Title : 
An Algorithm Of Analysis Tools On Points Distribution In High Dimension Space: The Distance Of A Point And An Infinite Sub-space
         
        
            Author : 
Shoujue, Wang ; Guliang, Zhao
         
        
            Author_Institution : 
Inst. of Semicond., Chinese Acad. of Sci., Beijing
         
        
        
        
        
        
            Abstract : 
This paper discusses the algorithm on the distance from a point and an infinite sub-space in high dimensional space. With the development of information geometry, the analysis tools of points distribution in high dimension space, as a measure of calculability, draw more attention of experts of pattern recognition. By the assistance of these tools. Geometrical properties of sets of samples in high-dimensional structures are studied, under guidance of the established properties and theorems in high-dimensional geometry
         
        
            Keywords : 
computational geometry; learning (artificial intelligence); pattern recognition; statistical analysis; analysis tools; high dimensional space; infinite subspace; information geometry; pattern recognition; points distribution; Algorithm design and analysis; Biomimetics; Content addressable storage; Extraterrestrial measurements; Information analysis; Information geometry; Neural networks; Pattern analysis; Pattern recognition; Risk management; Analysis Tools of points distribution; High Dimensional Space; Information Geomety analysis;
         
        
        
        
            Conference_Titel : 
Neural Networks and Brain, 2005. ICNN&B '05. International Conference on
         
        
            Conference_Location : 
Beijing
         
        
            Print_ISBN : 
0-7803-9422-4
         
        
        
            DOI : 
10.1109/ICNNB.2005.1614916