How do you generally go about finding the Jacobian of a complicated observation function for a Kalman filter?

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  • diff-zoo

    Differentiation for Hackers

  • To add to software for #1, look for packages that do forward-mode AD. For Jacobians (many outputs), forward-mode AD is often faster than back-propagation (reverse mode). I use ForwardDiff.jl which usually accepts any function the user might bass in as observation function https://github.com/baggepinnen/LowLevelParticleFilters.jl/blob/master/src/ekf.jl#L45 Here's a nice intro to forward and reverse mode ad https://github.com/MikeInnes/diff-zoo/blob/notebooks/backandforth.ipynb It's the second notebook in a series, might want to read the first as well if you find this topic interesting.

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    Power Real-Time Data Analytics at Scale. Get real-time insights from all types of time series data with InfluxDB. Ingest, query, and analyze billions of data points in real-time with unbounded cardinality.

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