{"ID":23475254,"CreatedAt":"2026-09-18T01:09:05.407443952Z","UpdatedAt":"2026-09-20T18:11:56.143995915Z","DeletedAt":null,"paper_url":"https://arxiv.org/abs/2609.20159","arxiv_id":"2609.20159","title":"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.","short_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.","url_abs":"https://arxiv.org/abs/2609.20159","url_pdf":"https://arxiv.org/pdf/2609.20159v1","authors":"[\"Tejas Kotwal\",\"Govind Menon\"]","published":"2026-09-17T12:49:39Z","proceeding":"math.DG","tasks":"[\"math.DG\",\"cs.LG\",\"math.SG\"]","methods":"[]","has_code":false}