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One of the most surprising and exciting discoveries in supervised learning was the benefit of overparameterization (i.e. training a very large model) to improving the optimization landscape of a problem, with minimal effect on statistical…

Machine Learning · Statistics 2020-07-17 Rares-Darius Buhai , Yoni Halpern , Yoon Kim , Andrej Risteski , David Sontag

We investigate the application of artificial neural networks to stabilize proper orthogonal decomposition based reduced order models for quasi-stationary geophysical turbulent flows. An extreme learning machine concept is introduced for…

Fluid Dynamics · Physics 2018-05-09 Omer San , Romit Maulik

Accurate prediction of global sea surface temperature at sub-seasonal to seasonal (S2S) timescale is critical for drought and flood forecasting, as well as for improving disaster preparedness in human society. Government departments or…

Atmospheric and Oceanic Physics · Physics 2024-09-10 Longhao Wang , Xuanze Zhang , L. Ruby Leung , Francis H. S. Chiew , Amir AghaKouchak , Kairan Ying , Yongqiang Zhang

Atmosphere and ocean are coupled via air-sea interactions. The atmospheric conditions fuel the ocean circulation and its variability, but the extent to which ocean processes can affect the atmosphere at decadal time scales remains unclear.…

Atmospheric and Oceanic Physics · Physics 2021-07-08 Navid C. Constantinou , Andrew McC. Hogg

Traditionally, numerical models have been deployed in oceanography studies to simulate ocean dynamics by representing physical equations. However, many factors pertaining to ocean dynamics seem to be ill-defined. We argue that transferring…

Machine Learning · Computer Science 2023-05-03 Yuxin Meng , Feng Gao , Eric Rigall , Ran Dong , Junyu Dong , Qian Du

Many successful deep learning architectures are equivariant to certain transformations in order to conserve parameters and improve generalization: most famously, convolution layers are equivariant to shifts of the input. This approach only…

Machine Learning · Computer Science 2021-03-31 Allan Zhou , Tom Knowles , Chelsea Finn

The objective of this paper is to design novel multi-layer neural network architectures for multiscale simulations of flows taking into account the observed data and physical modeling concepts. Our approaches use deep learning concepts…

Numerical Analysis · Mathematics 2018-06-14 Yating Wang , Siu Wun Cheung , Eric T. Chung , Yalchin Efendiev , Min Wang

Wave breaking injects turbulence and bubbles into the upper ocean, modulating air-sea exchange of momentum, heat, gases, and sea-spray aerosols. These fluxes depend nonlinearly on sea state but remain poorly represented in coupled…

Atmospheric and Oceanic Physics · Physics 2026-02-05 Xiaohui Zhou , Anton S. Darmenov , Kianoosh Yousefi

We develop a data-driven machine learning approach to identifying parameters with steady-state solutions, locating such solutions, and determining their linear stability for systems of ordinary differential equations and dynamical systems…

Numerical Analysis · Mathematics 2025-03-11 Yimeng Zhang , Alexander Cloninger , Bo Li , Xiaochuan Tian

Clouds classification is a great challenge in meteorological research. The different types of clouds, currently known and present in our skies, can produce radioactive effects that impact on the variation of atmospheric conditions, with the…

Image and Video Processing · Electrical Eng. & Systems 2021-03-09 Mario Manzo , Simone Pellino

Accurate and efficient climate simulations are crucial for understanding Earth's evolving climate. However, current general circulation models (GCMs) face challenges in capturing unresolved physical processes, such as cloud and convection.…

Atmospheric and Oceanic Physics · Physics 2026-01-27 Xin Wang , Jianda Chen , Juntao Yang , Jeff Adie , Simon See , Kalli Furtado , Chen Chen , Troy Arcomano , Romit Maulik , Wei Xue , Gianmarco Mengaldo

The prediction of future climate scenarios under anthropogenic forcing is critical to understand climate change and to assess the impact of potentially counter-acting technologies. Machine learning and hybrid techniques for this prediction…

Machine Learning · Computer Science 2021-12-02 Sebastian Hoffmann , Christian Lessig

Projecting climate change is a generalization problem: we extrapolate the recent past using physical models across past, present, and future climates. Current climate models require representations of processes that occur at scales smaller…

Modeling geophysical processes as low-dimensional dynamical systems and regressing their vector field from data is a promising approach for learning emulators of such systems. We show that when the kernel of these emulators is also learned…

Atmospheric and Oceanic Physics · Physics 2021-08-11 Boumediene Hamzi , Romit Maulik , Houman Owhadi

The evaluation of Deep Learning models has traditionally focused on criteria such as accuracy, F1 score, and related measures. The increasing availability of high computational power environments allows the creation of deeper and more…

Machine Learning · Computer Science 2023-02-03 Yinlena Xu , Silverio Martínez-Fernández , Matias Martinez , Xavier Franch

Machine learning for scientific applications faces the challenge of limited data. We propose a framework that leverages a priori known physics to reduce overfitting when training on relatively small datasets. A deep neural network is…

Machine Learning · Computer Science 2019-11-22 Jonathan B. Freund , Jonathan F. MacArt , Justin Sirignano

We explore the use of deep neural networks for nonlinear dimensionality reduction in climate applications. We train convolutional autoencoders (CAEs) to encode two temperature field datasets from pre-industrial control runs in the CMIP5…

Atmospheric and Oceanic Physics · Physics 2018-09-06 J. A. Saenz , N. Lubbers , N. M. Urban

Large-scale or high-resolution geologic models usually comprise a huge number of grid blocks, which can be computationally demanding and time-consuming to solve with numerical simulators. Therefore, it is advantageous to upscale geologic…

Machine Learning · Computer Science 2022-01-04 Nanzhe Wang , Qinzhuo Liao , Haibin Chang , Dongxiao Zhang

Machine learning for the parameterization of subgrid-scale processes in climate models has been widely researched and adopted in a few models. A key challenge in developing data-driven parameterization schemes is how to properly represent…

Atmospheric and Oceanic Physics · Physics 2024-02-29 L. Minah Yang , Edwin P. Gerber

Accurate modeling of physical systems governed by partial differential equations is a central challenge in scientific computing. In oceanography, high-resolution current data are critical for coastal management, environmental monitoring,…

Machine Learning · Computer Science 2025-10-21 Abdessamad El-Kabid , Loubna Benabbou , Redouane Lguensat , Alex Hernández-García