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Principal Component Analysis (PCA) is known to be the most widely applied dimensionality reduction approach. A lot of improvements have been done on the traditional PCA, in order to obtain optimal results in the dimensionality reduction of…

Computer Vision and Pattern Recognition · Computer Science 2020-09-28 Chisom Ezinne Ogbuanya

Fine particulate matter, PM$_{2.5}$, has been documented to have adverse health effects and wildland fires are a major contributor to PM$_{2.5}$ air pollution in the US. Forecasters use numerical models to predict PM$_{2.5}$ concentrations…

Applications · Statistics 2019-09-30 Suman Majumder , Yawen Guan , Brian J. Reich , Susan O'Neill , Ana G. Rappold

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…

Solar and Stellar Astrophysics · Physics 2015-06-18 Erik Bertram , Rahul Shetty , Simon C. O. Glover , Ralf S. Klessen , Julia Roman-Duval , Christoph Federrath

Estimating environmental exposures from multi-source data is central to public health research and policy. Integrating data from satellite products and ground monitors are increasingly used to produce exposure surfaces. However,…

Methodology · Statistics 2026-01-01 Yovna Junglee , Vianey Leos Barajas , Meredith Franklin

In the era of big data, reducing data dimensionality is critical in many areas of science. Widely used Principal Component Analysis (PCA) addresses this problem by computing a low dimensional data embedding that maximally explain variance…

Machine Learning · Statistics 2017-02-24 Soheil Feizi , David Tse

Air pollution remains a critical environmental and public health challenge, demanding high-resolution spatial data to better understand its spatial distribution and impacts. This study addresses the challenges of conducting multivariate…

Applications · Statistics 2025-03-18 Fernando Rodriguez Avellaneda , Erick A. Chacón-Montalván , Paula Moraga

We apply principal component analysis, a method frequently used in image processing and unsupervised machine learning, to characterize particle displacements observed in the steady shear flow of amorphous solids. PCA produces a…

Disordered Systems and Neural Networks · Physics 2019-09-17 Céline Ruscher , Jörg Rottler

The ability to manipulate complex systems, such as the brain, to modify specific outcomes has far-reaching implications, particularly in the treatment of psychiatric disorders. One approach to designing appropriate manipulations is to…

Machine Learning · Statistics 2024-09-05 Austin Talbot , Corey J Keller , David E Carlson , Alex V Kotlar

Identification of the current and expected future pollution sources to rivers is crucial for sound environmental management. For this purpose numerous approaches were proposed that can be clustered under physical based models, stable…

Applications · Statistics 2022-04-29 Güray Hatipoğlu

Regularized variants of Principal Components Analysis, especially Sparse PCA and Functional PCA, are among the most useful tools for the analysis of complex high-dimensional data. Many examples of massive data, have both sparse and…

Machine Learning · Statistics 2019-08-21 Genevera I. Allen , Michael Weylandt

Ozone and particulate matter PM2.5 are co-pollutants that have long been associated with increased public health risks. Information on concentration levels for both pollutants come from two sources: monitoring sites and output from complex…

Applications · Statistics 2015-03-14 Veronica J. Berrocal , Alan E. Gelfand , David M. Holland

Air quality is closely related to public health. Health issues such as cardiovascular diseases and respiratory diseases, may have connection with long exposure to highly polluted environment. Therefore, accurate air quality forecasts are…

Applications · Statistics 2019-12-17 Haolin Fei , Xiaofeng Wu , Chunbo Luo

Air pollution is a major global health hazard, with fine particulate matter (PM10) linked to severe respiratory and cardiovascular diseases. Hence, analyzing and clustering spatio-temporal air quality data is crucial for understanding…

Methodology · Statistics 2025-06-02 Luca Aiello , Raffaele Argiento , Sirio Legramanti , Lucia Paci

Dimension reduction is often the first step in statistical modeling or prediction of multivariate spatial data. However, most existing dimension reduction techniques do not account for the spatial correlation between observations and do not…

Methodology · Statistics 2025-05-27 Si Cheng , Magali N. Blanco , Timothy V. Larson , Lianne Sheppard , Adam Szpiro , Ali Shojaie

Principal component analysis (PCA) is a most frequently used statistical tool in almost all branches of data science. However, like many other statistical tools, there is sometimes the risk of misuse or even abuse. In this paper, we…

Methodology · Statistics 2021-08-12 Xinyu Zhang , Howell Tong

One of the principal bottlenecks to atmosphere characterisation in the era of all-sky surveys is the availability of fast, autonomous and robust atmospheric retrieval methods. We present a new approach using unsupervised machine learning to…

Earth and Planetary Astrophysics · Physics 2020-04-22 Joshua J. C. Hayes , E. Kerins , S. Awiphan , I. McDonald , J. S. Morgan , P. Chuanraksasat , S. Komonjinda , N. Sanguansak , P. Kittara

Sparse principal component analysis (PCA) aims at mapping large dimensional data to a linear subspace of lower dimension. By imposing loading vectors to be sparse, it performs the double duty of dimension reduction and variable selection.…

Machine Learning · Statistics 2024-01-17 Jasin Machkour , Arnaud Breloy , Michael Muma , Daniel P. Palomar , Frédéric Pascal

The main shortage of principle component analysis (PCA) based anomaly detection models is their interpretability. In this paper, our goal is to propose an interpretable PCA-based model for anomaly detection and interpretation. The propose…

Numerical Analysis · Computer Science 2016-05-17 Xingyan Bin , Ying Zhao , Bilong Shen

We consider the dimensionality-reduction problem (finding a subspace approximation of observed data) for contaminated data in the high dimensional regime, where the number of observations is of the same magnitude as the number of variables…

Machine Learning · Statistics 2010-05-14 Huan Xu , Constantine Caramanis , Shie Mannor

Principal Component Analysis (PCA) is a ubiquitous tool with many applications in machine learning including feature construction, subspace embedding, and outlier detection. In this paper, we present an algorithm for computing the top…

Machine Learning · Computer Science 2013-10-25 Nikos Karampatziakis , Paul Mineiro