Extrapolation with a self-organising locally interpolating map - controlling nonlinear processes with ambiguous inverse behaviour
نویسندگان
چکیده
Besides their typical classification task, Self-Organizing Maps (SOM) can be used to approximate inputoutput relations. They provide an economic way of storing the essence of past data into input/output support vector pairs. In this paper the SOLIM algorithm (Self-Organising Locally Interpolating Map) is reviewed and an extrapolation method is introduced. This framework allows finding one inverse of a nonlinear manyto-one mapping by exploiting the inherent neighbourhood criteria of the SOM part. Simulations show that the performance of the mapping including the extrapolation is comparable to other algorithms.
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