The GeTLS EXIN neuron for linear regression

Linear regression problems deal with the solution of an overdetermined set of linear equations under different assumptions about noise in the experimental data. Some parameterized techniques, designed for a compact treatment of these problems, are briefly reviewed. Then, the GeTLS method is introduced and applied, as learning law, to a novel linear neuron, GeTLS EXIN. Some numerical considerations follow, together with software examples. This neuron yields very good results, especially for large systems of equations