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ESANN
2004

On fields of nonlinear regression models

9 years 11 months ago
On fields of nonlinear regression models
Abstract. In the context of nonlinear regression, we consider the problem of explaining a variable y from a vector x of explanatory variables and from a vector t of conditionning variables, that influences the link function between y and x. A neural based solution is proposed in the form of a field of nonlinear regression models, by which it is meant that the relation between those variables is modeled by a map from some space to a function space. This approach results in a broader class of neural models than that of perceptrons, which therefore inherits the interesting approximation theoretical properties of the latter. The interest of such a modeling is illustrated by a real-world geophysical application, namely ocean color remote sensing.
Bruno Pelletier, Robert Frouin
Added 30 Oct 2010
Updated 30 Oct 2010
Type Conference
Year 2004
Where ESANN
Authors Bruno Pelletier, Robert Frouin
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