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Advanced representation learning techniques require reliable and general evaluation methods. Recently, several algorithms based on the common idea of geometric and topological analysis of a manifold approximated from the learned data…

机器学习 · 计算机科学 2022-02-15 Petra Poklukar , Vladislav Polianskii , Anastasia Varava , Florian Pokorny , Danica Kragic

Principal component analysis (PCA) is widely used for dimensionality reduction, with well-documented merits in various applications involving high-dimensional data, including computer vision, preference measurement, and bioinformatics. In…

机器学习 · 统计学 2013-10-01 Gonzalo Mateos , Georgios B. Giannakis

Data reconciliation (DR) and Principal Component Analysis (PCA) are two popular data analysis techniques in process industries. Data reconciliation is used to obtain accurate and consistent estimates of variables and parameters from…

机器学习 · 计算机科学 2015-05-05 Shankar Narasimhan , Nirav Bhatt

Principal Component Analysis (PCA) is a commonly used tool for dimension reduction in analyzing high dimensional data; Multilinear Principal Component Analysis (MPCA) has the potential to serve the similar function for analyzing tensor…

统计理论 · 数学 2011-04-29 Hung Hung , Pei-Shien Wu , I-Ping Tu , Su-Yun Huang

The widespread use of multisensor technology and the emergence of big data sets have brought the necessity to develop more versatile tools to represent higher-order data with multiple aspects and high dimensionality. Data in the form of…

信号处理 · 电气工程与系统科学 2018-06-27 Ali Zare , Alp Ozdemir , Mark A. Iwen , Selin Aviyente

Automatic face recognition is a research area with high popularity. Many different face recognition algorithms have been proposed in the last thirty years of intensive research in the field. With the popularity of deep learning and its…

计算机视觉与模式识别 · 计算机科学 2022-08-10 Tiago de Freitas Pereira , Dominic Schmidli , Yu Linghu , Xinyi Zhang , Sébastien Marcel , Manuel Günther

Principal component analysis (PCA) is a well-known linear dimension-reduction method that has been widely used in data analysis and modeling. It is an unsupervised learning technique that identifies a suitable linear subspace for the input…

机器学习 · 统计学 2021-09-10 Shaojie Xu , Joel Vaughan , Jie Chen , Agus Sudjianto , Vijayan Nair

Principal component analysis (PCA) is arguably the most widely used dimension-reduction method for vector-type data. When applied to a sample of images, PCA requires vectorization of the image data, which in turn entails solving an…

图像与视频处理 · 电气工程与系统科学 2021-03-02 Szu-Chi Chung , Shao-Hsuan Wang , Po-Yao Niu , Su-Yun Huang , Wei-Hau Chang , I-Ping Tu

High-dimensional image data often require dimensionality reduction before further analysis. This paper provides a purely analytical comparison of two linear techniques-Principal Component Analysis (PCA) and Singular Value Decomposition…

计算机视觉与模式识别 · 计算机科学 2025-06-27 Michael Gyimadu , Gregory Bell , Ph. D

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…

机器学习 · 计算机科学 2020-11-24 Shenglan Liu , Yang Yu

A sample-relaxed two-dimensional color principal component analysis (SR-2DCPCA) approach is presented for face recognition and image reconstruction based on quaternion models. A relaxation vector is automatically generated according to the…

计算机视觉与模式识别 · 计算机科学 2018-03-13 Meixiang Zhao , Zhigang Jia , Dunwei Gong

This paper is concerned by the statistical analysis of data sets whose elements are random histograms. For the purpose of learning principal modes of variation from such data, we consider the issue of computing the PCA of histograms with…

统计方法学 · 统计学 2017-08-29 Elsa Cazelles , Vivien Seguy , Jérémie Bigot , Marco Cuturi , Nicolas Papadakis

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

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

Face detection and identification is the most difficult and often used task in Artificial Intelligence systems. The goal of this study is to present and compare the results of several face detection and recognition algorithms used in the…

计算机视觉与模式识别 · 计算机科学 2022-06-14 Musarrat Saberin Nipun , Rejwan Bin Sulaiman , Amer Kareem

Principal component analysis (PCA) is widely used for feature extraction and dimensionality reduction, with documented merits in diverse tasks involving high-dimensional data. Standard PCA copes with one dataset at a time, but it is…

机器学习 · 计算机科学 2019-01-30 Jia Chen , Gang Wang , Georgios B. Giannakis

Face recognition is the very significant field in pattern recognition area. It has multiple applications in military and finance, to name a few. In this paper, the combination of the sparse PCA with the nearest-neighbor method (and with the…

计算机视觉与模式识别 · 计算机科学 2021-12-02 Loc Hoang Tran , Tuan Tran , An Mai

This paper presents new algorithms to solve the feature-sparsity constrained PCA problem (FSPCA), which performs feature selection and PCA simultaneously. Existing optimization methods for FSPCA require data distribution assumptions and are…

机器学习 · 计算机科学 2019-05-28 Lai Tian , Feiping Nie , Xuelong Li

Principal Component Analysis (PCA) is the workhorse tool for dimensionality reduction in this era of big data. While often overlooked, the purpose of PCA is not only to reduce data dimensionality, but also to yield features that are…

机器学习 · 计算机科学 2021-11-30 Arpita Gang , Waheed U. Bajwa

Principal components analysis (PCA) is a widely used dimension reduction technique with an extensive range of applications. In this paper, an online distributed algorithm is proposed for recovering the principal eigenspaces. We further…