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Nonparametric Regression via StatLSSVM

Author

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  • De Brabanter, Kris
  • Suykens, Johan
  • De Moor, Bart

Abstract

We present a new MATLAB toolbox under Windows and Linux for nonparametric regression estimation based on the statistical library for least squares support vector machines (StatLSSVM). The StatLSSVM toolbox is written so that only a few lines of code are necessary in order to perform standard nonparametric regression, regression with correlated errors and robust regression. In addition, construction of additive models and pointwise or uniform confidence intervals are also supported. A number of tuning criteria such as classical cross-validation, robust cross-validation and cross-validation for correlated errors are available. Also, minimization of the previous criteria is available without any user interaction.

Suggested Citation

  • De Brabanter, Kris & Suykens, Johan & De Moor, Bart, 2013. "Nonparametric Regression via StatLSSVM," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 55(i02).
    • Handle: RePEc:jss:jstsof:v:055:i02
    DOI: http://hdl.handle.net/10.18637/jss.v055.i02
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    References listed on IDEAS

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    1. Ruppert,David & Wand,M. P. & Carroll,R. J., 2003. "Semiparametric Regression," Cambridge Books, Cambridge University Press, number 9780521785167, Enero-Abr.
    2. Karatzoglou, Alexandros & Smola, Alexandros & Hornik, Kurt & Zeileis, Achim, 2004. "kernlab - An S4 Package for Kernel Methods in R," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 11(i09).
    3. Brezger, Andreas & Lang, Stefan, 2006. "Generalized structured additive regression based on Bayesian P-splines," Computational Statistics & Data Analysis, Elsevier, vol. 50(4), pages 967-991, February.
    4. Debruyne, Michiel & Christmann, Andreas & Hubert, Mia & Suykens, Johan A.K., 2010. "Robustness of reweighted Least Squares Kernel Based Regression," Journal of Multivariate Analysis, Elsevier, vol. 101(2), pages 447-463, February.
    5. Ruppert,David & Wand,M. P. & Carroll,R. J., 2003. "Semiparametric Regression," Cambridge Books, Cambridge University Press, number 9780521780506, Enero-Abr.
    6. De Brabanter, K. & De Brabanter, J. & Suykens, J.A.K. & De Moor, B., 2010. "Optimized fixed-size kernel models for large data sets," Computational Statistics & Data Analysis, Elsevier, vol. 54(6), pages 1484-1504, June.
    7. Inyoung Kim & Noah D. Cohen & Raymond J. Carroll, 2003. "Semiparametric Regression Splines in Matched Case-Control Studies," Biometrics, The International Biometric Society, vol. 59(4), pages 1158-1169, December.
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