Ellipsoidal Subspace Support Vector Data Description

In this paper, we propose a novel method for transforming data into a low-dimensional space optimized for one-class classification. The proposed method iteratively transforms data into a new subspace optimized for ellipsoidal encapsulation of target class data. We provide both linear and non-linear...

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Main Authors: Fahad Sohrab, Jenni Raitoharju, Alexandros Iosifidis, Moncef Gabbouj
Format: Article
Language:English
Published: IEEE 2020-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/9133428/
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author Fahad Sohrab
Jenni Raitoharju
Alexandros Iosifidis
Moncef Gabbouj
author_facet Fahad Sohrab
Jenni Raitoharju
Alexandros Iosifidis
Moncef Gabbouj
author_sort Fahad Sohrab
collection DOAJ
description In this paper, we propose a novel method for transforming data into a low-dimensional space optimized for one-class classification. The proposed method iteratively transforms data into a new subspace optimized for ellipsoidal encapsulation of target class data. We provide both linear and non-linear formulations for the proposed method. The method takes into account the covariance of the data in the subspace; hence, it yields a more generalized solution as compared to the data description in the subspace by hyperspherical encapsulation of target class data. We propose different regularization terms expressing the class variance in the projected space. We compare the results with classic and recently proposed one-class classification methods and achieve competing results and show clear improvement compared to the other support vector based methods. The proposed method is also noticed to converge much faster than recently proposed Subspace Support Vector Data Description.
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spelling doaj.art-3a28fb3e79cf4475a8d591d305f576392022-12-21T22:01:56ZengIEEEIEEE Access2169-35362020-01-01812201312202510.1109/ACCESS.2020.30071239133428Ellipsoidal Subspace Support Vector Data DescriptionFahad Sohrab0https://orcid.org/0000-0002-8080-4011Jenni Raitoharju1https://orcid.org/0000-0003-4631-9298Alexandros Iosifidis2Moncef Gabbouj3Faculty of Information Technology and Communication Sciences, Tampere University, Tampere, FinlandFinnish Environment Institute, Jyväskylä, FinlandDepartment of Engineering, Aarhus University, Aarhus, DenmarkFaculty of Information Technology and Communication Sciences, Tampere University, Tampere, FinlandIn this paper, we propose a novel method for transforming data into a low-dimensional space optimized for one-class classification. The proposed method iteratively transforms data into a new subspace optimized for ellipsoidal encapsulation of target class data. We provide both linear and non-linear formulations for the proposed method. The method takes into account the covariance of the data in the subspace; hence, it yields a more generalized solution as compared to the data description in the subspace by hyperspherical encapsulation of target class data. We propose different regularization terms expressing the class variance in the projected space. We compare the results with classic and recently proposed one-class classification methods and achieve competing results and show clear improvement compared to the other support vector based methods. The proposed method is also noticed to converge much faster than recently proposed Subspace Support Vector Data Description.https://ieeexplore.ieee.org/document/9133428/Anomaly detectionellipsoidal data descriptionmachine learningone-class classificationsubspace learning
spellingShingle Fahad Sohrab
Jenni Raitoharju
Alexandros Iosifidis
Moncef Gabbouj
Ellipsoidal Subspace Support Vector Data Description
IEEE Access
Anomaly detection
ellipsoidal data description
machine learning
one-class classification
subspace learning
title Ellipsoidal Subspace Support Vector Data Description
title_full Ellipsoidal Subspace Support Vector Data Description
title_fullStr Ellipsoidal Subspace Support Vector Data Description
title_full_unstemmed Ellipsoidal Subspace Support Vector Data Description
title_short Ellipsoidal Subspace Support Vector Data Description
title_sort ellipsoidal subspace support vector data description
topic Anomaly detection
ellipsoidal data description
machine learning
one-class classification
subspace learning
url https://ieeexplore.ieee.org/document/9133428/
work_keys_str_mv AT fahadsohrab ellipsoidalsubspacesupportvectordatadescription
AT jenniraitoharju ellipsoidalsubspacesupportvectordatadescription
AT alexandrosiosifidis ellipsoidalsubspacesupportvectordatadescription
AT moncefgabbouj ellipsoidalsubspacesupportvectordatadescription