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Why do we write this note? It is erroneous to pretend to extract physical information from the experimental light curves (time series) of astrophysical systems by means of linear stochastic differential equations (LSDE). In general, the…

Instrumentation and Methods for Astrophysics · Physics 2019-01-11 R. Vio , P. Andreani

Multiple-frequency periodograms -- based on time series models consisting of two or more independent sinusoids -- have long been discussed. What is new here is the presentation of a practical, simple-to-use computational framework…

Instrumentation and Methods for Astrophysics · Physics 2026-01-09 Jeffrey D. Scargle , Sarah Wagner

Investigating the relationship, particularly the lead-lag effect, between time series is a common question across various disciplines, especially when uncovering biological process. However, analyzing time series presents several…

This paper derives practical algorithms, based on Bayesian inference methods, for several data analysis problems common in time series analysis of astronomical and other data. One problem is the determination of the lag between two time…

Numerical Analysis · Mathematics 2025-10-20 Jeffrey D. Scargle

We present a new approach to the analysis of time symmetry in light curves, such as those in the x-ray at the center of the Scorpius X-1 occultation debate. Our method uses a new parameterization for such events (the bilogistic event…

Instrumentation and Methods for Astrophysics · Physics 2011-02-11 Alexander W. Blocker , Pavlos Protopapas , Charles R. Alcock

Context. Distinguishing between a signal induced by either stellar activity or a planet is currently the main challenge in radial velocity searches for low-mass exoplanets. Even when the presence of a transiting planet and hence its period…

Earth and Planetary Astrophysics · Physics 2017-05-17 A. Mortier , A. Collier Cameron

We use numerical simulations to test a broad range of plausible observational strategies designed to measure the time delay between the images of gravitationally lensed quasars. Artificial quasar light curves are created along with…

Astrophysics · Physics 2009-11-10 A. Eigenbrod , F. Courbin , C. Vuissoz , G. Meylan , P. Saha , S. Dye

We apply a distance-based Bell-test analysis method [E. Knill et al., Phys. Rev. A. 91, 032105 (2015)] to three experimental data sets where conventional analyses failed or required additional assumptions. The first is produced from a new…

Quantum Physics · Physics 2015-10-28 B. G. Christensen , A. Hill , P. G. Kwiat , E. Knill , S. W. Nam , K. Coakley , S. Glancy , L. K. Shalm , Y. Zhang

The method to estimate the predictability of human mobility was proposed in [C. Song \emph{et al.}, Science {\bf 327}, 1018 (2010)], which is extensively followed in exploring the predictability of disparate time series. However, the…

Physics and Society · Physics 2019-03-27 Paiheng Xu , Likang Yin , Zhongtao Yue , Tao Zhou

Marginal expected shortfall (MES) is an important measure when assessing and quantifying the contribution of the financial institution to a systemic crisis. In this paper, we propose time-lagged marginal expected shortfall (TMES) as a…

Methodology · Statistics 2025-05-08 Jiajun Liu , Xuannan Liu , Yuwei Zhao

Data from the Transiting Exoplanet Survey Satellite (TESS) has produced of order one million light curves at cadences of 120 s and especially 1800 s for every ~27-day observing sector during its two-year nominal mission. These data…

Traditional time series analysis has long relied on pattern recognition, trained on static and well-established benchmarks. However, in real-world settings -- where policies shift, human behavior adapts, and unexpected events unfold --…

Artificial Intelligence · Computer Science 2025-10-16 Xinlei Wang , Mingtian Tan , Jing Qiu , Junhua Zhao , Jinjin Gu

This work develops central limit theorems for cross-validation and consistent estimators of its asymptotic variance under weak stability conditions on the learning algorithm. Together, these results provide practical, asymptotically-exact…

Machine Learning · Statistics 2020-11-03 Pierre Bayle , Alexandre Bayle , Lucas Janson , Lester Mackey

I present an homogeneous analysis of the transit light curves of 14 well-observed transiting extrasolar planets. The light curves are modelled using JKTEBOP, random errors are measured using Monte Carlo simulations, and the effects of…

Astrophysics · Physics 2009-11-13 John Southworth

The linear complexity (LC) of a sequence has been used as a convenient measure of the randomness of a sequence. Based on the theories of linear complexity, $k$-error linear complexity, the minimum error and the $k$-error linear complexity…

Cryptography and Security · Computer Science 2011-09-22 Jianqin Zhou , Wei Xiong

Starspots are cooler and darker than the stellar surface. Therefore, the emitted flux of a star changes when spots are visible on its surface. The presence of spots together with the stellar rotation leads to a periodic modulation on the…

Solar and Stellar Astrophysics · Physics 2017-11-08 A. R. G. Santos , M. S. Cunha , P. P. Avelino , R. A. García , S. Mathur

Methods for interpreting machine learning black-box models increase the outcomes' transparency and in turn generates insight into the reliability and fairness of the algorithms. However, the interpretations themselves could contain…

Machine Learning · Computer Science 2019-06-05 Yujia Zhang , Kuangyan Song , Yiming Sun , Sarah Tan , Madeleine Udell

The Period--Luminosity relation (PLR) of Mira variable stars is an important tool to determine astronomical distances. The common approach of estimating the PLR is a two-step procedure that first estimates the Mira periods and then runs a…

Applications · Statistics 2022-12-14 Shiyuan He , Zhenfeng Lin , Wenlong Yuan , Lucas M. Macri , Jianhua Z. Huang

Context. Frequency analyses are very important in astronomy today, not least in the ever-growing field of exoplanets, where short-period signals in stellar radial velocity data are investigated. Periodograms are the main (and powerful)…

Instrumentation and Methods for Astrophysics · Physics 2015-01-14 A. Mortier , J. P. Faria , C. M. Correia , A. Santerne , N. C. Santos

Thanks to missions like Kepler and TESS, we now have access to tens of thousands of high precision, fast cadence, and long baseline stellar photometric observations. In principle, these light curves encode a vast amount of information about…

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