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A learning algorithm for piecewise linear regression


G. Ferrari-Trecate, M. Muselli, D. Liberati, M. Morari

Italian Workshop on Neural Nets, Vietri sul Mare, Italy, no. 12, pp. 1 - 6, Eds. M. Marinaro, R. Tagliaferri, London: Springer.

A new learning algorithm for solving piecewise linear regression problems is proposed. It is able to train a proper multilayer feedforward neural network so as to reconstruct a target function assuming a different linear behavior on each set of a polyhedral partition of the input domain. The proposed method combine local estimation, clustering in weight space, classification and regression in order to achieve the desired result. A simulation on a benchmark problem shows the good properties of this new learning algorithm.

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% Autogenerated BibTeX entry
@InProceedings { FerEtal:2001:IFA_1679,
    author={G. Ferrari-Trecate and M. Muselli and D. Liberati and M. Morari},
    title={{A learning algorithm for piecewise linear regression}},
    booktitle={Italian Workshop on Neural Nets},
    pages={1 -- 6},
    address={Vietri sul Mare, Italy},
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