From robust neural networks toward robust nonlinear quantile estimation

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F25%3A00642808" target="_blank" >RIV/67985556:_____/25:00642808 - isvavai.cz</a>
Alternative codes found
RIV/67985807:_____/25:00635825
Result on the web
<a href="https://www.tandfonline.com/doi/full/10.1080/07474946.2025.2498933" target="_blank" >https://www.tandfonline.com/doi/full/10.1080/07474946.2025.2498933</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1080/07474946.2025.2498933" target="_blank" >10.1080/07474946.2025.2498933</a>

Result language
angličtina
Original language name
From robust neural networks toward robust nonlinear quantile estimation
Original language description
Regression quantiles provide a flexible framework for modeling the conditional distribution of a response variable by estimating different parts of its distribution, thereby offering valuable insights into the relationship between predictors and outcomes. However, existing nonlinear regression quantile methods may be sensitive to the presence of severe outliers in the data. This paper starts with investigating robust versions of neural networks. The study includes a proposal of a sequential outlier detection procedure based on sequential example selection for robust neural networks. Further, robust quantile estimators for nonlinear regression is introduced. The proposed quantiles are inspired by least weighted squares regression. To enhance robustness to outliers, they assign implicit weights to individual samples and are specifically tailored for multilayer perceptrons, radial basis function networks, and regularized networks. Numerical experiments demonstrate that the robust quantiles improve generalization and outlier resistance. Simulations confirm that the proposed method outperforms traditional (non-robust) quantiles.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

Project
<a href="/en/project/GA24-10078S" target="_blank" >GA24-10078S: New nonparametric tools for econometric data analysis</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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