Classification model with collinear grouping of features

ABSTRACTPattern recognition procedures operate on data represented as sets of multidimensional feature vectors. A small sample of data appears when the dimension of the feature vectors (number of features) is much larger than the number of feature vectors (objects). Small datasets often emerge in pr...

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Main Authors: Leon Bobrowski, Paweł Zabielski
Format: Article
Language:English
Published: Taylor & Francis Group 2023-01-01
Series:Journal of Information and Telecommunication
Subjects:
Online Access:https://www.tandfonline.com/doi/10.1080/24751839.2022.2129133
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author Leon Bobrowski
Paweł Zabielski
author_facet Leon Bobrowski
Paweł Zabielski
author_sort Leon Bobrowski
collection DOAJ
description ABSTRACTPattern recognition procedures operate on data represented as sets of multidimensional feature vectors. A small sample of data appears when the dimension of the feature vectors (number of features) is much larger than the number of feature vectors (objects). Small datasets often emerge in practice, for example in genetics. The design of classification or prognostic models on small data sets requires the development of new types of methods. Methods based on L1 geometry can play an important role in this regard.
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spelling doaj.art-b93a0f59b6384eeca7026ab075fa137c2023-02-14T20:06:26ZengTaylor & Francis GroupJournal of Information and Telecommunication2475-18392475-18472023-01-0171738810.1080/24751839.2022.2129133Classification model with collinear grouping of featuresLeon Bobrowski0Paweł Zabielski1Faculty of Computer Science, Bialystok University of Technology, Bialystok, PolandFaculty of Computer Science, Bialystok University of Technology, Bialystok, PolandABSTRACTPattern recognition procedures operate on data represented as sets of multidimensional feature vectors. A small sample of data appears when the dimension of the feature vectors (number of features) is much larger than the number of feature vectors (objects). Small datasets often emerge in practice, for example in genetics. The design of classification or prognostic models on small data sets requires the development of new types of methods. Methods based on L1 geometry can play an important role in this regard.https://www.tandfonline.com/doi/10.1080/24751839.2022.2129133Small data setsmultidimensional feature vectorsmaximizing L1 norm marginsconvex and piecewise linear criterion functions
spellingShingle Leon Bobrowski
Paweł Zabielski
Classification model with collinear grouping of features
Journal of Information and Telecommunication
Small data sets
multidimensional feature vectors
maximizing L1 norm margins
convex and piecewise linear criterion functions
title Classification model with collinear grouping of features
title_full Classification model with collinear grouping of features
title_fullStr Classification model with collinear grouping of features
title_full_unstemmed Classification model with collinear grouping of features
title_short Classification model with collinear grouping of features
title_sort classification model with collinear grouping of features
topic Small data sets
multidimensional feature vectors
maximizing L1 norm margins
convex and piecewise linear criterion functions
url https://www.tandfonline.com/doi/10.1080/24751839.2022.2129133
work_keys_str_mv AT leonbobrowski classificationmodelwithcollineargroupingoffeatures
AT pawełzabielski classificationmodelwithcollineargroupingoffeatures