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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

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

  • 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

  • e-ISSN

  • 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