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We have developed a web tool to perform Principal Component Analysis (PCA, Murtagh & Heck 1987; Kendall 1980) onto spectral data. The method is especially designed to perform spectral classification of galaxies from a sample of input…

Astrophysics of Galaxies · Physics 2009-09-22 Mauricio Ortiz , Gaspar Galaz

We present a study on the determination of rotation periods (P) of solar-like stars from the photometric irregular time-sampling of the ESA Gaia mission, currently scheduled for launch in 2013, taking into account its dependence on ecliptic…

Solar and Stellar Astrophysics · Physics 2015-06-04 E. Distefano , A. C. Lanzafame , A. F. Lanza , S. Messina , A. J. Korn , K. Eriksson , J. Cuypers

Principal Component Analysis (PCA) is a widely utilized technique for dimensionality reduction; however, its inherent lack of interpretability-stemming from dense linear combinations of all feature-limits its applicability in many domains.…

Machine Learning · Computer Science 2025-04-01 Loc Hoang Tran

The derivation of the effective temperature of a star is a critical first step in a detailed spectroscopic analysis. Spectroscopic methods suffer from systematic errors related to model simplifications. Photometric methods may be more…

Solar and Stellar Astrophysics · Physics 2015-06-15 Julián Muñoz Bermejo , Andrés Asensio Ramos , Carlos Allende Prieto

Spectrographs nominally contain a degree of quasi-static optical aberrations resulting from the quality of manufactured component surfaces, imperfect alignment, design residuals, thermal effects, and other other associated phenomena…

Instrumentation and Methods for Astrophysics · Physics 2021-07-28 Eric B. Bechter , Andrew J. Bechter , Justin R. Crepp , Jonathan Crass

Coherent measurement of quantum signals used for continuous-variable (CV) quantum key distribution (QKD) across satellite-to-ground channels requires compensation of phase wavefront distortions caused by atmospheric turbulence. One…

Quantum Physics · Physics 2025-08-13 Nathan K. Long , Robert Malaney , Kenneth J. Grant

We present rotation periods for thousands of active stars in the Kepler field derived from Q3 data. In most cases a second period close to the rotation period was detected, which we interpreted as surface differential rotation (DR). Active…

Solar and Stellar Astrophysics · Physics 2015-06-16 Timo Reinhold , Ansgar Reiners , Gibor Basri

Principal Component Analysis (PCA) is a classical method for reducing the dimensionality of data by projecting them onto a subspace that captures most of their variation. Effective use of PCA in modern applications requires understanding…

Statistics Theory · Mathematics 2019-06-14 David Hong , Laura Balzano , Jeffrey A. Fessler

Measurements of Ra-226 activity from eight HPGe gamma ray detectors at the NC State University PULSTAR Reactor were analyzed for evidence of periodic variations, with particular attention to annual variations. All measurements were made…

Nuclear Experiment · Physics 2017-01-10 Daniel D. Stancil , Sümeyra Balci Yegen , David A. Dickey , Chris R. Gould

The research detailed in this paper scrutinizes Principal Component Analysis (PCA), a seminal method employed in statistics and machine learning for the purpose of reducing data dimensionality. Singular Value Decomposition (SVD) is often…

Methodology · Statistics 2024-04-02 Donggun Kim , Kisung You

The Sun is the only star whose surface can be directly resolved at high resolution, and therefore constitutes an excellent test case to explore the physical origin of stellar radial-velocity (RV) variability. We present HARPS observations…

Earth and Planetary Astrophysics · Physics 2016-03-16 R. D. Haywood , A. Collier Cameron , Y. C. Unruh , C. Lovis , A. F. Lanza , J. Llama , M. Deleuil , R. Fares , M. Gillon , C. Moutou , F. Pepe , D. Pollacco , D. Queloz , D. Segransan

We investigate retrieval of the stellar rotation signal for Proxima Centauri. We make use of high-resolution spectra taken with uves and harps of Proxima Centauri over a 13-year period as well as photometric observations of Proxima Centauri…

Solar and Stellar Astrophysics · Physics 2017-06-07 John M. Collins , Hugh R. A. Jones , John R. Barnes

Recent and upcoming stabilized spectrographs are pushing the frontier for Doppler spectroscopy to detect and characterize low-mass planets. Specifications for these instruments are so impressive that intrinsic stellar variability is…

Instrumentation and Methods for Astrophysics · Physics 2020-05-05 Christian Gilbertson , Eric B. Ford , Xavier Dumusque

The reliable operation of automatic systems is heavily dependent on the ability to detect faults in the underlying dynamical system. While traditional model-based methods have been widely used for fault detection, data-driven approaches…

Machine Learning · Statistics 2023-06-27 Zachary Morrison , Benjamin P. Russo , Yingzhao Lian , Rushikesh Kamalapurkar

We present the first Doppler images of the prototypical active binary star RS CVn, derived from high-resolution spectra observed in 2004, 2016 and 2017, using three different telescopes and observing sites. We apply the least-squares…

Solar and Stellar Astrophysics · Physics 2020-02-05 Yue Xiang , Shenghong Gu , U. Wolter , J. H. M. M. Schmitt , A. Collier Cameron , J. R. Barnes , M. Mittag , V. Perdelwitz , S. Kohl

Principal component regression (PCR) is a two-stage procedure: the first stage performs principal component analysis (PCA) and the second stage constructs a regression model whose explanatory variables are replaced by principal components…

Machine Learning · Statistics 2021-11-22 Shuichi Kawano

Our aim is to evaluate fundamental parameters from the analysis of the electromagnetic spectra of stars. We may use $10^3$-$10^5$ spectra; each spectrum being a vector with $10^2$-$10^4$ coordinates. We thus face the so-called "curse of…

Instrumentation and Methods for Astrophysics · Physics 2017-06-08 V. Watson , JF. Trouilhet , F. Paletou , S. Girard

The detection of small mass planets with the radial-velocity technique is now confronted with the interference of stellar noise. HARPS can now reach a precision below the meter-per-second, which corresponds to the amplitudes of different…

Earth and Planetary Astrophysics · Physics 2015-05-20 X. Dumusque , N. C. Santos , S. Udry , C. Lovis , X. Bonfils

Radial velocity perturbations induced by stellar surface inhomogeneities including spots, plages and granules currently limit the detection of Earth-twins using Doppler spectroscopy. Such stellar noise is poorly understood for stars other…

A very important issue concerning protostellar jets is the mechanism behind their formation. Obtaining information on the region at the base of a jet can shed light into the subject and some years ago this has been done through a search for…

Solar and Stellar Astrophysics · Physics 2015-08-06 A. H. Cerqueira , J. Reyes-Iturbide , F. De Colle , M. J. Vasconcelos