Fig. H.1.

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Comparison of different SBI configurations in terms of Ωm, σ8, and S8. The 3D hist configuration outputs a normalized 3D histogram of temperature, flux, and redshift. The 2D+1D hist configuration provides a normalized 2D histogram of temperature and flux, along with a separate redshift histogram. The Fisher proposal configuration uses a non-uniform Fisher proposal for training, coming from a run on mock observations covering 1000 deg2. The Fisher x2 and Fisher x4 configurations apply non-uniform Fisher proposals for training, with factors of 2 and 4, respectively. The no temperature configuration only includes flux and redshift in its output. Finally, the 1000 deg2 configuration uses a mock observation covering 1000 deg2, whereas all other tests use a mock observation of 50 deg2
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