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By using subsets of the HATNet and K2 (Kepler two-wheel) Campaign 1 databases, we examine the effectiveness of filtering out systematics from photometric time series while simultaneously searching for periodic signals. We carry out tests to…

Instrumentation and Methods for Astrophysics · Physics 2015-12-16 Geza Kovacs , Joel D. Hartman , Gaspar A. Bakos

In this work the significance of treating a set of measurements as a time series is being explored. Time Series Analysis (TSA) techniques, part of the Exploratory Data Analysis (EDA) approach, can provide much insight regarding the…

Data Analysis, Statistics and Probability · Physics 2012-03-01 Dimitra Georgakaki , Chris Mitsas , Hariton Polatoglou

Background: Human gait exhibits complex fractal fluctuations among consecutive strides. The time series of gait parameters are long-range correlated (statistical persistence). In contrast, when gait is synchronized with external rhythmic…

Quantitative Methods · Quantitative Biology 2020-08-17 Philippe Terrier

The aim of this paper is to describe a novel non-parametric noise reduction technique from the point of view of Bayesian inference that may automatically improve the signal-to-noise ratio of one- and two-dimensional data, such as e.g.…

Instrumentation and Methods for Astrophysics · Physics 2023-07-07 Pablo M Sanchez-Alarcon , Yago Ascasibar Sequeiros

We develop a method for planet detection in transit data, which is based on the Matched Filter technique, combined with the Gaussianization of the noise outliers. The method is based on Fourier transforms and is as fast as the existing…

Earth and Planetary Astrophysics · Physics 2021-05-12 Jakob Robnik , Uroš Seljak

Tabular anomaly detection (TAD) aims to identify samples that deviate from the majority in tabular data and is critical in many real-world applications. However, existing methods follow a ``one model for one dataset (OFO)'' paradigm, which…

Machine Learning · Computer Science 2026-03-17 Shiyuan Li , Yixin Liu , Yu Zheng , Xiaofeng Cao , Shirui Pan , Heng Tao Shen

We examine the Detrended Fluctuation Analysis (DFA), which is a well-established method for the detection of long-range correlations in time series. We show that deviations from scaling that appear at small time scales become stronger in…

Statistical Mechanics · Physics 2009-11-07 Jan W. Kantelhardt , Eva Koscielny-Bunde , Henio H. A. Rego , Shlomo Havlin , Armin Bunde

More powerful feature representations derived from deep neural networks benefit visual tracking algorithms widely. However, the lack of exploitation on temporal information prevents tracking algorithms from adapting to appearances changing…

Computer Vision and Pattern Recognition · Computer Science 2019-08-05 Tao Hu , Lichao Huang , Xianming Liu , Han Shen

Periodicity detection is an important task in time series analysis, but still a challenging problem due to the diverse characteristics of time series data like abrupt trend change, outlier, noise, and especially block missing data. In this…

Machine Learning · Computer Science 2023-03-08 Qingsong Wen , Linxiao Yang , Liang Sun

We perform a comparative study of applicability of the Multifractal Detrended Fluctuation Analysis (MFDFA) and the Wavelet Transform Modulus Maxima (WTMM) method in proper detecting of mono- and multifractal character of data. We quantify…

Other Condensed Matter · Physics 2008-12-18 Pawel Oswiecimka , Jaroslaw Kwapien , S. Drozdz

Detrended fluctuation analysis (DFA) and detrended moving average (DMA) are two scaling analysis methods designed to quantify correlations in noisy non-stationary signals. We systematically study the performance of different variants of the…

Other Condensed Matter · Physics 2009-11-10 L. Xu , P. Ch. Ivanov , K. Hu , Z. Chen , A. Carbone , H. E. Stanley

Time-varying phenomena are one of the most substantial sources of astrophysical information and their study has led to many fundamental discoveries in modern astronomy. We have developed an automated tool to search and analyze variable…

Piecewise Aggregate Approximation (PAA) is a competitive basic dimension reduction method for high-dimensional time series mining. When deployed, however, the limitations are obvious that some important information will be missed,…

Machine Learning · Computer Science 2019-07-02 Chunkai Zhang , Yingyang Chen , Ao Yin , Zhen Qin , Xing Zhang , Keli Zhang , Zoe L. Jiang

The expert system for time series analysis of irregularly spaced signals is reviewed. It consists of a number of complementary algorithms and programs, which may be effective for different types of variability. Obviously, for a pure sine…

Solar and Stellar Astrophysics · Physics 2020-09-24 Ivan L. Andronov , Lidia L. Chinarova

Principal Component Analysis (PCA) is being extensively used in Astronomy but not yet exhaustively exploited for variability search. The aim of this work is to investigate the effectiveness of using the PCA as a method to search for…

Instrumentation and Methods for Astrophysics · Physics 2018-04-04 M. I. Moretti , D. Hatzidimitriou , A. Karampelas , K. V. Sokolovsky , A. Z. Bonanos , P. Gavras , M. Yang

The search for patterns or motifs in data represents an area of key interest to many researchers. In this paper we present the Motif Tracking Algorithm, a novel immune inspired pattern identification tool that is able to identify unknown…

Artificial Intelligence · Computer Science 2010-07-05 William O. Wilson , Jan Feyereisl , Uwe Aickelin

Dynamic textures exist in various forms, e.g., fire, smoke, and traffic jams, but recognizing dynamic texture is challenging due to the complex temporal variations. In this paper, we present a novel approach stemmed from slow feature…

Computer Vision and Pattern Recognition · Computer Science 2017-06-12 Jie Miao , Xiangmin Xu , Xiaofen Xing , Dacheng Tao

With a laser interferometric gravitational-wave detector in separate free flying spacecraft, the only way to achieve detection is to mitigate the dominant noise arising from the frequency fluctuations of the lasers via postprocessing. The…

General Relativity and Quantum Cosmology · Physics 2022-04-27 Quentin Baghi , John Baker , Jacob Slutsky , James Ira Thorpe

The paper addresses a sequential changepoint detection problem, assuming that the duration of change may be finite and unknown. This problem is of importance for many applications, e.g., for signal and image processing where signals appear…

Statistics Theory · Mathematics 2021-06-09 Alexander G. Tartakovsky , Nikita R. Berenkov , Alexei E. Kolessa , Igor V. Nikiforov

In this letter, some applications of wireless communication systems over $\alpha-\eta-\kappa-\mu$ fading channels are analysed. More specifically, the effective rate and the average of both the detection probability and area under the…

Information Theory · Computer Science 2019-09-17 Hussien Al-Hmood , H. S. Al-Raweshidy
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