Derivative hierarchy as the origin of kernel-dependent trends in Gaussian process reconstructions of the hubble parameter

arXiv:2608.26774 · astro-ph.CO · Submitted 2026-08-27 · Read on arXiv

astro-ph.CO

Submitted: 2026-08-27

Updated: 2026-08-27

Terminology

• Gaussian Process — 21× in this paper
• Squared Exponential — 18× in this paper
• Robustness — 4× in this paper · explained in 5 episodes
• Clustering — 3× in this paper · explained in 2 episodes
• Hubble Tension — 3× in this paper · explained in 9 episodes
• Degeneracy — 2× in this paper · explained in 3 episodes
• Population Synthesis — 2× in this paper · explained in 2 episodes
• Anti-correlation — 1× in this paper · explained in 3 episodes
• Bayesian Framework — 1× in this paper · explained in 3 episodes
• Calibration — 1× in this paper · explained in 7 episodes
• Consistency — 1× in this paper · explained in 3 episodes
• Fidelity — 1× in this paper · explained in 2 episodes
• Gaussian Processes (GPs) — 1× in this paper · explained in 2 episodes
• alpha — 1× in this paper · explained in 1 episode

Sources

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• The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: cosmological analysis of the DR12 galaxy sample
• Baryon acoustic oscillations from the complete SDSS-III Ly$\alpha$-quasar cross-correlation function at $z=2.4$
• DESI 2024 VI: Cosmological Constraints from the Measurements of Baryon Acoustic Oscillations
• DESI 2024 III: Baryon Acoustic Oscillations from Galaxies and Quasars
• DESI 2024 IV: Baryon Acoustic Oscillations from the Lyman Alpha Forest
• DESI 2024: Reconstructing Dark Energy using Crossing Statistics with DESI DR1 BAO data
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• Cosmic Chronometers: Constraining the Equation of State of Dark Energy. I: H(z) Measurements
• Improved constraints on the expansion rate of the Universe up to z~1.1 from the spectroscopic evolution of cosmic chronometers
• Nonparametric Dark Energy Reconstruction from Supernova Data
• Nonparametric Reconstruction of the Dark Energy Equation of State
• Nonparametric Reconstruction of the Dark Energy Equation of State from Diverse Data Sets
• The Value of $H_0$ from Gaussian Processes
• Evidence for a Lower Value for $H_0$ from Cosmic Chronometers Data?

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