Multivariate Functional Outlier Detection using the FastMUOD Indices

We present definitions and properties of the fast massive unsupervised outlier detection (FastMUOD) indices, used for outlier detection (OD) in functional data. FastMUOD detects outliers by computing, for each curve, an amplitude, magnitude and shape index meant to target the corresponding types of...

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Detalles Bibliográficos
Autores: Ojo, Oluwasegun|||0000-0001-9629-6990, Fernández Anta, Antonio, Genton, Marc G., Lillo, Rosa Elvira
Tipo de recurso: artículo
Fecha de publicación:2023
País:España
Institución:IMDEA Networks Institute
Repositorio:IMDEA Networks Institute Digital Repository
Idioma:inglés
OAI Identifier:oai:dspace.networks.imdea.org:20.500.12761/1679
Acceso en línea:https://hdl.handle.net/20.500.12761/1679
https://dx.doi.org/10.1002/sta4.567
Access Level:acceso abierto
Palabra clave:FastMUOD, functional data, functional outlier detection, multivariate functional data, outlier classification, video data
Descripción
Sumario:We present definitions and properties of the fast massive unsupervised outlier detection (FastMUOD) indices, used for outlier detection (OD) in functional data. FastMUOD detects outliers by computing, for each curve, an amplitude, magnitude and shape index meant to target the corresponding types of outliers. Some methods adapting FastMUOD to outlier detection in multivariate functional data are then proposed. These include applying FastMUOD on the components of the multivariate data and using random projections. Moreover, these techniques are tested on various simulated and real multivariate functional datasets. Compared with the state of the art in multivariate functional OD, the use of random projections showed the most effective results with similar, and in some cases improved, OD performance.