Reconstructs Type Ia supernova absolute magnitude MB(z) from joint BAO and SN data using two PINN variants, recovering MB ≈ -19.3 mag with no significant evolution but a model-independent 2-3σ residual at z ~ 0.4-0.5.
The variance NLL per point is ℓvar(ri, si) = 1 2 " r2 i σ2 obs,i(1 +e si) + log(1 +e si) # ,(14) wherer i is the residual
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Reconstructing the Type Ia Supernova Absolute Magnitude with Two-Probe Physics-Informed Neural Networks
Reconstructs Type Ia supernova absolute magnitude MB(z) from joint BAO and SN data using two PINN variants, recovering MB ≈ -19.3 mag with no significant evolution but a model-independent 2-3σ residual at z ~ 0.4-0.5.