TR-I-0116 :1989.10.23

田村震一

フィードフォワードニューラルネットワークの解釈

Abstract:In this technical report, interpretations of a feed-forward neural network are described. For the interpretations, a network is decomposed into a successive combination of unit transformations. A unit transformation stands for a transformation from one layer output to the next higher layer output. This transformation is further divided into an affine part and a sigmoid non-linear part. The affine part is interpreted using the singular value decomposition technique and the sigmoid non-linear part is interpreted based on a classification of its input space into direction-invariant sub-space. Also described is an application of the interpretations, which is applied to an exclusive OR feed-forward neural network.