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Context. The analysis of stellar oscillations is one of the most reliable ways to probe stellar interiors. Recent space missions such as Kepler have provided us with an opportunity to study these oscillations with unprecedented detail. For…

Solar and Stellar Astrophysics · Physics 2015-01-21 T. Van Reeth , A. Tkachenko , C. Aerts , P. I. Papics , P. Degroote , J. Debosscher , K. Zwintz , S. Bloemen , K. De Smedt , M. Hrudkova , G. Raskin , H. Van Winckel

Spectral bifurcation diagrams (SBDs) have recently emerged as an efficient tool for identifying dynamical transitions in nonlinear systems through frequency-domain analysis. Previous studies have been limited to numerical investigations,…

Chaotic Dynamics · Physics 2026-05-04 Suvradip Maity , Debajyoti Guha , Soumitro Banerjee

This paper studies the unsupervised change point detection problem in time series of networks using the Separable Temporal Exponential-family Random Graph Model (STERGM). Inherently, dynamic network patterns are complex due to dyadic and…

Methodology · Statistics 2025-09-01 Yik Lun Kei , Hangjian Li , Yanzhen Chen , Oscar Hernan Madrid Padilla

Motivated by applications in high-dimensional data analysis where strong signals often stand out easily and weak ones may be indistinguishable from the noise, we develop a statistical framework to provide a novel categorization of the data…

Methodology · Statistics 2013-05-02 X. Jessie Jeng

We present the first results of the application of supervised classification methods to the Kepler Q1 long-cadence light curves of a subsample of 2288 stars measured in the asteroseismology program of the mission. The methods, originally…

Anomaly detection (AD) under data contamination is critical for deploying unsupervised defect detection in industrial environments, where curating perfectly clean training sets is impractical. However, existing methods are sensitive to…

Computer Vision and Pattern Recognition · Computer Science 2026-05-27 Sirojbek Safarov , Jaewoo Park , Yoon Gyo Jung , Kuan-Chuan Peng , Wonchul Kim , Seongdeok Bang , Octavia Camps

With the widespread availability of sensor data across industrial and operational systems, we frequently encounter heterogeneous time series from multiple systems. Anomaly detection is crucial for such systems to facilitate predictive…

Machine Learning · Computer Science 2025-04-22 Sarah Alnegheimish , Zelin He , Matthew Reimherr , Akash Chandrayan , Abhinav Pradhan , Luca D'Angelo

Stars of low and intermediate mass that exhibit oscillations may show tens of detectable oscillation modes each. Oscillation modes are a powerful to constrain the internal structure and rotational dynamics of the star, hence tool allowing…

Instrumentation and Methods for Astrophysics · Physics 2020-09-02 E. Corsaro , J. M. McKeever , J. S. Kuszlewicz

Having a need to perform differential photometry for tens of thousands stars in a several square degrees field, we developed Astrokit program. The software corrects the star brightness variations caused by variations of atmospheric…

Instrumentation and Methods for Astrophysics · Physics 2015-06-22 Artem Y. Burdanov , Vadim V. Krushinsky , Alexander A. Popov

From pulsating stars to transiting exoplanets, the search for periodic signals in K2 data, Kepler's 2-wheeled extension, is relevant to a long list of scientific goals. Systematics affecting K2 light curves due to the decreased spacecraft…

Solar and Stellar Astrophysics · Physics 2016-02-17 Ruth Angus , Daniel Foreman-Mackey , John A. Johnson

The Variable Bandpass Periodic Block Bootstrap(VBPBB) is an innovative method for time series with periodically correlated(PC) components. This method applies bandpass filters to extract specific PC components from datasets, effectively…

Methodology · Statistics 2025-09-25 Yanan Sun , Eric Rose , Kai Zhang , Edward Valachovic

Change point detection for time series analysis is a difficult and important problem in applied statistics, for which a variety of approaches have been developed in the past several decades. Here, the Wasserstein metric is employed as a…

Statistics Theory · Mathematics 2026-03-03 David Gentile , Joshua Huang , James M. Murphy

To assist in the development of machine learning methods for automated classification of spectroscopic data, we have generated a universal synthetic dataset that can be used for model validation. This dataset contains artificial spectra…

Machine Learning · Computer Science 2022-06-15 Jan Schuetzke , Nathan J. Szymanski , Markus Reischl

This article introduces a nonparametric approach to spectral analysis of a high-dimensional multivariate nonstationary time series. The procedure is based on a novel frequency-domain factor model that provides a flexible yet parsimonious…

Methodology · Statistics 2019-10-29 Zeda Li , Ori Rosen , Fabio Ferrarelli , Robert T. Krafty

Abstract abridged. Eclipsing binary systems provide the opportunity to measure the fundamental parameters of their component stars in a stellar-model-independent way. This makes them ideal candidates for testing and calibrating theories of…

Instrumentation and Methods for Astrophysics · Physics 2024-02-12 Luc W. IJspeert , Andrew Tkachenko , Cole Johnston , Andrej Prša , Mark A. Wells , Conny Aerts

Nowadays, multivariate time series data are increasingly collected in various real world systems, e.g., power plants, wearable devices, etc. Anomaly detection and diagnosis in multivariate time series refer to identifying abnormal status in…

Since with massive data growth, the need for autonomous and generic anomaly detection system is increased. However, developing one stand-alone generic anomaly detection system that is accurate and fast is still a challenge. In this paper,…

Machine Learning · Computer Science 2018-12-03 Sooyeon Lee , Huy Kang Kim

In the analysis of variable stars, the problem of sampling is central. This article focusses on the determination of the Nyquist frequency. It is well defined in the case of regular sampling. However, the time series of variable stars…

Astrophysics · Physics 2009-10-30 L. Eyer , P. Bartholdi

Efficient anomaly detection and diagnosis in multivariate time-series data is of great importance for modern industrial applications. However, building a system that is able to quickly and accurately pinpoint anomalous observations is a…

Machine Learning · Computer Science 2022-05-17 Shreshth Tuli , Giuliano Casale , Nicholas R. Jennings