Research on the Conceptual Space of Manifold
HU Li-bin · Computer Knowledge and Technology · 2010
Concept is the understanding people think about the essence of objects,the most fundamental unit and form in logic thinking,which is the base of human cogitation and the reaction of essence attribute of objects,that means the outcome of thinking.Conceptual Spaces was first proposed by Professor Grdenfors who published the writings in 2000.To put it simply,the Conceptual Spaces built up by Professor Grdenfors is based on domain and its attribute of Geometric properties to set up and calculate the concept、attribute and similarity of the mold.For the LLE calculating method of manifold,the main thinking is every sampling point among its nested space can be linear represent-ed with its neighbor points.On the condition of low-dimensional space,keeping each O-domain weights the same,the origin data points is restructured so that the smallest reconstruction error.It can learn an arbitrary number of dimensions of the low-dimensional manifolds,a close neighbor of each point of the right value in the translation,rotation,stretching under the transformation is to maintain the same.In this essay,the various domain of the conceptual space is considered to be as a manifold,and all the dimensions in every domain is to be as the N dimensions data of manifold.During the experiment,it has does not use manifold and manifold-based dimension reduction algorithm of LLE after comparing the experimental results obtained using the method of manifold can not be for some segments of the do-main can play a good role embodies the concept of space research for the algorithm is the accuracy and superiority.