Performance of Non-Parametric Reconstruction Techniques in the Late-Time Universe

Abstract

In the context of a Hubble tension problem that is growing in its statistical significance, we reconsider the effectiveness of non-parametric reconstruction techniques which are independent of prescriptive cosmological models. By taking cosmic chronometers, Type Ia Supernovae and baryonic acoustic oscillation data, we compare and contrast two important reconstruction approaches, namely Gaussian processes (GP) and the \textbf{Lo}cally w\textbf{e}ighted \textbf{S}catterplot \textbf{S}moothing together with \textbf{Sim}ulation and \textbf{ex}trapolation method (LOESS-Simex or LS). In the context of these methods, besides not requiring a cosmological model, they also do not require physical parameters in their approach to their reconstruction of data (but they do depend on statistical hyperparameters). We firstly show how both GP and LOESS-Simex can be used to successively reconstruct various data sets to a high level of precision. We then directly compare both approaches in a quantitative manner by considering several factors, such as how well the reconstructions approximate the data sets themselves to how their respective uncertainties evolve. In light of the puzzling Hubble tension, it is important to consider how the uncertain regions evolve over redshift and the methods compare for estimating cosmological parameters at current times. For cosmic chronometers and baryonic acoustic oscillation compiled data sets, we find that GP generically produce smaller variances for the reconstructed data with a minimum value of ${\sigma }_{\mathrm{GP}-\min }=1.1$, while the situation for LS is totally different with a minimum of ${\sigma }_{\mathrm{LS}-\min }=50.8$. Moreover, some of these characteristics can be alleviate at low $z$, where LS presents less underestimation in comparison to GP.

arXiv comment22 pages, 5 figures, 3 tables. Version accepted in JCAP

References in corpus (72)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• Dynamics of dark energy
• Modified Gravity and Cosmology
• Extended Theories of Gravity
• The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: cosmological analysis of the DR12 galaxy sample
• The Complete Light-curve Sample of Spectroscopically Confirmed Type Ia Supernovae from Pan-STARRS1 and Cosmological Constraints from The Combined Pantheon Sample
• A 2.4% Determination of the Local Value of the Hubble Constant
• In the Realm of the Hubble tension $-$ a Review of Solutions
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: Baryon Acoustic Oscillations in the Data Release 10 and 11 galaxy samples
• A 6% measurement of the Hubble parameter at $z\sim 0.45$: direct evidence of the epoch of cosmic re-acceleration
• H0LiCOW XIII. A 2.4% measurement of $H_0$ from lensed quasars: $5.3\sigma$ tension between early and late-Universe probes
• Cosmic Chronometers: Constraining the Equation of State of Dark Energy. I: H(z) Measurements
• Raising the bar: new constraints on the Hubble parameter with cosmic chronometers at z$\sim$2
• Improved constraints on the expansion rate of the Universe up to z~1.1 from the spectroscopic evolution of cosmic chronometers
• The WiggleZ Dark Energy Survey: Joint measurements of the expansion and growth history at z < 1
• Baryon Acoustic Oscillations in the Lyα forest of BOSS DR11 quasars
• The Carnegie-Chicago Hubble Program. VIII. An Independent Determination of the Hubble Constant Based on the Tip of the Red Giant Branch
• The trouble with $H_0$
• Clustering of Luminous Red Galaxies IV: Baryon Acoustic Peak in the Line-of-Sight Direction and a Direct Measurement of H(z)
• Quasar-Lyman $\alpha$ Forest Cross-Correlation from BOSS DR11 : Baryon Acoustic Oscillations
• Measurements of the Hubble Constant: Tensions in Perspective
• Cosmology Intertwined II: The Hubble Constant Tension
• Beyond $\Lambda$CDM: Problems, solutions, and the road ahead
• Cosmology Intertwined III: $f{\sigma }_8$ and $S_8$
• Reconstruction of dark energy and expansion dynamics using Gaussian processes
• Measurement of BAO correlations at $z=2.3$ with SDSS DR12 \lya-Forests
• Modeling the Anisotropic Two-Point Galaxy Correlation Function on Small Scales and Improved Measurements of H(z), D_A(z), and f(z)sigma_8(z) from the Sloan Digital Sky Survey DR7 Luminous Red Galaxies
• Parameterization of Dark-Energy Properties: a Principal-Component Approach
• Hubble Parameter and Baryon Acoustic Oscillation Measurement Constraints on the Hubble Constant, the Deviation from the Spatially-Flat $\Lambda$cdm Model, The Deceleration-Acceleration Transition Redshift, and Spatial Curvature
• Gaussian Process Cosmography
• $H_0$ from cosmic chronometers and Type Ia supernovae, with Gaussian Processes and the novel Weighted Polynomial Regression method
• Nonparametric Dark Energy Reconstruction from Supernova Data
• Simultaneous constraints on the growth of structure and cosmic expansion from the multipole power spectra of the SDSS DR7 LRG sample
• A Model-Independent Determination of the Expansion and Acceleration Rates of the Universe as a Function of Redshift and Constraints on Dark Energy
• The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: tomographic BAO analysis of DR12 combined sample in configuration space
• Running Hubble Tension and a H0 Diagnostic
• Can the $H_0$ tension be resolved in extensions to $\Lambda$CDM cosmology?
• The Cardassian expansion revisited: constraints from updated Hubble parameter measurements and Type Ia Supernovae data
• Model-independent reconstruction of $f(T)$ gravity from Gaussian Processes
• Null test of the cosmic curvature using $H(z)$ and supernovae data
• Reconstructing the interaction between dark energy and dark matter using Gaussian Processes
• Dipole of the luminosity distance: a direct measure of H(z)
• A model-independent determination of the Hubble constant from lensed quasars and supernovae using Gaussian process regression
• Evidence for a Lower Value for $H_0$ from Cosmic Chronometers Data?
• Cosmological parameter analyses using transversal BAO data
• Quantifying the $S_8$ tension with the Redshift Space Distortion data set
• Late time approaches to the Hubble tension deforming $H(z)$, worsen the growth tension
• Genetic Algorithms and Supernovae Type Ia Analysis
• Reconstruction of the Dark Energy equation of state
• Constraints on interacting dark energy models through cosmic chronometers and Gaussian process
• Constraining Teleparallel Gravity through Gaussian Processes
• Gaussian processes reconstruction of dark energy from observational data
• Gaussian processes reconstruction of modified gravitational wave propagation
• Improved constraints on the dark energy equation of state using Gaussian processes
• Improving gravitational-wave parameter estimation using Gaussian process regression
• Testing the effect of $H_0$ on $f{\sigma }_8$ tension using a Gaussian Process method
• Testing Dark energy models in the light of ${\sigma }_8$ tension
• Reconstructing teleparallel gravity with cosmic structure growth and expansion rate data
• Nonparametric reconstruction of the cosmic expansion with local regression smoothing and simulation extrapolation
• Towards a model-independent reconstruction approach for late-time Hubble data
• Constructing a cosmological model-independent Hubble diagram of type Ia supernovae with cosmic chronometers
• Transition Redshift: New constraints from parametric and nonparametric methods
• Reconstruction of the HII Galaxy Hubble Diagram using Gaussian Processes
• Probing the cosmic opacity from Future Gravitational Wave Standard Sirens
• Learning how to surf: Reconstructing the propagation and origin of gravitational waves with Gaussian Processes
• Model-Independent Reconstruction of the Expansion History of the Universe from Type Ia Supernovae
• Nonparametric reconstruction of the Om diagnostic to test LCDM
• A model-independent dark energy reconstruction scheme using the geometrical form of the luminosity-distance relation
• Improving data-driven model-independent reconstructions and updated constraints on dark energy models from Horndeski cosmology
• Galaxy rotation curves using a non-parametric regression method: core, cusp and fuzzy scalar field dark matter models
• Probing homogeneity with standard candles

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• Teleparallel Gravity: From Theory to Cosmology
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