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MiS Preprint
35/1999
Hyperplane arrangements separating arbitrary vertex classes in n-cubes
Walter Wenzel, Nihat Ay and Frank Pasemann
Abstract
Strictly layered feedforward networks with binary neurons are viewed as maps from the vertex set of an n-cube to the vertex set of an l-cube. With only one output neuron in principle they can realize any Boolean function on n inputs. We address the problem of determining the necessary and sufficient numbers of hidden units for this task by using separability properties of affine oriented hyperplane arrangements.
