I was honored today by being invited to a meeting of the group at Cambridge (UK) that extracts and calibrates the low-resolution ESA Gaia XP spectra. The model is bilinear: Each source is represented as a linear sum of basis functions, and each observation of each source has an expectation which is that linear sum multiplied by a convolution kernel, which is also represented as a sum of components. These components are smooth functions of position in the device and wavelength. It's a very nice system! I went through it all with them and said what I would have done differently (which is not much, I have to admit).
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