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[Abridged] We present the results of a highly parallel Kepler equation solver using the Graphics Processing Unit (GPU) on a commercial nVidia GeForce 280GTX and the "Compute Unified Device Architecture" programming environment. We apply…

Astrophysics · Physics 2008-12-17 Eric B. Ford

Gaussian processes (GPs) are ubiquitous tools for modeling and predicting continuous processes in physical and engineering sciences. This is partly due to the fact that one may employ a Gaussian process as an interpolator while facilitating…

Statistics Theory · Mathematics 2025-12-16 D. Andrew Brown , Peter Kiessler , John Nicholson

Detecting planetary signatures in radial velocity time-series of young stars is challenging due to their inherently strong stellar activity. However, it is possible to learn information about the properties of the stellar signal by using…

In astronomy, we are witnessing an enormous increase in the number of source detections, precision, and diversity of measurements. Additionally, multi-epoch data is becoming the norm, making time-series analyses an important aspect of…

Instrumentation and Methods for Astrophysics · Physics 2019-11-22 Laurent Eyer , Maria Süveges , Joris De Ridder , Sara Regibo , Nami Mowlavi , Berry Holl , Lorenzo Rimoldini , Francois Bouchy

Gaussian Processes (GPs) are powerful non-parametric Bayesian models for regression of scalar fields, formulated under the assumption that measurement locations are perfectly known and the corresponding field measurements have Gaussian…

Robotics · Computer Science 2026-01-29 Muzaffar Qureshi , Tochukwu Elijah Ogri , Kyle Volle , Rushikesh Kamalapurkar

Here we present juliet, a versatile tool for the analysis of transits, radial-velocities, or both. juliet is built over many available tools for the modelling of transits, radial-velocities and stochastic processes (here modelled as…

Earth and Planetary Astrophysics · Physics 2019-11-06 Néstor Espinoza , Diana Kossakowski , Rafael Brahm

Despite a large corpus of recent work on scaling up Gaussian processes, a stubborn trade-off between computational speed, prediction and uncertainty quantification accuracy, and customizability persists. This is because the vast majority of…

Machine Learning · Computer Science 2025-12-09 Marcus M. Noack , Mark D. Risser , Hengrui Luo , Vardaan Tekriwal , Ronald J. Pandolfi

Stellar activity remains a limiting factor in measuring precise planet parameters from radial velocity spectroscopy, not least in the search for Earth mass planets orbiting in the habitable zones of Sun-like stars. One approach to mitigate…

Earth and Planetary Astrophysics · Physics 2020-05-27 Molly R. Kosiarek , Ian J. M. Crossfield

Gaussian processes (GPs) are powerful and widely used probabilistic regression models, but their effectiveness in practice is often limited by the choice of kernel function. This kernel function is typically handcrafted from a small set of…

Machine Learning · Computer Science 2026-02-13 Jihao Andreas Lin , Sebastian Ament , Louis C. Tiao , David Eriksson , Maximilian Balandat , Eytan Bakshy

The Gaussian process (GP) is a popular statistical technique for stochastic function approximation and uncertainty quantification from data. GPs have been adopted into the realm of machine learning in the last two decades because of their…

Machine Learning · Statistics 2024-10-02 Marcus M. Noack , Hengrui Luo , Mark D. Risser

We present a new, simple method to predict activity-induced radial velocity variations using high-precision time-series photometry. It is based on insights from a simple spot model, has only two free parameters (one of which can be…

Solar and Stellar Astrophysics · Physics 2015-05-30 S. Aigrain , F. Pont , S. Zucker

Gaussian processes (GPs) have become a common tool in astronomy for analysing time series data, particularly in exoplanet science and stellar astrophysics. However, choosing the appropriate covariance structure for a GP model remains a…

Instrumentation and Methods for Astrophysics · Physics 2025-05-28 Christopher Boettner

Precise exoplanet characterization requires precise classification of exoplanet host stars. The masses of host stars are commonly estimated by comparing their spectra to those predicted by stellar evolution models. However,…

Solar and Stellar Astrophysics · Physics 2015-06-12 Benjamin T. Montet , John Asher Johnson

Stellar magnetic activity produces time-varying distortions in the photospheric line profiles of solar-type stars. These lead to systematic errors in high-precision radial-velocity measurements, which limit efforts to discover and measure…

General requirements for radar digital signal processing are ionospheric distortion and Doppler dispersion correction, which has historically required radar-specific hardware to implement in real time. Although analog solutions are…

Signal Processing · Electrical Eng. & Systems 2025-09-30 Daniel J. Vickers , A. H. Mack , Idahosa A. Osaretin

The radial-velocity (RV) method is one of the most successful in the detection of exoplanets, but is hindered by the intrinsic RV variations of the star, which can easily mimic or hide true planetary signals. kima is a package for the…

Instrumentation and Methods for Astrophysics · Physics 2018-06-22 J. P. Faria , N. C. Santos , P. Figueira , B. J. Brewer

Radial velocity (RV) follow-up is a critical complement of transiting exoplanet surveys like the Transiting Exoplanet Survey Satellite (TESS ), both for validating discoveries of exoplanets and measuring their masses. Stellar activity…

Earth and Planetary Astrophysics · Physics 2024-09-02 Christopher Lam , Megan Bedell , Lily L. Zhao , Arvind F. Gupta , Sarah A. Ballard

Accurately modeling effects from stellar activity is a key step in detecting radial velocity signals of low-mass and long-period exoplanets. Radial velocities from stellar activity are dominated by magnetic active regions that move in and…

Earth and Planetary Astrophysics · Physics 2020-01-08 Chantanelle Nava , Mercedes López-Morales , Raphaëlle D. Haywood , Helen A. C. Giles

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

We present Gravity.jl, a new software for the modeling of gravitational lens systems. Gravity.jl is written in the Julia programming language, and is designed to be fast, accurate, and flexible. It can be used to model gravitational lens…

Instrumentation and Methods for Astrophysics · Physics 2024-10-23 Marco Lombardi