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This study is motivated by the problem of evaluating reliable false alarm (FA) rates for sinusoid detection tests applied to unevenly sampled time series involving colored noise, when a (small) training data set of this noise is available.…

应用统计 · 统计学 2017-11-10 Sophia Sulis , David Mary , Lionel Bigot

The estimation of periodicity is a fundamental task in many scientific areas of study. Existing methods rely on theoretical assumptions that the observation times have equal or i.i.d. spacings, and that common estimators, such as the…

统计方法学 · 统计学 2021-06-01 Panos Toulis , Jacob Bean

The periodogram is a popular tool that tests whether a signal consists only of noise or if it also includes other components. The main issue of this method is to define a critical detection threshold that allows identification of a…

宇宙学与河外天体物理 · 物理学 2015-05-19 R. Vio , P. Andreani , A. Biggs

Periodograms are common tools used to search for periodic signals in unevenly spaced time series. The significance of periodogram peaks is often assessed using false alarm probability (FAP), which in most studies assumes uncorrelated noise…

天体物理仪器与方法 · 物理学 2020-03-11 J. -B. Delisle , N. Hara , D. Ségransan

The periodogram is a widely used tool to analyze second order stationary time series. An attractive feature of the periodogram is that the expectation of the periodogram is approximately equal to the underlying spectral density of the time…

统计理论 · 数学 2020-11-03 Sourav Das , Suhasini Subba Rao , Junho Yang

The method of surrogate data is a tool to test whether data were generated by some class of model. Tests based on the periodogram have been proposed to decide if linear systems driven by Gaussian noise could have generated a sample time…

comp-gas · 物理学 2008-02-03 J. Timmer

We address the problem of assessing the statistical significance of candidate periodicities found using the so-called `multi-harmonic' periodogram, which is being used for detection of non-sinusoidal signals, and is based on the…

天体物理学 · 物理学 2009-05-12 Roman V. Baluev

The detection of exoplanets with the radial velocity method consists in detecting variations of the stellar velocity caused by an unseen sub-stellar companion. Instrumental errors, irregular time sampling, and different noise sources…

地球与行星天体物理 · 物理学 2023-09-06 L. A. Nieto , R. F. Díaz

One of the main features of interest in analysing the light curves of stars is the underlying periodic behaviour. The corresponding observations are a complex type of time series with unequally spaced time points and are sometimes…

应用统计 · 统计学 2022-11-21 Efthymia Derezea , Alfred Kume , Dirk Froebrich

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…

天体物理仪器与方法 · 物理学 2026-01-09 Jeffrey D. Scargle , Sarah Wagner

Exoplanet detection by direct imaging is a difficult task: the faint signals from the objects of interest are buried under a spatially structured nuisance component induced by the host star. The exoplanet signals can only be identified when…

天体物理仪器与方法 · 物理学 2023-06-22 Olivier Flasseur , Théo Bodrito , Julien Mairal , Jean Ponce , Maud Langlois , Anne-Marie Lagrange

Astrophysical time series often contain periodic signals. The large and growing volume of time series data from photometric surveys demands computationally efficient methods for detecting and characterizing such signals. The most efficient…

天体物理仪器与方法 · 物理学 2021-02-09 John Hoffman , Jacob Vanderplas , Joel Hartman , Gaspar Bakos

The detection of periodic signals in irregularly-sampled time series is a problem commonly encountered in astronomy. Traditional tools used for periodic searches, such as the periodogram, have poorly defined statistical properties under…

天体物理仪器与方法 · 物理学 2025-01-13 A. Gúrpide , M. Middleton

The detection of small exoplanets with the radial velocity (RV) technique is limited by various poorly known noise sources of instrumental and stellar origin. As a consequence, current detection techniques often fail to provide reliable…

地球与行星天体物理 · 物理学 2022-11-16 S. Sulis , D. Mary , L. Bigot , M. Deleuil

Surveys for exoplanetary transits are usually limited not by photon noise but rather by the amount of red noise in their data. In particular, although the CoRoT spacebased survey data are being carefully scrutinized, significant new sources…

We demonstrate a simple method for testing the significance of peaks in the periodogram of red noise data. The procedure was designed to test for spurious periodicities in X-ray light curves of active galaxies, but can be used quite…

天体物理学 · 物理学 2009-11-10 S. Vaughan

The ability to characterize the state of dynamic systems has been a pertinent task in the time series analysis community. Traditional measures such as Lyapunov exponents are often times difficult to recover from noisy data, especially if…

信号处理 · 电气工程与系统科学 2020-12-21 Joshua Tempelman , Audun Myers , Jeffrey Scruggs , Firas Khasawneh

Noisy labels are ubiquitous in real-world datasets, which poses a challenge for robustly training deep neural networks (DNNs) as DNNs usually have the high capacity to memorize the noisy labels. In this paper, we find that the test accuracy…

机器学习 · 计算机科学 2019-05-14 Pengfei Chen , Benben Liao , Guangyong Chen , Shengyu Zhang

The search for radio signals from exoplanets or star-planet interactions is a topic of major scientific interest, as it is likely the best way to detect and measure a planetary magnetic field and, therefore, to probe the inner structure of…

地球与行星天体物理 · 物理学 2026-03-11 C. K. Louis , A. Loh , P. Zarka , L. Lamy , E. Mauduit , J. N. Girard , J. -M. Griessmeier , B. Cecconi , Q. Nénon , S. Corbel

Consistency regularization is a commonly-used technique for semi-supervised and self-supervised learning. It is an auxiliary objective function that encourages the prediction of the network to be similar in the vicinity of the observed…

机器学习 · 计算机科学 2021-10-05 Erik Englesson , Hossein Azizpour
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