Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

Inferring the Redshift of More than 150 GRBs with a Machine-learning Ensemble Model

Journal Article · · The Astrophysical Journal. Supplement Series
 [1];  [2];  [3];  [4];  [5];  [6];  [7];  [7];  [8];  [9];  [10]
  1. National Astronomical Observatory of Japan, Tokyo (Japan); Graduate Univ. for Advanced Studies, Hayama (Japan); Space Science Institute, Boulder, CO (United States); Univ. of Nevada, Las Vegas, NV (United States); Bay Area Environmental Research Institute, Moffett Field, Mountain View, CA (United States); SLAC
  2. Michigan State Univ., East Lansing, MI (United States)
  3. Yale Univ., New Haven, CT (United States)
  4. Univ. of California, Berkeley, CA (United States)
  5. Jagiellonian Univ., Krakow (Poland)
  6. Jagiellonian Univ., Krakow (Poland); National Center for Nuclear Physics (NCB), Warsaw (Poland)
  7. SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States); Stanford Univ., CA (United States)
  8. Univ. of Wroclaw (Poland); Lund Univ. (Sweden)
  9. Stanford Univ., CA (United States)
  10. National Astronomical Observatory of Japan, Tokyo (Japan); Graduate Univ. for Advanced Studies, Hayama (Japan)
Gamma-ray bursts (GRBs), due to their high luminosities, are detected up to a redshift of 10, and thus have the potential to be vital cosmological probes of early processes in the Universe. Fulfilling this potential requires a large sample of GRBs with known redshifts, but due to observational limitations, only 11% have known redshifts (z). There have been numerous attempts to estimate redshifts via correlation studies, most of which have led to inaccurate predictions. To overcome this, we estimated GRB redshift via an ensemble-supervised machine-learning (ML) model that uses X-ray afterglows of long-duration GRBs observed by the Neil Gehrels Swift Observatory. The estimated redshifts are strongly correlated (a Pearson coefficient of 0.93) and have an rms error, namely, the square root of the average squared error $$\langle$$Δz2$$\rangle$$, of 0.46 with the observed redshifts showing the reliability of this method. The addition of GRB afterglow parameters improves the predictions considerably by 63% compared to previous results in peer-reviewed literature. Finally, we use our ML model to infer the redshifts of 154 GRBs, which increase the known redshifts of long GRBs with plateaus by 94%, a significant milestone for enhancing GRB population studies that require large samples with redshift.
Research Organization:
SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)
Sponsoring Organization:
Ministry of Science and Higher Education; National Aeronautics and Space Administration (NASA); National Science Center (NCN); USDOE Office of Science (SC)
Grant/Contract Number:
AC02-76SF00515
OSTI ID:
2403400
Journal Information:
The Astrophysical Journal. Supplement Series, Journal Name: The Astrophysical Journal. Supplement Series Journal Issue: 1 Vol. 271; ISSN 0067-0049
Publisher:
IOP PublishingCopyright Statement
Country of Publication:
United States
Language:
English

References (76)

The Swift Ultra-Violet/Optical Telescope journal October 2005
The Burst Alert Telescope (BAT) on the SWIFT Midex Mission journal October 2005
The Swift X-Ray Telescope journal October 2005
An unusual supernova in the error box of the γ-ray burst of 25 April 1998 journal October 1998
Transient optical emission from the error box of the γ-ray burst of 28 February 1997 journal April 1997
Discovery of an X-ray afterglow associated with the γ-ray burst of 28 February 1997 journal June 1997
A link between prompt optical and prompt γ-ray emission in γ-ray bursts journal May 2005
A γ-ray burst at a redshift of z ≈ 8.2 journal October 2009
Gamma-ray burst optical light-curve zoo: comparison with X-ray observations journal August 2013
Improved cosmological constraints from a joint analysis of the SDSS-II and SNLS supernova samples journal August 2014
Intrinsic spectra and energetics of BeppoSAX Gamma–Ray Bursts with known redshifts journal July 2002
A simple empirical redshift indicator for gamma-ray bursts journal August 2003
Handbook of Methods of Applied Statistics. Volume I: Techniques of Computation Descriptive Methods, and Statistical Inference. Volume II: Planning of Surveys and Experiments. I. M. Chakravarti, R. G. Laha, and J. Roy, New York, John Wiley; 1967, $9.00. journal September 1968
EDF Statistics for Goodness of Fit and Some Comparisons journal September 1974
A simple test of independence for truncated data with applications to redshift surveys journal November 1992
Light Curves and Spectra of Dust Echoes from Gamma‐Ray Bursts and Their Afterglows: Continued Evidence That GRB 970228 Is Associated with a Supernova journal June 2001
Gamma‐Ray Burst Formation Rate Inferred from the Spectral Peak Energy–Peak Luminosity Relation journal July 2004
The Swift Gamma‐Ray Burst Mission journal August 2004
Gamma‐Ray Burst Afterglow Light Curves in the Pre‐SwiftEra: A Statistical Study journal February 2006
Signatures of Extragalactic Dust in Pre‐ Swift GRB Afterglows journal April 2006
Physical Processes Shaping Gamma‐Ray Burst X‐Ray Afterglow Light Curves: Theoretical Implications from the Swift X‐Ray Telescope Observations journal May 2006
Evidence for a Canonical Gamma‐Ray Burst Afterglow Light Curve in the Swift XRT Data journal May 2006
Short Gamma‐Ray Bursts with Extended Emission journal May 2006
The Early X‐Ray Emission from GRBs journal August 2006
Evidence of Exponential Decay Emission in the Swift Gamma‐Ray Bursts journal November 2007
A Comprehensive Analysis of Swift XRT Data. II. Diverse Physical Origins of the Shallow Decay Segment journal November 2007
TWO SNe Ia AT REDSHIFT ∼2: IMPROVED CLASSIFICATION AND REDSHIFT DETERMINATION WITH MEDIUM-BAND INFRARED IMAGING journal October 2015
STUDY OF POSSIBLE SYSTEMATICS IN THE L * X - T * a CORRELATION OF GAMMA-RAY BURSTS journal March 2011
A PHOTOMETRIC REDSHIFT OF z ∼ 9.4 FOR GRB 090429B journal June 2011
NONPARAMETRIC STUDY OF THE EVOLUTION OF THE COSMOLOGICAL EQUATION OF STATE WITH SNeIa, BAO, AND HIGH-REDSHIFT GRBs journal February 2014
Selection Effects in Gamma-Ray Burst Correlations: Consequences on the Ratio Between Gamma-Ray Burst and star Formation Rates journal February 2015
Determination of the Intrinsic Luminosity time Correlation in the X-Ray Afterglows of Gamma-Ray Bursts journal August 2013
Cosmological Evolution of long Gamma-Ray Bursts and the star Formation rate journal June 2015
Supernova Constraints and Systematic Uncertainties from the First Three Years of the Supernova Legacy Survey journal December 2010
Tests of Catastrophic Outlier Prediction in Empirical Photometric Redshift Estimation with Redshift Probability Distributions journal January 2020
Fast Optical Variability of a Naked-Eye Burst—Manifestation of the Periodic Activity of an Internal Engine journal July 2010
Standardizing Dainotti-correlated gamma-ray bursts, and using them with standardized Amati-correlated gamma-ray bursts to constrain cosmological model parameters journal December 2021
Optical and X-ray GRB Fundamental Planes as cosmological distance indicators journal June 2022
Gamma-ray burst data strongly favour the three-parameter fundamental plane (Dainotti) correlation over the two-parameter one journal August 2022
The gamma-ray bursts fundamental plane correlation as a cosmological tool journal October 2022
Standardizing Platinum Dainotti-correlated gamma-ray bursts, and using them with standardized Amati-correlated gamma-ray bursts to constrain cosmological model parameters journal February 2022
Tensions with the flat ΛCDM model from high-redshift cosmography journal August 2023
Constraining properties of GRB magnetar central engines using the observed plateau luminosity and duration correlation journal July 2014
Machine-z: rapid machine-learned redshift indicator forSwiftgamma-ray bursts journal March 2016
The Ep,i-Eiso correlation in gamma-ray bursts: updated observational status, re-analysis and main implications journal October 2006
Taxonomy of gamma-ray burst optical light curves: identification of a salient class of early afterglows journal June 2008
Methods and results of an automatic analysis of a complete sample of Swift -XRT observations of GRBs journal August 2009
An updated gamma-ray bursts Hubble diagram journal December 2009
Constraining cosmological parameters by gamma-ray burst X-ray afterglow light curves: GRBs afterglow and cosmological parameters journal September 2010
Optical afterglows of gamma-ray bursts: peaks, plateaus and possibilities: Optical afterglows journal May 2011
Towards a standard gamma-ray burst: tight correlations between the prompt and the afterglow plateau phase emission: Correlations between prompt and afterglow journal November 2011
Prompt, early and afterglow optical observations of five γ-ray bursts: GRB 100901A, GRB 100902A, GRB 100905A, GRB 100906A and GRB 101020A journal March 2012
A time-luminosity correlation for γ-ray bursts in the X-rays: GRB time-luminosity correlation in X-ray journal October 2008
A correlation between the intrinsic brightness and average decay rate of Swift /UVOT gamma-ray burst optical/ultraviolet light curves: log L 200 s>200 s correlation journal September 2012
Regression Shrinkage and Selection Via the Lasso journal January 1996
The Bright Optical Flash and Afterglow from the Gamma-Ray Burst GRB 130427A journal November 2013
Robust Estimation of a Location Parameter journal March 1964
Building Predictive Models in R Using the caret Package journal January 2008
mice : Multivariate Imputation by Chained Equations in R journal January 2011
Generalized Linear Models journal January 1972
Using Multivariate Imputation by Chained Equations to Predict Redshifts of Active Galactic Nuclei journal March 2022
Accounting for Selection Bias and Redshift Evolution in GRB Radio Afterglow Data journal November 2021
CGRO /BATSE DATA SUPPORT THE NEW PARADIGM FOR GRB PROMPT EMISSION AND THE NEW ${L}_{{\rm{i}}}^{\mathrm{nTh}}$–${E}_{\mathrm{peak},{\rm{i}}}^{\mathrm{nTh},\mathrm{rest}}$ RELATION journal March 2016
THE THIRD SWIFT BURST ALERT TELESCOPE GAMMA-RAY BURST CATALOG journal September 2016
A Study of the Gamma-Ray Burst Fundamental Plane journal October 2017
The Complete Light-curve Sample of Spectroscopically Confirmed SNe Ia from Pan-STARRS1 and Cosmological Constraints from the Combined Pantheon Sample journal May 2018
A Decade of Gamma-Ray Bursts Observed by Fermi -LAT: The Second GRB Catalog journal June 2019
On the Investigation of the Closure Relations for Gamma-Ray Bursts Observed by Swift in the Post-plateau Phase and the GRB Fundamental Plane journal October 2020
Examining Two-dimensional Luminosity–Time Correlations for Gamma-Ray Burst Radio Afterglows with VLA and ALMA journal January 2022
Quasar Standardization: Overcoming Selection Biases and Redshift Evolution journal May 2022
Constraining the Type of Central Engine of GRBs with Swift Data journal May 2018
On the Existence of the Plateau Emission in High-energy Gamma-Ray Burst Light Curves Observed by Fermi-LAT journal July 2021
Predicting the Redshift of Gamma-Ray Loud AGNs Using Supervised Machine Learning. II journal April 2022
A Stochastic Approach to Reconstruct Gamma-Ray-burst Light Curves journal August 2023
A Fundamental Plane for long Gamma-Ray Bursts with X-Ray Plateaus journal July 2016
The Optical Luminosity–Time Correlation for More than 100 Gamma-Ray Burst Afterglows journal December 2020

Similar Records

GRB 221009A: Discovery of an Exceptionally Rare Nearby and Energetic Gamma-Ray Burst
Journal Article · Mon Mar 27 20:00:00 EDT 2023 · The Astrophysical Journal. Letters · OSTI ID:1970305

The case for a high-redshift origin of GRB 100205A
Journal Article · Mon Jul 01 20:00:00 EDT 2019 · Monthly Notices of the Royal Astronomical Society · OSTI ID:1542502

IDENTIFYING THE LOCATION IN THE HOST GALAXY OF THE SHORT GRB 111117A WITH THE CHANDRA SUBARCSECOND POSITION
Journal Article · Wed Mar 20 00:00:00 EDT 2013 · Astrophysical Journal · OSTI ID:22167546