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.
Full article45 words · extracted from arxiv.org · click to collapse
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.
Text extracted automatically; images, tables and formatting may be missing. Original: https://arxiv.org/abs/2609.20159