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Accurate load forecasting is crucial for maintaining the power balance between generators and consumers,particularly with the increasing integration of renewable energy sources, which introduce significant intermittent volatility. With the…

Systems and Control · Electrical Eng. & Systems 2024-09-04 Mingyang Gao , Suyang Zhou , Wei Gu , Zhi Wu , Haiquan Liu , Aihua Zhou

Quantile regression is a powerful tool for detecting exposure-outcome associations given covariates across different parts of the outcome's distribution, but has two major limitations when the aim is to infer the effect of an exposure.…

Uncertainty analysis in the form of probabilistic forecasting can significantly improve decision making processes in the smart power grid when integrating renewable energy sources such as wind. Whereas point forecasting provides a single…

Signal Processing · Electrical Eng. & Systems 2019-09-27 Kostas Hatalis , Alberto J. Lamadrid , Katya Scheinberg , Shalinee Kishore

A set of probabilities along with corresponding quantiles are often used to define predictive distributions or probabilistic forecasts. These quantile predictions offer easily interpreted uncertainty of an event, and quantiles are generally…

Methodology · Statistics 2025-10-10 Spencer Wadsworth , Jarad Niemi

Reliable probabilistic production forecasts are required to better manage the uncertainty that the rapid build-out of wind power capacity adds to future energy systems. In this article, we consider sequential methods to correct errors in…

Power systems operate under uncertainty originating from multiple factors that are impossible to account for deterministically. Distributional forecasting is used to control and mitigate risks associated with this uncertainty. Recent…

Machine Learning · Computer Science 2024-10-07 Slawek Smyl , Boris N. Oreshkin , Paweł Pełka , Grzegorz Dudek

Probabilistic forecasting of electricity load curves is of fundamental importance for effective scheduling and decision making in the increasingly volatile and competitive energy markets. We propose a novel approach to construct…

Methodology · Statistics 2020-11-16 Xiuqin Xu , Ying Chen , Yannig Goude , Qiwei Yao

Quantile regression is useful for characterizing the conditional distribution of a response variable and understanding heterogeneity in the covariate effects at different quantiles. The rise of high-dimensional physiological data in…

Methodology · Statistics 2026-03-25 Yuanzhen Yue , Stella Self , Yichao Wu , Jiajia Zhang , Rahul Ghosal

Inclement weather conditions can significantly impact driver visibility and tire-road surface friction, requiring adjusted safe driving speeds to reduce crash risk. This study proposes a hybrid predictive framework that recommends real-time…

Machine Learning · Computer Science 2026-03-03 Wen Zhang , Adel W. Sadek , Chunming Qiao

Electricity price forecasts play a crucial role in making key business decisions within the electricity markets. A focal point in this domain are probabilistic predictions, which delineate future price values in a more comprehensive manner…

Machine Learning · Computer Science 2025-01-22 Grzegorz Zakrzewski , Kacper Skonieczka , Mikołaj Małkiński , Jacek Mańdziuk

While probabilistic forecast verification for categorical forecasts is well established, some of the existing concepts and methods have not found their equivalent for the case of continuous variables. New tools dedicated to the assessment…

Atmospheric and Oceanic Physics · Physics 2015-10-02 Zied Ben Bouallegue , Pierre Pinson , Petra Friederichs

Quantile estimation is a problem presented in fields such as quality control, hydrology, and economics. There are different techniques to estimate such quantiles. Nevertheless, these techniques use an overall fit of the sample when the…

Uncertainty analysis in the form of probabilistic forecasting can significantly improve decision making processes in the smart power grid for better integrating renewable energy sources such as wind. Whereas point forecasting provides a…

Machine Learning · Statistics 2017-10-05 Kostas Hatalis , Alberto J. Lamadrid , Katya Scheinberg , Shalinee Kishore

Weather forecasting plays a crucial role in supporting strategic decisions across various sectors, including agriculture, renewable energy production, and disaster management. However, the inherently dynamic and chaotic behavior of the…

Count data frequently arises in biomedical applications, such as the length of hospital stay. However, their discrete nature poses significant challenges for appropriately modeling conditional quantiles, which are crucial for understanding…

Methodology · Statistics 2025-07-28 Yuta Yamauchi , Genya Kobayashi , Shonosuke Sugasawa

Spread regression is an extension of linear regression that allows for the inclusion of a predictor that contains information about the variance. It can be used to take the information from a weather forecast ensemble and produce a…

Atmospheric and Oceanic Physics · Physics 2007-05-23 Stephen Jewson

This paper considers equity premium prediction, for which mean regression can be problematic due to heteroscedasticity and heavy-tails of the error. We show advantages of quantile predictions using a novel penalized quantile regression that…

Methodology · Statistics 2025-05-23 Shaobo Li , Ben Sherwood

Quantum Machine Learning (QML) presents as a revolutionary approach to weather forecasting by using quantum computing to improve predictive modeling capabilities. In this study, we apply QML models, including Quantum Gated Recurrent Units…

Quantum Physics · Physics 2025-09-15 Saiyam Sakhuja , Shivanshu Siyanwal , Abhishek Tiwari , Britant , Savita Kashyap

Flood prediction is a critical challenge in the context of climate change, with significant implications for ecosystem preservation, human safety, and infrastructure protection. In this study, we tackle this problem by applying the…

Quantum Physics · Physics 2024-07-12 Chu-Hsuan Abraham Lin , Chen-Yu Liu , Kuan-Cheng Chen

This paper presents a novel probabilistic forecasting method called ensemble conformalized quantile regression (EnCQR). EnCQR constructs distribution-free and approximately marginally valid prediction intervals (PIs), which are suitable for…

Machine Learning · Computer Science 2022-11-08 Vilde Jensen , Filippo Maria Bianchi , Stian Norman Anfinsen