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Mean field electrodynamics (MFE) facilitates practical modeling of secular, large scale properties of astrophysical or laboratory systems with fluctuations.Practitioners commonly assume wide scale separation between mean and fluctuating…

等离子体物理 · 物理学 2019-03-22 Hongzhe Zhou , Eric G. Blackman , Luke Chamandy

Combining forecast from different models has shown to perform better than single forecast in most time series. To improve the quality of forecast we can go for combining forecast. We study the effect of decomposing a series into multiple…

应用统计 · 统计学 2013-03-04 Manisha Gahirwal

Distributed delay equations have been used to model situations in which there is some sort of delay whose duration is uncertain. However, the interpretation of a distributed delay equation is actually very different from that of a delay…

动力系统 · 数学 2021-06-23 Philip Doldo , Jamol Pender

Conditional forecasts, i.e. projections of a set of variables of interest on the future paths of some other variables, are used routinely by empirical macroeconomists in a number of applied settings. In spite of this, the existing…

计量经济学 · 经济学 2024-07-03 Joshua C. C. Chan , Davide Pettenuzzo , Aubrey Poon , Dan Zhu

To compare different forecasting methods on demand series we require an error measure. Many error measures have been proposed, but when demand is intermittent some become inapplicable, some give counter-intuitive results, and there is no…

统计方法学 · 统计学 2015-01-20 S. D. Prestwich , R. Rossi , S. A. Tarim , B. Hnich

Future Event Prediction (FEP) is an essential activity whose demand and application range across multiple domains. While traditional methods like simulations, predictive and time-series forecasting have demonstrated promising outcomes,…

机器学习 · 计算机科学 2025-02-13 Anisha Saha , Adam Jatowt

Statistical postprocessing is used to translate ensembles of raw numerical weather forecasts into reliable probabilistic forecast distributions. In this study, we examine the use of permutation-invariant neural networks for this task. In…

机器学习 · 统计学 2024-01-22 Kevin Höhlein , Benedikt Schulz , Rüdiger Westermann , Sebastian Lerch

In machine learning ensembles predictions from multiple models are aggregated. Despite widespread use and strong performance of ensembles in applied problems little is known about the mathematical properties of aggregating models and…

机器学习 · 计算机科学 2024-08-27 Jeremy Kedziora

We present an operations-ready multi-model ensemble weather forecasting system which uses hybrid data-driven weather prediction models coupled with the European Centre for Medium-range Weather Forecasts (ECMWF) ocean model to predict global…

大气与海洋物理 · 物理学 2024-03-26 Jonathan A. Weyn , Divya Kumar , Jeremy Berman , Najeeb Kazmi , Sylwester Klocek , Pete Luferenko , Kit Thambiratnam

Probability forecasts of events are routinely used in climate predictions, in forecasting default probabilities on bank loans or in estimating the probability of a patient's positive response to treatment. Scoring rules have long been used…

统计理论 · 数学 2012-02-24 Tze Leung Lai , Shulamith T. Gross , David Bo Shen

The ECMWF ensemble weather forecasts are generated by perturbing the initial conditions of the forecast using a subset of the singular vectors of the linearised propagator. Previous results show that when creating probabilistic forecasts…

大气与海洋物理 · 物理学 2007-05-23 Stephen Jewson , Maarten Ambaum , Christine Ziehmann

An influential step in weather forecasting was the introduction of ensemble forecasts in operational use due to their capability to account for the uncertainties in the future state of the atmosphere. However, ensemble weather forecasts are…

应用统计 · 统计学 2023-05-25 Mária Lakatos , Sebastian Lerch , Stephan Hemri , Sándor Baran

While multimodal data sources are increasingly available from real-world forecasting, most existing research remains on unimodal time series. In this work, we present MoTime, a suite of multimodal time series forecasting datasets that pair…

机器学习 · 计算机科学 2025-06-02 Xin Zhou , Weiqing Wang , Francisco J. Baldán , Wray Buntine , Christoph Bergmeir

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…

In our contemporary era, meteorological weather forecasts increasingly incorporate ensemble predictions of visibility - a parameter of great importance in aviation, maritime navigation, and air quality assessment, with direct implications…

应用统计 · 统计学 2025-08-22 Mária Lakatos , Sándor Baran

Seasonal climate predictions support planning and risk management by offering early information of the most likely-to-occur climate conditions in the coming months, and associated uncertainties. Ensemble forecasts enable this by simulating…

机器学习 · 计算机科学 2026-05-29 Parsa Gooya , Reinel Sospedra-Alfonso

Large ensembles of climate projections are essential for characterizing uncertainty in future climate and extreme weather events, yet computational constraints of numerical climate models limit ensemble sizes to a small number of…

大气与海洋物理 · 物理学 2025-12-01 Francesco Immorlano , Elijah Tavares , Felix Draxler , Padhraic Smyth , Pierre Gentine , Stephan Mandt

Global medium-range weather forecasting is critical to decision-making across many social and economic domains. Traditional numerical weather prediction uses increased compute resources to improve forecast accuracy, but cannot directly use…

Compartmental epidemic models have been widely used for predicting the course of epidemics, from estimating the basic reproduction number to guiding intervention policies. Studies commonly acknowledge these models' assumptions but less…

种群与进化 · 定量生物学 2022-11-23 Alexander F. Siegenfeld , Pratyush K. Kollepara , Yaneer Bar-Yam

State-of-the-art weather forecasts usually rely on ensemble prediction systems, accounting for the different sources of uncertainty. As ensembles are typically uncalibrated, they should get statistically postprocessed. Several multivariate…

统计方法学 · 统计学 2016-09-21 Roman Schefzik