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Given a real-valued function $f$ defined over a manifold $M$ embedded in $\mathbb{R}^d$, we are interested in recovering structural information about $f$ from the sole information of its values on a finite sample $P$. Existing methods…

计算几何 · 计算机科学 2015-04-08 Mickaël Buchet , Frédéric Chazal , Tamal K. Dey , Fengtao Fan , Steve Y. Oudot , Yusu Wang

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

In this paper we introduce a new method for detecting outliers in a set of proportions. It is based on the construction of a suitable two-way contingency table and on the application of an algorithm for the detection of outlying cells in…

统计方法学 · 统计学 2016-08-04 Flavio Mignone , Fabio Rapallo

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

Outlier recognition is a fundamental problem in data analysis and has attracted a great deal of attention in the past decades. However, most existing methods still suffer from several issues such as high time and space complexities or…

计算几何 · 计算机科学 2019-04-09 Hu Ding , Mingquan Ye

Over the decades, traditional outlier detectors have ignored the group-level factor when calculating outlier scores for objects in data by evaluating only the object-level factor, failing to capture the collective outliers. To mitigate this…

机器学习 · 计算机科学 2022-12-22 Jiawei Yang , Yu Chen , Sylwan Rahardja

This paper presents a simple but effective density-based outlier detection approach with the local kernel density estimation (KDE). A Relative Density-based Outlier Score (RDOS) is introduced to measure the local outlierness of objects, in…

人工智能 · 计算机科学 2016-06-29 Bo Tang , Haibo He

In this work we apply and expand on a recently introduced outlier detection algorithm that is based on an unsupervised random forest. We use the algorithm to calculate a similarity measure for stellar spectra from the Apache Point…

天体物理仪器与方法 · 物理学 2018-05-29 Itamar Reis , Dovi Poznanski , Dalya Baron , Gail Zasowski , Sahar Shahaf

Many machine learning classification systems lack competency awareness. Specifically, many systems lack the ability to identify when outliers (e.g., samples that are distinct from and not represented in the training data distribution) are…

机器学习 · 计算机科学 2020-07-03 Matthew Cook , Alina Zare , Paul Gader

This study addresses an important gap in time series outlier detection by proposing a novel problem setting: long-term outlier prediction. Conventional methods primarily focus on immediate detection by identifying deviations from normal…

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

We propose a new method to visualize and detect shape outliers in samples of curves. In functional data analysis we observe curves defined over a given real interval and shape outliers are those curves that exhibit a different shape from…

统计计算 · 统计学 2013-10-01 Ana Arribas-Gil , Juan Romo

In epidemic modeling, outliers can distort parameter estimation and ultimately lead to misguided public health decisions. Although there are existing robust methods that can mitigate this distortion, the ability to simultaneously detect…

统计方法学 · 统计学 2025-07-15 Haoming Shi , Shan Yu , Eric C. Chi

Machine learning and data analysis have been used in many robotics fields, especially for modelling. Data are usually the result of sensor measurements and, as such, they might be subjected to noise and outliers. The presence of outliers…

机器人学 · 计算机科学 2019-08-26 Francesco Cursi , Guang-Zhong Yang

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

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

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

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

Distance-based outlier detection is widely adopted in many fields, e.g., data mining and machine learning, because it is unsupervised, can be employed in a generic metric space, and does not have any assumptions of data distributions. Data…

数据库 · 计算机科学 2021-10-22 Daichi Amagata , Makoto Onizuka , Takahiro Hara

We propose a new outlier detection method for multi-dimensional data. The method detects outliers based on vector cosine similarity, using a new dataset constructed by adding a dimension with zero values to the original data. When a point…

机器学习 · 计算机科学 2026-01-06 Zhongyang Shen