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In this paper, we calibrate the luminosity relation of gamma-ray bursts (GRBs) from an Artificial Neural Network (ANN) framework for reconstructing the Hubble parameter \unboldmath{$H(z)$} from the latest observational Hubble data (OHD)…

Cosmology and Nongalactic Astrophysics · Physics 2025-04-04 Zhen Huang , Zhiguo Xiong , Xin Luo , Guangzhen Wang , Yu Liu , Nan Liang

In this paper, we calibrate the luminosity relation of gamma-ray bursts (GRBs) with the machine learning (ML) algorithms from the Pantheon+ sample of type Ia supernovae in a cosmology-independent way. By using K-Nearest Neighbors (KNN) and…

Cosmology and Nongalactic Astrophysics · Physics 2025-02-25 Bin Zhang , Huifeng Wang , Xiaodong Nong , Guangzhen Wang , Puxun Wu , Nan Liang

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…

Cosmology and Nongalactic Astrophysics · Physics 2025-07-25 Zhen Huang , Xin Luo , Bin Zhang , Jianchao Feng , Puxun Wu , Yu Liu , Nan Liang

Luminosity correlations of long Gamma-ray bursts (GRB) are extensively proposed as an effective complementarity to trace the Hubble diagram of Universe at high redshifts, which is of great importance to explore properties of dark energy.…

High Energy Astrophysical Phenomena · Physics 2017-02-22 Guo-Jian Wang , Hai Yu , Zheng-Xiang Li , Jun-Qing Xia , Zong-Hong Zhu

Gamma-ray bursts (GRBs) are widely proposed as an effective probe to trace the Hubble diagram of the Universe in high redshift range. However, the calibration of GRBs is not as easy as that of type-Ia supernovae (SNe Ia). Most calibrating…

High Energy Astrophysical Phenomena · Physics 2015-08-21 Hai-Nan Lin , Xin Li , Sai Wang , Zhe Chang

The $\Lambda$ Cold Dark Matter ($\Lambda$CDM) cosmological model has been highly successful in predicting cosmic structure and evolution, yet recent precision measurements have highlighted discrepancies, especially in the Hubble constant…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-08 Purba Mukherjee , Maria Giovanna Dainotti , Konstantinos F. Dialektopoulos , Jackson Levi Said , Jurgen Mifsud

We calibrate the distance and reconstruct the Hubble diagram of gamma-ray bursts (GRBs) using deep learning. We construct an artificial neural network, which combines the recurrent neural network and Bayesian neural network, and train the…

General Relativity and Quantum Cosmology · Physics 2021-11-22 Li Tang , Hai-Nan Lin , Xin Li , Liang Liu

We present a sample of 74 Gamma-Ray Bursts (GRBs) from the Fermi-GBM catalogue for which we compute the distance moduli and use them to constrain effective dark energy models. To overcome the circularity problem affecting GRBs as distance…

High Energy Astrophysical Phenomena · Physics 2021-01-01 Ariadna Montiel , J. I. Cabrera , Juan Carlos Hidalgo

An important concern in the application of gamma-ray bursts (GRBs) to cosmology is that the calibration of GRB luminosity/energy relations depends on the cosmological model, due to the lack of a sufficient low-redshift GRB sample. In this…

Astrophysics · Physics 2009-11-13 Nan Liang , Wei Ke Xiao , Yuan Liu , Shuang Nan Zhang

Gamma-ray bursts (GRBs) detected at high redshift can be used to trace the Hubble diagram of the Universe. However, the distance calibration of GRBs is not as easily as that of type Ia supernovae (SNe Ia). For the calibrating method based…

Cosmology and Nongalactic Astrophysics · Physics 2021-11-23 Li Tang , Xin Li , Hai-Nan Lin , Liang Liu

Recently, Gamma-Ray Bursts (GRBs) were proposed to be a complementary cosmological probe to type Ia supernovae (SNIa). GRBs have been advocated to be standard candles since several empirical GRB luminosity relations were proposed as…

Astrophysics · Physics 2009-08-31 Hao Wei , Shuang Nan Zhang

Context. Gamma-ray bursts (GRBs) reach redshifts beyond Type Ia supernovae (SNe Ia) and can extend distance measurements into the early Universe, but their use as distance indicators is limited by the circularity problem in calibrating…

Cosmology and Nongalactic Astrophysics · Physics 2026-03-19 Wei Hong , Luca Izzo , Massimo Della Valle , Orlando Luongo , Marco Muccino , Tong-Jie Zhang

In this work, our focus is on exploring the potential of current GRB measurements to provide reliable constraints on cosmological model parameters at high redshift. This work is divided into two parts. First, we calibrate the Amati relation…

Cosmology and Nongalactic Astrophysics · Physics 2023-07-10 Darshan Kumar , Nisha Rani , Deepak Jain , Shobhit Mahajan , Amitabha Mukherjee

In this paper, we firstly calibrate the Amati relation (the $E_{\rm p}-E_{\rm iso}$ correlation) of gamma ray bursts (GRBs) at low redshifts ($z<0.8$) via Gaussian process by using the type Ia supernovae samples from Pantheon+ under the…

Cosmology and Nongalactic Astrophysics · Physics 2023-09-12 Yuhao Mu , Baorong Chang , Lixin Xu

Gamma-ray bursts (GRBs) detected at high redshift can be used to trace the cosmic expansion history. However, the calibration of their luminosity distances is not an easy task in comparison to Type Ia Supernovae (SNeIa). To calibrate these…

Cosmology and Nongalactic Astrophysics · Physics 2022-04-20 Celia Escamilla-Rivera , Maryi Carvajal , Cristian Zamora , Martin Hendry

In this paper, we calibrate the Amati relation (the $E_{\rm p}$-${E}_{\rm iso}$ correlation) of gamma-ray bursts (GRBs) in a cosmology-independent way. By using Gaussian process to reconstruct the smoothed luminosity distance from the…

Cosmology and Nongalactic Astrophysics · Physics 2022-12-16 Nan Liang , Zihao Li , Xiaoyao Xie , Puxun Wu

As so far, the redshift of Gamma-ray bursts (GRBs) can extend to $z\sim 8$ which makes it as a complementary probe of dark energy to supernova Ia (SN Ia). However, the calibration of GRBs is still a big challenge when they are used to…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-19 Lixin Xu

Gamma-ray bursts (GRBs) have long been proposed as a complementary probe to type Ia supernovae (SNe Ia) and cosmic microwave background to explore the expansion history of the high-redshift universe, mainly because they are bright enough to…

High Energy Astrophysical Phenomena · Physics 2021-11-11 Yan Dai , Xiao-Gang Zheng , Zheng-Xiang Li , He Gao , Zong-Hong Zhu

We use model-independent luminosity distances of 186 HII galaxy observations to address the circularity problem in the Amati relation for Gamma-ray Bursts (GRBs). For this purpose, we used Artificial Neural Network based interpolation to…

High Energy Astrophysical Phenomena · Physics 2025-11-11 Rikiya Okazaki , Shantanu Desai

Gamma-ray bursts (GRBs) are a potential tool to probe high-redshift universe. However, the circularity problem enforces people to find model-independent methods to study the luminosity correlations of GRBs. Here, we present a new method…

High Energy Astrophysical Phenomena · Physics 2019-03-06 Yu-Yang Wang , F. Y. Wang
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