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1
Introduction
2
Modeling a fluid dynamical system
3
Outline
4
Datadriven ML models
5
Dynamics models
6
Predicting chaotic dynamical systems
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High resolution forecasting
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Results
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Why Machine Learning
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Dataassisted forecasting
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Hybrid model
12
Computational cost
13
Machine learning
14
Fluid modeling vs image processing
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Hybrid architecture
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High resolution trajectory
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Initial prototype
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High resolution spectrum
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RMS error curves
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Visual results
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Hybrid numerical weather prediction
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Preprint
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Conclusion
24
Questions
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Technical questions
26
Real data assimilation
27
MLPD Hybrid
28
Amount of data
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Multitime step optimization
Description:
Explore data-driven and data-assisted modeling techniques for fluid dynamics and geophysics applications in this conference talk from the Machine Learning for Climate KITP conference. Dive into the challenges of predicting chaotic dynamical systems and high-resolution forecasting. Examine the benefits of machine learning in fluid modeling and discover hybrid architectures that combine traditional numerical methods with data-driven approaches. Learn about computational costs, initial prototypes, and real-world applications in numerical weather prediction. Gain insights into multi-time step optimization and data assimilation techniques. Engage with technical questions and discussions on the potential of these innovative modeling approaches for advancing climate science and Earth system understanding.

Data-Driven and Data-Assisted Modeling for Applications in Fluid Dynamics and Geophysics

Kavli Institute for Theoretical Physics
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