Research of the Symplectic Group Classifier Based on Lie Group Machine Learning

This paper describes the theories of symplectic group based on the basic conceptions and theory framework of lie group machine learning (LML), it implements the constructor of symplectic classifier in Lie group machine learning (LML), along with the descriptions of the correlated problems. This contained by: mapping the observed data set in the learning system to the nonempty set G; constructing the corresponding symplectic group structure according to G; applying the obtained symplectic group to the lie group machine learning (LML) model; and forming the symplectic classifiers; testing examples and giving performance results.