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arXiv:2609.20159 · v2

Special Lagrangian cones in Deep Learning

首次提交 2026-09-17 20:49
版本更新 2026-11-09 21:46
雷达观测 2026-11-10 15:22
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摘要

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.

作者备注:17 pages, updated some remarks and references in v2

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v2 · 2026-11-09 21:46 · 最新观测版本

Special Lagrangian cones in Deep Learning

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.

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