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In hydrology, modeling streamflow remains a challenging task due to the limited availability of basin characteristics information such as soil geology and geomorphology. These characteristics may be noisy due to measurement errors or may be…

Current hydrological modeling methods combine data-driven Machine Learning (ML) algorithms and traditional physics-based models to address their respective limitations incorrect parameter estimates from rigid physics-based models and the…

机器学习 · 计算机科学 2024-02-22 Mostafa Esmaeilzadeh , Melika Amirzadeh

In a crowd forecasting system, aggregation is an algorithm that returns aggregated probabilities for each question based on the probabilities provided per question by each individual in the crowd. Various aggregation methods have been…

应用统计 · 统计学 2022-03-18 Yuzhong Huang , Andres Abeliuk , Fred Morstatter , Pavel Atanasov , Aram Galstyan

Ensemble learning is a mainstay in modern data science practice. Conventional ensemble algorithms assign to base models a set of deterministic, constant model weights that (1) do not fully account for individual models' varying accuracy…

统计方法学 · 统计学 2019-04-02 Jeremiah Zhe Liu , John Paisley , Marianthi-Anna Kioumourtzoglou , Brent A. Coull

Capturing the uncertainty in probabilistic wind power forecasts is challenging, especially when uncertain input variables, such as the weather, play a role. Since ensemble weather predictions aim to capture the uncertainty in the weather…

应用统计 · 统计学 2022-04-26 Kaleb Phipps , Sebastian Lerch , Maria Andersson , Ralf Mikut , Veit Hagenmeyer , Nicole Ludwig

Delivering useful hydrological forecasts is critical for urban and agricultural water management, hydropower generation, flood protection and management, drought mitigation and alleviation, and river basin planning and management, among…

应用统计 · 统计学 2020-08-19 Georgia Papacharalampous , Hristos Tyralis

Critical decisions frequently rely on high-dimensional output from complex computer simulation models that show intricate cross-variable, spatial and temporal dependence structures, with weather and climate predictions being key examples.…

统计方法学 · 统计学 2013-12-24 Roman Schefzik , Thordis L. Thorarinsdottir , Tilmann Gneiting

In numerical modeling of the Earth System, many processes remain unknown or ill represented (let us quote sub-grid processes, the dependence to unknown latent variables or the non-inclusion of complex dynamics in numerical models) but…

数据分析、统计与概率 · 物理学 2019-03-19 Julien Brajard , Anastase Charantonis , Jérôme Sirven

Ensemble forecasting is, so far, the most successful approach to produce relevant forecasts with an estimation of their uncertainty. The main limitations of ensemble forecasting are the high computational cost and the difficulty to capture…

机器学习 · 计算机科学 2022-12-21 Maximiliano A. Sacco , Juan J. Ruiz , Manuel Pulido , Pierre Tandeo

Ensembles of forecasts are typically employed to account for the forecast uncertainties inherent in predictions of future weather states. However, biases and dispersion errors often present in forecast ensembles require statistical…

统计方法学 · 统计学 2015-07-21 Sándor Baran , Annette Möller

Ensemble weather forecasts enable a measure of uncertainty to be attached to each forecast, by computing the ensemble's spread. However, generating an ensemble with a good spread-error relationship is far from trivial, and a wide range of…

大气与海洋物理 · 物理学 2021-01-05 Sebastian Scher , Gabriele Messori

Weather forecasting centers currently rely on statistical postprocessing methods to minimize forecast error. This improves skill but can lead to predictions that violate physical principles or disregard dependencies between variables, which…

大气与海洋物理 · 物理学 2023-05-23 Francesco Zanetta , Daniele Nerini , Tom Beucler , Mark A. Liniger

Estimating and disentangling epistemic uncertainty, uncertainty that is reducible with more training data, and aleatoric uncertainty, uncertainty that is inherent to the task at hand, is critically important when applying machine learning…

机器学习 · 计算机科学 2024-11-08 Matthew A. Chan , Maria J. Molina , Christopher A. Metzler

Seamless forecasts are based on a combination of different sources to produce the best possible forecasts. Statistical multimodel postprocessing helps to combine various sources to achieve these seamless forecasts. However, when one of the…

统计方法学 · 统计学 2024-10-17 Markus Dabernig , Aitor Atencia

We describe various moment-based ensemble interpretation models for the construction of probabilistic temperature forecasts from ensembles. We apply the methods to one year of medium range ensemble forecasts and perform in and out of sample…

大气与海洋物理 · 物理学 2007-05-23 Stephen Jewson

Predictions and forecasts of machine learning models should take the form of probability distributions, aiming to increase the quantity of information communicated to end users. Although applications of probabilistic prediction and…

机器学习 · 统计学 2024-03-19 Hristos Tyralis , Georgia Papacharalampous

Deep Learning is becoming an increasingly important way to produce accurate hydrological predictions across a wide range of spatial and temporal scales. Uncertainty estimations are critical for actionable hydrological forecasting, and while…

Every day, we judge the probability of propositions. When we communicate graded confidence (e.g. "I am 90% sure"), we enable others to gauge how much weight to attach to our judgment. Ideally, people should share their judgments to reach…

定量方法 · 定量生物学 2025-01-10 Patrick Stinson , Jasper van den Bosch , Trenton Jerde , Nikolaus Kriegeskorte

Predicting the spatiotemporal variation in streamflow along with uncertainty quantification enables decision-making for sustainable management of scarce water resources. Process-based hydrological models (aka physics-based models) are based…

Statistical post-processing techniques are now widely used to correct systematic biases and errors in calibration of ensemble forecasts obtained from multiple runs of numerical weather prediction models. A standard approach is the ensemble…

统计方法学 · 统计学 2018-05-23 Sándor Baran , Sebastian Lerch