Kernel space for text analysis based on fuzzy neighborhoods

A natural Euclidean space is defined on a set of texts as sequences or hierarchical structures. Unlike the traditional term-document model, the present model takes local topological structure of texts. Kernel functions are defined that enable the use of Euclidean spaces and hence methods of data analysis based on kernels are applicable to the present model. Applications include agglomerative as well as c-means clustering and principal component analysis. Numerical examples are shown.