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The sum of radii problem is a classical clustering problem in which, given a set $X$ of points and an integer $k$, the goal is to place $k$ balls that cover $X$ while minimizing the sum of their radii. Recent work has focused on…

数据结构与算法 · 计算机科学 2026-04-27 Ameet Gadekar

The task of outlier detection is to find small groups of data objects that are exceptional when compared with rest large amount of data. In [38], the problem of outlier detection in categorical data is defined as an optimization problem and…

数据库 · 计算机科学 2007-05-23 Zengyou He , Xiaofei Xu , Shengchun Deng

Many computer vision tasks involve processing large amounts of data contaminated by outliers, which need to be detected and rejected. While outlier detection methods based on robust statistics have existed for decades, only recently have…

计算机视觉与模式识别 · 计算机科学 2017-04-14 Chong You , Daniel P. Robinson , René Vidal

We introduce and develop a novel approach to outlier detection based on adaptation of random subspace learning. Our proposed method handles both high-dimension low-sample size and traditional low-dimensional high-sample size datasets.…

机器学习 · 统计学 2015-05-05 Bohan Liu , Ernest Fokoue

In high reliability standards fields such as automotive, avionics or aerospace, the detection of anomalies is crucial. An efficient methodology for automatically detecting multivariate outliers is introduced. It takes advantage of the…

统计方法学 · 统计学 2018-08-01 Aurore Archimbaud , Klaus Nordhausen , Anne Ruiz-Gazen

We give a constant factor polynomial time pseudo-approximation algorithm for min-sum clustering with or without outliers. The algorithm is allowed to exclude an arbitrarily small constant fraction of the points. For instance, we show how to…

数据结构与算法 · 计算机科学 2020-11-25 Sandip Banerjee , Rafail Ostrovsky , Yuval Rabani

A pattern $\alpha$ is a string of variables and terminal letters. We say that $\alpha$ matches a word $w$, consisting only of terminal letters, if $w$ can be obtained by replacing the variables of $\alpha$ by terminal words. The matching…

数据结构与算法 · 计算机科学 2021-06-14 Paweł Gawrychowski , Florin Manea , Stefan Siemer

The HDoutliers algorithm is a powerful unsupervised algorithm for detecting anomalies in high-dimensional data, with a strong theoretical foundation. However, it suffers from some limitations that significantly hinder its performance level,…

机器学习 · 统计学 2019-08-13 Priyanga Dilini Talagala , Rob J. Hyndman , Kate Smith-Miles

Spatial perception is the backbone of many robotics applications, and spans a broad range of research problems, including localization and mapping, point cloud alignment, and relative pose estimation from camera images. Robust spatial…

机器学习 · 统计学 2019-07-31 Vasileios Tzoumas , Pasquale Antonante , Luca Carlone

In this paper we consider the $p$-Norm Hamming Centroid problem which asks to determine whether some given binary strings have a centroid with a bound on the $p$-norm of its Hamming distances to the strings. Specifically, given a set of…

计算复杂性 · 计算机科学 2019-06-28 Jiehua Chen , Danny Hermelin , Manuel Sorge

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

Anomalies (or outliers) are prevalent in real-world empirical observations and potentially mask important underlying structures. Accurate identification of anomalous samples is crucial for the success of downstream data analysis tasks. To…

机器学习 · 计算机科学 2022-08-25 Ofir Lindenbaum , Yariv Aizenbud , Yuval Kluger

Learning from data in the presence of outliers is a fundamental problem in statistics. Until recently, no computationally efficient algorithms were known to compute the mean of a high dimensional distribution under natural assumptions in…

数据结构与算法 · 计算机科学 2021-01-22 Yeshwanth Cherapanamjeri , Sidhanth Mohanty , Morris Yau

The goal of ordinal embedding is to represent items as points in a low-dimensional Euclidean space given a set of constraints in the form of distance comparisons like "item $i$ is closer to item $j$ than item $k$". Ordinal constraints like…

机器学习 · 统计学 2016-06-24 Lalit Jain , Kevin Jamieson , Robert Nowak

Impulsed noise outliers are data points that differs significantly from other observations.They are generally removed from the data set through local regression or Kalman filter algorithm.However, these methods, or their generalizations,…

统计方法学 · 统计学 2022-08-02 Bertrand Cloez , Bénédicte Fontez , Eliel González García , Isabelle Sanchez

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

Understanding the evolution of a set of genes or species is a fundamental problem in evolutionary biology. The problem we study here takes as input a set of trees describing {possibly discordant} evolutionary scenarios for a given set of…

数据结构与算法 · 计算机科学 2019-07-10 Cedric Chauve , Mark Jones , Manuel Lafond , Céline Scornavacca , Mathias Weller

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

信息论 · 计算机科学 2014-04-02 Yun Li , Sirin Nitinawarat , Venugopal V. Veeravalli

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

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…