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The Sorted L-One Estimator (SLOPE) is a popular regularization method in regression, which induces clustering of the estimated coefficients. That is, the estimator can have coefficients of identical magnitude. In this paper, we derive an…

统计理论 · 数学 2023-04-17 Ivan Hejný , Jonas Wallin , Małgorzata Bogdan

Despite tremendous progress in outlier detection research in recent years, the majority of existing methods are designed only to detect unconditional outliers that correspond to unusual data patterns expressed in the joint space of all data…

机器学习 · 计算机科学 2016-12-23 Charmgil Hong , Milos Hauskrecht

In this work we introduce a novel adaptive anomaly detection framework specifically designed for monitoring sequential random finite set (RFS) observations. Our approach effectively distinguishes between In-Control data (normal) and…

机器学习 · 计算机科学 2025-11-25 Konstantinos Bourazas , Savvas Papaioannou , Panayiotis Kolios

Anomaly detection is to recognize samples that differ in some respect from the training observations. These samples which do not conform to the distribution of normal data are called outliers or anomalies. In real-world anomaly detection…

计算机视觉与模式识别 · 计算机科学 2022-07-05 Vahid Reza Khazaie , Anthony Wong , Yalda Mohsenzadeh

We consider outlier-robust and sparse estimation of linear regression coefficients, when the covariates and the noises are contaminated by adversarial outliers and noises are sampled from a heavy-tailed distribution. Our results present…

统计理论 · 数学 2024-05-27 Takeyuki Sasai , Hironori Fujisawa

Principal component regression uses principal components as regressors. It is particularly useful in prediction settings with high-dimensional covariates. The existing literature treating of Bayesian approaches is relatively sparse. We…

统计方法学 · 统计学 2020-01-28 Philippe Gagnon , Mylène Bédard , Alain Desgagné

Most multivariate outlier detection procedures ignore the spatial dependency of observations, which is present in many real data sets from various application areas. This paper introduces a new outlier detection method that accounts for a…

统计方法学 · 统计学 2024-01-25 Patricia Puchhammer , Peter Filzmoser

Several areas have been improved with Deep Learning during the past years. Implementing Deep Neural Networks (DNN) for non-safety related applications have shown remarkable achievements over the past years; however, for using DNNs in safety…

Outlier detection (OD) literature exhibits numerous algorithms as it applies to diverse domains. However, given a new detection task, it is unclear how to choose an algorithm to use, nor how to set its hyperparameter(s) (HPs) in…

机器学习 · 计算机科学 2022-10-20 Xueying Ding , Lingxiao Zhao , Leman Akoglu

For data segmentation in high-dimensional linear regression settings, the regression parameters are often assumed to be sparse segment-wise, which enables many existing methods to estimate the parameters locally via $\ell_1$-regularised…

统计方法学 · 统计学 2026-05-08 Haeran Cho , Tobias Kley , Housen Li

Model mis-specification (e.g. the presence of outliers) is commonly encountered in astronomical analyses, often requiring the use of ad hoc algorithms which are sensitive to arbitrary thresholds (e.g. sigma-clipping). For any given dataset,…

天体物理仪器与方法 · 物理学 2025-09-03 William Martin , Daniel J. Mortlock

Outliers are ubiquitous in modern data sets. Distance-based techniques are a popular non-parametric approach to outlier detection as they require no prior assumptions on the data generating distribution and are simple to implement. Scaling…

机器学习 · 统计学 2016-05-04 Mario Lucic , Olivier Bachem , Andreas Krause

We consider the multi-class classification problem when the training data and the out-of-sample test data may have different distributions and propose a method called BCOPS (balanced and conformal optimized prediction sets). BCOPS…

统计方法学 · 统计学 2019-06-26 Leying Guan , Rob Tibshirani

The functional linear model is an important extension of the classical regression model allowing for scalar responses to be modeled as functions of stochastic processes. Yet, despite the usefulness and popularity of the functional linear…

统计方法学 · 统计学 2025-11-27 Ioannis Kalogridis , Stanislav Nagy

Anomaly subsequence detection is to detect inconsistent data, which always contains important information, among time series. Due to the high dimensionality of the time series, traditional anomaly detection often requires a large time…

机器学习 · 计算机科学 2019-07-02 Chunkai Zhang , Yingyang Chen , Ao Yin

Detecting which nodes in graphs are outliers is a relatively new machine learning task with numerous applications. Despite the proliferation of algorithms developed in recent years for this task, there has been no standard comprehensive…

We study two problems in high-dimensional robust statistics: \emph{robust mean estimation} and \emph{outlier detection}. In robust mean estimation the goal is to estimate the mean $\mu$ of a distribution on $\mathbb{R}^d$ given $n$…

数据结构与算法 · 计算机科学 2019-06-28 Yihe Dong , Samuel B. Hopkins , Jerry Li

Various technologies, including computer vision models, are employed for the automatic monitoring of manual assembly processes in production. These models detect and classify events such as the presence of components in an assembly area or…

计算机视觉与模式识别 · 计算机科学 2026-01-21 Anton Sergeev , Victor Minchenkov , Aleksei Soldatov , Vasiliy Kakurin , Yaroslav Mazikov

Outlier or anomaly detection is an important task in data analysis. We discuss the problem from a geometrical perspective and provide a framework that exploits the metric structure of a data set. Our approach rests on the manifold…

机器学习 · 统计学 2022-08-01 Moritz Herrmann , Florian Pfisterer , Fabian Scheipl

Outlier detection is an integral part of robust evaluation for crowdsourceable Quality of Experience (QoE) and has attracted much attention in recent years. In QoE for multimedia, outliers happen because of different test conditions, human…

多媒体 · 计算机科学 2014-10-23 Qianqian Xu , Ming Yan , Yuan Yao