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In many scientific disciplines, the features of interest cannot be observed directly, so must instead be inferred from observed behaviour. Latent variable analyses are increasingly employed to systematise these inferences, and Principal…

We consider the problem of synthetic aperture radar (SAR) imaging and motion estimation of complex scenes. By complex we mean scenes with multiple targets, stationary and in motion. We use the usual setup with one moving antenna emitting…

Information Theory · Computer Science 2015-03-20 Liliana Borcea , Thomas Callaghan , George Papanicolaou

Principal component analysis (PCA) is perhaps the most widely used method for data dimensionality reduction. A key question in PCA is deciding how many factors to retain. This manuscript describes a new approach to automatically selecting…

Methodology · Statistics 2026-02-10 Enes Makalic , Daniel F. Schmidt

Ultralow amplitude (ULA) and strange mode Cepheids are thought to be pulsating variable stars that are near to or are at the edges of the classical instability strip. Until now, a few dozen such variable star candidates have been found both…

Solar and Stellar Astrophysics · Physics 2023-08-02 Dóra Tarczay-Nehéz , László Molnár , Attila Bódi , Róbert Szabó

We present the first application of data-driven techniques for dynamical system analysis based on Koopman theory to variable stars. We focus on light curves of RRLyrae type variables, in the Galactic globular cluster $\omega$ Centauri.…

Solar and Stellar Astrophysics · Physics 2024-07-25 Nicolas Mekhaël , Mario Pasquato , Gaia Carenini , Vittorio F. Braga , Piero Trevisan , Giuseppe Bono , Yashar Hezaveh

Our main objective is to develop a denoising strategy to increase the signal to noise ratio of individual spectral lines of stellar spectropolarimetric observations. We use a multivariate statistics technique called Principal Component…

We submitted the available photometric V data of all the known galactic Double Mode Cepheids (DMCs) to a careful frequency analysis with the aim of detecting in each case the importance of the harmonics and of the cross coupling terms. For…

Astrophysics · Physics 2007-05-23 Ennio Poretti , Ilaria Pardo

With the availability of large-scale surveys like Kepler and TESS, there is a pressing need for automated methods to classify light curves according to known classes of variable stars. We introduce a new algorithm for classifying light…

Solar and Stellar Astrophysics · Physics 2022-06-30 Nicholas H. Barbara , Timothy R. Bedding , Ben D. Fulcher , Simon J. Murphy , Timothy Van Reeth

Principal component analysis (PCA) is a widely used dimension reduction tool in the analysis of many kind of high-dimensional data. It is used in signal processing, mechanical engineering, psychometrics, and other fields under different…

Methodology · Statistics 2014-01-15 Ngoc Mai Tran , Maria Osipenko , Wolfgang Karl Haerdle

During the last decade, a considerable amount of effort has been made to classify variable stars using different machine learning techniques. Typically, light curves are represented as vectors of statistical descriptors or features that are…

Instrumentation and Methods for Astrophysics · Physics 2018-10-31 Carlos Aguirre , Karim Pichara , Ignacio Becker

We describe the results of principal component analysis (PCA) of up-the-ramp sampled IR array data from the HST WFC3 IR, JWST NIRSpec, and prototype WFIRST WFI detectors. These systems use respectively Teledyne H1R, H2RG, and H4RG-10…

Instrumentation and Methods for Astrophysics · Physics 2019-05-01 Bernard J. Rauscher , Richard G. Arendt , D. J. Fixsen , Alexander Kutyrev , Gregory Mosby , S. H. Moseley

The determination of pulsation velocities from observed spectra of Cepheids is needed for the Baade-Wesselink calibration of these primary distance markers. The applicability of the Fourier-disentangling technique for the determination of…

Solar and Stellar Astrophysics · Physics 2015-05-14 P. Hadrava , M. Slechta , P. Skoda

Sparse principal component analysis (PCA) is a well-established dimensionality reduction technique that is often used for unsupervised feature selection (UFS). However, determining the regularization parameters is rather challenging, and…

Machine Learning · Computer Science 2025-04-07 Long Chen , Xianchao Xiu

Principal component analysis (PCA) is a widely employed statistical tool used primarily for dimensionality reduction. However, it is known to be adversely affected by the presence of outlying observations in the sample, which is quite…

Methodology · Statistics 2023-09-26 Subhrajyoty Roy , Ayanendranath Basu , Abhik Ghosh

It is shown that Principal Component Analysis (PCA) applied to event-by-event single-particle distributions in A-A collisions allows establishing the most optimal basis for anisotropic flow studies from data itself, in contrast to manual…

Nuclear Theory · Physics 2020-12-01 Igor Altsybeev

We present a new technique called contrastive principal component analysis (cPCA) that is designed to discover low-dimensional structure that is unique to a dataset, or enriched in one dataset relative to other data. The technique is a…

Machine Learning · Statistics 2017-11-23 Abubakar Abid , Martin J. Zhang , Vivek K. Bagaria , James Zou

We applied principal component analysis (PCA) to the study of five ground level enhancement (GLE) of cosmic ray (CR) events. The nature of the multivariate data involved makes PCA a useful tool for this study. A subroutine program written…

High Energy Astrophysical Phenomena · Physics 2023-04-10 R. E. Ugwoke , A. A. Ubachukwu , J. O. Urama , O. Okike , J. A. Alhassan , A. E. Chukwude

Principal component analysis (PCA) is often used to analyze multivariate data together with cluster analysis, which depends on the number of principal components used. It is therefore important to determine the number of significant…

Applications · Statistics 2024-09-19 Joshua C. Macdonald , Javier Blanco-Portillo , Marcus W. Feldman , Yoav Ram

The beam position monitor (BPM) system is of most importance in a light source. The capability of the BPM depends on the resolution of the system. The traditional standard deviation on the raw data method merely gives the upper limit of the…

Accelerator Physics · Physics 2015-06-17 Zhichu Chen , Yongbin Leng , Yingbing Yan , Renxian Yuan , Longwei Lai

STEM XEDS spectrum images can be drastically denoised by application of the principal component analysis (PCA). This paper looks inside the PCA workflow step by step on an example of a complex semiconductor structure consisting of a number…

Image and Video Processing · Electrical Eng. & Systems 2019-10-16 Pavel Potapov , Axel Lubk