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Related papers: Forecast Combination Under Heavy-Tailed Errors

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Multi-step-ahead forecasts are often updated as new observations become available, since shorter forecast horizons typically improve forecast quality. However, such improvements come at the cost of forecast instability, i.e., variability in…

Machine Learning · Computer Science 2026-05-28 Jente Van Belle , Honglin Wen , Wouter Verbeke , Pierre Pinson

Long-tailed distributions in class-imbalanced data present a fundamental challenge for deep learning models, which tend to be biased toward majority classes. While recent methods for long-tailed recognition have mitigated this issue, they…

Computer Vision and Pattern Recognition · Computer Science 2026-05-12 Heegeon Yoon , Heeyoung Kim

Estimating the probability of extreme events involving multiple risk factors is a critical challenge in fields such as finance and climate science. This paper proposes a semi-parametric approach to estimate the probability that a…

Methodology · Statistics 2024-12-31 Anna Kiriliouk , Chen Zhou

In the last decades wind power became the second largest energy source in the EU covering 16% of its electricity demand. However, due to its volatility, accurate short range wind power predictions are required for successful integration of…

Applications · Statistics 2022-06-22 Sándor Baran , Ágnes Baran

Complex numerical weather prediction models incorporate a variety of physical processes, each described by multiple alternative physical schemes with specific parameters. The selection of the physical schemes and the choice of the…

Numerical Analysis · Computer Science 2018-02-23 Azam Moosavi , Vishwas Rao , Adrian Sandu

We use a decision-theoretic framework to study the problem of forecasting discrete outcomes when the forecaster is unable to discriminate among a set of plausible forecast distributions because of partial identification or concerns about…

Econometrics · Economics 2020-12-18 Timothy Christensen , Hyungsik Roger Moon , Frank Schorfheide

We propose and analyze a new estimator of the covariance matrix that admits strong theoretical guarantees under weak assumptions on the underlying distribution, such as existence of moments of only low order. While estimation of covariance…

Statistics Theory · Mathematics 2018-01-17 Stanislav Minsker , Xiaohan Wei

Weather forecasting is essential for various human activities. Recent data-driven models have outperformed numerical weather prediction by utilizing deep learning in forecasting performance. However, challenges remain in efficiently…

Machine Learning · Computer Science 2024-07-01 Ayumu Ueyama , Kazuhiko Kawamoto , Hiroshi Kera

The literature is rich with studies, analyses, and examples on parameter estimation for describing the evolution of chaotic dynamical systems based on measurements, even when only partial information is available through observations.…

Chaotic Dynamics · Physics 2025-08-07 Michele Baia , Tommaso Matteuzzi , Franco Bagnoli

Short-term (0-24 hours) precipitation forecasting is highly valuable to socioeconomic activities and public safety. However, the highly complex evolution patterns of precipitation events, the extreme imbalance between precipitation and…

Machine Learning · Computer Science 2026-03-30 Shuangliang Li , Siwei Li , Li Li , Weijie Zou , Jie Yang , Maolin Zhang

Performative predictions are forecasts which influence the outcomes they aim to predict, undermining the existence of correct forecasts and standard methods of elicitation and estimation. We show that conditioning forecasts on covariates…

Statistics Theory · Mathematics 2025-10-27 Philip Boeken , Onno Zoeter , Joris M. Mooij

Reliable precipitation nowcasting is critical for weather-sensitive decision-making, yet neural weather models (NWMs) can produce poorly calibrated probabilistic forecasts. Standard calibration metrics such as the expected calibration error…

Machine Learning · Computer Science 2025-12-01 Lauri Kurki , Yaniel Cabrera , Samu Karanko

Airline operations are subject to many uncertainties, such as weather, varying demand, maintenance events, congestion, etc. Large amounts of information are currently ignored due to difficulties in processing big data sets. We explore the…

Systems and Control · Electrical Eng. & Systems 2023-07-28 Ítalo Romani de Oliveira , Steve Altus , Sergey Tiourine , Euclides C. Pinto Neto , Alexandre Leite , Felipe C. F. de Azevedo

The U.S. COVID-19 Forecast Hub aggregates forecasts of the short-term burden of COVID-19 in the United States from many contributing teams. We study methods for building an ensemble that combines forecasts from these teams. These…

We study the problem of factor modelling vector- and tensor-valued time series in the presence of heavy tails in the data, which produce extreme observations with non-negligible probability. We propose to combine a two-step procedure for…

Methodology · Statistics 2025-09-08 Matteo Barigozzi , Haeran Cho , Hyeyoung Maeng

This paper proposes a Mixture Density Network specifically designed for forecasting time series that exhibit locally explosive behavior. By incorporating skewed t-distributions as mixture components, our approach offers enhanced flexibility…

Methodology · Statistics 2026-02-11 Elena Dumitrescu , Julien Peignon , Arthur Thomas

Model averaging combines forecasts obtained from a range of models, and it often produces more accurate forecasts than a forecast from a single model. The crucial part of forecast accuracy improvement in using the model averaging lies in…

Applications · Statistics 2018-10-01 Han Lin Shang , Steven Haberman

Many real-world prediction tasks have outcome variables that have characteristic heavy-tail distributions. Examples include copies of books sold, auction prices of art pieces, demand for commodities in warehouses, etc. By learning…

Machine Learning · Computer Science 2023-10-13 Xindi Wang , Onur Varol , Tina Eliassi-Rad

Distributed, small-scale solar photovoltaic (PV) systems are being installed at a rapidly increasing rate. This can cause major impacts on distribution networks and energy markets. As a result, there is a significant need for improved…

Machine Learning · Computer Science 2022-06-23 Maneesha Perera , Julian De Hoog , Kasun Bandara , Saman Halgamuge

Forecasting the weather is an increasingly data intensive exercise. Numerical Weather Prediction (NWP) models are becoming more complex, with higher resolutions, and there are increasing numbers of different models in operation. While the…

Applications · Statistics 2021-03-17 Charlie Kirkwood , Theo Economou , Henry Odbert , Nicolas Pugeault
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