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The low frequency variability of the extratropical atmosphere involves hemispheric-scale recurring, often persistent, states known as teleconnection patterns or regimes, which can have profound impact on predictability on intra-seasonal and…

Atmospheric and Oceanic Physics · Physics 2024-01-31 Dmitry Mukhin , Abdel Hannachi , Tobias Braun , Norbert Marwan

Recent years have seen a surge in interest in building deep learning-based fully data-driven models for weather prediction. Such deep learning models if trained on observations can mitigate certain biases in current state-of-the-art weather…

Machine Learning · Computer Science 2022-05-11 Ashesh Chattopadhyay , Jaideep Pathak , Ebrahim Nabizadeh , Wahid Bhimji , Pedram Hassanzadeh

Ensemble Kalman methods were initially developed to solve nonlinear data assimilation problems in oceanography, but are now popular in applications far beyond their original use cases. Of particular interest is climate model calibration. As…

Data Analysis, Statistics and Probability · Physics 2025-11-21 Rebecca Gjini , Matthias Morzfeld , Oliver R. A. Dunbar , Tapio Schneider

Predictability estimates of ensemble prediction systems are uncertain due to limited numbers of past forecasts and observations. To account for such uncertainty, this paper proposes a Bayesian inferential framework that provides a simple…

Atmospheric transient eddies and low-frequency flow contribution to the ocean surface wave climate in the North Atlantic during boreal winter is investigated (1980 - 2016). We conduct a set of numerical simulations with a state-of-the-art…

Atmospheric and Oceanic Physics · Physics 2021-06-10 Margarita Markina , Josh Studholme , Sergey Gulev

Accurately quantifying air-sea fluxes is important for understanding air-sea interactions and improving coupled weather and climate systems. This study introduces a probabilistic framework to represent the highly variable nature of air-sea…

Atmospheric and Oceanic Physics · Physics 2026-01-30 Jiarong Wu , Pavel Perezhogin , David John Gagne , Brandon Reichl , Aneesh C. Subramanian , Elizabeth Thompson , Laure Zanna

Planetary and synoptic scale wave-packets represent one important component of the atmospheric large-scale circulation. These dissipative structures are able to rapidly transport eddy kinetic energy, generated locally (e.g. by baroclinic…

Atmospheric and Oceanic Physics · Physics 2011-06-09 Federico Grazzini , Valerio Lucarini

The Ensemble Kalman filter and Ensemble square root filters are data assimilation methods used to combine high dimensional nonlinear models with observed data. These methods have proved to be indispensable tools in science and engineering…

Probability · Mathematics 2015-07-31 Xin T Tong , Andrew J Majda , David Kelly

State estimation in multi-layer turbulent flow fields with only a single layer of partial observation remains a challenging yet practically important task. Applications include inferring the state of the deep ocean by exploiting surface…

Fluid Dynamics · Physics 2025-09-30 Zhongrui Wang , Nan Chen , Di Qi

We study parameter estimation for non-global parameters in a low-dimensional chaotic model using the local ensemble transform Kalman filter (LETKF). By modifying existing techniques for using observational data to estimate global…

Data Analysis, Statistics and Probability · Physics 2014-09-03 Thomas Bellsky , Jesse Berwald , Lewis Mitchell

Semiparametric forecasting and filtering are introduced as a method of addressing model errors arising from unresolved physical phenomena. While traditional parametric models are able to learn high-dimensional systems from small data sets,…

Methodology · Statistics 2016-02-17 Tyrus Berry , John Harlim

Many problems in the geophysical sciences demand the ability to calibrate the parameters and predict the time evolution of complex dynamical models using sequentially-collected data. Here we introduce a general methodology for the joint…

Computation · Statistics 2018-12-12 Sara Pérez-Vieites , Inés P. Mariño , Joaquín Míguez

Predicting high-dimensional dynamical systems with irregular time steps presents significant challenges for current data-driven algorithms. These irregularities arise from missing data, sparse observations, or adaptive computational…

Machine Learning · Computer Science 2026-03-27 Kewei Zhu , Yanze Xin , Jinwei Hu , Xiaoyuan Cheng , Yiming Yang , Sibo Cheng

Data assimilation provides algorithms for widespread applications in various fields. It is of practical use to deal with a large amount of information in the complex system that is hard to estimate. Weather forecasting is one of the…

Optimization and Control · Mathematics 2023-03-23 Yihua Yang

Analog forecasting has been applied in a variety of fields for predicting future states of complex nonlinear systems that require flexible forecasting methods. Past analog methods have almost exclu- sively been used in an empirical…

Methodology · Statistics 2016-02-16 Patrick L. McDermott , Christopher K. Wikle

Short-term forecasting is an important tool in understanding environmental processes. In this paper, we incorporate machine learning algorithms into a conditional distribution estimator for the purposes of forecasting tropical cyclone…

Machine Learning · Statistics 2020-08-19 David B. Huberman , Brian J. Reich , Howard D. Bondell

Ensemble forecast post-processing is a necessary step in producing accurate probabilistic forecasts. Conventional post-processing methods operate by estimating the parameters of a parametric distribution, frequently on a per-location or…

Machine Learning · Computer Science 2023-05-01 Peter Mlakar , Janko Merše , Jana Faganeli Pucer

Predictability of flow is examined in a barotropic vorticity model that admits low frequency regime transitions between zonal and dipolar states. Such transitions in the model were first studied by Bouchet and Simonnet (2009) and are…

Chaotic Dynamics · Physics 2016-05-20 B. T. Nadiga , T. J. O'Kane

Producing high-quality forecasts of key climate variables, such as temperature and precipitation, on subseasonal time scales has long been a gap in operational forecasting. This study explores an application of machine learning (ML) models…

Machine Learning · Computer Science 2024-09-17 Elena Orlova , Haokun Liu , Raphael Rossellini , Benjamin A. Cash , Rebecca Willett

Since the weather is chaotic, forecasts aim to predict the distribution of future states rather than make a single prediction. Recently, multiple data driven weather models have emerged claiming breakthroughs in skill. However, these have…