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We present a general framework of detrending methods of fluctuation analysis of which detrended fluctuation analysis (DFA) is one prominent example. Another more recently introduced method is detrending moving average (DMA). Both methods…

Statistical Mechanics · Physics 2019-04-03 Marc Höll , Ken Kiyono , Holger Kantz

The matched filter (MF) is widely used to detect signals hidden within the noise. If the noise is Gaussian, its performances are well-known and describable in an elegant analytical form. The treatment of non-Gaussian noises is often…

Instrumentation and Methods for Astrophysics · Physics 2018-08-08 Roberto Vio , Paola Andreani

Detrend fluctuation analysis (DFA) has become a choice method for effective analysis of a broad variety of nonstationary signals. We show in the present article that, provided the nonstationary fluctuations occur at a large enough time…

Quantitative Methods · Quantitative Biology 2007-05-23 Luciano da Fontoura Costa , Ruth Caldeira de Melo , Ester da Silva , Audrey Borghi-Silva , Aparecida Maria Catai

Radio Frequency Interference (RFI) increasingly contaminates the radio astronomy spectrum, often exceeding astronomical signal amplitudes by 50-70 dB. Reliable detection and mitigation are therefore essential for studies of faint transient…

Instrumentation and Methods for Astrophysics · Physics 2026-05-08 Natalia A. Schmid , Sasanka Katreddi , Yechan Kweon

The matrix factorization (MF) technique has been widely adopted for solving the rating prediction problem in recommender systems. The MF technique utilizes the latent factor model to obtain static user preferences (user latent vectors) and…

Social and Information Networks · Computer Science 2015-10-20 Yung-Yin Lo , Wanjiun Liao , Cheng-Shang Chang

Improvement in time resolution sometimes introduces short-range random noises into temporal data sequences. These noises affect the results of power-spectrum analyses and the Detrended Fluctuation Analysis (DFA). The DFA is one of useful…

Data Analysis, Statistics and Probability · Physics 2009-02-05 Shin-ichi Tadaki

[abridged] In large-scale time-domain surveys, the processing of data, from procurement up to the detection of sources, is generally automated. One of the main challenges is contamination by artifacts, especially in regions of strong…

Instrumentation and Methods for Astrophysics · Physics 2017-03-01 Monika D. Soraisam , Marat Gilfanov , Thomas Kupfer , Frank Masci , Allen W. Shafter , Thomas A. Prince , Shrinivas R. Kulkarni , Eran O. Ofek , Eric Bellm

The search for fast optical transients, such as the expected electromagnetic counterparts to binary neutron star mergers, is riddled with false positives ranging from asteroids to stellar flares. While moving objects are readily rejected…

Instrumentation and Methods for Astrophysics · Physics 2017-03-23 A. A. Miller , M. K. Kulkarni , Y. Cao , R. R. Laher , F. J. Masci , J. A. Surace

We adapt the friends of friends algorithm to the analysis of light curves, and show that it can be successfully applied to searches for transient phenomena in large photometric databases. As a test case we search OGLE-III light curves for…

Solar and Stellar Astrophysics · Physics 2018-10-24 M. Rozyczka , W. Narloch , P. Pietrukowicz , I. B. Thompson , W. Pych

We propose a novel multivariate signal denoising method that performs long-range correlation analysis of multiple modes in input data by considering inherent inter-channel dependencies of the data. That is achieved through a novel and…

Signal Processing · Electrical Eng. & Systems 2023-05-04 Khuram Naveed , Sidra Mukhtar , Naveed ur Rehman

We present a novel factor analysis method that can be applied to the discovery of common factors shared among trajectories in multivariate time series data. These factors satisfy a precedence-ordering property: certain factors are recruited…

Machine Learning · Statistics 2011-05-10 Arnau Tibau Puig , Alfred O. Hero

Time series forecasting predicts future values from past data. In real-world settings, some anomalous events have lasting effects and influence the forecast, while others are short-lived and should be ignored. Standard forecasting models…

Machine Learning · Computer Science 2025-12-15 Joel Ekstrand , Zahra Taghiyarrenani , Slawomir Nowaczyk

The Transit Timing Variations (TTVs) technique provides a powerful tool to detect additional planets in transiting exoplanetary systems. In this paper we show how transiting planets with significant TTVs can be systematically missed, or…

Earth and Planetary Astrophysics · Physics 2015-05-28 Enrique Garcia-Melendo , Mercedes Lopez-Morales

This paper presents analysis for target detection using tightly-coupled antenna (TCA) arrays with high mutual coupling (MC). We show that the wide operational bandwidth of TCAs is advantageous for target detection. We assume a sensing…

Signal Processing · Electrical Eng. & Systems 2025-11-04 Erfan Khordad , Peter J. Smith , Sachitha C. Bandara , Rajitha Senanayake , Robert W. Heath

Periodic variables illuminate the physical processes of stars throughout their lifetime. Wide-field surveys continue to increase our discovery rates of periodic variable stars. Automated approaches are essential to identify interesting…

Solar and Stellar Astrophysics · Physics 2022-06-29 H. S. Chan , V. Ashley Villar , S. H. Cheung , Shirley Ho , Anna J. G. O'Grady , Maria R. Drout , Mathieu Renzo

Time series classification (TSC) is crucial in numerous real-world applications, such as environmental monitoring, medical diagnosis, and posture recognition. TSC tasks require models to effectively capture discriminative information for…

Machine Learning · Computer Science 2025-12-10 Da Zhang , Bingyu Li , Zhiyuan Zhao , Yanhan Zhang , Junyu Gao , Feiping Nie , Xuelong Li

This paper presents a comparison of popular period finding algorithms applied to the light curves of variable stars from the Catalina Real-time Transient Survey (CRTS), MACHO and ASAS data sets. We analyze the accuracy of the methods…

Instrumentation and Methods for Astrophysics · Physics 2015-06-16 Matthew J. Graham , Andrew J. Drake , S. G. Djorgovski , Ashish A. Mahabal , Ciro Donalek , Victor Duan , Alison Maher

The ESA global astrometry space mission Gaia has been monitoring the position of a billion stars since 2014. The analysis of such a massive dataset is challenging in terms of the data processing involved. In particular, the blind detection…

Earth and Planetary Astrophysics · Physics 2022-11-30 J. -B. Delisle , D. Ségransan

To understand methodological features of the detrended fluctuation analysis (DFA) using a higher-order polynomial fitting, we establish the direct connection between DFA and Fourier analysis. Based on an exact calculation of the…

Data Analysis, Statistics and Probability · Physics 2015-11-03 Ken Kiyono

The Multi-site All-Sky CAmeRA (MASCARA) aims to find the brightest transiting planet systems by monitoring the full sky at magnitudes $4<V<8.4$, taking data every 6.4 seconds. The northern station has been operational on La Palma since…

Solar and Stellar Astrophysics · Physics 2018-09-19 O. Burggraaff , G. J. J. Talens , J. Spronck , A. -L. Lesage , R. Stuik , G. P. P. L. Otten , V. Van Eylen , D. Pollacco , I. A. G. Snellen