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Principal component analysis is performed on Birkeland or field-aligned current (FAC) measurements from the Active Magnetosphere and Planetary Electrodynamics Response Experiment. Principal component analysis (PCA) identifies the patterns…

空间物理 · 物理学 2016-06-06 S. E. Milan , J. A. Carter , H. Korth , B. J. Anderson

When modeling multivariate data, one might have an extra parameter of contextual information that could be used to treat some observations as more similar to others. For example, images of faces can vary by age, and one would expect the…

计算机视觉与模式识别 · 计算机科学 2018-02-06 Ajay Gupta , Adrian Barbu

Principal component analysis (PCA) is a mainstay of modern data analysis - a black box that is widely used but (sometimes) poorly understood. The goal of this paper is to dispel the magic behind this black box. This manuscript focuses on…

机器学习 · 计算机科学 2014-04-07 Jonathon Shlens

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…

机器学习 · 统计学 2017-11-23 Abubakar Abid , Martin J. Zhang , Vivek K. Bagaria , James Zou

In climate studies, detecting spatial patterns that largely deviate from the sample mean still remains a statistical challenge. Although a Principal Component Analysis (PCA), or equivalently a Empirical Orthogonal Functions (EOF)…

统计理论 · 数学 2020-01-29 Alberto Bernacchia , Philippe Naveau

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

We propose a robust principal component analysis (RPCA) framework to recover low-rank and sparse matrices from temporal observations. We develop an online version of the batch temporal algorithm in order to process larger datasets or…

机器学习 · 统计学 2022-08-04 Hong-Lan Botterman , Julien Roussel , Thomas Morzadec , Ali Jabbari , Nicolas Brunel

Principal component analysis (PCA) is an important tool in exploring data. The conventional approach to PCA leads to a solution which favours the structures with large variances. This is sensitive to outliers and could obfuscate interesting…

统计方法学 · 统计学 2015-06-16 A. A. Akinduko , A. N. Gorban

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

Principal Component Analysis (PCA) is a well known procedure to reduce intrinsic complexity of a dataset, essentially through simplifying the covariance structure or the correlation structure. We introduce a novel algebraic, model-based…

统计方法学 · 统计学 2021-12-09 Martin Schlather , Felix Reinbott

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

We explore the use of principal component analysis (PCA) to characterize high-fidelity simulations and interferometric observations of the millimeter emission that originates near the horizons of accreting black holes. We show…

天体物理仪器与方法 · 物理学 2018-09-05 Lia Medeiros , Tod R. Lauer , Dimitrios Psaltis , Feryal Özel

Principal component analysis (PCA) aims at estimating the direction of maximal variability of a high-dimensional dataset. A natural question is: does this task become easier, and estimation more accurate, when we exploit additional…

信息论 · 计算机科学 2014-06-19 Andrea Montanari , Emile Richard

Principal Component Analysis (PCA) is an efficient tool to optimize the multiparameter tests of general relativity (GR) where one tests for simultaneous deviations in multiple post-Newtonian (PN) phasing coefficients by introducing…

广义相对论与量子宇宙学 · 物理学 2022-08-17 Sayantani Datta , M. Saleem , K. G. Arun , B. S. Sathyaprakash

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…

统计方法学 · 统计学 2023-09-26 Subhrajyoty Roy , Ayanendranath Basu , Abhik Ghosh

We demonstrate the utility of an unsupervised machine learning tool for the detection of phase transitions in off-lattice systems. We focus on the application of principal component analysis (PCA) to detect the freezing transitions of…

计算物理 · 物理学 2018-12-07 R. B. Jadrich , B. A. Lindquist , T. M. Truskett

Principal component analysis (PCA) is one of the most popular dimension reduction techniques in statistics and is especially powerful when a multivariate distribution is concentrated near a lower-dimensional subspace. Multivariate extreme…

统计方法学 · 统计学 2025-07-15 Felix Reinbott , Anja Janßen

Cryo-electron microscopy nowadays often requires the analysis of hundreds of thousands of 2D images as large as a few hundred pixels in each direction. Here we introduce an algorithm that efficiently and accurately performs principal…

计算机视觉与模式识别 · 计算机科学 2015-12-16 Zhizhen Zhao , Yoel Shkolnisky , Amit Singer

A new look on the principal component analysis has been presented. Firstly, a geometric interpretation of determination coefficient was shown. In turn, the ability to represent the analyzed data and their interdependencies in the form of…

统计方法学 · 统计学 2017-11-29 Zenon Gniazdowski

We present a method using principal component analysis (PCA) to process x-ray pulses with severe shape variation where traditional optimal filter methods fail. We demonstrate that PCA is able to noise-filter and extract energy information…

仪器与探测器 · 物理学 2016-03-23 Daikang Yan , Thomas Cecil , Lisa Gades , Chris Jacobsen , Timothy Madden , Antonino Miceli