Gamma-Ray Bursts Calibrated by Using Artificial Neural Networks from the Pantheon+ Sample
arXiv:2506.08929 · doi:10.3390/universe11080241
Abstract
In this paper, we calibrate the luminosity relation of gamma-ray bursts (GRBs) by Artificial Neural Networks (ANN) which is employed to analyze the Pantheon+ sample of type Ia supernovae (SNe Ia) in a manner independent of cosmological assumptions. The A219 GRB dataset are used to calibrate the Amati relation (\(E_{\rm p}\)-\(E_{\rm iso}\)) at low redshift with the ANN framework, facilitating the construction of the Hubble diagram at higher redshifts. Cosmological models are constrained with GRBs at high-redshift and the latest observational Hubble data (OHD) via a Markov Chain Monte Carlo numerical approach. For the Chevallier-Polarski-Linder (CPL) model within a flat universe, we obtain \(Ω_{\rm m} = 0.321^{+0.078}_{-0.069}\), \(h = 0.654^{+0.053}_{-0.071}\), \(w_0 = -1.02^{+0.67}_{-0.50}\), and \(w_a = -0.98^{+0.58}_{-0.58}\) at the 1-\(σ\) confidence level, which indicating a preference for dark energy with potential redshift evolution (\(w_a \neq 0\)). These findings by using ANN align closely with those derived from GRBs calibrated by using Gaussian Processes.
Accepted for publication in Universe. 11 pages, 7 figures, 3 tables
References in corpus (91)
- emcee: The MCMC Hammer
- Exploring the Expansion History of the Universe
- Accelerating Universes with Scaling Dark Matter
- Planck 2018 results. I. Overview and the cosmological legacy of Planck
- Intrinsic spectra and energetics of BeppoSAX Gamma-Ray Bursts with known redshifts
- A 6% measurement of the Hubble parameter at : direct evidence of the epoch of cosmic re-acceleration
- 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 z2
- Improved constraints on the expansion rate of the Universe up to z~1.1 from the spectroscopic evolution of cosmic chronometers
- The Pantheon+ Analysis: The Full Dataset and Light-Curve Release
- Age-dating Luminous Red Galaxies observed with the Southern African Large Telescope
- Reconstruction of dark energy and expansion dynamics using Gaussian processes
- The Hubble Diagram to Redshift >6 from 69 Gamma-Ray Bursts
- Measuring the cosmological parameters with the Ep,i-Eiso correlation of Gamma-Ray Bursts
- The CosmoVerse White Paper: Addressing observational tensions in cosmology with systematics and fundamental physics
- Setting the Stage for Cosmic Chronometers. II. Impact of Stellar Population Synthesis Models Systematics and Full Covariance Matrix
- A Possible Cepheid-Like Luminosity Estimator for the Long Gamma-Ray Bursts
- Toward a Better Understanding of Cosmic Chronometers: A new measurement of H(z) at z~0.7
- A time - luminosity correlation for Gamma Ray Bursts in the X - rays
- Constraining and Dark Energy with Gamma-Ray Bursts
- Gamma Ray Bursts: new rulers to measure the Universe
- Cosmology with gamma-ray bursts: I. The Hubble diagram through the calibrated - correlation
- A Cosmology-Independent Calibration of Gamma-Ray Burst Luminosity Relations and the Hubble Diagram
- Gamma Ray Bursts as standard candles to constrain the cosmological parameters
- Observational Constraints on Cosmological Models with the Updated Long Gamma-Ray Bursts
- Gamma-Ray Burst Hubble Diagram to z=4.5
- Addressing the circularity problem in the correlation of Gamma-Ray Bursts
- New Observational Data from Full-Spectrum Fitting of Cosmic Chronometers in the LEGA-C Survey
- Using H(z) data as a probe of the concordance model
- A fundamental plane for long gamma-ray bursts with X-ray plateaus
- An updated Gamma Ray Bursts Hubble diagram
- Cosmology with gamma-ray bursts: II Cosmography challenges and cosmological scenarios for the accelerated Universe
- A deep learning approach to cosmological dark energy models
- Cosmography by GRBs
- Gamma-Ray Bursts in Suggest that the Time Variation of the Dark Energy is Small
- Measuring dark energy with the correlation of gamma-ray bursts using model-independent methods
- Measuring cosmological parameters with Gamma-Ray Bursts
- Do gamma-ray burst measurements provide a useful test of cosmological models?
- Reconstructing Functions and Estimating Parameters with Artificial Neural Networks: A Test with the Hubble Parameter and SNe Ia
- An Improved Method to Measure the Cosmic Curvature
- Standardizing Platinum Dainotti-correlated gamma-ray bursts, and using them with standardized Amati-correlated gamma-ray bursts to constrain cosmological model parameters
- Cosmological Models and Gamma-Ray Bursts Calibrated by Using Pade Method
- Constraints on cosmological parameters from gamma-ray burst peak photon energy and bolometric fluence measurements and other data
- Can Gamma-Ray Bursts Be Used to Measure Cosmology? A Further Analysis
- Calibration of Gamma-Ray Burst Luminosity Indicators
- A new method optimized to use Gamma Ray Bursts as cosmic rulers
- New measurements of from gamma-ray bursts
- Measuring cosmological parameters with a luminosity-time correlation of gamma-ray bursts
- Constraining the Cosmological Parameters and Transition Redshift with Gamma-Ray Bursts and Supernovae
- Model independent calibrations of gamma ray bursts using machine learning
- Reconstructing the Cosmic Expansion History up to Redshift z=6.29 with the Calibrated Gamma-Ray Bursts
- Constraints on Cosmological Models and Reconstructing the Acceleration History of the Universe with Gamma-Ray Burst Distance Indicators
- Constraints on the generalized Chaplygin gas model including gamma-ray bursts via a Markov Chain Monte Carlo approach
- Tracing dark energy history with gamma ray bursts
- Neural Network Reconstruction of Late-Time Cosmology and Null Tests
- Calibrating Gamma-Ray Bursts by Using a Gaussian Process with Type Ia Supernovae
- Testing Dark Energy Models with Gamma-Ray Bursts Calibrated from the Observational Data through a Gaussian Process
- Gamma ray burst constraints on cosmological models from the improved Amati correlation
- Testing Non-Coincident -gravity with DESI DR2 BAO and GRBs
- Model-independent Constraints on Cosmic Curvature and Opacity
- - correlation of gamma ray bursts: calibration and cosmological applications
- Broad band time-resolved E_{p,i}--L_{iso} correlation in GRBs
- Calibration of GRB Luminosity Relations with Cosmography
- Neural network reconstructions for the Hubble parameter, growth rate and distance modulus
- Model-independent distance calibration of high-redshift gamma-ray bursts and constrain on the CDM model
- The improved Amati correlations from Gaussian copula
- Cosmology-Independent Distance Moduli of 42 Gamma-Ray Bursts between Redshift of 1.44 and 6.60
- A cosmological independent calibration of the Ep,i-Eiso correlation for Gamma Ray Bursts
- Model-independently calibrating the luminosity correlations of gamma-ray bursts using deep learning
- An upscattering spectral formation model for the prompt emission of Gamma-Ray Bursts
- Redshift evolution of the Amati relation: calibrated results from the Hubble diagram of quasars at high redshifts
- Measuring the Hubble Constant with cosmic chronometers: a machine learning approach
- Neural networks and standard cosmography with newly calibrated high redshift GRB observations
- Gamma Rays Bursts: A Viable Cosmological Probe?
- Calibration of gamma-ray bursts luminosity correlations using gravitational waves as standard sirens
- Constraints on the cosmological parameters with three-parameter correlation of Gamma-ray bursts
- Constraints from Fermi observations of Long Gamma-Ray Bursts on cosmological parameters
- LADDER: Revisiting the Cosmic Distance Ladder with Deep Learning Approaches and Exploring its Applications
- Constraints on Cosmological Models from Quasars Calibrated with Type Ia Supernova by a Gaussian Process
- Low redshift calibration of the Amati relation using galaxy clusters
- Cosmography by GRBs : Gamma Ray Bursts as possible distance indicators
- Constraining the emergent dark energy models with observational data at intermediate redshift
- Standardizing the Gamma-ray burst as a standard candle and applying to the cosmological probes: constraints on the two-component dark energy model
- Testing the standardizability of, and deriving cosmological constraints from, a new Amati-correlated gamma-ray burst data compilation
- Reconstructing the Hubble diagram of gamma-ray bursts using deep learning
- A Non-parametric Reconstruction of the Hubble Parameter Based on Radial Basis Function Neural Networks
- Constraints on Cosmological Models with Gamma-Ray Bursts in Cosmology-Independent Way
- Testing the phenomenological interacting dark energy model with gamma-ray bursts and Pantheon+ type Ia supernovae
- Model-independent Gamma-Ray Bursts Constraints on Cosmological Models Using Machine Learning
- Gamma-Ray Bursts Calibrated from the Observational Data in Artificial Neural Network Framework
- Calibration of luminosity correlations of gamma-ray bursts using quasars