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A b s tra c t I n th e p rev ious s tu d y ,a m u lt ip ly L ie g ro u p k e rn e l co ve rin g le a rn in g a lg o r ith m w as proposed to reduce th e in ­ te rs e c tio n o f roads and im p ro v e th e correc tness o f c la s s if ic a tio n fo r m u lt i-c o n n e c te d spaces. H o w e v e r, th e p e rfo rm ance o f th e k e rn e l le a rn in g a lg o r ith m depends o n th e cho ice o f ke rn e l fu n c t io n In th is p a p e r, i t is cons ide red th a t th e o r ig in a l L ie g ro u p sam ples are m apped to th e ta rg e t L ie g ro u p space b y th e L ie g ro u p h o m o m o rp h ic m a p p in g, th e degree o f the road asso c ia tion is m in im iz e d in d iffe re n t s in g le connected spaces in th e ta rg e t L ie g ro u p space, and th e c o rre la tio n de­ gree o f th e ro a d in th e sam e s in g le connected space is m a x im iz e d, in o rd e r to reduce ro ad cross p ro b le m s. K eyw ords L ie g ro u p ,C o v e r in g le a rn in g a lg o r ith m ,R o a d c ro s s ,K e rn e l le a rn in g a lg o r ith m

多李群覆盖学习优化算法 (Optimization Algorithm of Multiply Lie Group Covering Learning Algorithm).