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In this work we investigate the Principal Component Analysis (PCA) sensitivity to the velocity power spectrum in high opacity regimes of the interstellar medium (ISM). For our analysis we use synthetic Position-Position-Velocity (PPV) cubes…

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…

Complex organic molecules (COMs) are observed to be abundant in various astrophysical environments, in particular toward star forming regions they are observed both toward protostellar envelopes as well as shocked regions. Emission spectrum…

天体物理仪器与方法 · 物理学 2026-01-14 Nina Kessler , Timea Csengeri , David Cornu , Sylvain Bontemps , Laure Bouscasse

We use Principal Component Analysis (PCA) to study the gas dynamics in numerical simulations of typical MCs. Our simulations account for the non-isothermal nature of the gas and include a simplified treatment of the time-dependent gas…

太阳与恒星天体物理 · 物理学 2015-06-18 Erik Bertram , Rahul Shetty , Simon C. O. Glover , Ralf S. Klessen , Julia Roman-Duval , Christoph Federrath

Principal Component Analysis (PCA) is a well-known technique used to decorrelate a set of vectors. It has been applied to explore the star formation history of galaxies or to determine distances of mass-lossing stars. Here we apply PCA to…

天体物理学 · 物理学 2007-10-23 Stavros Akras , Panayotis Boumis

Principal Component Analysis (PCA) has been widely used for dimensionality reduction and feature extraction. Robust PCA (RPCA), under different robust distance metrics, such as l1-norm and l2, p-norm, can deal with noise or outliers to some…

机器学习 · 计算机科学 2021-06-29 Zhao Kang , Hongfei Liu , Jiangxin Li , Xiaofeng Zhu , Ling Tian

Modal analysis techniques are used to identify patterns and develop reduced-order models in a variety of fluid applications. However, experimentally acquired flow fields may be corrupted with incorrect and missing entries, which may degrade…

Principal component analysis (PCA) is a widely used method for data processing, such as for dimension reduction and visualization. Standard PCA is known to be sensitive to outliers, and thus, various robust PCA methods have been proposed.…

机器学习 · 统计学 2020-08-11 Keishi Sando , Hideitsu Hino

Efficient representations of data are essential for processing, exploration, and human understanding, and Principal Component Analysis (PCA) is one of the most common dimensionality reduction techniques used for the analysis of large,…

统计计算 · 统计学 2023-11-06 Olga Dorabiala , Aleksandr Aravkin , J. Nathan Kutz

We present a new straightforward principal component analysis (PCA) method based on the diagonalization of the weighted variance-covariance matrix through two spectral decomposition methods: power iteration and Rayleigh quotient iteration.…

天体物理仪器与方法 · 物理学 2014-12-16 Ludovic Delchambre

Principal Component Analysis (PCA) is a well-known multivariate technique used to decorrelate a set of vectors. PCA has been extensively applied in the past to the classification of stellar and galaxy spectra. Here we apply PCA to the…

天体物理学 · 物理学 2007-05-23 I. Ferreras , B. Rogers , O. Lahav , .

We present the results of a study to optimize the principal component analysis (PCA) algorithm for planet detection, a new algorithm complementing ADI and LOCI for increasing the contrast achievable next to a bright star. The stellar PSF is…

地球与行星天体物理 · 物理学 2015-06-17 T. Meshkat , M. Kenworthy , S. P. Quanz , A. Amara

Principal Component Analysis (PCA)-based techniques can separate data into different uncorrelated components and facilitate the statistical analysis as a pre-processing step. Independent Component Analysis (ICA) can separate statistically…

天体物理仪器与方法 · 物理学 2023-01-03 Güray Hatipoğlu

Principal Component Analysis (PCA) is one of the most commonly used statistical methods for data exploration, and for dimensionality reduction wherein the first few principal components account for an appreciable proportion of the…

统计方法学 · 统计学 2024-01-11 Caren Marzban , Ulvi Yurtsever , Michael Richman

Principal component analysis (PCA) is a fundamental tool for analyzing multivariate data. Here the focus is on dimension reduction to the principal subspace, characterized by its projection matrix. The classical principal subspace can be…

统计方法学 · 统计学 2026-05-29 Fabio Centofanti , Mia Hubert , Peter J. Rousseeuw

We analyse synthetic galaxy spectra from the evolutionary models of Bruzual&Charlot and Fioc&Rocca-Volmerange using the method of Principal Component Analysis (PCA). We explore synthetic spectra with different ages, star formation histories…

天体物理学 · 物理学 2009-10-30 S. Ronen , A. Aragon-Salamanca , O. Lahav

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…

星系天体物理 · 物理学 2009-09-22 Mauricio Ortiz , Gaspar Galaz

Principal Component Analysis (PCA) is a widely used technique in machine learning, data analysis and signal processing. With the increase in the size and complexity of datasets, it has become important to develop low-space usage algorithms…

机器学习 · 计算机科学 2023-03-09 Yichuan Deng , Zhao Song , Zifan Wang , Han Zhang

Principal component analysis (PCA) is largely adopted for chemical process monitoring and numerous PCA-based systems have been developed to solve various fault detection and diagnosis problems. Since PCA-based methods assume that the…

机器学习 · 计算机科学 2017-12-13 Haitao Zhao

A principal component analysis (PCA) of clean microcalorimeter pulse records can be a first step beyond statistically optimal linear filtering of pulses towards a fully non-linear analysis. For PCA to be practical on spectrometers with…

数据分析、统计与概率 · 物理学 2020-01-08 J. W. Fowler , B. K. Alpert , Y. -I. Joe , G. C. O'Neil , D. S. Swetz , J. N. Ullom
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