Regularization networks: Fast weight calculation via Kalman filtering

Regularization networks are nonparametric estimators obtained from the application of Tychonov regularization or Bayes estimation to the hypersurface reconstruction problem. Their main drawback is that the computation of the weights scales as $O(n^3)$ where $n$ is the number of data. In this paper we show that for a class of monodimensional problems, the complexity can be reduced to $O(n)$ by a suitable algorithm based on spectral factorization and Kalman filtering. Moreover, the procedure applies also to smoothing splines.


Published in:
IEEE Trans. Neural Networks, 12, 2, 228-235
Year:
2001
Laboratories:




 Record created 2017-01-10, last modified 2018-09-13


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