Integrating Recurrent Neural Networks with Data Assimilation for Scalable Data-Driven State Estimation
Stephen G. Penny, Timothy A. Smith, Tse-Chun Chen, Jason A. Platt,, Hsin-Yi Lin, Michael Goodliff, Henry D.I. Abarbanel

TL;DR
This paper presents a novel approach combining recurrent neural networks with data assimilation techniques to enable scalable, data-driven online state estimation in numerical weather prediction without relying on traditional models.
Contribution
It introduces a method to replace traditional forecast models with RNNs in data assimilation, enabling scalable, model-free state estimation for weather prediction.
Findings
RNNs can be initialized using DA methods for effective state estimation.
The integrated RNN-DA approach works in high-dimensional systems with localization and parallelization.
The method allows for short-term forecasts without traditional numerical models.
Abstract
Data assimilation (DA) is integrated with machine learning in order to perform entirely data-driven online state estimation. To achieve this, recurrent neural networks (RNNs) are implemented as surrogate models to replace key components of the DA cycle in numerical weather prediction (NWP), including the conventional numerical forecast model, the forecast error covariance matrix, and the tangent linear and adjoint models. It is shown how these RNNs can be initialized using DA methods to directly update the hidden/reservoir state with observations of the target system. The results indicate that these techniques can be applied to estimate the state of a system for the repeated initialization of short-term forecasts, even in the absence of a traditional numerical forecast model. Further, it is demonstrated how these integrated RNN-DA methods can scale to higher dimensions by applying…
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