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Enabling Robust Exoplanet Atmospheric Retrievals with Gaussian Processes

Journal Article · · The Astrophysical Journal
Atmospheric retrievals are essential tools for interpreting exoplanet transmission and eclipse spectra, enabling quantitative constraints on the chemical composition, aerosol properties, and thermal structure of planetary atmospheres. The James Webb Space Telescope (JWST) offers unprecedented spectral precision, resolution, and wavelength coverage, unlocking transformative insights into the formation, evolution, climate, and potential habitability of planetary systems. However, this opportunity is accompanied by challenges: modeling assumptions and unaccounted-for noise or signal sources can bias retrieval outcomes and their interpretation. To address these limitations, we introduce a Gaussian process (GP)-aided atmospheric retrieval framework that flexibly accounts for unmodeled features and correlated noise in exoplanet spectra. We validate this method on synthetic JWST observations, and show that GP-aided retrievals reduce bias in inferred abundances and better capture model–data mismatches than traditional approaches. We also introduce the concept of mean squared error to quantify the trade-off between bias and variance, arguing that this metric more accurately reflects retrieval performance than bias alone. We then reanalyze the NIRISS/SOSS JWST transmission spectrum of WASP-96 b, finding that GP-aided retrievals yield broader constraints on CO2 and H2O, possibly alleviating tension between previous retrieval results and equilibrium predictions. Our GP framework provides precise and accurate constraints while highlighting regions where models fail to explain the data. As JWST matures and future facilities come online, a deeper understanding of the limitations of both data and models will be essential, and GP-enabled retrievals like the one presented here offer a principled path forward.
Research Organization:
Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
Sponsoring Organization:
National Aeronautics and Space Administration (NASA); USDOE National Nuclear Security Administration (NNSA)
Grant/Contract Number:
AC52-07NA27344
OSTI ID:
2587419
Report Number(s):
LLNL--JRNL-2003715
Journal Information:
The Astrophysical Journal, Journal Name: The Astrophysical Journal Journal Issue: 2 Vol. 989; ISSN 0004-637X; ISSN 1538-4357
Publisher:
American Astronomical SocietyCopyright Statement
Country of Publication:
United States
Language:
English

References (91)

On the safe use of prior densities for Bayesian model selection journal July 2022
Atmospheric Dynamics of Hot Giant Planets and Brown Dwarfs journal December 2020
Update of the HITRAN collision-induced absorption section journal August 2019
How priors of initial hyperparameters affect Gaussian process regression models journal January 2018
The search for habitable planets with biosignature gases framed by a ‘Biosignature Drake Equation’ journal May 2017
Clouds in the atmosphere of the super-Earth exoplanet GJ 1214b journal January 2014
A benchmark JWST near-infrared spectrum for the exoplanet WASP-39 b journal July 2024
Evidence for morning-to-evening limb asymmetry on the cool low-density exoplanet WASP-107 b journal September 2024
Highly reflective white clouds on the western dayside of an exo-Neptune journal February 2025
An absolute sodium abundance for a cloud-free ‘hot Saturn’ exoplanet journal May 2018
Identification of carbon dioxide in an exoplanet atmosphere journal September 2022
Early Release Science of the exoplanet WASP-39b with JWST NIRISS journal January 2023
Early Release Science of the exoplanet WASP-39b with JWST NIRSpec PRISM journal January 2023
Photochemically produced SO2 in the atmosphere of WASP-39b journal April 2023
Methane throughout the atmosphere of the warm exoplanet WASP-80b journal November 2023
SO2, silicate clouds, but no CH4 detected in a warm Neptune journal November 2023
Sulfur dioxide in the mid-infrared transmission spectrum of WASP-39b journal January 2024
A high internal heat flux and large core in a warm Neptune exoplanet journal May 2024
Inhomogeneous terminators on the exoplanet WASP-39 b journal July 2024
X-ray spectral modelling of the AGN obscuring region in the CDFS: Bayesian model selection and catalogue journal April 2014
K–H 2 line shapes for the spectra of cool brown dwarfs journal April 2016
Effects of a fully 3D atmospheric structure on exoplanet transmission spectra: retrieval biases due to day–night temperature gradients journal March 2019
Characterization of the L 98-59 multi-planetary system with HARPS: Mass characterization of a hot super-Earth, a sub-Neptune, and a mass upper limit on the third planet journal September 2019
Improving transit characterisation with Gaussian process modelling of stellar variability journal February 2020
Clouds form on the hot Saturn JWST ERO target WASP-96b journal January 2023
Temperature and density dependence of line profiles of sodium perturbed by helium journal June 2023
How do wavelength correlations affect transmission spectra? Application of a new fast and flexible 2D Gaussian process framework to transiting exoplanet spectroscopy journal May 2024
An isotopic-independent highly accurate potential energy surface for CO 2 isotopologues and an initial 12 C 16 O 2 infrared line list journal March 2012
Bayes in the sky: Bayesian inference and model selection in cosmology journal March 2008
Theoretical Transmission Spectra during Extrasolar Giant Planet Transits journal July 2000
A Temperature and Abundance Retrieval Method for Exoplanet Atmospheres journal November 2009
C/O Ratio as a Dimension for Characterizing Exoplanetary Atmospheres journal September 2012
A Systematic Retrieval Analysis of Secondary Eclipse Spectra. i. a Comparison of Atmospheric Retrieval Techniques journal September 2013
How to Distinguish Between Cloudy Mini-Neptunes and Water/Volatile-Dominated Super-Earths journal November 2013
Constructing a Flexible Likelihood Function for Spectroscopic Inference journal October 2015
ROVIBRATIONAL LINE LISTS FOR NINE ISOTOPOLOGUES OF THE CO MOLECULE IN THE X 1 Σ + GROUND ELECTRONIC STATE journal January 2015
The Near Infrared Imager and Slitless Spectrograph for the James Webb Space Telescope. III. Single Object Slitless Spectroscopy journal July 2023
The Effects of Snowlines on c/o in Planetary Atmospheres journal November 2011
A PRECISE WATER ABUNDANCE MEASUREMENT FOR THE HOT JUPITER WASP-43b journal September 2014
Exoplanet Biosignatures: A Framework for Their Assessment journal June 2018
Solar-to-supersolar sodium and oxygen absolute abundances for a ‘hot Saturn’ orbiting a metal-rich star journal June 2022
Applications of a Gaussian process framework for modelling of high-resolution exoplanet spectra journal March 2022
Awesome SOSS: atmospheric characterization of WASP-96 b using the JWST early release observations journal May 2023
Exoplanet spectroscopy with JWST NIRISS: diagnostics and case studies journal July 2023
Awesome SOSS: transmission spectroscopy of WASP-96b with NIRISS/SOSS journal June 2023
Near-infrared transmission spectroscopy of HAT-P-18 b with NIRISS: Disentangling planetary and stellar features in the era of JWST journal December 2023
Exoplanet transit spectroscopy with JWST NIRSpec: diagnostics and homogeneous case study of WASP-39 b journal May 2024
Transmission spectroscopy of WASP-52 b with JWST NIRISS: water and helium atmospheric absorption, alongside prominent star-spot crossings journal March 2025
Transiting hot Jupiters from WASP-South, Euler and TRAPPIST: WASP-95b to WASP-101b journal April 2014
A Gaussian process framework for modelling stellar activity signals in radial velocity data journal July 2015
A uniform analysis of HD 209458b Spitzer/IRAC light curves with Gaussian process models journal May 2015
ExoMol molecular line lists – XVI. The rotation–vibration spectrum of hot H2S journal May 2016
ExoMol molecular line lists – XIV. The rotation–vibration spectrum of hot SO 2 journal April 2016
ExoMol molecular line lists XXX: a complete high-accuracy line list for water journal August 2018
Retrieval of planetary and stellar properties in transmission spectroscopy with Aura journal August 2018
Gaussian process modelling of granulation and oscillations in red giant stars journal September 2019
ExoMol molecular line lists – XXXV. A rotation-vibration line list for hot ammonia journal November 2019
Fast Direct Methods for Gaussian Processes journal February 2016
MultiNest: an efficient and robust Bayesian inference tool for cosmology and particle physics journal October 2009
A Gaussian process framework for modelling instrumental systematics: application to transmission spectroscopy journal November 2011
exoTEDRF: An EXOplanet Transit and Eclipse Data Reduction Framework journal August 2024
The Influence of Nonuniform Cloud Cover on Transit Transmission Spectra journal March 2016
Fast and Scalable Gaussian Process Modeling with Applications to Astronomical Time Series journal November 2017
On Degeneracies in Retrievals of Exoplanetary Transmission Spectra journal May 2019
JWST Noise Floor. I. Random Error Sources in JWST NIRCam Time Series journal October 2020
On the Compatibility of Ground-based and Space-based Data: WASP-96 b, an Example* journal December 2020
Constraining Mornings and Evenings on Distant Worlds: A new Semianalytical Approach and Prospects with Transmission Spectroscopy journal September 2021
Understanding the Effects of Systematics in Exoplanetary Atmospheric Retrievals journal November 2021
ACCESS: Confirmation of a Clear Atmosphere for WASP-96b and a Comparison of Light Curve Detrending Techniques journal September 2022
On the Application of Bayesian Leave-one-out Cross-validation to Exoplanet Atmospheric Analysis journal February 2023
The Implications of 3D Thermal Structure on 1D Atmospheric Retrieval journal October 2017
The Transit Light Source Effect: False Spectral Features and Incorrect Densities for M-dwarf Transiting Planets journal January 2018
Exploring Exoplanet Cloud Assumptions in JWST Transmission Spectra journal September 2019
The Influence of Stellar Contamination on the Interpretation of Near-infrared Transmission Spectra of Sub-Neptune Worlds around M-dwarfs journal January 2020
Aurora: A Generalized Retrieval Framework for Exoplanetary Transmission Spectra journal June 2021
Uniform Forward-modeling Analysis of Ultracool Dwarfs. I. Methodology and Benchmarking journal July 2021
On Atmospheric Retrievals of Exoplanets with Inhomogeneous Terminators journal July 2022
The SPHINX M-dwarf Spectral Grid. I. Benchmarking New Model Atmospheres to Derive Fundamental M-dwarf Properties journal February 2023
An Accurate, Extensive, and Practical Line List of Methane for the HITEMP Database journal April 2020
Water Vapor and Clouds on the Habitable-zone Sub-Neptune Exoplanet K2-18b journal December 2019
Mass–Metallicity Trends in Transiting Exoplanets from Atmospheric Abundances of H2O, Na, and K journal December 2019
Water and an Escaping Helium Tail Detected in the Hazy and Methane-depleted Atmosphere of HAT-P-18b from JWST NIRISS/SOSS journal November 2022
High Tide or Riptide on the Cosmic Shoreline? A Water-rich Atmosphere or Stellar Contamination for the Warm Super-Earth GJ 486b from JWST Observations journal May 2023
Carbon-bearing Molecules in a Possible Hycean Atmosphere journal October 2023
Atmospheric Reconnaissance of TRAPPIST-1 b with JWST/NIRISS: Evidence for Strong Stellar Contamination in the Transmission Spectra journal September 2023
Double Trouble: Two Transits of the Super-Earth GJ 1132 b Observed with JWST NIRSpec G395H journal December 2023
Muted Features in the JWST NIRISS Transmission Spectrum of Hot Neptune LTT 9779b journal February 2024
Possible Carbon Dioxide above the Thick Aerosols of GJ 1214 b journal October 2024
Promise and Peril: Stellar Contamination and Strict Limits on the Atmosphere Composition of TRAPPIST-1 c from JWST NIRISS Transmission Spectra journal January 2025
TrExoLiSTS: Transiting Exoplanets List of Space Telescope Spectroscopy journal December 2022
Gaussian Processes for Machine Learning book January 2005

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