1998 年 5 巻 1 号 p. 3-9
Bottleneck networks were employed in order to estimate a low dimensional surface on which the high dimensional data lie. However, the fitting of closed surfaces like a sphere is hard for them. This is essentially due to the fact that general manifolds cannot be expressed by a single coordinate system. To overcome this difficulty, we multiply the bottleneck networks and construct a mixture of experts network, which can treat a broad class of surfaces. A procedure to restrain the premature convergence of the mixture of experts network is also provided.