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The contribution of this work is twofold: (1) We introduce a collection of ensemble methods for time series forecasting to combine predictions from base models. We demonstrate insights on the power of ensemble learning for forecasting,…

Machine Learning · Computer Science 2021-04-26 Julia Gastinger , Sébastien Nicolas , Dušica Stepić , Mischa Schmidt , Anett Schülke

Precipitation forecasts are less accurate compared to other meteorological fields because several key processes affecting precipitation distribution and intensity occur below the resolved scale of global weather prediction models. This…

Atmospheric and Oceanic Physics · Physics 2023-04-21 Rüdiger Brecht , Alex Bihlo

The characteristics of influenza seasons varies substantially from year to year, posing challenges for public health preparation and response. Influenza forecasting is used to inform seasonal outbreak response, which can in turn potentially…

Applications · Statistics 2022-03-16 Nutcha Wattanachit , Evan L. Ray , Thomas C. McAndrew , Nicholas G. Reich

It is often assumed that events cannot occur simultaneously when modelling data with point processes. This raises a problem as real-world data often contains synchronous observations due to aggregation or rounding, resulting from…

Methodology · Statistics 2021-08-30 Leigh Shlomovich , Edward A. K. Cohen , Niall Adams

Mixture of Experts (MoE) is a popular framework in the fields of statistics and machine learning for modeling heterogeneity in data for regression, classification and clustering. MoE for continuous data are usually based on the normal…

Methodology · Statistics 2016-12-22 Faicel Chamroukhi

Multimodal sentiment analysis (MSA) and emotion recognition in conversation (ERC) are key research topics for computers to understand human behaviors. From a psychological perspective, emotions are the expression of affect or feelings…

Computation and Language · Computer Science 2022-11-22 Guimin Hu , Ting-En Lin , Yi Zhao , Guangming Lu , Yuchuan Wu , Yongbin Li

This paper is devoted to provide a theoretical underpinning for ensemble forecasting with rapid fluctuations in body forcing and in boundary conditions. Ensemble averaging principles are proved under suitable `mixing' conditions on random…

Probability · Mathematics 2012-07-26 Wei Wang , Jian Ren , Jinqiao Duan , Guowei He

Earth System Models (ESMs) are essential for understanding the interaction between human activities and the Earth's climate. However, the computational demands of ESMs often limit the number of simulations that can be run, hindering the…

Atmospheric and Oceanic Physics · Physics 2024-09-19 Seth Bassetti , Brian Hutchinson , Claudia Tebaldi , Ben Kravitz

Climate change is increasing the occurrence of extreme precipitation events, threatening infrastructure, agriculture, and public safety. Ensemble prediction systems provide probabilistic forecasts but exhibit biases and difficulties in…

Machine Learning · Computer Science 2025-04-09 Christopher Bülte , Sohir Maskey , Philipp Scholl , Jonas von Berg , Gitta Kutyniok

Although numerical weather forecasting methods have dominated the field, recent advances in deep learning methods, such as diffusion models, have shown promise in ensemble weather forecasting. However, such models are typically…

Machine Learning · Computer Science 2025-09-16 Kevin Valencia , Ziyang Liu , Justin Cui

Weather and climate forecasts are inherently uncertain due to chaotic dynamics, imperfect initial conditions, and incomplete representation of the underlying physical processes. Operational ensemble forecasts aim to represent these…

Machine Learning · Computer Science 2026-05-26 Birgit Kühbacher , Daan Crommelin , Niki Kilbertus

The predictive advantage of combining several different predictive models is widely accepted. Particularly in time series forecasting problems, this combination is often dynamic to cope with potential non-stationary sources of variation…

Machine Learning · Statistics 2021-04-06 Vitor Cerqueira , Luis Torgo , Carlos Soares , Albert Bifet

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…

For many cancer sites low-dose risks are not known and must be extrapolated from those observed in groups exposed at much higher levels of dose. Measurement error can substantially alter the dose-response shape and hence the extrapolated…

Quantitative Methods · Quantitative Biology 2024-03-15 Mark P Little , Nobuyuki Hamada , Lydia B Zablotska

A common technique to reduce model bias in time-series forecasting is to use an ensemble of predictive models and pool their output into an ensemble forecast. In cases where each predictive model has different biases, however, it is not…

Machine Learning · Computer Science 2023-10-26 Dhruvit Patel , Alexander Wikner

Pairwise Markov Models (PMMs) extend the wellknown Hidden Markov Models (HMMs). Being significantly more general, PMMs enable several types of processing, like Bayesian filtering or smoothing, similar to those used in HMMs. In this paper,…

Dynamical Systems · Mathematics 2024-02-13 Marc Escudier , Ikram Abdelkefi , Clément Fernandes , Wojciech Pieczynski

We introduce the well-tempered ensemble (WTE) which is the biased ensemble sampled by well-tempered metadynamics when the energy is used as collective variable. WTE can be designed so as to have approximately the same average energy as the…

Statistical Mechanics · Physics 2015-05-14 M. Bonomi , M. Parrinello

Probabilistic forecasts in the form of ensemble of scenarios are required for complex decision making processes. Ensemble forecasting systems provide such products but the spatio-temporal structures of the forecast uncertainty is lost when…

Applications · Statistics 2016-12-21 Zied Ben Bouallegue , Tobias Heppelmann , Susanne E. Theis , Pierre Pinson

Reliable long-lead forecasting of the El Nino Southern Oscillation (ENSO) remains a long-standing challenge in climate science. The previously developed Multimodal ENSO Forecast (MEF) model uses 80 ensemble predictions by two independent…

Atmospheric and Oceanic Physics · Physics 2025-08-27 Saghar Ganji , Ahmad Reza Labibzadeh , Alireza Hassani , Mohammad Naisipour

Climate models are essential for assessing the impact of greenhouse gas emissions on our changing climate and the resulting increase in the frequency and severity of natural disasters. Despite the widespread acceptance of climate models…

Atmospheric and Oceanic Physics · Physics 2023-11-08 Vsevolod Morozov , Artem Galliamov , Aleksandr Lukashevich , Antonina Kurdukova , Yury Maximov
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