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Appendix

An approximate solution of (18) can be expressed in the form

 

where and are respectively the Fredholm determinant and the Fredholm first minor of the kernel and are expressible as power series in b [121]:

 

 

The coefficients can be computed by using the following relations [82]

Substituting from (19) and comparing the result with (8) we identify the kernel of an equivalent feed-forward operator

 

The application of parametric mapping leads to

 

 

where , being the Jacobian of the transformation .


next up previous
Next: References Up: Recurrent Inhibition and Clustered Previous: Acknowledgments