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Climate projections continue to be marred by large uncertainties, which originate in processes that need to be parameterized, such as clouds, convection, and ecosystems. But rapid progress is now within reach. New computational tools and…

Machine Learning · Statistics 2018-02-14 Tapio Schneider , Shiwei Lan , Andrew Stuart , João Teixeira

This study used a multigrid-based convolutional neural network architecture known as MgNet in operator learning to solve numerical partial differential equations (PDEs). Given the property of smoothing iterations in multigrid methods where…

Machine Learning · Computer Science 2023-02-03 Jianqing Zhu , Juncai He , Qiumei Huang

Foundation models (FMs) for the Earth system learn statistical relationships between physical variables across massive datasets to enable versatile downstream applications through finetuning, separating them from task-specific weather…

Deep neural state-space models (SSMs) provide a powerful tool for modeling dynamical systems solely using operational data. Typically, neural SSMs are trained using data collected from the actual system under consideration, despite the…

Machine Learning · Computer Science 2022-11-16 Ankush Chakrabarty , Gordon Wichern , Christopher R. Laughman

This work presents a systematic framework for improving the predictions of statistical quantities for turbulent systems, with a focus on correcting climate simulations obtained by coarse-scale models. While high resolution simulations or…

Atmospheric and Oceanic Physics · Physics 2023-04-06 Alexis-Tzianni Charalampopoulos , Shixuan Zhang , Bryce Harrop , Lai-yung Ruby Leung , Themistoklis Sapsis

Machine learning (ML) is increasingly applied to optimize system performance in tasks such as resource management and network simulation. Unlike traditional ML tasks (e.g., image classification), networked systems often operate in…

Machine Learning · Computer Science 2026-05-15 Daiyang Yu , Xinyu Chen , Yihan Zhang , Yan Liang , Yaqi Qiao , Fan Lai

Cloud-related parameterizations remain a leading source of uncertainty in climate projections. Although machine learning holds promise for Earth system models (ESMs), many data-driven parameterizations lack interpretability, physical…

Atmospheric and Oceanic Physics · Physics 2025-11-25 Arthur Grundner , Tom Beucler , Julien Savre , Axel Lauer , Manuel Schlund , Veronika Eyring

Previous research has demonstrated that specific states of the climate system can lead to enhanced subseasonal predictability (i.e., state-dependent predictability). However, biases in Earth system models can affect the representation of…

Atmospheric and Oceanic Physics · Physics 2024-09-18 Kirsten J. Mayer , Katherine Dagon , Maria J. Molina

Deep Operator Networks (DeepONets) are among the most prominent frameworks for operator learning, grounded in the universal approximation theorem for operators. However, training DeepONets typically requires significant computational…

Machine Learning · Computer Science 2025-01-17 Hwijae Son

Large computer models are ubiquitous in the earth sciences. These models often have tens or hundreds of tuneable parameters and can take thousands of core-hours to run to completion while generating terabytes of output. It is becoming…

Atmospheric and Oceanic Physics · Physics 2022-03-21 Duncan Watson-Parris , Andrew Williams , Lucia Deaconu , Philip Stier

Electrical Impedance Tomography (EIT) is a non-invasive medical imaging method that reconstructs electrical conductivity mediums from boundary voltage-current measurements, but its severe ill-posedness renders direct operator learning with…

Numerical Analysis · Mathematics 2026-01-14 Amit Bhat , Ke Chen , Chunmei Wang

Forecasting complex system dynamics, particularly for long-term predictions, is persistently hindered by error accumulation and computational burdens. This study presents RefreshNet, a multiscale framework developed to overcome these…

Machine Learning · Computer Science 2024-01-25 Junaid Farooq , Danish Rafiq , Pantelis R. Vlachas , Mohammad Abid Bazaz

Uncertainty estimation in machine learning is paramount for enhancing the reliability and interpretability of predictive models, especially in high-stakes real-world scenarios. Despite the availability of numerous methods, they often pose a…

Computer Vision and Pattern Recognition · Computer Science 2023-08-16 Anton Baumann , Thomas Roßberg , Michael Schmitt

Precise magnetic field modeling is fundamental to the closed-loop control of electromagnetic navigation systems (eMNS) and the analytical Multipole Expansion Model (MPEM) is the current standard. However, the MPEM relies on strict physical…

Systems and Control · Electrical Eng. & Systems 2026-02-09 Antonio Bernardes , Jasan Zughaibi , Michael Muehlebach , Bradley J. Nelson

Climate change is one of the most critical challenges that our planet is facing today. Rising global temperatures are already bringing noticeable changes to Earth's weather and climate patterns with an increased frequency of unpredictable…

Atmospheric and Oceanic Physics · Physics 2024-01-19 Karandeep Singh , Chaeyoon Jeong , Naufal Shidqi , Sungwon Park , Arjun Nellikkattil , Elke Zeller , Meeyoung Cha

End-to-end learning has become a widely applicable and studied problem in training predictive ML models to be aware of their impact on downstream decision-making tasks. These end-to-end models often outperform traditional methods that…

Machine Learning · Computer Science 2025-05-19 Rares Cristian , Pavithra Harsha , Georgia Perakis , Brian Quanz

The immense computational cost of traditional numerical weather and climate models has sparked the development of machine learning (ML) based emulators. Because ML methods benefit from long records of training data, it is common to use…

Machine Learning · Computer Science 2023-09-25 Timothy A. Smith , Stephen G. Penny , Jason A. Platt , Tse-Chun Chen

We propose a hybrid meta-learning framework for forecasting and anomaly detection in nonlinear dynamical systems characterized by nonstationary and stochastic behavior. The approach integrates a physics-inspired simulator that captures…

Machine Learning · Computer Science 2025-06-18 Abdullah Burkan Bereketoglu

Toward the goal of using Scientific Machine Learning (SciML) emulators to improve the numerical representation of aerosol processes in global atmospheric models, we explore the emulation of aerosol microphysics processes under cloud-free…

Atmospheric and Oceanic Physics · Physics 2026-04-24 Shady E. Ahmed , Hui Wan , Saad Qadeer , Panos Stinis , Kezhen Chong , Mohammad Taufiq Hassan Mozumder , Kai Zhang , Ann S. Almgren

This paper introduces a new approach for fine-tuning the predictions of structured state space models (SSMs) at inference time using real-time recurrent learning. While SSMs are known for their efficiency and long-range modeling…

Computational Engineering, Finance, and Science · Computer Science 2026-02-16 Julian Lemmel , Manuel Kranzl , Adam Lamine , Philipp Neubauer , Radu Grosu , Sophie Neubauer