2023
DOI: 10.21203/rs.3.rs-2686418/v1
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Learning Lie Groups Acting on the Manifolds Generated by Linear Differential Equations

Abstract: Symmetry group is an important construct to understand the behaviour of a pure mathematical or a physical system including system of differential equations. We develop a framework that could learn continuous group symmetries governed by a given set of linear differential equations. The key idea in the proposed method is to build the symmetry group G by learning relevant exp() map, which is a crucial object in the study of Lie groups. exp() for G is learned in an implicit manner in terms of the vector fields sp… Show more

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