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The use of Gaussian processes (GPs) as models for astronomical time series datasets has recently become almost ubiquitous, given their ease of use and flexibility. GPs excel in particular at marginalization over the stellar signal in cases…

Solar and Stellar Astrophysics · Physics 2021-09-08 Rodrigo Luger , Daniel Foreman-Mackey , Christina Hedges

Developments in the stability of modern spectrographs have led to extremely precise instrumental radial velocity (RV) measurements. For most stars, the detection limit of planetary companions with these instruments is expected to be…

Earth and Planetary Astrophysics · Physics 2023-06-28 Quang H. Tran , Megan Bedell , Daniel Foreman-Mackey , Rodrigo Luger

Grid-based modelling is widely used for estimating stellar parameters. However, stellar model grid is sparse because of the computational cost. This paper demonstrates an application of a machine-learning algorithm using the Gaussian…

Solar and Stellar Astrophysics · Physics 2022-03-02 Tanda Li , Guy R. Davies , Alexander J. Lyttle , Warrick H. Ball , Lindsey M. Carboneau , Rafael A. Garcia

We introduce a novel method for discerning optical telescope images of stars from those of galaxies using Gaussian processes (GPs). Although applications of GPs often struggle in high-dimensional data modalities such as optical image…

Instrumentation and Methods for Astrophysics · Physics 2022-03-14 Amanda L. Muyskens , Imène R. Goumiri , Benjamin W. Priest , Michael D. Schneider , Robert E. Armstrong , Jason M. Bernstein , Ryan Dana

We derive analytic, closed form, numerically stable solutions for the total flux received from a spherical planet, moon or star during an occultation if the specific intensity map of the body is expressed as a sum of spherical harmonics.…

Instrumentation and Methods for Astrophysics · Physics 2019-01-30 Rodrigo Luger , Eric Agol , Daniel Foreman-Mackey , David P. Fleming , Jacob Lustig-Yaeger , Russell Deitrick

Gaussian processes (GPs) are commonly used as a model of stochastic variability in astrophysical time series. In particular, GPs are frequently employed to account for correlated stellar variability in planetary transit light curves. The…

Instrumentation and Methods for Astrophysics · Physics 2020-11-11 Tyler Gordon , Eric Agol , Daniel Foreman-Mackey

Variability in the light curves of spotted, rotating stars is often non-sinusoidal and quasi-periodic --- spots move on the stellar surface and have finite lifetimes, causing stellar flux variations to slowly shift in phase. A strictly…

Solar and Stellar Astrophysics · Physics 2017-12-27 Ruth Angus , Timothy Morton , Suzanne Aigrain , Daniel Foreman-Mackey , Vinesh Rajpaul

Interstellar dust corrupts nearly every stellar observation, and accounting for it is crucial to measuring physical properties of stars. We model the dust distribution as a spatially varying latent field with a Gaussian process (GP) and…

Astrophysics of Galaxies · Physics 2022-02-15 Andrew C. Miller , Lauren Anderson , Boris Leistedt , John P. Cunningham , David W. Hogg , David M. Blei

The last two decades have seen a major expansion in the availability, size, and precision of time-domain datasets in astronomy. Owing to their unique combination of flexibility, mathematical simplicity and comparative robustness, Gaussian…

Instrumentation and Methods for Astrophysics · Physics 2022-11-11 Suzanne Aigrain , Daniel Foreman-Mackey

In recent years, Gaussian Process (GP) regression has become widely used to analyse stellar and exoplanet time-series data sets. For spotted stars, the most popular GP covariance function is the quasi-periodic (QP) kernel, whose the…

Solar and Stellar Astrophysics · Physics 2022-08-03 Belinda A. Nicholson , Suzanne Aigrain

Temporal variations of apparent magnitude, called light curves, are observational statistics of interest captured by telescopes over long periods of time. Light curves afford the exploration of Space Domain Awareness (SDA) objectives such…

Instrumentation and Methods for Astrophysics · Physics 2022-09-01 Imène R. Goumiri , Alec M. Dunton , Amanda L. Muyskens , Benjamin W. Priest , Robert E. Armstrong

Measurements of radial velocity variations from the spectroscopic monitoring of stars and their companions are essential for a broad swath of astrophysics, providing access to the fundamental physical properties that dictate all phases of…

New photometric space missions to detect and characterise transiting exoplanets are focusing on bright stars to obtain high cadence, high signal-to-noise light curves. Since these missions will be sensitive to stellar oscillations and…

Earth and Planetary Astrophysics · Physics 2020-02-12 S. C. C. Barros , O. Demangeon , R. F. Díaz , J. Cabrera , N. C. Santos , J. P. Faria , F. Pereira

Stellar active regions like spots and faculae can distort the shapes of spectral lines, inducing variations in the radial velocities that are often orders of magnitude larger than the signals from Earth-like planets. Efforts to mitigate…

Earth and Planetary Astrophysics · Physics 2024-10-17 Haochuan Yu , Suzanne Aigrain , Baptiste Klein , Michael Cretignier , Florian Lienhard , Stephen J. Roberts

This article shortly introduces Gaussian processes (GP) as a new approach for modelling time series in the field of blazar physics. In the second part of the paper, recent results from an application of GP modelling to the multi-wavelength…

High Energy Astrophysical Phenomena · Physics 2017-03-08 V. Karamanavis

The Gaussian process (GP) regression can be severely biased when the data are contaminated by outliers. This paper presents a new robust GP regression algorithm that iteratively trims the most extreme data points. While the new algorithm…

Machine Learning · Computer Science 2021-06-15 Zhao-Zhou Li , Lu Li , Zhengyi Shao

Physically motivated Gaussian process (GP) kernels for stellar variability, like the commonly used damped, driven simple harmonic oscillators that model stellar granulation and p-mode oscillations, quantify the instantaneous covariance…

Instrumentation and Methods for Astrophysics · Physics 2026-05-14 Jacob K. Luhn , Ryan A. Rubenzahl , Samuel Halverson , Lily L. Zhao

We present StarryStarryProcess, a novel hierarchical Bayesian framework for mapping stellar surfaces using exoplanet transit light curves. While previous methods relied solely on stellar rotational light curves -- which contain limited…

Earth and Planetary Astrophysics · Physics 2025-08-12 Sabina Sagynbayeva , Will M. Farr , Brett Morris , Rodrigo Luger

Observations of exoplanet atmospheres in high resolution have the potential to resolve individual planetary absorption lines, despite the issues associated with ground-based observations. The removal of contaminating stellar and telluric…

Earth and Planetary Astrophysics · Physics 2022-03-18 Annabella Meech , Suzanne Aigrain , Matteo Brogi , Jayne Birkby

The detailed modelling of stellar oscillations is a powerful approach to characterising stars. However, poor treatment of systematics in theoretical models leads to misinterpretations of stars. Here we propose a more principled statistical…

Solar and Stellar Astrophysics · Physics 2023-06-06 Tanda Li , Guy R. Davies , Martin Nielsen , Margarida S. Cunha , Alexander J. Lyttle
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