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Sid-Ahmed Boukabara
,
Vladimir Krasnopolsky
,
Stephen G. Penny
,
Jebb Q. Stewart
,
Amy McGovern
,
David Hall
,
John E. Ten Hoeve
,
Jason Hickey
,
Hung-Lung Allen Huang
,
John K. Williams
,
Kayo Ide
,
Philippe Tissot
,
Sue Ellen Haupt
,
Kenneth S. Casey
,
Nikunj Oza
,
Alan J. Geer
,
Eric S. Maddy
, and
Ross N. Hoffman

sensitivity of the cost function to the network weights or state space variables, respectively. Table 2. Comparison between typical machine learning (e.g., a deep neural network in TensorFlow) and data assimilation, which underpins most global weather forecasting. To highlight the similarities, NN concepts have been written in a linear algebra style close to typical DA notation. Superscript T denotes the transpose operator, bold lowercase letters are vectors and bold uppercase letters are matrices

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