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The direction of outlyingness is crucial to describing the centrality of multivariate functional data. Motivated by this idea, we generalize classical depth to directional outlyingness for functional data. We investigate theoretical…

Methodology · Statistics 2018-04-24 Wenlin Dai , Marc G. Genton

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

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…

Methodology · Statistics 2025-11-05 Seong-ho Lee , Yongho Jeon

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…

Statistics Theory · Mathematics 2021-05-20 Mads Lindskou , Torben Tvedebrink , Poul Svante Eriksen , Niels Morling

Revenue management strongly relies on accurate forecasts. Thus, when extraordinary events cause outlier demand, revenue management systems need to recognise this and adapt both forecast and controls. Many passenger transport service…

Methodology · Statistics 2021-02-10 Nicola Rennie , Catherine Cleophas , Adam M. Sykulski , Florian Dost

Anomalies in economic and financial data -- often linked to rare yet impactful events -- are of theoretical interest, but can also severely distort inference. Although outlier-robust methodologies can be used, many researchers prefer…

Methodology · Statistics 2025-09-01 Monica Billio , Roberto Casarin , Fausto Corradin , Antonio Peruzzi

Outlier detection plays an essential role in many data-driven applications to identify isolated instances that are different from the majority. While many statistical learning and data mining techniques have been used for developing more…

Machine Learning · Computer Science 2018-05-08 Ninghao Liu , Donghwa Shin , Xia Hu

Machine learning techniques can automatically identify outliers in massive datasets, much faster and more reproducible than human inspection ever could. But finding such outliers immediately leads to the question: which features render this…

Machine Learning · Computer Science 2023-11-01 Jeff Shen , Peter Melchior

Outlier detection refers to the identification of anomalous samples that deviate significantly from the distribution of normal data and has been extensively studied and used in a variety of practical tasks. However, most unsupervised…

Machine Learning · Computer Science 2025-01-07 Can Gao , Xiaofeng Tan , Jie Zhou , Weiping Ding , Witold Pedrycz

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…

Machine Learning · Computer Science 2020-06-09 Ding Liu , Hui Li

Rare data in a large-scale database are called outliers that reveal significant information in the real world. The subspace-based outlier detection is regarded as a feasible approach in very high dimensional space. However, the outliers…

Artificial Intelligence · Computer Science 2014-05-06 Zhana Bao

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…

Machine Learning · Computer Science 2016-12-23 Charmgil Hong , Milos Hauskrecht

From the past decade outlier detection has been in use. Detection of outliers is an emerging topic and is having robust applications in medical sciences and pharmaceutical sciences. Outlier detection is used to detect anomalous behaviour of…

Computational Engineering, Finance, and Science · Computer Science 2013-12-13 Doreswamy , Chanabasayya . M. Vastrad

Additive manufacturing (AM), also known as 3D printing, is one of the most promising digital manufacturing technologies, thanks to its potential to produce highly complex geometries rapidly. AM has been promoted from a prototyping…

Applications · Statistics 2021-10-22 Ahmad Mozaffari , Shojaeddin Chenouri , Ehsan Toyserkani , Usman Ali

In this paper we describe an approach for anomaly detection and its explainability in multivariate functional data. The anomaly detection procedure consists of transforming the series into a vector of features and using an Isolation forest…

Machine Learning · Statistics 2022-05-09 Mathieu Cura , Katarina Firdova , Céline Labart , Arthur Martel

A multivariate dataset consists of $n$ cases in $d$ dimensions, and is often stored in an $n$ by $d$ data matrix. It is well-known that real data may contain outliers. Depending on the situation, outliers may be (a) undesirable errors which…

Methodology · Statistics 2019-10-08 Peter J. Rousseeuw , Wannes Van den Bossche

Classification is the basis of cognition. Unlike other solutions, this study approaches it from the view of outliers. We present an expanding algorithm to detect outliers in univariate datasets, together with the underlying foundation. The…

Artificial Intelligence · Computer Science 2012-01-04 C. A. Hsiao

Functional linear regression is a widely used approach to model functional responses with respect to functional inputs. However, classical functional linear regression models can be severely affected by outliers. We therefore introduce a…

Methodology · Statistics 2019-09-02 Harjit Hullait , David S. Leslie , Nicos G. Pavlidis , Steve King

Outlier detection algorithms typically assign an outlier score to each observation in a dataset, indicating the degree to which an observation is an outlier. However, these scores are often not comparable across algorithms and can be…

Machine Learning · Computer Science 2024-10-31 Philipp Röchner , Henrique O. Marques , Ricardo J. G. B. Campello , Arthur Zimek , Franz Rothlauf

A new technique for the detection of outliers in contingency tables is introduced. Outliers thereby are unexpected cell counts with respect to classical loglinear Poisson models. Subsets of cell counts called minimal patterns are defined,…

Computation · Statistics 2012-11-15 Sonja Kuhnt , Fabio Rapallo , André Rehage