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Neural ODEs (NODEs) have emerged as powerful tools for modeling time series data, offering the flexibility to adapt to varying input scales and capture complex dynamics. However, they face significant challenges: first, their reliance on…

Machine Learning · Computer Science 2025-10-07 Muhao Guo , Yang Weng

This paper presents a survey of ocean simulation and rendering methods in computer graphics. To model and animate the ocean's surface, these methods mainly rely on two main approaches: on the one hand, those which approximate ocean dynamics…

The current explosion in machine learning for climate has led to skilled, computationally cheap emulators for the atmosphere. However, the research for ocean emulators remains nascent despite the large potential for accelerating coupled…

Atmospheric and Oceanic Physics · Physics 2024-03-08 Adam Subel , Laure Zanna

Atmospheric models used for weather and climate prediction are traditionally formulated in a deterministic manner. In other words, given a particular state of the resolved scale variables, the most likely forcing from the sub-grid scale…

Machine Learning · Computer Science 2024-02-16 Hannah M. Christensen , Salah Kouhen , Greta Miller , Raghul Parthipan

We explore the potential of feed-forward deep neural networks (DNNs) for emulating cloud superparameterization in realistic geography, using offline fits to data from the Super Parameterized Community Atmospheric Model. To identify the…

Atmospheric and Oceanic Physics · Physics 2021-06-09 Griffin Mooers , Mike Pritchard , Tom Beucler , Jordan Ott , Galen Yacalis , Pierre Baldi , Pierre Gentine

Ensemble weather predictions require statistical post-processing of systematic errors to obtain reliable and accurate probabilistic forecasts. Traditionally, this is accomplished with distributional regression models in which the parameters…

Machine Learning · Statistics 2019-04-01 Stephan Rasp , Sebastian Lerch

This paper focuses on the identification of dynamical systems with tailor-made model structures, where neural networks are used to approximate uncertain components and domain knowledge is retained, if available. These model structures are…

Machine Learning · Computer Science 2021-10-29 Marco Forgione , Dario Piga

Ionic models, described by systems of stiff ordinary differential equations, are fundamental tools for simulating the complex dynamics of excitable cells in both Computational Neuroscience and Cardiology. Approximating these models using…

Machine Learning · Computer Science 2025-05-21 Luca Pellegrini , Massimiliano Ghiotto , Edoardo Centofanti , Luca Franco Pavarino

Partial differential equations (PDEs) govern a wide variety of dynamical processes in science and engineering, yet obtaining their numerical solutions often requires high-resolution discretizations and repeated evaluations of complex…

Machine Learning · Computer Science 2026-01-26 Valentin Duruisseaux , Jean Kossaifi , Anima Anandkumar

Fourier neural operators (FNOs) are a recently introduced neural network architecture for learning solution operators of partial differential equations (PDEs), which have been shown to perform significantly better than comparable deep…

A new framework is proposed for the evaluation of stochastic subgrid-scale parameterizations in the context of MAOOAM, a coupled ocean-atmosphere model of intermediate complexity. Two physically-based parameterizations are investigated, the…

Atmospheric and Oceanic Physics · Physics 2018-09-26 Jonathan Demaeyer , Stéphane Vannitsem

Despite the enormous success of artificial neural networks (ANNs) in many disciplines, the characterization of their computations and the origin of key properties such as generalization and robustness remain open questions. Recent…

Computer Vision and Pattern Recognition · Computer Science 2022-03-18 Nikos Karantzas , Emma Besier , Josue Ortega Caro , Xaq Pitkow , Andreas S. Tolias , Ankit B. Patel , Fabio Anselmi

We propose the use of physics-informed neural networks for solving the shallow-water equations on the sphere in the meteorological context. Physics-informed neural networks are trained to satisfy the differential equations along with the…

Computational Physics · Physics 2024-09-19 Alex Bihlo , Roman O. Popovych

Developing surrogate geophysical models from data is a key research topic in atmospheric and oceanic modeling because of the large computational costs associated with numerical simulation methods. Researchers have started applying a wide…

Computational Physics · Physics 2020-08-14 Romit Maulik , Romain Egele , Bethany Lusch , Prasanna Balaprakash

The use of machine learning to build subgrid parametrizations for climate models is receiving growing attention. State-of-the-art strategies address the problem as a supervised learning task and optimize algorithms that predict subgrid…

Fluid Dynamics · Physics 2022-11-29 Hugo Frezat , Julien Le Sommer , Ronan Fablet , Guillaume Balarac , Redouane Lguensat

Accurately estimating the refractive environment over multiple frequencies within the marine atmospheric boundary layer is crucial for the effective deployment of radar technologies. Traditional parabolic equation simulations, while…

Machine Learning · Computer Science 2025-09-08 Sarah E. Wessinger , Leslie N. Smith , Jacob Gull , Jonathan Gehman , Zachary Beever , Andrew J. Kammerer

The recent development of Neural Operator (NeurOp) learning for solutions to the elastic wave equation shows promising results and provides the basis for fast large-scale simulations for different seismological applications. In this paper,…

Optimal Interpolation (OI) is a widely used, highly trusted algorithm for interpolation and reconstruction problems in geosciences. With the influx of more satellite missions, we have access to more and more observations and it is becoming…

Atmospheric and Oceanic Physics · Physics 2022-11-22 J. Emmanuel Johnson , Redouane Lguensat , Ronan Fablet , Emmanuel Cosme , Julien Le Sommer

Mesoscale eddies are of utmost importance in understanding ocean dynamics and the transport of heat, salt, and nutrients. Accurate representation of these eddies in ocean models is essential for improving model predictions. However,…

Fluid Dynamics · Physics 2024-06-07 Guosong Wang , Min Hou , Xinrong Wu , Xidong Wang , Zhigang Gao , Hongli Fu , Bo Dan , Chunjian Sun , Xiaoshuang Zhang

Solving cell problems in homogenization is hard, and available deep-learning frameworks fail to match the speed and generality of traditional computational frameworks. More to the point, it is generally unclear what to expect of…

Computational Engineering, Finance, and Science · Computer Science 2025-11-07 Binh Huy Nguyen , Matti Schneider