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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

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

Gaussian process regression is a widespread tool used to mitigate stellar correlated noise in radial velocity time series. It is particularly useful to search for and determine the properties of signals induced by small-size, low-mass…

Earth and Planetary Astrophysics · Physics 2019-08-21 M. Damasso , M. Pinamonti , G. Scandariato , A. Sozzetti

As the hunt for an Earth-like exoplanets has intensified in recent years, so has the effort to characterise and model the stellar signals that can hide or mimic small planetary signals. Stellar variability arises from a number of sources,…

Solar and Stellar Astrophysics · Physics 2024-04-19 Niamh K. O'Sullivan , Suzanne Aigrain

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

In this study we present an analysis of the performance and properties of the quasi-periodic (QP) GP kernel, which is the multiplication of the squared-exponential kernel by the exponential-sine-squared kernel, based on an extensive set of…

Earth and Planetary Astrophysics · Physics 2023-06-14 Stephan Stock , Jonas Kemmer , Diana Kossakowski , Silvia Sabotta , Sabine Reffert , Andreas Quirrenbach

The analysis of photometric time series in the context of transiting planet surveys suffers from the presence of stellar signals, often dubbed "stellar noise". These signals, caused by stellar oscillations and granulation, can usually be…

The growing field of large-scale time domain astronomy requires methods for probabilistic data analysis that are computationally tractable, even with large datasets. Gaussian Processes are a popular class of models used for this purpose…

Instrumentation and Methods for Astrophysics · Physics 2017-11-15 Daniel Foreman-Mackey , Eric Agol , Sivaram Ambikasaran , Ruth Angus

Doppler planet searches are complicated by stellar activity, through which cyclical changes in the host star's photosphere and chromosphere can mask or mimic planetary signals. A popular technique for modeling stellar activity is to apply a…

Earth and Planetary Astrophysics · Physics 2025-09-11 Justin Harrell , Sarah E. Dodson-Robinson

Radial-velocity (RV) planet searches are often polluted by signals caused by gas motion at the star's surface. Stellar activity can mimic or mask changes in the RVs caused by orbiting planets, resulting in false positives or missed…

Earth and Planetary Astrophysics · Physics 2021-05-05 Anna Bortle , Hallie Fausey , Jinbiao Ji , Sarah Dodson-Robinson , Victor Ramirez Delgado , John Gizis

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

The measured properties of stellar oscillations can provide powerful constraints on the internal structure and composition of stars. To begin this process, oscillation frequencies must be extracted from the observational data, typically…

Solar and Stellar Astrophysics · Physics 2009-11-13 Brendon J. Brewer , Dennis Stello

The study of exoplanetary atmospheres epitomises a continuous quest for higher accuracy measurements. Systematic effects and noise associated with both the stellar activity and the instrument can bias the results and thus limit the…

Earth and Planetary Astrophysics · Physics 2014-01-03 C. Danielski , T. Kacprzak , G. Tinetti , P. Jagoda

While stellar rotation periods $P_\mathrm{rot}$ may be measured from broadband photometry, the photometric modulation becomes harder to detect for slower rotators, which could bias measurements of the long-period tail of the…

Solar and Stellar Astrophysics · Physics 2021-12-22 Kento Masuda , Erik A. Petigura , Oliver J. Hall

We develop a non-linear semi-parametric Gaussian process model to estimate periods of Miras with sparsely-sampled light curves. The model uses a sinusoidal basis for the periodic variation and a Gaussian process for the stochastic changes.…

Solar and Stellar Astrophysics · Physics 2016-11-18 Shiyuan He , Wenlong Yuan , Jianhua Z. Huang , James Long , Lucas M. Macri

In the era of wide-field surveys like the Zwicky Transient Facility and the Rubin Observatory's Legacy Survey of Space and Time, sparse photometric measurements constitute an increasing percentage of asteroid observations, particularly for…

Although instruments for measuring the radial velocities (RVs) of stars now routinely reach sub-meter per second accuracy, the detection of low-mass planets is still very challenging. The rotational modulation and evolution of spots and/or…

Earth and Planetary Astrophysics · Physics 2024-01-12 Haochuan Yu , Suzanne Aigrain , Baptiste Klein , Oscar Barragán , Annelies Mortier , Niamh K. O'Sullivan , Michael Cretignier

The recent development of statistical methods that can distinguish between stellar activity and dynamical signals in radial velocity (RV) observations has facilitated the discovery and characterization of planets orbiting young stars. One…

Earth and Planetary Astrophysics · Physics 2024-09-25 Quang H. Tran , Brendan P. Bowler

In this note we present the starry_process code, which implements an interpretable Gaussian process (GP) for modeling variability in stellar light curves. As dark starspots rotate in and out of view, the total flux received from a distant…

Solar and Stellar Astrophysics · Physics 2021-02-10 Rodrigo Luger , Daniel Foreman-Mackey , Christina Hedges

Estimating causal effects in quasi-experiments with spatio-temporal panel data often requires adjusting for unmeasured confounding that varies across space and time. Gaussian Processes (GPs) offer a flexible, nonparametric modeling approach…

Methodology · Statistics 2025-07-08 Sofia L. Vega , Rachel C. Nethery
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