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We explore how neural differential equations (NDEs) may be trained on highly resolved fluid-dynamical models of unresolved scales providing an ideal framework for data-driven parameterizations in climate models. NDEs overcome some of the…

Among the most relevant processes in the Earth system for human habitability are quasi-periodic, ocean-driven multi-year events whose dynamics are currently incompletely characterized by physical models, and hence poorly predictable. This…

Atmospheric and Oceanic Physics · Physics 2023-08-09 Matthew Bonas , Christopher K. Wikle , Stefano Castruccio

Artificial intelligence (AI) - and specifically machine learning (ML) - applications for climate prediction across timescales are proliferating quickly. The emergence of these methods prompts a revisit to the impact of data preprocessing, a…

Traditional models of climate change use complex systems of coupled equations to simulate physical processes across the Earth system. These simulations are highly computationally expensive, limiting our predictions of climate change and…

Models of complex dynamical systems like the Earth's climate often involve large numbers of uncertain parameters. Comprehensive exploration of the parameter space is typically prohibitive due to excessive computational costs. Systematic…

Atmospheric and Oceanic Physics · Physics 2026-03-27 Daniel Pals , Sebastian Bathiany , Richard Wood , Joel Kuettel , Niklas Boers

State-space systems encompass a broad class of algorithms used for modeling and forecasting time series. For such systems to be effective, two objectives must be met: (i) accurate point forecasts of the time series must be produced, and…

Chaotic Dynamics · Physics 2026-05-12 James Murray Louw , Juan-Pablo Ortega

Climate models are often affected by long-term drift that is revealed by the evolution of global variables such as the ocean temperature or the surface air temperature. This spurious trend reduces the fidelity to initial conditions and has…

Atmospheric and Oceanic Physics · Physics 2017-09-20 Maura Brunetti , Christian Vérard

Errors in the representation of clouds in convection-permitting numerical weather prediction models can be introduced by different sources. These can be the forcing and boundary conditions, the representation of orography, the accuracy of…

Atmospheric and Oceanic Physics · Physics 2022-03-14 Stefanie Legler , Tijana Janjic

Advanced machine learning models have recently achieved high predictive accuracy for weather and climate prediction. However, these complex models often lack inherent transparency and interpretability, acting as "black boxes" that impede…

Atmospheric and Oceanic Physics · Physics 2024-03-29 Ruyi Yang , Jingyu Hu , Zihao Li , Jianli Mu , Tingzhao Yu , Jiangjiang Xia , Xuhong Li , Aritra Dasgupta , Haoyi Xiong

Typical deep learning approaches to modeling high-dimensional data often result in complex models that do not easily reveal a new understanding of the data. Research in the deep learning field is very actively pursuing new methods to…

Machine Learning · Computer Science 2022-05-16 Charles Anderson , Jason Stock , David Anderson

Aerosol particles play an important role in the climate system by absorbing and scattering radiation and influencing cloud properties. They are also one of the biggest sources of uncertainty for climate modeling. Many climate models do not…

Machine Learning · Computer Science 2021-09-30 Paula Harder , Duncan Watson-Parris , Dominik Strassel , Nicolas Gauger , Philip Stier , Janis Keuper

The modelling of small-scale processes is a major source of error in climate models, hindering the accuracy of low-cost models which must approximate such processes through parameterization. Red noise is essential to many operational…

Machine Learning · Computer Science 2022-09-13 Raghul Parthipan , Hannah M. Christensen , J. Scott Hosking , Damon J. Wischik

Urbanization enables economic growth but also harms the environment through degradation. Traditional methods of detecting environmental issues have proven inefficient. Machine learning has emerged as a promising tool for tracking…

Machine Learning · Computer Science 2024-05-29 Anirudh Mazumder , Sarthak Engala , Aditya Nallaparaju

Sub-seasonal climate forecasting (SSF) focuses on predicting key climate variables such as temperature and precipitation in the 2-week to 2-month time scales. Skillful SSF would have immense societal value, in areas such as agricultural…

Machine Learning · Computer Science 2020-06-25 Sijie He , Xinyan Li , Timothy DelSole , Pradeep Ravikumar , Arindam Banerjee

We address the question of parameterizing the subgrid scales in simulations of geophysical flows by applying stochastic mode reduction to the one-dimensional stochastically forced shallow water equations. The problem is formulated in…

Fluid Dynamics · Physics 2018-08-17 Matthias Zacharuk , Stamen I. Dolaptchiev , Ulrich Achatz , Ilya Timofeyev

Structural learning, a method to estimate the parameters for discrete energy minimization, has been proven to be effective in solving computer vision problems, especially in 3D scene parsing. As the complexity of the models increases,…

Computer Vision and Pattern Recognition · Computer Science 2017-01-13 Mengtian Li , Daniel Huber

To make weather/climate modeling computationally affordable, small-scale processes are usually represented in terms of the large-scale, explicitly-resolved processes using physics-based or semi-empirical parameterization schemes. Another…

Atmospheric and Oceanic Physics · Physics 2020-11-05 Ashesh Chattopadhyay , Adam Subel , Pedram Hassanzadeh

Clouds play a key role in regulating climate change but are difficult to simulate within Earth system models (ESMs). Improving the representation of clouds is one of the key tasks towards more robust climate change projections. This study…

Atmospheric and Oceanic Physics · Physics 2024-10-28 A. Kaps , A. Lauer , G. Camps-Valls , P. Gentine , L. Gómez-Chova , V. Eyring

Stochastic processes offer a flexible mathematical formalism to model and reason about systems. Most analysis tools, however, start from the premises that models are fully specified, so that any parameters controlling the system's dynamics…

Systems and Control · Computer Science 2017-01-11 Luca Bortolussi , Guido Sanguinetti

Uncertainty quantification is vital for decision-making and risk assessment in machine learning. Mean-variance regression models, which predict both a mean and residual noise for each data point, provide a simple approach to uncertainty…

Machine Learning · Statistics 2025-12-01 Eliot Wong-Toi , Alex Boyd , Vincent Fortuin , Stephan Mandt
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