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We propose a novel, succinct, and effective approach for distribution prediction to quantify uncertainty in machine learning. It incorporates adaptively flexible distribution prediction of $\mathbb{P}(\mathbf{y}|\mathbf{X}=x)$ in regression…

Machine Learning · Computer Science 2023-06-21 Xing Yan , Yonghua Su , Wenxuan Ma

Forecast combination -- the aggregation of individual forecasts from multiple experts or models -- is a proven approach to economic forecasting. To date, research on economic forecasting has concentrated on local combination methods, which…

Econometrics · Economics 2024-03-12 Ryan Thompson , Yilin Qian , Andrey L. Vasnev

Earth System Models (ESMs) are the state of the art for projecting the effects of climate change. However, longstanding uncertainties in their ability to simulate regional and local precipitation extremes and related processes inhibit…

Applications · Statistics 2017-07-20 Evan Kodra , Singdhansu Chatterjee , Stone Chen , Auroop R. Ganguly

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

Accurate and reliable probabilistic forecasts of hydrological quantities like runoff or water level are beneficial to various areas of society. Probabilistic state-of-the-art hydrological ensemble prediction models are usually driven with…

Applications · Statistics 2020-01-17 Sándor Baran , Stephan Hemri , Mehrez El Ayari

We investigate the performance and sampling variability of estimated forecast combinations, with particular attention given to the combination of forecast distributions. Unknown parameters in the forecast combination are optimized according…

Methodology · Statistics 2022-06-07 Ryan Zischke , Gael M. Martin , David T. Frazier , D. S. Poskitt

In this article, we propose a novel ensemble technique with a multi-scheme weighting based on a technique called coopetitive soft gating. This technique combines both, ensemble member competition and cooperation, in order to maximize the…

Applications · Statistics 2018-03-20 André Gensler , Bernhard Sick

A new index for high-impact weather forecasting is introduced and assessed in comparison with the well-established extreme forecast index (EFI). Two other ensemble summary statistics are also included in this comparison study: the…

Applications · Statistics 2023-12-05 Zied Ben-Bouallegue

We investigate the potential added value of running three limited-area ensemble systems (with the WRF, Meso-NH and MOLOCH models and a grid spacing of approximately 2.5 km) for two heavy-precipitation events in Italy. Such high-resolution…

Atmospheric and Oceanic Physics · Physics 2021-03-23 Valerio Capecchi

Quantifying the impacts of anthropogenic global warming requires accurate Earth system model (ESM) simulations. Statistical bias correction and downscaling can be applied to reduce errors and increase the resolution of ESMs. However,…

Geophysics · Physics 2024-06-24 Philipp Hess , Niklas Boers

Studying low-likelihood high-impact extreme weather events in a warming world is a significant and challenging task for current ensemble forecasting systems. While these systems presently use up to 100 members, larger ensembles could enrich…

Accurate precipitation forecasts have a high socio-economic value due to their role in decision-making in various fields such as transport networks and farming. We propose a global statistical postprocessing method for grid-based…

Machine Learning · Statistics 2024-07-03 Romain Pic , Clément Dombry , Philippe Naveau , Maxime Taillardat

The solar wind speed at Earth is one of the most important parameters regarding the effects of space weather on society. Thus far, most approaches for predicting the solar wind speed produce a single-value time series without uncertainty,…

Solar and Stellar Astrophysics · Physics 2026-03-13 Daniel E. da Silva , Yash Parlikar , Shaela I. Jones , Charles N. Arge

Time series forecasting plays an increasingly important role in modern business decisions. In today's data-rich environment, people often aim to choose the optimal forecasting model for their data. However, identifying the optimal model…

Applications · Statistics 2021-12-17 Xixi Li , Fotios Petropoulos , Yanfei Kang

Accurate univariate forecasting remains a pressing need in real-world systems, such as energy markets, hydrology, retail demand, and IoT monitoring, where signals are often intermittent and horizons span both short- and long-term. While…

Machine Learning · Computer Science 2025-08-26 Kyrylo Yemets , Mykola Lukashchuk , Ivan Izonin

Convective available potential energy (CAPE) is an important variable for forecasting severe weather and understanding deep convection and precipitation. The latest versions of the Global Forecast System (GFS) and related Global Ensemble…

Atmospheric and Oceanic Physics · Physics 2026-05-26 Zachary James , Joseph Guinness , Arthur DeGaetano

Machine learning for weather prediction increasingly relies on ensemble methods to provide probabilistic forecasts. Diffusion-based models have shown strong performance in Limited-Area Modeling (LAM) but remain computationally expensive at…

Machine Learning · Computer Science 2025-11-27 Erik Larsson , Joel Oskarsson , Tomas Landelius , Fredrik Lindsten

Accurate time series forecasting is critical for a wide range of problems with temporal data. Ensemble modeling is a well-established technique for leveraging multiple predictive models to increase accuracy and robustness, as the…

Machine Learning · Computer Science 2023-04-11 Dimitris Bertsimas , Leonard Boussioux

Weather forecasts are fundamentally uncertain, so predicting the range of probable weather scenarios is crucial for important decisions, from warning the public about hazardous weather, to planning renewable energy use. Here, we introduce…

The rapid growth in wireless infrastructure has increased the need to accurately estimate and forecast electromagnetic field (EMF) levels to ensure ongoing compliance, assess potential health impacts, and support efficient network planning.…

Machine Learning · Computer Science 2026-05-18 Zijiang Yan , Yixiang Huang , Jianhua Pei , Hina Tabassum , Luca Chiaraviglio