Milan Hladík's Publications:

On the tolerance approach to possibilistic nonlinear regression over interval data

Milan Hladík and Michal Černý. On the tolerance approach to possibilistic nonlinear regression over interval data. In REC 2012, Proceedings of the 5th International Conference on Reliable Engineering Computing - Practical Applications and Practical Challenges, June 13-15, Brno, pp. 183–195, LITERA, 2012.

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Abstract

We study the tolerance-based approach to possibilistic nonlinear regression models with interval data. We provide a method for determination of interval regression parameters of the model for the crisp input - interval output case and for the interval input - interval output case. We define two classes of nonlinear regression models for which efficient algorithms exist. We illustrate the theory by examples.

BibTeX

@InProceedings{HlaCer2012b,
 author = "Milan Hlad\'{\i}k and Michal {\v{C}}ern\'{y}",
 editor = "Vo\v{r}echovsk\'{y} et al., M.",
 feditor = "M. Vo\v{r}echovsk\'{y} and V. Sad\'{i}lek and S. Seitl and V. Vesel\'{y} and R. L. Muhanna and R. L. Mullen",
 title = "On the tolerance approach to possibilistic nonlinear regression over interval data",
 booktitle = "{REC 2012}, Proceedings of the 5th International Conference on Reliable Engineering Computing - Practical Applications and Practical Challenges, June 13-15, Brno",
 publisher = "LITERA",
 isbn = "978-80-214-4507-9",
 pages = "183-195",
 year = "2012",
 bib2html_dl_pdf = "https://kam.mff.cuni.cz/~hladik/doc/2012-proc-REC-OnPossApprPossNonlinRegInt.pdf",
 abstract = "We study the tolerance-based approach to possibilistic nonlinear regression models with interval data. We provide a method for determination of interval regression parameters of the model for the crisp input - interval output case and for the interval input - interval output case. We define two classes of nonlinear regression models for which efficient algorithms exist. We illustrate the theory by examples.",
 keywords = "Interval regression, Nonlinear regression, Possibilistic regression, Tolerance quotient",
}

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