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We propose an information criterion for determining an unknown number of periodic components in functional time series. Identifying the number of frequencies in large-scale time series has been a central focus. To achieve this goal, we…

Methodology · Statistics 2026-03-24 Rinka Sagawa , Yan Liu , Valentin Patilea

We carry out a comparative analysis of the performance of three algorithms widely used to identify significant periodicities in radial-velocity (RV) datasets: the Generalised Lomb-Scargle Periodogram (GLS), its modified version based on…

Earth and Planetary Astrophysics · Physics 2017-05-10 M. Pinamonti , A. Sozzetti , A. S. Bonomo , M. Damasso

Change-points in time series data are usually defined as the time instants at which changes in their properties occur. Detecting change-points is critical in a number of applications as diverse as detecting credit card and insurance frauds,…

Signal Processing · Electrical Eng. & Systems 2021-09-10 André Ferrari , Cédric Richard , Anthony Bourrier , Ikram Bouchikhi

From an examination of ~18,000 Kepler light curves of K- and M-stars we find some 500 which exhibit rotational periods of less than 2 days. Among such stars, approximately 50 show two or more incommensurate periodicities. We discuss the…

Solar and Stellar Astrophysics · Physics 2016-02-05 Katalin Oláh , Saul Rappaport , Matthew Joss

Dramatically improved data from observatories like the CoRoT and Kepler spacecraft have recently facilitated nonlinear time series analysis and phenomenological modeling of variable stars, including the search for strange (aka fractal) or…

Solar and Stellar Astrophysics · Physics 2016-08-03 John F. Lindner , Vivek Kohar , Behnam Kia , Michael Hippke , John G. Learned , William L. Ditto

This work studies the significance of the lightcurve intrinsic variability in the numerical modeling of contact binaries. Using synthetic light curves we are showing that the starspot-based intrinsic variability increases the apparent mass…

Solar and Stellar Astrophysics · Physics 2022-10-05 B. Debski

The subject of this paper is a quantification of the information content of cosmological probes of the large-scale structures, specifically of temperature and polarisation anisotropies in the cosmic microwave background, CMB-lensing, weak…

Cosmology and Nongalactic Astrophysics · Physics 2020-05-06 Ana Marta Pinho , Robert Reischke , Marie Teich , Björn Malte Schäfer

This paper describes the VARTOOLS program, which is an open-source command-line utility, written in C, for analyzing astronomical time-series data, especially light curves. The program provides a general-purpose set of tools for processing…

Instrumentation and Methods for Astrophysics · Physics 2016-05-24 Joel D. Hartman , Gáspár Á Bakos

Context: The detection and identification of oscillation modes (in terms of their $\ell$, $m$ and successive $n$) is a great challenge for present and future asteroseismic space missions. The "peak tagging" is an important step in the…

Astrophysics · Physics 2009-11-11 P. Lambert , S. Pires , J. Ballot , R. A. Garcia , J. -L. Starck , S. Turck-Chieze

Context. Modern space telescopes are currently providing high-precision light curves for a large fraction of the sky, such that many new variable stars are being discovered. However, some stars have periodic variability with periods of…

Solar and Stellar Astrophysics · Physics 2019-08-28 Dominic M. Bowman , Daniel L. Holdsworth

We describe the construction of a highly reliable sample of approximately 7,000 optically faint periodic variable stars with light curves obtained by the asteroid survey LINEAR across 10,000 sq.deg of northern sky. Majority of these…

We have generated accurate V and I template light curves using a combination of Fourier decomposition and principal component analysis for a large sample of Cepheid light curves. Unlike previous studies, we include short period Cepheids and…

Solar and Stellar Astrophysics · Physics 2009-11-13 Peter Yoachim , Les P. McCommas , Julianne J. Dalcanton , Benjamin F. Williams

We present an analysis of multifrequency light curves of the sources 2223-052 (3C 446), 2230+114 (CTA 102), and 2251+158 (3C 454.3), which had shown evidence of quasi-periodic activity. The analysis made use of data from the University of…

Astrophysics · Physics 2009-11-13 N. A. Kudryavtseva , T. B. Pyatunina

Significant (marginal) detections of periodic signals have been recently reported in 3 (4) Active Galactic Nuclei. Three of the detections were obtained from long EUVE light curves of moderate-luminosity Seyfert galaxies; the fourth was…

Astrophysics · Physics 2009-11-10 Karen M. Leighly

The period of pulsation and the structure of the light curve for Cepheid and RR Lyrae variables depend on the fundamental parameters of the star: mass, radius, luminosity, and effective temperature. Here we train artificial neural networks…

Solar and Stellar Astrophysics · Physics 2020-01-08 Earl P. Bellinger , Shashi M. Kanbur , Anupam Bhardwaj , Marcella Marconi

Several statistical approaches based on reproducing kernels have been proposed to detect abrupt changes arising in the full distribution of the observations and not only in the mean or variance. Some of these approaches enjoy good…

Statistics Theory · Mathematics 2017-10-13 Alain Celisse , Guillemette Marot , Morgane Pierre-Jean , Guillem Rigaill

Studying photometric time series in the frequency domain can serve as a means of detecting rotational modulations, measuring asteroseismic modes and even detecting short-period transiting planets. To our knowledge, there is no prior archive…

Earth and Planetary Astrophysics · Physics 2018-05-07 David Kipping

When inspecting information visualizations under time critical settings, such as emergency response or monitoring the heart rate in a surgery room, the user only has a small amount of time to view the visualization "at a glance". In these…

Human-Computer Interaction · Computer Science 2018-11-09 Gabriel Ryan , Abigail Mosca , Remco Chang , Eugene Wu

In this study, we demonstrate some of the caveats in common statistical methods used for analysing astronomical variability timescales. We consider these issues specifically in the context of active galactic nuclei (AGNs) and use a more…

Astrophysics of Galaxies · Physics 2024-12-12 Sofia Kankkunen , Merja Tornikoski , Talvikki Hovatta

A sizeable fraction of gamma-ray burst (GRB) light curves (LCs) features a sequence of peaks, which holds information on the unknown way energy is dissipated into gamma-rays over time. Traditional searches for periodic signals in GRB LCs…

High Energy Astrophysical Phenomena · Physics 2025-05-21 C. Guidorzi , M. Orlandini , R. Maccary , L. Amati , L. Bazzanini , M. Bulla , L. Ferro , F. Frontera , M. Maistrello , W. -J. Tan , A. Tsvetkova , S. L. Xiong , S. N. Zhang