References#
An annotated bibliography will grow here as chapters are written. Entries live in tutorial/references.bib; cite them from any chapter with {cite}`key`.
Atılım Güneş Baydin, Barak A. Pearlmutter, Alexey Andreyevich Radul, and Jeffrey Mark Siskind. Automatic differentiation in machine learning: a survey. Journal of Machine Learning Research, 18(153):1–43, 2018.
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Ronald M. Errico. What is an adjoint model? Bulletin of the American Meteorological Society, 78(11):2577–2591, 1997.
Hugo Frezat, Julien Le Sommer, Ronan Fablet, Guillaume Balarac, and Redouane Lguensat. A posteriori learning for quasi-geostrophic turbulence parametrization. Journal of Advances in Modeling Earth Systems, 14(11):e2022MS003124, 2022.
Maximilian Gelbrecht, Alistair White, Sebastian Bathiany, and Niklas Boers. Differentiable programming for Earth system modeling. Geoscientific Model Development, 16:3123–3135, 2023.
Andreas Griewank and Andrea Walther. Evaluating Derivatives: Principles and Techniques of Algorithmic Differentiation. SIAM, 2nd edition, 2008.
Patrick Kidger. On neural differential equations. 2022. arXiv:2202.02435 (DPhil thesis, University of Oxford).
Dmitrii Kochkov, Jamie A. Smith, Ayya Alieva, Qing Wang, Michael P. Brenner, and Stephan Hoyer. Machine learning–accelerated computational fluid dynamics. Proceedings of the National Academy of Sciences, 118(21):e2101784118, 2021.
Dmitrii Kochkov, Janni Yuval, Ian Langmore, and others. Neural general circulation models for weather and climate. Nature, 632:1060–1066, 2024.
Edward N. Lorenz. Predictability: a problem partly solved. In Proceedings of the ECMWF Seminar on Predictability, volume 1, 1–18. 1996.
Luke Metz, C. Daniel Freeman, Samuel S. Schoenholz, and Tal Kachman. Gradients are not all you need. 2021. arXiv:2111.05803.
William D. Sellers. A global climatic model based on the energy balance of the Earth-atmosphere system. Journal of Applied Meteorology, 8(3):392–400, 1969.
Chaopeng Shen, Alison P. Appling, Pierre Gentine, and others. Differentiable modelling to unify machine learning and physical models for geosciences. Nature Reviews Earth & Environment, 4:552–567, 2023.
Olivier Talagrand and Philippe Courtier. Variational assimilation of meteorological observations with the adjoint vorticity equation. I: theory. Quarterly Journal of the Royal Meteorological Society, 113(478):1311–1328, 1987.
Qiqi Wang, Rui Hu, and Patrick Blonigan. Least squares shadowing sensitivity analysis of chaotic limit cycle oscillations. Journal of Computational Physics, 267:210–224, 2014.