Special Lagrangian cones in Deep Learning
A mathematics paper generalizes Harvey-Lawson cones, proving a matrix version is an exact special Lagrangian manifold foliating the balanced manifold in deep learning.
The authors introduce a matrix generalization of the Harvey and Lawson cone construction and prove it is an exact special Lagrangian manifold. They further show it belongs to a family of such manifolds that foliates the balanced manifold arising in deep learning. The work is purely mathematical with no experiments, benchmarks, or security implications.
From the original article
1 min read at arxiv.orgWe 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.
By Tejas Kotwal · arxiv.org
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