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Outlier detection is a major topic in robust statistics due to the high practical significance of anomalous observations. Many existing methods are, however, either parametric or cease to perform well when the data is far from linearly…

统计方法学 · 统计学 2018-11-14 Matias Heikkilä

This paper investigates the {\em nonasymptotic} properties of Bayes procedures for estimating an unknown distribution from $n$ i.i.d.\ observations. We assume that the prior is supported by a model $(\scr{S},h)$ (where $h$ denotes the…

统计理论 · 数学 2014-11-03 Lucien Birgé

Outlier detection has gained increasing interest in recent years, due to newly emerging technologies and the huge amount of high-dimensional data that are now available. Outlier detection can help practitioners to identify unwanted noise…

统计理论 · 数学 2021-05-20 Mads Lindskou , Torben Tvedebrink , Poul Svante Eriksen , Niels Morling

This paper studies the construction of p-values for nonparametric outlier detection, taking a multiple-testing perspective. The goal is to test whether new independent samples belong to the same distribution as a reference data set or are…

统计方法学 · 统计学 2024-03-12 Stephen Bates , Emmanuel Candès , Lihua Lei , Yaniv Romano , Matteo Sesia

We revisit the outlier hypothesis testing framework of Li \emph{et al.} (TIT 2014) and derive fundamental limits for the optimal test. In outlier hypothesis testing, one is given multiple observed sequences, where most sequences are…

统计理论 · 数学 2022-05-17 Lin Zhou , Yun Wei , Alfred Hero

There exist multiple methods to detect outliers in multivariate data in the literature, but most of them require to estimate the covariance matrix. The higher the dimension, the more complex the estimation of the matrix becoming impossible…

统计方法学 · 统计学 2020-12-01 P. Navarro-Esteban , J. A. Cuesta-Albertos

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

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

We propose a new assumption in outlier detection: Normal data instances are commonly located in the area that there is hardly any fluctuation on data density, while outliers are often appeared in the area that there is violent fluctuation…

机器学习 · 计算机科学 2020-06-09 Ding Liu , Hui Li

Out-of-distribution (OOD) detection is an important task in machine learning systems for ensuring their reliability and safety. Deep probabilistic generative models facilitate OOD detection by estimating the likelihood of a data sample.…

机器学习 · 计算机科学 2021-06-16 Jaemoo Choi , Changyeon Yoon , Jeongwoo Bae , Myungjoo Kang

A new method for outlier detection and generation is introduced by lifting data into the space of probability distributions which are not analytically expressible, but from which samples can be drawn using a neural generator. Given a…

机器学习 · 计算机科学 2020-12-24 Stefano Giovanni Rizzo , Linsey Pang , Yixian Chen , Sanjay Chawla

A novel method for sequential outlier detection in non-stationary time series is proposed. The method tests the null hypothesis of ``no outlier'' at each time point, addressing the multiple testing problem by bounding the error probability…

统计理论 · 数学 2025-02-26 Florian Heinrichs , Patrick Bastian , Holger Dette

Outlier detection can serve as an extremely important tool for researchers from a wide range of fields. From the sectors of banking and marketing to the social sciences and healthcare sectors, outlier detection techniques are very useful…

统计方法学 · 统计学 2023-12-12 Efthymios Costa , Ioanna Papatsouma

Extreme value theory has constructed asymptotic properties of the sample maximum. This study concerns probability distribution estimation of the sample maximum. The traditional approach is parametric fitting to the limiting distribution --…

统计理论 · 数学 2024-07-19 Taku Moriyama

In this work, we revisit outlier hypothesis testing and propose exponentially consistent, low-complexity fixed-length tests that achieve a better tradeoff between detection performance and computational complexity than existing…

信号处理 · 电气工程与系统科学 2026-01-28 Lina Zhu , Lin Zhou

Pulsar-timing datasets have been analyzed with great success using probabilistic treatments based on Gaussian distributions, with applications ranging from studies of neutron-star structure to tests of general relativity and searches for…

天体物理仪器与方法 · 物理学 2017-02-01 Michele Vallisneri , Rutger van Haasteren

Reliable outlier detection in high-dimensional data is crucial in modern science, yet it remains a challenging task. Traditional methods often break down in these settings due to their reliance on asymptotic behaviors with respect to sample…

统计方法学 · 统计学 2025-11-05 Seong-ho Lee , Yongho Jeon

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 aims to identify unusual data instances that deviate from expected patterns. The outlier detection is particularly challenging when outliers are context dependent and when they are defined by unusual combinations of…

人工智能 · 计算机科学 2015-05-18 Charmgil Hong , Milos Hauskrecht

Universal outlier hypothesis testing is studied in a sequential setting. Multiple observation sequences are collected, a small subset of which are outliers. A sequence is considered an outlier if the observations in that sequence are…

统计理论 · 数学 2014-11-27 Yun Li , Sirin Nitinawarat , Venugopal V. Veeravalli
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