中文
相关论文

相关论文: PCA leverage: outlier detection for high-dimension…

200 篇论文

Principal component analysis (PCA) is an important tool in exploring data. The conventional approach to PCA leads to a solution which favours the structures with large variances. This is sensitive to outliers and could obfuscate interesting…

统计方法学 · 统计学 2015-06-16 A. A. Akinduko , A. N. Gorban

Principal component analysis (PCA) is a widely used method for data processing, such as for dimension reduction and visualization. Standard PCA is known to be sensitive to outliers, and thus, various robust PCA methods have been proposed.…

机器学习 · 统计学 2020-08-11 Keishi Sando , Hideitsu Hino

Principal component analysis (PCA) is a widely used dimension reduction method, but its performance is known to be non-robust to outliers. Recently, product-PCA (PPCA) has been shown to possess the efficiency-loss free ordering-robustness…

统计理论 · 数学 2024-12-17 Hung Hung , Chi-Chun Yeh , Su-Yun Huang

We propose a novel procedure for outlier detection in functional data, in a semi-supervised framework. As the data is functional, we consider the coefficients obtained after projecting the observations onto orthonormal bases (wavelet, PCA).…

A principal component analysis (PCA) of clean microcalorimeter pulse records can be a first step beyond statistically optimal linear filtering of pulses towards a fully non-linear analysis. For PCA to be practical on spectrometers with…

数据分析、统计与概率 · 物理学 2020-01-08 J. W. Fowler , B. K. Alpert , Y. -I. Joe , G. C. O'Neil , D. S. Swetz , J. N. Ullom

The Projection Congruent Subset (PCS) Outlyingness is a new index of multivariate outlyingness obtained by considering univariate projections of the data. Like many other outlier detection procedures, PCS searches for a subset which…

统计方法学 · 统计学 2013-08-01 Kaveh Vakili , Eric Schmitt

Commonly used in computer vision and other applications, robust PCA represents an algorithmic attempt to reduce the sensitivity of classical PCA to outliers. The basic idea is to learn a decomposition of some data matrix of interest into…

计算机视觉与模式识别 · 计算机科学 2016-10-10 Tae-Hyun Oh , Yasuyuki Matsushita , In So Kweon , David Wipf

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

From the past decade outlier detection has been in use. Detection of outliers is an emerging topic and is having robust applications in medical sciences and pharmaceutical sciences. Outlier detection is used to detect anomalous behaviour of…

计算工程、金融与科学 · 计算机科学 2013-12-13 Doreswamy , Chanabasayya . M. Vastrad

In this paper, we propose a novel approach for outlier detection, called local projections, which is based on concepts of Local Outlier Factor (LOF) (Breunig et al., 2000) and RobPCA (Hubert et al., 2005). By using aspects of both methods,…

统计方法学 · 统计学 2017-08-07 Thomas Ortner , Peter Filzmoser , Maia Zaharieva , Sarka Brodinova , Christian Breiteneder

We study principal component analysis (PCA), where given a dataset in $\mathbb{R}^d$ from a distribution, the task is to find a unit vector $v$ that approximately maximizes the variance of the distribution after being projected along $v$.…

机器学习 · 计算机科学 2023-05-05 Ilias Diakonikolas , Daniel M. Kane , Ankit Pensia , Thanasis Pittas

High-dimensional data poses unique challenges in outlier detection process. Most of the existing algorithms fail to properly address the issues stemming from a large number of features. In particular, outlier detection algorithms perform…

机器学习 · 计算机科学 2020-09-22 Firuz Kamalov , Ho Hon Leung

The idea of Innovation Search, which was initially proposed for data clustering, was recently used for outlier detection. In the application of Innovation Search for outlier detection, the directions of innovation were utilized to measure…

机器学习 · 统计学 2021-06-24 Mostafa Rahmani , Ping Li

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

Outlier detection is an important problem occurring in a wide range of areas. Outliers are the outcome of fraudulent behaviour, mechanical faults, human error, or simply natural deviations. Many data mining applications perform outlier…

机器学习 · 计算机科学 2025-10-28 Juan A. Lara , David Lizcano , Víctor Rampérez , Javier Soriano

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

We propose a novel unsupervised outlier detection method based on Randomized Principal Component Analysis (PCA). Motivated by the performance of Randomized PCA (RPCA) Forest in approximate K-Nearest Neighbor (KNN) search, we develop a novel…

机器学习 · 计算机科学 2026-05-12 Muhammad Rajabinasab , Farhad Pakdaman , Moncef Gabbouj , Peter Schneider-Kamp , Arthur Zimek

Imaging genetic research has essentially focused on discovering unique and co-association effects, but typically ignoring to identify outliers or atypical objects in genetic as well as non-genetics variables. Identifying significant…

机器学习 · 统计学 2016-06-02 Md Ashad Alam , Yu-Ping Wang

In this paper, we introduce new algorithms for Principal Component Analysis (PCA) with outliers. Utilizing techniques from computational geometry, specifically higher-degree Voronoi diagrams, we navigate to the optimal subspace for PCA even…

机器学习 · 计算机科学 2025-10-07 Sajjad Hashemian , Mohammad Saeed Arvenaghi , Ebrahim Ardeshir-Larijani

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