Special Lagrangian cones in Deep Learning

Abstract:We introduce a matrix generalization of the cone of Harvey and Lawson and prove that it is an exact special Lagrangian manifold. We further show that it belongs to a family of exact special Lagrangian manifolds that foliate the balanced manifold arising in deep learning.

Differential Geometry (math.DG); Machine Learning (cs.LG); Symplectic Geometry (math.SG)

arXiv:2609.20159 [math.DG]

(or arXiv:2609.20159v1 [math.DG] for this version)

https://doi.org/10.48550/arXiv.2609.20159 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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