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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

Probabilistic principal component analysis (PPCA) seeks a low dimensional representation of a data set in the presence of independent spherical Gaussian noise, Sigma = (sigma^2)*I. The maximum likelihood solution for the model is an…

机器学习 · 统计学 2011-06-23 Alfredo A. Kalaitzis , Neil D. Lawrence

Probabilistic principal component analysis (PPCA) is a probabilistic reformulation of principal component analysis (PCA), under the framework of a Gaussian latent variable model. To improve the robustness of PPCA, it has been proposed to…

统计方法学 · 统计学 2023-11-28 Yiping Guo , Howard D. Bondell

Principal Component Analysis (PCA) is an efficient tool to optimize the multiparameter tests of general relativity (GR) where one tests for simultaneous deviations in multiple post-Newtonian (PN) phasing coefficients by introducing…

广义相对论与量子宇宙学 · 物理学 2022-08-17 Sayantani Datta , M. Saleem , K. G. Arun , B. S. Sathyaprakash

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) is a popular tool for dimensionality reduction and feature extraction in data analysis. There is a probabilistic version of PCA, known as Probabilistic PCA (PPCA). However, standard PCA and PPCA are not…

机器学习 · 计算机科学 2019-04-16 Bowen Zhao , Xi Xiao , Wanpeng Zhang , Bin Zhang , Shutao Xia

In this paper, we propose an unified hyperspectral image classification method which takes three-dimensional hyperspectral data cube as an input and produces a classification map. In the proposed method, a deep neural network which uses…

计算机视觉与模式识别 · 计算机科学 2019-05-23 Berkan Demirel , Omer Ozdil , Yunus Emre Esin , Safak Ozturk

The implementation of conventional sparse principal component analysis (SPCA) on high-dimensional data sets has become a time consuming work. In this paper, a series of subspace projections are constructed efficiently by using Household QR…

机器学习 · 统计学 2019-12-09 Cong Xu , Min Yang , Jin Zhang

Spectral graph theory-based methods represent an important class of tools for studying the structure of networks. Spectral methods are based on a first-order Markov chain derived from a random walk on the graph and thus they cannot take…

社会与信息网络 · 计算机科学 2018-01-08 Austin R. Benson , David F. Gleich , Jure Leskovec

Matrix factorizations and their extensions to tensor factorizations and decompositions have become prominent techniques for linear and multilinear blind source separation (BSS), especially multiway Independent Component Analysis (ICA),…

数值分析 · 计算机科学 2013-05-03 Andrzej Cichocki

Text categorization (TC) is the task of automatically organizing a set of documents into a set of pre-defined categories. Over the last few years, increased attention has been paid to the use of documents in digital form and this makes text…

信息检索 · 计算机科学 2018-07-10 Ahmed I. Taloba , D. A. Eisa , Safaa S. I. Ismail

This work includes all the technical details of the Sequential Principal Curves Analysis (SPCA) in a single document. SPCA is an unsupervised nonlinear and invertible feature extraction technique. The identified curvilinear features can be…

机器学习 · 统计学 2016-06-06 Valero Laparra , Jesus Malo

A PCA based sequence-to-vector (seq2vec) dimension reduction method for the text classification problem, called the tree-structured multi-stage principal component analysis (TMPCA) is presented in this paper. Theoretical analysis and…

计算与语言 · 计算机科学 2018-10-12 Yuanhang Su , Ruiyuan Lin , C. -C. Jay Kuo

Principal component analysis (PCA) is a widely used dimension reduction tool in the analysis of many kind of high-dimensional data. It is used in signal processing, mechanical engineering, psychometrics, and other fields under different…

统计方法学 · 统计学 2014-01-15 Ngoc Mai Tran , Maria Osipenko , Wolfgang Karl Haerdle

Hyperspectral images are of crucial importance in order to better understand features of different materials. To reach this goal, they leverage on a high number of spectral bands. However, this interesting characteristic is often paid by a…

图像与视频处理 · 电气工程与系统科学 2020-06-01 Jin-Fan Hu , Ting-Zhu Huang , Liang-Jian Deng , Tai-Xiang Jiang , Gemine Vivone , Jocelyn Chanussot

We consider principal component analysis (PCA) in decomposable Gaussian graphical models. We exploit the prior information in these models in order to distribute its computation. For this purpose, we reformulate the problem in the sparse…

机器学习 · 统计学 2015-05-13 Ami Wiesel , Alfred O. Hero

In this work we use the persistent homology method, a technique in topological data analysis (TDA), to extract essential topological features from the data space and combine them with deep learning features for classification tasks. In TDA,…

计算机视觉与模式识别 · 计算机科学 2023-11-14 Mariana Dória Prata Lima , Gilson Antonio Giraldi , Gastão Florêncio Miranda Junior

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…

机器学习 · 计算机科学 2013-10-25 Nikos Karampatziakis , Paul Mineiro

In this work, we present tensor-based linear and nonlinear models for hyperspectral data classification and analysis. By exploiting principles of tensor algebra, we introduce new classification architectures, the weight parameters of which…

计算机视觉与模式识别 · 计算机科学 2018-12-26 Konstantinos Makantasis , Anastasios Doulamis , Nikolaos Doulamis , Antonis Nikitakis

The extraction of contrast-filled vessels from X-ray coronary angiography (XCA) image sequence has important clinical significance for intuitively diagnosis and therapy. In this study, the XCA image sequence is regarded as a 3D tensor…

计算机视觉与模式识别 · 计算机科学 2023-02-28 Zeyu Fu , Zhuang Fu , Chenzhuo Lu , Jun Yan , Jian Fei , Hui Han
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