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The problem of combining individual forecasters to produce a forecaster with improved performance is considered. The connections between probability elicitation and classification are used to pose the combining forecaster problem as that of…

Methodology · Statistics 2017-07-11 Hamed Masnadi-Shirazi

Forecast combinations have flourished remarkably in the forecasting community and, in recent years, have become part of the mainstream of forecasting research and activities. Combining multiple forecasts produced from single (target) series…

Methodology · Statistics 2022-09-26 Xiaoqian Wang , Rob J Hyndman , Feng Li , Yanfei Kang

Improvement of time series forecasting accuracy through combining multiple models is an important as well as a dynamic area of research. As a result, various forecasts combination methods have been developed in literature. However, most of…

Artificial Intelligence · Computer Science 2013-02-28 Ratnadip Adhikari , R. K. Agrawal

It is often reported in forecast combination literature that a simple average of candidate forecasts is more robust than sophisticated combining methods. This phenomenon is usually referred to as the "forecast combination puzzle". Motivated…

Methodology · Statistics 2015-05-05 Wei Qian , Craig A. Rolling , Gang Cheng , Yuhong Yang

The importance of accurately quantifying forecast uncertainty has motivated much recent research on probabilistic forecasting. In particular, a variety of deep learning approaches has been proposed, with forecast distributions obtained as…

Machine Learning · Statistics 2024-11-11 Benedikt Schulz , Lutz Köhler , Sebastian Lerch

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

Forecast combination and model averaging have become popular tools in forecasting and prediction, both of which combine a set of candidate estimates with certain weights and are often shown to outperform single estimates. A data-driven…

Statistics Theory · Mathematics 2025-10-31 Jiahui Zou , Andrey Vasnev , Wendun Wang , Xinyu Zhang

We provide a comprehensive examination of the predictive performance of panel forecasting methods based on individual, pooling, fixed effects, and empirical Bayes estimation, and propose optimal weights for forecast combination schemes. We…

Econometrics · Economics 2026-01-30 M. Hashem Pesaran , Andreas Pick , Allan Timmermann

Combination and aggregation techniques can significantly improve forecast accuracy. This also holds for probabilistic forecasting methods where predictive distributions are combined. There are several time-varying and adaptive weighting…

Machine Learning · Statistics 2022-03-08 Jonathan Berrisch , Florian Ziel

Uncertainty analysis in the form of probabilistic forecasting can provide significant improvements in decision-making processes in the smart power grid for better integrating renewable energies such as wind. Whereas point forecasting…

Machine Learning · Statistics 2018-03-30 Kostas Hatalis , Shalinee Kishore , Katya Scheinberg , Alberto Lamadrid

This papers proposes a generic, high-level methodology for generating forecast combinations that would deliver the optimal linearly combined forecast in terms of the mean-squared forecast error if one had access to two population…

Methodology · Statistics 2023-09-01 Elliot Beck , Damian Kozbur , Michael Wolf

We demonstrate that the forecasting combination puzzle is a consequence of the methodology commonly used to produce forecast combinations. By the combination puzzle, we refer to the empirical finding that predictions formed by combining…

Econometrics · Economics 2023-08-11 David T. Frazier , Ryan Covey , Gael M. Martin , Donald Poskitt

Combining forecasts from multiple experts often yields more accurate results than relying on a single expert. In this paper, we introduce a novel regularized ensemble method that extends the traditional linear opinion pool by leveraging…

Applications · Statistics 2026-02-13 Han Su , Xiaojia Guo , Xiaoke Zhang

The paper presents numerical experiments and some theoretical developments in prediction with expert advice (PEA). One experiment deals with predicting electricity consumption depending on temperature and uses real data. As the pattern of…

Artificial Intelligence · Computer Science 2021-09-30 Vladimir V'yugin , Vladimir Trunov

Forecast combinations have been widely applied in the last few decades to improve forecasting. Estimating optimal weights that can outperform simple averages is not always an easy task. In recent years, the idea of using time series…

Methodology · Statistics 2021-10-22 Yanfei Kang , Wei Cao , Fotios Petropoulos , Feng Li

Ensemble methods combine the predictions of multiple models to improve performance, but they require significantly higher computation costs at inference time. To avoid these costs, multiple neural networks can be combined into one by…

Machine Learning · Computer Science 2024-05-07 Alexia Jolicoeur-Martineau , Emy Gervais , Kilian Fatras , Yan Zhang , Simon Lacoste-Julien

This paper presents a novel hybrid approach for constricting probabilistic forecasts that combines both the Quantile Regression Averaging (QRA) method and the factor-based averaging scheme. The performance of the approach is evaluated on…

Applications · Statistics 2024-11-20 Katarzyna Maciejowska , Tomasz Serafin , Bartosz Uniejewski

Forecasting revenues by aggregating analyst forecasts is a fundamental problem in financial research and practice. A key objective in this context is to improve the accuracy of the forecast by optimizing two performance metrics: the hit…

Methodology · Statistics 2025-03-27 Henry D. van Eijk , Sujit K. Ghosh

In recent decades, new methods and approaches have been developed for forecasting intermittent demand series. However, the majority of research has focused on point forecasting, with little exploration into probabilistic intermittent demand…

Applications · Statistics 2024-04-16 Shengjie Wang , Yanfei Kang , Fotios Petropoulos

The forecasting combination puzzle is a well-known phenomenon in forecasting literature, stressing the challenge of outperforming the simple average when aggregating forecasts from diverse methods. This study proposes a Reinforcement…

Econometrics · Economics 2025-08-29 Marcelo C. Medeiros , Jeronymo M. Pinro
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