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ABOUT.md

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@@ -56,7 +56,7 @@ as large, evolving software systems. In many modern applications—remote
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sensing retrieval chains, satellite calibration pipelines, high‑resolution
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climate data processing—the “measurement device” is not a static laboratory
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instrument with a simple response model, but a complex codebase that changes
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as algorithms, parameterisations, and dependencies are updated. The genuine
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as algorithms, parameterization, and dependencies are updated. The genuine
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forward map from inputs to outputs is whatever the current version of the
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code computes. Maintaining an analytical model and its hand‑derived Jacobians
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in sync with such a code is labour‑intensive and error‑prone, and often not

README.md

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@@ -19,7 +19,7 @@ objects rather than forcing the uncertainty calculus into a fixed set of
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closed‑form formulas.
2020

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The ideas presented here grew out of earlier project-specific implementations
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of AD-based uncertainty propagation for harmonised satellite calibration
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of AD-based uncertainty propagation for harmonized satellite calibration
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workflows underpinning fundamental climate data records.
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## Synopsis
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and atmosphere data reaching up to 5D. Applying standard matrix-based
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uncertainty propagation requires flattening these N-D arrays into 1D
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vectors, which obscures the vital spatiotemporal structure of both the
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data and the algorithms designed to analyze it. Tensors are the ideal
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data and the algorithms designed to analyse it. Tensors are the ideal
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solution, and the law of propagation of uncertainty, when formulated
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and coded in general tensor form, is elegantly beautiful. If you’re curious,
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compare [NIST TN 1297](https://www.nist.gov/pml/nist-technical-note-1297/nist-tn-1297-appendix-law-propagation-uncertainty) (Equation A-3)

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