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This paper considers $k$-means clustering in the presence of noise. It is known that $k$-means clustering is highly sensitive to noise, and thus noise should be removed to obtain a quality solution. A popular formulation of this problem is…

数据结构与算法 · 计算机科学 2020-04-14 Sungjin Im , Mahshid Montazer Qaem , Benjamin Moseley , Xiaorui Sun , Rudy Zhou

Outliers widely occur in big-data applications and may severely affect statistical estimation and inference. In this paper, a framework of outlier-resistant estimation is introduced to robustify an arbitrarily given loss function. It has a…

统计方法学 · 统计学 2023-04-20 Yiyuan She , Zhifeng Wang , Jiahui Shen

Outlier detection is critical in real applications to prevent financial fraud, defend network intrusions, or detecting imminent device failures. To reduce the human effort in evaluating outlier detection results and effectively turn the…

机器学习 · 计算机科学 2023-09-04 Yu Wang , Lei Cao , Yizhou Yan , Samuel Madden

In this paper, we consider outlier embeddings into HSTs. In particular, for metric $(X,d)$, let $k$ be the size of the smallest subset of $X$ such that all but that subset (the ``outlier set'') can be probabilistically embedded into the…

数据结构与算法 · 计算机科学 2026-02-03 Shuchi Chawla , Kristin Sheridan

We consider the problem of finding the matching map between two sets of $d$-dimensional noisy feature-vectors. The distinctive feature of our setting is that we do not assume that all the vectors of the first set have their corresponding…

统计理论 · 数学 2023-03-10 Arshak Minasyan , Tigran Galstyan , Sona Hunanyan , Arnak Dalalyan

In default theories, outliers denote sets of literals featuring unexpected properties. In previous papers, we have defined outliers in default logics and investigated their formal properties. Specifically, we have looked into the…

人工智能 · 计算机科学 2013-10-31 F. Angiulli , R. Ben-Eliyahu-Zohary , L. Palopoli

We consider the problem of principal component analysis (PCA) in the presence of outliers. Given a matrix $A$ ($d \times n$) and parameters $k, m$, the goal is to remove a set of at most $m$ columns of $A$ (known as outliers), so as to…

数据结构与算法 · 计算机科学 2018-05-14 Aditya Bhaskara , Srivatsan Kumar

Outliers are the points which are different from or inconsistent with the rest of the data. They can be novel, new, abnormal, unusual or noisy information. Outliers are sometimes more interesting than the majority of the data. The main…

计算机视觉与模式识别 · 计算机科学 2014-06-20 Singh Vijendra , Pathak Shivani

This paper considers the problem of recovering signals from compressed measurements contaminated with sparse outliers, which has arisen in many applications. In this paper, we propose a generative model neural network approach for…

信息论 · 计算机科学 2018-10-29 Jirong Yi , Anh Duc Le , Tianming Wang , Xiaodong Wu , Weiyu Xu

The outlier detection problem in some cases is similar to the classification problem. For example, the main concern of clustering-based outlier detection algorithms is to find clusters and outliers, which are often regarded as noise that…

机器学习 · 计算机科学 2014-05-25 M. H. Marghny , Ahmed I. Taloba

Outlier detection is an inevitable step to most statistical data analyses. However, the mere detection of an outlying case does not always answer all scientific questions associated with that data point. Outlier detection techniques,…

统计方法学 · 统计学 2019-12-12 Michiel Debruyne , Sebastiaan Höppner , Sven Serneels , Tim Verdonck

Nonlinear estimation in robotics and vision is typically plagued with outliers due to wrong data association, or to incorrect detections from signal processing and machine learning methods. This paper introduces two unifying formulations…

计算机视觉与模式识别 · 计算机科学 2021-07-05 Pasquale Antonante , Vasileios Tzoumas , Heng Yang , Luca Carlone

Modern neural networks are known to give overconfident prediction for out-of-distribution inputs when deployed in the open world. It is common practice to leverage a surrogate outlier dataset to regularize the model during training, and…

机器学习 · 计算机科学 2024-02-27 Wenyu Jiang , Hao Cheng , Mingcai Chen , Chongjun Wang , Hongxin Wei

An elastic-degenerate (ED) string is a sequence of $n$ sets of strings of total length $N$, which was recently proposed to model a set of similar sequences. The ED string matching (EDSM) problem is to find all occurrences of a pattern of…

数据结构与算法 · 计算机科学 2021-05-05 Giulia Bernardini , Paweł Gawrychowski , Nadia Pisanti , Solon P. Pissis , Giovanna Rosone

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

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

We consider the problem of outlier robust PCA (OR-PCA) where the goal is to recover principal directions despite the presence of outlier data points. That is, given a data matrix $M^*$, where $(1-\alpha)$ fraction of the points are noisy…

机器学习 · 计算机科学 2017-02-21 Yeshwanth Cherapanamjeri , Prateek Jain , Praneeth Netrapalli

The task of outlier detection is to find small groups of data objects that are exceptional when compared with rest large amount of data. Detection of such outliers is important for many applications such as fraud detection and customer…

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

This paper considers the problem of recovering signals modeled by generative models from linear measurements contaminated with sparse outliers. We propose an outlier detection approach for reconstructing the ground-truth signals modeled by…

机器学习 · 统计学 2023-10-17 Jirong Yi , Jingchao Gao , Tianming Wang , Xiaodong Wu , Weiyu Xu

Detecting a small number of outliers from a set of data observations is always challenging. This problem is more difficult in the setting of multiple network samples, where computing the anomalous degree of a network sample is generally not…

人工智能 · 计算机科学 2016-10-04 Xuan-Hong Dang , Arlei Silva , Ambuj Singh , Ananthram Swami , Prithwish Basu