High Dimensional Information Geometry and Its Applications

AbstractBecause of information digitalization and the correspondence of digits and the coordinates, Information Science and high-dimensional space have consanguineous relations. With the transforming from the information issues to the point analysis in high-dimensional space, we proposed a novel computational theory based geometry liner algebra, named High Dimensional information Geometry. Some computational algorithms of High Dimensional information Geometry have been realized and proved, and how to combine with groups of information operators to implement the geometrical computations in high-dimensional space is demonstrated in this paper. As the applications, kinds of experiments of High Dimensional information Geometry are given, and the results are satisfying