REVIEW 5 cited by
How to use GP: Effects of the mean function and hyperparameter selection on Gaussian Process regression
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
Signed reviews
read the original abstract
Gaussian processes have been widely used in cosmology to reconstruct cosmological quantities in a model-independent way. However, the validity of the adopted mean function and hyperparameters, and the dependence of the results on the choice have not been well explored. In this paper, we study the effects of the underlying mean function and the hyperparameter selection on the reconstruction of the distance moduli from type Ia supernovae. We show that the choice of an arbitrary mean function affects the reconstruction: a zero mean function leads to unphysical distance moduli and the best-fit LCDM to biased reconstructions. We propose to marginalize over a family of mean functions and over the hyperparameters to effectively remove their impact on the reconstructions. We further explore the validity and consistency of the results considering different kernel functions and show that our method is unbiased.
Forward citations
Cited by 5 Pith papers
-
Hubble tension: the shape wall
Late-time modifications to the expansion history can raise H0 by at most about 2% (conservative) to 3.7% (permissive) if the CMB acoustic scale is fixed.
-
Breaking the Dark Sector Degeneracy with Nonparametric Expansion--Growth Reconstruction
Joint nonparametric expansion–growth reconstruction finds no significant dark-sector interaction or dark-energy dynamics, remaining consistent with ΛCDM over 0≲z≲2.
-
Reconstructing the redshift evolution of Type Ia supernovae absolute magnitude
A Gaussian Process reconstruction finds the Type Ia supernova absolute magnitude is consistent with a constant value, with a redshift-averaged M = -19.456 ± 0.059 that is 3.2 sigma below the SH0ES local calibration.
-
Probing the Cosmic Distance Duality Relation via Non-Parametric Reconstruction for High Redshifts
A Gaussian process reconstruction of the cosmic distance duality parameter eta(z) from BAO, galaxy clusters, supernovae, and quasars finds consistency with eta=1 at the 2-sigma level out to z about 2.33.
-
Is $\omega_0 \omega_a$CDM a good model for the clumpy Universe?
Against a Gaussian-process reconstruction of 15 sigma8(z) measurements, the DESI w0waCDM model fits slightly better than LambdaCDM, but the difference is tiny and the comparison metric is biased.
Discussion (0). Continue with ORCID to comment.