Derives ODEs and explicit solutions for geodesics between full-rank matrices in deep linear network geometry and shows that certain horizontal straight lines in the invariant balanced manifold remain geodesics under Riemannian submersion.
4, 3208–3232
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Geodesics in the Deep Linear Network
Derives ODEs and explicit solutions for geodesics between full-rank matrices in deep linear network geometry and shows that certain horizontal straight lines in the invariant balanced manifold remain geodesics under Riemannian submersion.