The theory framework of Lie group machine learning (LML)
نویسندگان
چکیده
In this paper a new method for dimensionality reduction in machine learning is proposed and called as Lie group Machine Learning (LML). The theory framework of LML is given, including the conception of one-parameter subgroup, Lie algebra and LML; the geometric properties of LML; the generalization hypothesis axiom, the partition independence hypothesis axiom, the duality hypothesis axiom, the learning compatibility hypothesis axiom of LML and the classifiers’ design of LML.
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