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In a corpus of data, outliers are either errors: mistakes in the data that are counterproductive, or are unique: informative samples that improve model robustness. Identifying outliers can lead to better datasets by (1) removing noise in…

Using methods of statistical mechanics, we analyse the effect of outliers on the supervised learning of a classification problem. The learning strategy aims at selecting informative examples and discarding outliers. We compare two…

Disordered Systems and Neural Networks · Physics 2009-10-31 Rainer Dietrich , Manfred Opper

We consider functional outlier detection from a geometric perspective, specifically: for functional data sets drawn from a functional manifold which is defined by the data's modes of variation in amplitude and phase. Based on this manifold,…

Machine Learning · Statistics 2021-09-15 Moritz Herrmann , Fabian Scheipl

We propose PODS (Predictable Outliers in Data-trendS), a method that, given a collection of temporal data sets, derives data-driven explanations for outliers by identifying meaningful relationships between them. First, we formalize the…

Databases · Computer Science 2020-04-10 Aline Bessa , Juliana Freire , Divesh Srivastava , Tamraparni Dasu

The development of effective knowledge discovery techniques has become in the recent few years a very active research area due to the important impact it has in several relevant application areas. One interesting task thereof is that of…

Artificial Intelligence · Computer Science 2007-05-23 Fabrizio Angiulli , Gianluigi Greco , Luigi Palopoli

Many traditional methods for identifying changepoints can struggle in the presence of outliers, or when the noise is heavy-tailed. Often they will infer additional changepoints in order to fit the outliers. To overcome this problem, data…

Methodology · Statistics 2017-07-12 Paul Fearnhead , Guillem Rigaill

Outlier is the term that indicates in statistics an anomalous observation, aberrant, clearly distant from others collected observations. The outliers are the subject to animated discussions in various contexts with regard to be or not to be…

Applications · Statistics 2014-03-24 Gianluca Rosso

This paper presents a new approach for detecting outliers by introducing the notion of object's proximity. The main idea is that normal point has similar characteristics with several neighbors. So the point in not an outlier if it has a…

Computer Vision and Pattern Recognition · Computer Science 2014-11-26 Amina Dik , Khalid Jebari , Abdelaziz Bouroumi , Aziz Ettouhami

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…

Methodology · Statistics 2023-04-20 Yiyuan She , Zhifeng Wang , Jiahui Shen

Disease control experts inspect public health data streams daily for outliers worth investigating, like those corresponding to data quality issues or disease outbreaks. However, they can only examine a few of the thousands of maximally-tied…

Artificial Intelligence · Computer Science 2024-01-04 Ananya Joshi , Tina Townes , Nolan Gormley , Luke Neureiter , Roni Rosenfeld , Bryan Wilder

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…

Artificial Intelligence · Computer Science 2016-10-04 Xuan-Hong Dang , Arlei Silva , Ambuj Singh , Ananthram Swami , Prithwish Basu

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…

Information Theory · Computer Science 2014-04-02 Yun Li , Sirin Nitinawarat , Venugopal V. Veeravalli

We study a novel outlier detection problem that aims to identify abnormal input-output associations in data, whose instances consist of multi-dimensional input (context) and output (responses) pairs. We present our approach that works by…

Artificial Intelligence · Computer Science 2017-08-04 Charmgil Hong , Siqi Liu , Milos Hauskrecht

It has become routine in neuroscience studies to measure brain networks for different individuals using neuroimaging. These networks are typically expressed as adjacency matrices, with each cell containing a summary of connectivity between…

Methodology · Statistics 2022-06-30 Pritam Dey , Zhengwu Zhang , David B. Dunson

This paper considers the problem of outlier detection in functional data analysis focusing particularly on the more difficult case of shape outliers. We present an inductive conformal anomaly detection method based on elastic functional…

Methodology · Statistics 2025-04-11 Jason Adams , Brandon Berman , Joshua Michalenko , J. Derek Tucker

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…

Databases · Computer Science 2021-10-22 Daichi Amagata , Makoto Onizuka , Takahiro Hara

Outlying observations are frequently encountered across a wide spectrum of scientific domains, posing notable challenges to the generalizability of statistical models and the reproducibility of downstream analysis. They are identified…

Methodology · Statistics 2026-03-17 Dongliang Zhang , Masoud Asgharian , Martin A. Lindquist

Ordinary least square (OLS) estimation of a linear regression model is well-known to be highly sensitive to outliers. It is common practice to (1) identify and remove outliers by looking at the data and (2) to fit OLS and form confidence…

Methodology · Statistics 2019-08-13 Shuxiao Chen , Jacob Bien

Several algorithms have been proposed for discovering patterns from trajectories of moving objects, but only a few have concentrated on outlier detection. Existing approaches, in general, discover spatial outliers, and do not provide any…

Artificial Intelligence · Computer Science 2013-03-22 Vitor Cunha Fontes , Vania Bogorny

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…

Methodology · Statistics 2018-11-14 Matias Heikkilä