@inproceedings{oai:kyutech.repo.nii.ac.jp:00001545,
 author = {Furukawa, Tetsuo and 古川, 徹生},
 book = {Proceedings of the 6th International Workshop of Self-Organizing Maps (WSOM 2007)},
 month = {Sep},
 note = {In this paper, we propose a conceptual learning algorithm called the 'self-organizing homotopy (SOH)' together with an implementation thereof. As in the case of the SOM, our SOH organizes a homotopy in a self-organizing manner by giving a set of data episodes. Thus it is an extension of the SOM, moving from a 'map' to a 'homotopy'. From a geometrical viewpoint, the SOH represents a set of (i.e. multiple) data distributions by a fiber bundle, whereas the SOM represents a single data distribution by a manifold. One of the solutions to the SOH is SOM², in which every reference vector unit of the conventional SOM is itself replaced by an SOM. Consequently SOM² has the ability to represent a fiber bundle, i.e. a product manifold, by using a product space of SOM x SOM. It is expected that SOHs will play important roles in the fields of pattern recognition, adaptive functions, context understanding, and others, in which nonlinear manifolds and the homotopy play crucial roles., The 6th International Workshop on Self-Organizing Maps (WSOM), 2007 Bielefeld University, Bielefeld, Germany, September 3 - 6, 2007},
 publisher = {6th lnt. Workshop on Self-Organizing Maps （WSOM 2007）},
 title = {Self-organizing homotopy network},
 year = {2007},
 yomi = {フルカワ, テツオ}
}