Consistent regression of biophysical parameters with kernel methods

Díaz, Emiliano, Pérez-Suay, Adrián, Laparra, Valero, Camps-Valls, Gustau

arXiv.org Machine Learning 

This paper introduces a novel statistical regression framework that allows the incorporation of consistency constraints. A linear and nonlinear (kernel-based) formulation are introduced, and both imply closed-form analytical solutions. The models exploit all the information from a set of drivers while being maximally independent of a set of auxiliary, protected variables. We successfully illustrate the performance in the estimation of chlorophyll content.

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