Year: 2026
Type: article
Abstract: We derive a general system of ordinary differential equations and associated explicit solutions in a special case for geodesics between full rank matrices in the deep linear network geometry. In the process, we find horizontal straight lines in the invariant balanced manifold that remain geodesics under Riemannian submersion.
Source: Quarterly of Applied Mathematics
DOI: 10.1090/qam/1747
Author: Alan Chen
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4416392913
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