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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…

Astrophysics · Physics 2007-10-23 Stavros Akras , Panayotis Boumis

Ultrasound is an adjunct tool to mammography that can quickly and safely aid physicians with diagnosing breast abnormalities. Clinical ultrasound often assumes a constant sound speed to form B-mode images for diagnosis. However, the various…

Computer Vision and Pattern Recognition · Computer Science 2023-02-08 Walter A. Simson , Magdalini Paschali , Vasiliki Sideri-Lampretsa , Nassir Navab , Jeremy J. Dahl

Principal component analysis (PCA) is a widely used dimension reduction technique in machine learning and multivariate statistics. To improve the interpretability of PCA, various approaches to obtain sparse principal direction loadings have…

Data Structures and Algorithms · Computer Science 2021-06-07 Agniva Chowdhury , Petros Drineas , David P. Woodruff , Samson Zhou

Ultrasound imaging is a real-time diagnostic modality that reconstructs acoustic signals into visual representations of internal body structures. A key component in this process is beamforming, with the Delay and Sum (DAS) algorithm being a…

Numerical Analysis · Mathematics 2025-07-22 Chiara Razzetta , Sara Garbarino , Michele Piana , Marco Crocco , Federico Benvenuto

Principal Component Analysis (PCA) is a widely used technique in exploratory data analysis, visualization, and data preprocessing, leveraging the concept of variance to identify key dimensions in datasets. In this study, we focus on the…

Applications · Statistics 2024-07-03 Reza Dastranj , Martin Kolar

Principal Component Analysis (PCA) is a fundamental data preprocessing tool in the world of machine learning. While PCA is often thought of as a dimensionality reduction method, the purpose of PCA is actually two-fold: dimension reduction…

Machine Learning · Computer Science 2023-01-25 Arpita Gang , Waheed U. Bajwa

One of the most interesting tools that have recently entered the data science toolbox is topological data analysis (TDA). With the explosion of available data sizes and dimensions, identifying and extracting the underlying structure of a…

Computational Geometry · Computer Science 2023-06-26 Seonmi Choi , Jinseok Oh , Jeong Rye Park , Seung Yeop Yang , Hongdae Yun

Real-time or near real-time hyperspectral detection and identification are extremely useful and needed in many fields. These data sets can be quite large, and the algorithms can require numerous computations that slow the process down. A…

Image and Video Processing · Electrical Eng. & Systems 2023-11-27 Abigail Basener , Meagan Herald

In probabilistic principal component analysis (PPCA), an observed vector is modeled as a linear transformation of a low-dimensional Gaussian factor plus isotropic noise. We generalize PPCA to tensors by constraining the loading operator to…

Statistics Theory · Mathematics 2025-10-23 Yaoming Zhen , Piotr Zwiernik

Principal component analysis (PCA) is a statistical technique commonly used in multivariate data analysis. However, PCA can be difficult to interpret and explain since the principal components (PCs) are linear combinations of the original…

Mathematical Software · Computer Science 2013-12-24 W. Liu , H. Zhang , D. Tao , Y. Wang , K. Lu

As a widely used method in machine learning, principal component analysis (PCA) shows excellent properties for dimensionality reduction. It is a serious problem that PCA is sensitive to outliers, which has been improved by numerous Robust…

Machine Learning · Computer Science 2020-11-24 Shenglan Liu , Yang Yu

The ubiquitous time-delay estimation (TDE) problem becomes nontrivial when sensors are non-co-located and communication between them is limited. Building on the recently proposed "extremum encoding" compression-estimation scheme, we address…

Signal Processing · Electrical Eng. & Systems 2024-12-25 Amir Weiss , Yuval Kochman , Gregory W. Wornell

Deep Learning (DL) methods have been used for electrocardiogram (ECG) processing in a wide variety of tasks, demonstrating good performance compared with traditional signal processing algorithms. These methods offer an efficient framework…

Signal Processing · Electrical Eng. & Systems 2024-07-31 Adrian Atienza , Jakob Bardram , Sadasivan Puthusserypady

Mechanical properties of tissue provide valuable information for identifying lesions. One approach to obtain quantitative estimates of elastic properties is shear wave elastography with optical coherence elastography (OCE). However, given…

Image and Video Processing · Electrical Eng. & Systems 2020-04-30 Maximilian Neidhardt , Marcel Bengs , Sarah Latus , Matthias Schlüter , Thore Saathoff , Alexander Schlaefer

The time of arrival (TOA)-based localization techniques, which need to estimate the delay of the line-of-sight (LoS) path, have been widely employed in location-aware networks. To achieve a high-accuracy delay estimation, a number of…

Signal Processing · Electrical Eng. & Systems 2022-06-22 Yubo Wan , An Liu , Qiyu Hu , Mianyi Zhang , Yunlong Cai

Classical Principal Component Analysis (PCA) approximates data in terms of projections on a small number of orthogonal vectors. There are simple procedures to efficiently compute various functions of the data from the PCA approximation. The…

Machine Learning · Statistics 2019-07-26 Guihong Wan , Crystal Maung , Haim Schweitzer

This work addresses a procedure to estimate fundamental stellar parameters such as T eff , logg, [Fe/H], and v sin i using a dimensionality reduction technique called Principal Component Analysis (PCA), applied to a large database of…

Solar and Stellar Astrophysics · Physics 2015-08-18 W. Farah , M. Gebran , F. Paletou , R. Blomme

Principal component analysis (PCA) plays an important role in the analysis of cryo-EM images for various tasks such as classification, denoising, compression, and ab-initio modeling. We introduce a fast method for estimating a compressed…

Numerical Analysis · Mathematics 2022-11-01 Nicholas F. Marshall , Oscar Mickelin , Yunpeng Shi , Amit Singer

Principal Component Analysis (PCA) is one of the most important methods to handle high dimensional data. However, most of the studies on PCA aim to minimize the loss after projection, which usually measures the Euclidean distance, though in…

Machine Learning · Computer Science 2019-03-19 Kai Liu , Qiuwei Li , Hua Wang , Gongguo Tang

Prostate cancer (PCa) is one of the most common cancers in men around the world. The most accurate method to evaluate lesion levels of PCa is microscopic inspection of stained biopsy tissue and estimate the Gleason score of tissue…

Image and Video Processing · Electrical Eng. & Systems 2020-05-12 Yi-hong Zhang , Jing Zhang , Yang Song , Chaomin Shen , Guang Yang