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相关论文: SuperPCA: A Superpixelwise PCA Approach for Unsupe…

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This paper introduces the Class-wise Principal Component Analysis, a supervised feature extraction method for hyperspectral data. Hyperspectral Imaging (HSI) has appeared in various fields in recent years, including Remote Sensing.…

计算机视觉与模式识别 · 计算机科学 2021-04-12 Dimitra Koumoutsou , Eleni Charou , Georgios Siolas , Giorgos Stamou

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 a classical method for reducing the dimensionality of data by projecting them onto a subspace that captures most of their variation. Effective use of PCA in modern applications requires understanding…

统计理论 · 数学 2019-06-14 David Hong , Laura Balzano , Jeffrey A. Fessler

Laser-induced breakdown spectroscopy is a preferred technique for fast and direct multi-elemental mapping of samples under ambient pressure, without any limitation on the targeted element. However, LIBS mapping data have two peculiarities:…

应用物理 · 物理学 2022-10-11 Riccardo Finotello , Mohamed Tamaazousti , Jean-Baptiste Sirven

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…

图像与视频处理 · 电气工程与系统科学 2023-11-27 Abigail Basener , Meagan Herald

This paper addresses the challenge of spectral-spatial feature extraction for hyperspectral image classification by introducing a novel tensor-based framework. The proposed approach incorporates circular convolution into a tensor structure…

计算机视觉与模式识别 · 计算机科学 2024-12-10 Yuemei Ren , Liang Liao , Stephen John Maybank , Yanning Zhang , Xin Liu

Principal Component Analysis (PCA) is a method for estimating a subspace given noisy samples. It is useful in a variety of problems ranging from dimensionality reduction to anomaly detection and the visualization of high dimensional data.…

统计理论 · 数学 2019-06-14 David Hong , Laura Balzano , Jeffrey A. Fessler

Dimensionality reduction represents a critical preprocessing step in order to increase the efficiency and the performance of many hyperspectral imaging algorithms. However, dimensionality reduction algorithms, such as the Principal…

机器学习 · 计算机科学 2024-03-28 E. Martel , R. Lazcano , J. Lopez , D. Madroñal , R. Salvador , S. Lopez , E. Juarez , R. Guerra , C. Sanz , R. Sarmiento

Principal component analysis (PCA) is a widely used unsupervised dimensionality reduction technique in machine learning, applied across various fields such as bioinformatics, computer vision and finance. However, when the response variables…

应用统计 · 统计学 2025-06-25 Theodosios Papazoglou , Guosheng Yin

The high-dimensional feature space of the hyperspectral imagery poses major challenges to the processing and analysis of the hyperspectral data sets. In such a case, dimensionality reduction is necessary to decrease the computational…

图像与视频处理 · 电气工程与系统科学 2024-06-06 Mustafa Ustuner

Hyperspectral optical imaging provides rich spectral information for estimating continuous environmental and material parameters; however, its high dimensionality and strong feature correlation pose significant challenges for machine…

光学 · 物理学 2025-12-18 Parisa Parand , Mahmoud Samadpour

Sparse Principal Component Analysis (sPCA) is a cardinal technique for obtaining combinations of features, or principal components (PCs), that explain the variance of high-dimensional datasets in an interpretable manner. This involves…

最优化与控制 · 数学 2025-12-02 Ryan Cory-Wright , Jean Pauphilet

Recent studies try to use hyperspectral imaging (HSI) to detect foreign matters in products because it enables to visualize the invisible wavelengths including ultraviolet and infrared. Considering the enormous image channels of the HSI,…

计算机视觉与模式识别 · 计算机科学 2024-01-10 Dongeon Kim , YeongHyeon Park

Principal component analysis (PCA) is a classical and ubiquitous method for reducing data dimensionality, but it is suboptimal for heterogeneous data that are increasingly common in modern applications. PCA treats all samples uniformly so…

统计理论 · 数学 2021-12-02 David Hong , Kyle Gilman , Laura Balzano , Jeffrey A. Fessler

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 classical method for dimensionality reduction based on extracting the dominant eigenvectors of the sample covariance matrix. However, PCA is well known to behave poorly in the ``large $p$, small $n$''…

统计理论 · 数学 2009-08-26 Arash A. Amini , Martin J. Wainwright

A general framework for principal component analysis (PCA) in the presence of heteroskedastic noise is introduced. We propose an algorithm called HeteroPCA, which involves iteratively imputing the diagonal entries of the sample covariance…

统计理论 · 数学 2021-04-02 Anru R. Zhang , T. Tony Cai , Yihong Wu

Methods for supervised principal component analysis (SPCA) aim to incorporate label information into principal component analysis (PCA), so that the extracted features are more useful for a prediction task of interest. Prior work on SPCA…

机器学习 · 统计学 2022-08-18 Alexander Ritchie , Laura Balzano , Daniel Kessler , Chandra S. Sripada , Clayton Scott

Principal component analysis (PCA) is a commonly used pattern analysis method that maps high-dimensional data into a lower-dimensional space maximizing the data variance, that results in the promotion of separability of data. Inspired by…

信号处理 · 电气工程与系统科学 2022-06-20 Xiaoqiang Hua , Yusuke Ono , Linyu Peng , Yuting Xu
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