Regression Neural Networks with a Highly Robust Loss Function
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985807%3A_____%2F20%3A00522365" target="_blank" >RIV/67985807:_____/20:00522365 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/978-3-030-48814-7_2" target="_blank" >http://dx.doi.org/10.1007/978-3-030-48814-7_2</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/978-3-030-48814-7_2" target="_blank" >10.1007/978-3-030-48814-7_2</a>
Alternative languages
Result language
angličtina
Original language name
Regression Neural Networks with a Highly Robust Loss Function
Original language description
Artificial neural networks represent an important class of methods for fitting nonlinear regression to data with an unknown regression function. However, usual ways of training of the most common types of neural networks applied to nonlinear regression tasks suffer from the presence of outlying measurements (outliers) in the data. So far, only a few robust alternatives for training common forms of neural networks have been proposed. In this work, we robustify two common types of neural networks by considering robust versions of their loss functions, which have turned out to be successful in linear regression. Particularly, we extend the idea of using the loss of the least trimmed squares estimator to radial basis function networks. We also propose multilayer perceptrons and radial basis function networks based on the loss of the least weighted squares estimator. The performance of these novel methods is compared with that of standard neural networks on 4 datasets. The results bring arguments in favor of the novel robust approach based on the least weighted squares estimator with trimmed linear weights in terms of yielding the smallest robust prediction error in a variety of situations. Robust neural networks are even able to outperform the prediction ability of support vector regression.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
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OECD FORD branch
10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)
Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
Analytical Methods in Statistics
ISBN
978-3-030-48813-0
ISSN
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e-ISSN
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Number of pages
13
Pages from-to
17-29
Publisher name
Springer
Place of publication
Cham
Event location
Liberec
Event date
Sep 16, 2019
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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