Research on the Method of Nonlinear Dimensionality Reduction for the Text of Laws and Regulations of Construction

Research on existing vector representation method of the text data and it is advantages or disadvantages and applicability of linear and nonlinear dimensionality reduction methods, the paper analysis the feature of laws and regulations of construction data, establishes the vector space model of the text data. Based on Riemann Surface Theory and Topology Theory, adopting the globe pole mapping method of space analytic geometry, forming a homeomorphism with the linear analytic function from the high-dimensional vector to the low one, and then realizing a corresponding mapping, maintained the topological structure of data before and after dimensionality reduction, at last, the results solve the neighbor problem of nonlinear dimensionality reduction for text mining effectively. Applying the method in the text data of laws and regulations of construction, it has obtained the projection in any two-or-three dimensional orthogonal and univocal direction, caparisoning with other research methods shows the validity of this method.