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Given a matrix of observed data, Principal Components Analysis (PCA) computes a small number of orthogonal directions that contain most of its variability. Provably accurate solutions for PCA have been in use for a long time. However, to…

机器学习 · 计算机科学 2016-11-01 Namrata Vaswani , Han Guo

Given a matrix of observed data, Principal Components Analysis (PCA) computes a small number of orthogonal directions that contain most of its variability. Provably accurate solutions for PCA have been in use for a long time. However, to…

机器学习 · 计算机科学 2016-11-03 Namrata Vaswani , Han Guo

Event-related potential (ERP), a specialized paradigm of electroencephalographic (EEG), reflects neurological responses to external stimuli or events, generally associated with the brain's processing of specific cognitive tasks. ERP plays a…

神经与进化计算 · 计算机科学 2026-04-21 Yihe Wang , Zhiqiao Kang , Bohan Chen , Yu Zhang , Xiang Zhang

Objective: Epileptic seizures are relatively common in critically-ill children admitted to the pediatric intensive care unit (PICU) and thus serve as an important target for identification and treatment. Most of these seizures have no…

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…

机器学习 · 统计学 2021-11-22 Shuichi Kawano

In many scientific disciplines, the features of interest cannot be observed directly, so must instead be inferred from observed behaviour. Latent variable analyses are increasingly employed to systematise these inferences, and Principal…

The Principal Component Analysis (PCA) is a data dimensionality reduction technique well-suited for processing data from sensor networks. It can be applied to tasks like compression, event detection, and event recognition. This technique is…

网络与互联网体系结构 · 计算机科学 2010-03-13 Yann-Aël Le Borgne , Sylvain Raybaud , Gianluca Bontempi

We consider a family of vector dot products that can be implemented using sign changes and addition operations only. The dot products are energy-efficient as they avoid the multiplication operation entirely. Moreover, the dot products…

机器学习 · 计算机科学 2021-05-26 Hongyi Pan , Diaa Badawi , Erdem Koyuncu , A. Enis Cetin

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…

数据结构与算法 · 计算机科学 2021-06-07 Agniva Chowdhury , Petros Drineas , David P. Woodruff , Samson Zhou

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…

机器学习 · 统计学 2024-09-05 Austin Talbot , Corey J Keller , David E Carlson , Alex V Kotlar

Classical principal component analysis (PCA) may suffer from the sensitivity to outliers and noise. Therefore PCA based on $\ell_1$-norm and $\ell_p$-norm ($0 < p < 1$) have been studied. Among them, the ones based on $\ell_p$-norm seem to…

机器学习 · 计算机科学 2020-05-27 Xiang-Fei Yang , Yuan-Hai Shao , Chun-Na Li , Li-Ming Liu , Nai-Yang Deng

We present a method for performing Principal Component Analysis (PCA) on noisy datasets with missing values. Estimates of the measurement error are used to weight the input data such that compared to classic PCA, the resulting eigenvectors…

天体物理仪器与方法 · 物理学 2015-06-11 Stephen Bailey

Principal Component Analysis (PCA) is a transform for finding the principal components (PCs) that represent features of random data. PCA also provides a reconstruction of the PCs to the original data. We consider an extension of PCA which…

统计方法学 · 统计学 2021-11-05 Pablo Soto-Quiros , Anatoli Torokhti

We consider the problem of learning a mixture of Random Utility Models (RUMs). Despite the success of RUMs in various domains and the versatility of mixture RUMs to capture the heterogeneity in preferences, there has been only limited…

机器学习 · 统计学 2020-04-01 Devavrat Shah , Dogyoon Song

Principal component analysis (PCA) is a fundamental dimension reduction tool in statistics and machine learning. For large and high-dimensional data, computing the PCA (i.e., the singular vectors corresponding to a number of dominant…

数据结构与算法 · 计算机科学 2017-04-26 Wenjian Yu , Yu Gu , Jian Li , Shenghua Liu , Yaohang Li

Event-related potentials (ERPs) extracted from electroencephalography (EEG) data in response to stimuli are widely used in psychological and neuroscience experiments. A major goal is to link ERP characteristic components to subject-level…

统计方法学 · 统计学 2024-06-11 Cheng-Han Yu , Meng Li , Marina Vannucci

We introduce the use of two machine learning algorithms to create an empirical model of an experimental apparatus, which is able to reduce the number of measurements necessary for generic optimisation tasks exponentially as compared to…

量子物理 · 物理学 2020-05-20 Pascal Kobel , Martin Link , Michael Köhl

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…

统计方法学 · 统计学 2021-08-12 Xinyu Zhang , Howell Tong

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…

数学软件 · 计算机科学 2013-12-24 W. Liu , H. Zhang , D. Tao , Y. Wang , K. Lu

Principal Component Analysis (PCA) is a commonly used tool for dimension reduction and denoising. Therefore, it is also widely used on the data prior to training a neural network. However, this approach can complicate the explanation of…

机器学习 · 计算机科学 2025-09-30 Nhan Phan , Thu Nguyen , Uyen Dang , Pål Halvorsen , Michael A. Riegler