Nonparametric Reconstruction of the Dark Energy Equation of State

Abstract

A basic aim of ongoing and upcoming cosmological surveys is to unravel the mystery of dark energy. In the absence of a compelling theory to test, a natural approach is to better characterize the properties of dark energy in search of clues that can lead to a more fundamental understanding. One way to view this characterization is the improved determination of the redshift-dependence of the dark energy equation of state parameter, w(z). To do this requires a robust and bias-free method for reconstructing w(z) from data that does not rely on restrictive expansion schemes or assumed functional forms for w(z). We present a new nonparametric reconstruction method that solves for w(z) as a statistical inverse problem, based on a Gaussian Process representation. This method reliably captures nontrivial behavior of w(z) and provides controlled error bounds. We demonstrate the power of the method on different sets of simulated supernova data; the approach can be easily extended to include diverse cosmological probes.

16 pages, 11 figures, accepted for publication in Physical Review D

References in corpus (13)

• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Cosmology and the Fate of Dilatation Symmetry
• Dark Energy and the Accelerating Universe
• Spectra and Light Curves of Six Type Ia Supernovae at 0.511 < z < 1.12 and the Union2 Compilation
• Improved Dark Energy Constraints from ~100 New CfA Supernova Type Ia Light Curves
• Reconstructing Dark Energy
• Cosmic Calibration: Constraints from the Matter Power Spectrum and the Cosmic Microwave Background
• Cosmic Calibration
• New Approaches To Photometric Redshift Prediction Via Gaussian Process Regression In The Sloan Digital Sky Survey
• The Redshift Sensitivities of Dark Energy Surveys
• Gaussian Process Modelling of Asteroseismic Data
• Reconstructing the history of dark energy using maximum entropy
• Inference for the dark energy equation of state using Type IA supernova data

Cited by in corpus (65)

• Challenges for $\Lambda$CDM: An update
• Gaussian Process Cosmography
• Nonparametric Dark Energy Reconstruction from Supernova Data
• DESI 2024: Reconstructing Dark Energy using Crossing Statistics with DESI DR1 BAO data
• Precision cosmology with Padé rational approximations: theoretical predictions versus observational limits
• Reconstructing the interaction between dark energy and dark matter using Gaussian Processes
• Ultra-compact structure in intermediate-luminosity radio quasars: building a sample of standard cosmological rulers and improving the dark energy constraints up to $z\sim 3$
• Can dark energy be dynamical?
• How to use GP: Effects of the mean function and hyperparameter selection on Gaussian Process regression
• MGCAMB with massive neutrinos and dynamical dark energy
• In search of the dark matter dark energy interaction: a kinematic approach
• Reconstruction of the Dark Energy equation of state
• Improved constraints on the dark energy equation of state using Gaussian processes
• Non-parametric reconstruction of the cosmological \textit{jerk} parameter
• Kinematic constraints beyond $z\simeq 0$ using calibrated GRB correlations
• $\Lambda$CDM Tensions: Localising Missing Physics through Consistency Checks
• Hubble diagram at higher redshifts: Model independent calibration of quasars
• Crossing Statistic: Reconstructing the Expansion History of the Universe
• Modified gravity realizations of quintom dark energy after DESI DR2
• Constraining the dark energy equation of state using Bayes theorem and the Kullback-Leibler divergence
• Cosmology Intertwined: A Review of the Particle Physics, Astrophysics, and Cosmology Associated with the Cosmological Tensions and Anomalies
• Machine learning forecasts of the cosmic distance duality relation with strongly lensed gravitational wave events
• Non-parametric reconstruction of interaction in the cosmic dark sector
• Gaussian Processes Reconstruction of the Dark Energy Potential
• Searching for the Evidence of Dynamical Dark Energy
• Multi-tasking the growth of cosmological structures
• Phenomenological Reconstruction of $f(T)$ Teleparallel Gravity
• Exploring new physics in the late Universe's expansion through non-parametric inference
• A critical discussion on the $H_0$ tension
• A Model-independent Method to Determine $H_0$ Using Time-Delay Lensing, Quasars and Type Ia Supernovae
• Gaussian-process reconstructions and model building of quintom dark energy from latest cosmological observations
• Strongly lensed supernovae as a self-sufficient probe of the distance duality relation
• Pantheon+ constraints on dark energy and modified gravity: An evidence of dynamical dark energy
• Standard sirens and dark sector with Gaussian process
• Testing Cosmology with Double Source Lensing
• Gaussian Process Reconstruction of Reionization History
• Null tests with Gaussian Process
• Constraints on Cosmographic Functions of Cosmic Chronometers Data Using Gaussian Processes
• Strong lensing systems and galaxy cluster observations as probe to the cosmic distance duality relation
• A possible late-time transition of $M_B$ inferred via neural networks
• Reconstructing the growth index $\gamma$ with Gaussian Processes
• Can the Universe decelerate in the future?
• Data-driven and Almost Model-independent Reconstruction of Modified Gravity
• Non-parametric Reconstruction of Photon Escape Fraction from Reionization
• Potentialities of Hubble parameter and expansion rate function data to alleviate Hubble tension
• Determining Cosmological-model-independent $H_0$ with Gravitationally Lensed Supernova Refsdal
• Metastability in Emergent Dark Energy: A New Framework Confronting Cosmological Observations
• Multiple measurements on the cosmic curvature using Gaussian process regression without calibration and a cosmological model
• Studies on dark energy evolution
• Dark Energy in the DESI Era: A Brief Review of Evidence, Beyond-$\Lambda$CDM Interpretations, and Tensions
• Reconstruct the Distance Duality Relation by Gaussian Process
• Redshift evolution of the X-ray and UV luminosity relation of quasars: calibrated results from SNe Ia
• Impact of dark energy on the equation of state in light of the latest cosmological data
• A short review on Quintom dark energy theory
• Probing Cosmic Acceleration by Using Model-Independent Parametrizations and Three Kinds of Supernova Statistics Techniques
• Derivative hierarchy as the origin of kernel-dependent trends in Gaussian process reconstructions of the hubble parameter
• Crosschecking Cosmic Distances from DESI BAO and DES SNe
• ${\mathbf{\Omega }}_1{\mathbf{\Omega }}_2$-$\mathbf{\Lambda }$CDM: A promising phenomenological extension of the standard model of cosmology
• Model independent calibration for sound horizon combining observations of supernovae and transversal BAO measurements
• Cosmic acceleration and the Hubble tension from baryon acoustic oscillation data
• Characterising Dark Energy through supernovae
• Model-independent reconstruction of cosmic thermodynamics and dark energy dynamics
• Kinematic reconstruction of torsion as dark energy in Friedmann cosmology
• Reconstruction of a dark energy model for the Dirac-Born-Infeld scalar field with the Hubble and DESI data via Gaussian process
• Breaking the Mass-sheet Degeneracy in Time-delay Cosmology with Lensed and Unlensed Type Ia Supernovae