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A new ensemble forecast algorithm, named as the physics-informed data-driven algorithm with conditional Gaussian statistics (PIDD-CG), is developed to predict the time evolution of the probability density functions (PDFs) of complex…

Fluid Dynamics · Physics 2022-04-20 Nan Chen , Di Qi

IIn recent years, there has been a growing interest in applying data assimilation (DA) methods, originally designed for state estimation, to the model selection problem. In this setting, Carrassi et al. (2017) introduced the contextual…

Methodology · Statistics 2018-10-10 Sammy Metref , Alexis Hannart , Juan Ruiz , Marc Bocquet , Alberto Carrassi , Michael Ghil

Accurate prediction of structural dynamics is imperative for preserving digital twin fidelity throughout operational lifetimes. Parametric models with fixed nominal parameters often omit critical physical effects due to simplifications in…

Machine Learning · Statistics 2026-01-12 Rohan Vitthal Thorat , Rajdip Nayek

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

There has been a recent surge in development of accurate machine learning (ML) weather prediction models, but evaluation of these models has mainly been focused on medium-range forecasts, not their performance in cycling data assimilation…

Atmospheric and Oceanic Physics · Physics 2024-12-25 Laura C. Slivinski , Jeffrey S. Whitaker , Sergey Frolov , Timothy A. Smith , Niraj Agarwal

Conformal prediction has emerged as a popular technique for facilitating valid predictive inference across a spectrum of machine learning models, under minimal assumption of exchangeability. Recently, Hoff (2023) showed that full conformal…

Statistics Theory · Mathematics 2025-11-24 Pankaj Bhagwat , Linglong Kong , Bei Jiang

Ensemble Kalman methods are widely used for state estimation in the geophysical sciences. Their success stems from the fact that they take an underlying (possibly noisy) dynamical system as a black box to provide a systematic,…

Optimization and Control · Mathematics 2024-10-10 Edoardo Calvello , Sebastian Reich , Andrew M. Stuart

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…

Atmospheric and Oceanic Physics · Physics 2024-03-26 Jonathan A. Weyn , Divya Kumar , Jeremy Berman , Najeeb Kazmi , Sylwester Klocek , Pete Luferenko , Kit Thambiratnam

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

Machine Learning · Computer Science 2018-12-20 Jeremiah Zhe Liu , John Paisley , Marianthi-Anna Kioumourtzoglou , Brent A. Coull

Many methods have been proposed to quantify the predictive uncertainty associated with the outputs of deep neural networks. Among them, ensemble methods often lead to state-of-the-art results, though they require modifications to the…

Machine Learning · Computer Science 2021-05-11 Zhiyun Lu , Eugene Ie , Fei Sha

Uncertainty in the prediction of future weather is commonly assessed through the use of forecast ensembles that employ a numerical weather prediction model in distinct variants. Statistical postprocessing can correct for biases in the…

Applications · Statistics 2016-06-16 Annette Möller , Thordis L. Thorarinsdottir , Alex Lenkoski , Tilmann Gneiting

Data-driven prediction and physics-agnostic machine-learning methods have attracted increased interest in recent years achieving forecast horizons going well beyond those to be expected for chaotic dynamical systems. In a separate strand of…

Data Analysis, Statistics and Probability · Physics 2021-05-19 Georg A. Gottwald , Sebastian Reich

Accurate prediction of atmospheric optical turbulence in localized environments is essential for estimating the performance of free-space optical systems. Macro-meteorological models developed to predict turbulent effects in one environment…

Atmospheric and Oceanic Physics · Physics 2023-10-30 Christopher Jellen , Charles Nelson , John Burkhardt , Cody Brownell

Ensemble forecasts and their combination are examined from the perspective of probability spaces. Manipulating ensemble forecasts as discrete probability distributions, multi-model ensemble (MME) forecasts are reformulated as barycenters of…

Applications · Statistics 2025-03-24 Camille Le Coz , Alexis Tantet , Rémi Flamary , Riwal Plougonven

Feature engineering has become one of the most important steps to improve model prediction performance, and to produce quality datasets. However, this process requires non-trivial domain-knowledge which involves a time-consuming process.…

Recent works have presented promising results from the application of machine learning (ML) to the modeling of flow rates in oil and gas wells. Encouraging results and advantageous properties of ML models, such as computationally cheap…

Machine Learning · Computer Science 2022-01-10 Bjarne Grimstad , Mathilde Hotvedt , Anders T. Sandnes , Odd Kolbjørnsen , Lars S. Imsland

Quantum scattering calculations for all but low-dimensional systems at low energies must rely on approximations. All approximations introduce errors. The impact of these errors is often difficult to assess because they depend on the…

Machine learning-based Deepfake detection models have achieved impressive results on benchmark datasets, yet their performance often deteriorates significantly when evaluated on out-of-distribution data. In this work, we investigate an…

Computer Vision and Pattern Recognition · Computer Science 2025-07-09 Haroon Wahab , Hassan Ugail , Lujain Jaleel

Time series models often deal with extreme events and anomalies, both prevalent in real-world datasets. Such models often need to provide careful probabilistic forecasting, which is vital in risk management for extreme events such as…

Machine Learning · Statistics 2022-08-23 Ashkan Farhangi , Jiang Bian , Arthur Huang , Haoyi Xiong , Jun Wang , Zhishan Guo

This paper is concerned with sequential state filtering in the presence of nonlinearity, non-Gaussianity and model uncertainty. For this problem, the Bayesian model averaged particle filter (BMAPF) is perhaps one of the most efficient…

Computation · Statistics 2020-01-28 Bin Liu