Efficient Estimation of Multidimensional Regression Model with Multilayer Perceptron

Details Efficient Estimation of Multidimensional Regression Model with Multilayer Perceptron Efficient Estimation of Multidimensional Regression Model with Multilayer Perceptron

2008-02-21

arxiv.org/abs/0802.3142v1

Dans ESANN 2005 - ESANN 2005, Bruges : Belgique (2005)

Mathematics

Statistics Theory

Scientific paper

This work concerns estimation of multidimensional nonlinear regression models using multilayer perceptron (MLP). The main problem with such model is that we have to know the covariance matrix of the noise to get optimal estimator. however we show that, if we choose as cost function the logarithm of the determinant of the empirical error covariance matrix, we get an asymptotically optimal estimator.

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