- In the last four years we developed techniques to solve simple nonlinear problems with linear optimisation models like Mixed Integer Linear Programming (MILP)  and then we reach the conclusion that we can use those techniques to solve a much more complex nonlinear problem: the calculation of the weights of a hardlimit multilayer perceptron (HMLP), an open problem since the work Perceptrons of Minsky and Papert . We describe the MIP model that solves this problem implemented with the GAMS software and then we apply it to the three variable XOR and we obtained a solution with only three hardlimit neurons. We also made an experiment with the function sin(x)/x, x varying between 0 and 120p, x initialised in 120p, and in few seconds our adapted MIP model converged to the global maximum at 0.
|Title of host publication||Proceedings da Conferencia Engenharias 2009|
|Publication status||Published - 1 Jan 2009|
|Event||Engenharias 2009 - |
Duration: 1 Jan 2009 → …
|Period||1/01/09 → …|