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08/25/2023
AtmoRep: A stochastic model of atmosphere dynamics using large scale representation learning
The atmosphere affects humans in a multitude of ways, from loss of life ...
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07/27/2023
DNN-MG: A Hybrid Neural Network/Finite Element Method with Applications to 3D Simulations of the Navier-Stokes Equations
We extend and analyze the deep neural network multigrid solver (DNN-MG) ...
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10/21/2022
A Multi-Scale Deep Learning Framework for Projecting Weather Extremes
Weather extremes are a major societal and economic hazard, claiming thou...
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02/02/2022
AtmoDist: Self-supervised Representation Learning for Atmospheric Dynamics
Representation learning has proven to be a powerful methodology in a wid...
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12/27/2021
Variational symplectic diagonally implicit Runge-Kutta methods for isospectral systems
Isospectral flows appear in a variety of applications, e.g. the Toda lat...
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09/19/2021
Towards Representation Learning for Atmospheric Dynamics
The prediction of future climate scenarios under anthropogenic forcing i...
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06/14/2021
Deep neural networks for geometric multigrid methods
We investigate scaling and efficiency of the deep neural network multigr...
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12/09/2020
Structure Preservation for the Deep Neural Network Multigrid Solver
The simulation of partial differential equations is a central subject of...
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08/26/2020
A neural network multigrid solver for the Navier-Stokes equations
We present a deep neural network multigrid solver (DNN-MG) that we devel...
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05/07/2020
A Local Spectral Exterior Calculus for the Sphere and Application to the Shallow Water Equations
We introduce Ψec, a local spectral exterior calculus for the two-sphere ...
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02/16/2019
Local Fourier Slice Photography
Light field cameras provide intriguing possibilities, such as post-captu...
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11/29/2018
Ψec: A Local Spectral Exterior Calculus
We introduce Ψec, a local spectral exterior calculus that provides a dis...
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06/25/2018
A Local Fourier Slice Theorem
We present a local Fourier slice equation that enables local and sparse ...
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05/05/2018
Divergence Free Polar Wavelets for the Analysis and Representation of Fluid Flows
We present a Parseval tight wavelet frame for the representation and ana...
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05/05/2018
Divergence Free Polar Wavelets
We present a Parseval tight wavelet frame for the representation of dive...
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05/05/2018