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Principal component analysis (PCA) is a widely used technique for data analysis and dimension reduction with numerous applications in science and engineering. However, the standard PCA suffers from the fact that the principal components…

最优化与控制 · 数学 2009-07-14 Zhaosong Lu , Yong Zhang

Outlier detection is a well-researched and crucial problem in machine learning. However, there is little research on string data outlier detection, as most literature focuses on outlier detection of numerical data. A robust string data…

机器学习 · 计算机科学 2026-03-13 Philip Maus

Dimension reduction is useful for exploratory data analysis. In many applications, it is of interest to discover variation that is enriched in a "foreground" dataset relative to a "background" dataset. Recently, contrastive principal…

统计方法学 · 统计学 2021-05-04 Didong Li , Andrew Jones , Barbara Engelhardt

In diagnostic test accuracy meta-analysis (DTA-MA), standard inference methods using bivariate random-effects models for jointly synthesizing sensitivity and specificity can be sensitive to outlying studies and may yield misleading…

统计方法学 · 统计学 2026-05-01 Kotaro Sasaki , Hisashi Noma , Theodoros Evrenoglou

Outlier detection is one of the most important processes taken to create good, reliable data in machine learning. The most methods of outlier detection leverage an auxiliary reconstruction task by assuming that outliers are more difficult…

计算机视觉与模式识别 · 计算机科学 2022-11-23 Ning Huyan , Dou Quan , Xiangrong Zhang , Xuefeng Liang , Jocelyn Chanussot , Licheng Jiao

The process of particle picking, a crucial step in cryo-electron microscopy (cryo-EM) image analysis, often encounters challenges due to outliers, leading to inaccuracies in downstream processing. In response to this challenge, this…

定量方法 · 定量生物学 2024-09-10 Lev Kapnulin , Ayelet Heimowitz , Nir Sharon

Principal Component Analysis (PCA) is the most widely used tool for linear dimensionality reduction and clustering. Still it is highly sensitive to outliers and does not scale well with respect to the number of data samples. Robust PCA…

计算机视觉与模式识别 · 计算机科学 2015-04-24 Nauman Shahid , Vassilis Kalofolias , Xavier Bresson , Michael Bronstein , Pierre Vandergheynst

Most of existing outlier detection methods assume that the outlier factors (i.e., outlierness scoring measures) of data entities (e.g., feature values and data objects) are Independent and Identically Distributed (IID). This assumption does…

机器学习 · 计算机科学 2021-03-23 Guansong Pang , Longbing Cao , Ling Chen

Outlier detection amounts to finding data points that differ significantly from the norm. Classic outlier detection methods are largely designed for single data type such as continuous or discrete. However, real world data is increasingly…

机器学习 · 统计学 2016-08-18 Kien Do , Truyen Tran , Dinh Phung , Svetha Venkatesh

This paper investigates differentially private analysis of distance-based outliers. The problem of outlier detection is to find a small number of instances that are apparently distant from the remaining instances. On the other hand, the…

机器学习 · 统计学 2015-07-28 Rina Okada , Kazuto Fukuchi , Kazuya Kakizaki , Jun Sakuma

Principal component analysis (PCA) is known to be sensitive to outliers, so that various robust PCA variants were proposed in the literature. A recent model, called REAPER, aims to find the principal components by solving a convex…

数值分析 · 数学 2021-03-19 Robert Beinert , Gabriele Steidl

The literature on high-dimensional functional data focuses on either the dependence over time or the correlation among functional variables. In this paper, we propose a factor-guided functional principal component analysis (FaFPCA) method…

统计方法学 · 统计学 2022-11-23 Shoudao Wen , Huazhen Lin

We study semiparametric factor models in high-dimensional panels where the factor loadings consist of a nonparametric component explained by observed covariates and an idiosyncratic component capturing unobserved heterogeneity. A key…

统计方法学 · 统计学 2025-12-09 Sijie Zheng

The Laser Interferometer Space Antenna (LISA) will provide us with a unique opportunity to observe the early inspiral phase of supermassive binary black holes (SMBBHs) in the mass range of $10^5-10^6\,M_{\odot}$, that lasts for several…

广义相对论与量子宇宙学 · 物理学 2023-03-09 Sayantani Datta

A variety of interstellar complex organic molecules (COMs) have been detected in various physical conditions. However, in the protostellar and protoplanetary environments, their complex kinematics make line profiles blend each other and the…

星系天体物理 · 物理学 2023-09-19 Hyeong-Sik Yun , Jeong-Eun Lee

Classical discriminant analysis (DA) is based on the mean and empirical covariance matrix of each class, both of which are sensitive to outliers in the data. In the past the focus was on casewise outliers, that is, datapoints that lie far…

统计方法学 · 统计学 2026-05-29 Fabio Centofanti , Can Hakan Dagidir , Mia Hubert , Peter J. Rousseeuw

An improved mixture of probabilistic principal component analysis (PPCA) has been introduced for nonlinear data-driven process monitoring in this paper. To realize this purpose, the technique of a mixture of probabilistic principal…

统计方法学 · 统计学 2020-12-15 Jingxin Zhang , Hao Chen , Songhang Chen , Xia Hong

We propose a general approach to handle data contaminations that might disrupt the performance of feature selection and estimation procedures for high-dimensional linear models. Specifically, we consider the co-occurrence of mean-shift and…

统计方法学 · 统计学 2021-06-23 Luca Insolia , Francesca Chiaromonte , Runze Li , Marco Riani

This paper considers the problem of outlier detection in functional data analysis focusing particularly on the more difficult case of shape outliers. We present an inductive conformal anomaly detection method based on elastic functional…

统计方法学 · 统计学 2025-04-11 Jason Adams , Brandon Berman , Joshua Michalenko , J. Derek Tucker

A collection of robust Mahalanobis distances for multivariate outlier detection is proposed, based on the notion of shrinkage. Robust intensity and scaling factors are optimally estimated to define the shrinkage. Some properties are…

统计方法学 · 统计学 2020-01-06 Elisa Cabana , Rosa E. Lillo , Henry Laniado