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Gaussian processes (GPs) are the most common formalism for defining probability distributions over spaces of functions. While applications of GPs are myriad, a comprehensive understanding of GP sample paths, i.e. the function spaces over…

Machine Learning · Computer Science 2026-01-06 Nathaël Da Costa , Marvin Pförtner , Lancelot Da Costa , Philipp Hennig

Co-rotating spots at different latitudes on the stellar surface generate periodic photometric variability and can be useful proxies to detect Differential Rotation (DR). DR is a major ingredient of the solar dynamo but observations of…

Solar and Stellar Astrophysics · Physics 2015-06-16 Timo Reinhold , Ansgar Reiners

Gaussian processes are rich distributions over functions, which provide a Bayesian nonparametric approach to smoothing and interpolation. We introduce simple closed form kernels that can be used with Gaussian processes to discover patterns…

Machine Learning · Statistics 2014-01-03 Andrew Gordon Wilson , Ryan Prescott Adams

It has been demonstrated that the time variability of a star's brightness at different frequencies can be used to infer its surface gravity, radius, mass, and age. With large samples of light curves now available from Kepler and K2, and…

Solar and Stellar Astrophysics · Physics 2018-10-17 Melissa K. Ness , Victor Silva Aguirre , Mikkel N. Lund , Matteo Cantiello , Daniel Foreman-Mackey , David W. Hogg , Ruth Angus

We develop a general framework for interpreting and analyzing high-precision lightcurves from eccentric stellar binaries. Although our methods are general, we focus on the recently discovered Kepler system KOI-54, a face-on binary of two A…

Solar and Stellar Astrophysics · Physics 2015-05-30 Joshua Burkart , Eliot Quataert , Phil Arras , Nevin N. Weinberg

The detection of terrestrial planets by radial velocity and photometry is hindered by the presence of stellar signals. Those are often modeled as stationary Gaussian processes, whose kernels are based on qualitative considerations, which do…

Solar and Stellar Astrophysics · Physics 2025-04-23 Nathan C. Hara , Jean-Baptiste Delisle

We use photometry from the Kepler Mission to study oscillations in gamma Doradus stars. Some stars show remarkably clear sequences of g modes and we use period echelle diagrams to measure period spacings and identify rotationally split…

Solar and Stellar Astrophysics · Physics 2015-10-21 Timothy R. Bedding , Simon J. Murphy , Isabel L. Colman , Donald W. Kurtz

We report on the properties of eclipsing binaries from the Kepler mission with a newly developed photometric modeling code, which uses the light curve, spectral energy distribution of each binary, and stellar evolution models to infer…

Solar and Stellar Astrophysics · Physics 2019-08-14 Diana Windemuth , Eric Agol , Aleezah Ali , Flavien Kiefer

The rotation periods of planet-hosting stars can be used for modeling and mitigating the impact of magnetic activity in radial velocity measurements and can help constrain the high-energy flux environment and space weather of planetary…

Solar and Stellar Astrophysics · Physics 2022-03-23 Yuxi , Lu , Ruth Angus , Marcel A. ~Agüeros , Kirsten Blancato , Melissa Ness , Jason L. ~Curtis , Sam Grunblatt

It is well-known that polynomial reproduction is not possible when approximating with Gaussian kernels. Quasi-interpolation schemes have been developed which use a finite number of Gaussians at different scales, which then reproduce…

Numerical Analysis · Mathematics 2020-01-24 Simon Hubbert , Jeremy Levesley

We have searched the Kepler light curves of ~3900 M-star targets for evidence of periodicities that indicate, by means of the effects of starspots, rapid stellar rotation. Several analysis techniques, including Fourier transforms,…

Solar and Stellar Astrophysics · Physics 2015-06-19 S. Rappaport , J. Swift , A. Levine , M. Joss , R. Sanchis-Ojeda , T. Barclay , M. Still , G. Handler , K. Oláh , P. S. Muirhead , D. Huber , K. Vida

This study applied machine learning models to estimate stellar rotation periods from corrected light curve data obtained by the NASA Kepler mission. Traditional methods often struggle to estimate rotation periods accurately due to noise and…

Solar and Stellar Astrophysics · Physics 2024-09-10 Fatemeh Fazel Hesar , Bernard Foing , Ana M. Heras , Mojtaba Raouf , Victoria Foing , Shima Javanmardi , Fons J. Verbeek

Recent re-determination of stellar atmospheric parameters for a sample of stars observed during the {\it Kepler} mission allowed to enlarge the number of {\it Kepler} B-type stars. We present the detailed frequency analysis for all these…

Solar and Stellar Astrophysics · Physics 2021-03-19 Wojciech Szewczuk , Przemysław Walczak , Jadwiga Daszyńska-Daszkiewicz

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

Classical Be stars are an enigmatic subclass of rapidly rotating hot stars characterized by dense equatorial disks of gas that have been inferred to orbit with Keplerian velocities. Although these disks seem to be ejected from the star and…

Solar and Stellar Astrophysics · Physics 2009-10-02 Steven R. Cranmer

We present a large sample of stellar rotation periods for Kepler Objects of Interest (KOIs), based on three years of public Kepler data. These were measured by detecting periodic photometric modulation caused by star spots, using an…

Earth and Planetary Astrophysics · Physics 2015-06-16 Amy McQuillan , Tsevi Mazeh , Suzanne Aigrain

There are more than 5000 confirmed and validated planets beyond the solar system to date, more than half of which were discovered by NASA's Kepler mission. The catalog of Kepler's exoplanet candidates has only been extensively analyzed…

Earth and Planetary Astrophysics · Physics 2024-01-25 Michael R. B. Matesic , Jason F. Rowe , John H. Livingston , Shishir Dholakia , Daniel Jontof-Hutter , Jack J. Lissauer

Aims: Stellar activity may complicate the analysis of high-precision radial-velocity spectroscopic data when looking for exoplanets signatures. We aim at quantifying the impact of stellar spots on stars with various spectral types and…

Astrophysics · Physics 2009-11-13 Morgan Desort , Anne-Marie Lagrange , Franck Galland , Stephane Udry , Michel Mayor

Rotation plays a key role in stellar structure and its evolution. Through transport processes which induce rotational mixing of chemical species and the redistribution of angular momentum, internal stellar rotation influences the…

Solar and Stellar Astrophysics · Physics 2015-06-12 P. G. Beck , J. De Ridder , C. Aerts , T. Kallinger , S. Hekker , R. A. Garcia , B. Mosser , G. R. Davies

The NASA Kepler mission has observed more than 190,000 stars in the constellations of Cygnus and Lyra. Around 4 years of almost continuous ultra high-precision photometry have been obtained reaching a duty cycle higher than 90% for many of…

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