-20 Yeran Zhang , Pengwei Yang , Guoqing Wang , Tianyu Li

Time-series forecasting models often encounter abrupt changes in a given period of time which generally occur due to unexpected or unknown events. Despite their scarce occurrences in the training set, abrupt changes incur loss that…

Machine Learning · Computer Science 2023-09-25 Junwoo Park , Jungsoo Lee , Youngin Cho , Woncheol Shin , Dongmin Kim , Jaegul Choo , Edward Choi

For discrete-valued time series, predictive inference cannot be implemented through the construction of prediction intervals to some predetermined coverage level, as this is the case for real-valued time series. To address this problem, we…

Methodology · Statistics 2025-07-23 Maxime Faymonville , Carsten Jentsch , Efstathios Paparoditis

Adaptive time series forecasting is essential for prediction under regime changes. Several classical methods assume linear Gaussian state space model (LGSSM) with variances constant in time. However, there are many real-world processes that…

Machine Learning · Statistics 2024-02-23 Baptiste Abélès , Joseph de Vilmarest , Olivier Wintemberger

Identifying the obstacle space is crucial for path planning. However, generating an accurate obstacle space remains a significant challenge due to various sources of uncertainty, including motion, behavior, and perception limitations. Even…

Robotics · Computer Science 2025-09-30 Jun Xiang , Jun Chen

The recent revolution in data-driven methods for weather forecasting has lead to a fragmented landscape of complex, bespoke architectures and training strategies, obscuring the fundamental drivers of forecast accuracy. Here, we demonstrate…

Estimating how uncertain an AI system is in its predictions is important to improve the safety of such systems. Uncertainty in predictive can result from uncertainty in model parameters, irreducible data uncertainty and uncertainty due to…

Machine Learning · Statistics 2018-12-03 Andrey Malinin , Mark Gales

The reconstruction of phase spaces is an essential step to analyze time series according to Dynamical System concepts. A regression performed on such spaces unveils the relationships among system states from which we can derive their…

Machine Learning · Computer Science 2020-06-23 Lucas Pagliosa , Alexandru Telea , Rodrigo Mello

Cyber-physical systems often consist of entities that interact with each other over time. Meanwhile, as part of the continued digitization of industrial processes, various sensor technologies are deployed that enable us to record…

Machine Learning · Computer Science 2018-09-03 Razvan-Gabriel Cirstea , Darius-Valer Micu , Gabriel-Marcel Muresan , Chenjuan Guo , Bin Yang

In this paper, we propose a novel scenario forecasts approach which can be applied to a broad range of power system operations (e.g., wind, solar, load) over various forecasts horizons and prediction intervals. This approach is model-free…

Optimization and Control · Mathematics 2018-03-21 Yize Chen , Xiyu Wang , Baosen Zhang

Effective quantification of uncertainty is an essential and still missing step towards a greater adoption of deep-learning approaches in different applications, including mission-critical ones. In particular, investigations on the…

Machine Learning · Computer Science 2023-04-14 Marco Forgione , Dario Piga

Deep learning-based sequence models are extensively employed in Time Series Anomaly Detection (TSAD) tasks due to their effective sequential modeling capabilities. However, the ability of TSAD is limited by two key challenges: (i) the…

Machine Learning · Computer Science 2024-08-21 Junqi Chen , Xu Tan , Sylwan Rahardja , Jiawei Yang , Susanto Rahardja

This paper presents a method for time series forecasting with deep learning and its assessment on two datasets. The method starts with data preparation, followed by model training and evaluation. The final step is a visual inspection.…

Machine Learning · Computer Science 2023-02-24 Gissel Velarde

Recently, time series foundation models have shown promising zero-shot forecasting performance on time series from a wide range of domains. However, it remains unclear whether their success stems from a true understanding of temporal…

Machine Learning · Computer Science 2024-11-12 Willa Potosnak , Cristian Challu , Mononito Goswami , Michał Wiliński , Nina Żukowska , Artur Dubrawski

In various applications, probabilistic forecasts are required to quantify the inherent uncertainty associated with the forecast. However, numerous modern forecasting methods are still designed to create deterministic forecasts. Transforming…

Machine Learning · Computer Science 2023-02-06 Kaleb Phipps , Benedikt Heidrich , Marian Turowski , Moritz Wittig , Ralf Mikut , Veit Hagenmeyer

This study aims to improve the spatial representation of uncertainties when regressing surface wind speeds from large-scale atmospheric predictors for sub-seasonal forecasting. Sub-seasonal forecasting often relies on large-scale…

Machine Learning · Computer Science 2025-10-21 Ganglin Tian , Anastase Alexandre Charantonis , Camille Le Coz , Alexis Tantet , Riwal Plougonven

Deep learning-based time series forecasting has dominated the short-term precipitation forecasting field with the help of its ability to estimate motion flow in high-resolution datasets. The growing interest in precipitation nowcasting…

Machine Learning · Computer Science 2024-06-17 Sojung An , Tae-Jin Oh , Eunha Sohn , Donghyun Kim

The energy market relies on forecasting capabilities of both demand and power generation that need to be kept in dynamic balance. Today, when it comes to renewable energy generation, such decisions are increasingly made in a liberalized…

Machine Learning · Computer Science 2022-03-15 Odin Foldvik Eikeland , Finn Dag Hovem , Tom Eirik Olsen , Matteo Chiesa , Filippo Maria Bianchi

Time-series is ubiquitous across applications, such as transportation, finance and healthcare. Time-series is often influenced by external factors, especially in the form of asynchronous events, making forecasting difficult. However,…

Machine Learning · Computer Science 2021-02-02 Longyuan Li , Jihai Zhang , Junchi Yan , Yaohui Jin , Yunhao Zhang , Yanjie Duan , Guangjian Tian

Probabilistic regression models the entire predictive distribution of a response variable, offering richer insights than classical point estimates and directly allowing for uncertainty quantification. While diffusion-based generative models…

Machine Learning · Computer Science 2025-10-07 Carlo Kneissl , Christopher Bülte , Philipp Scholl , Gitta Kutyniok