Spline-Pullback Metric parameterizes a universal family of strictly increasing C1 diffeomorphisms on SPD matrices via monotonically constrained B-splines, subsuming prior pullback metrics while avoiding rank-swapping discontinuities.
We clamp the terminal knots of the grid with multiplicity k to transition smoothly to the unconstrained domain
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Beyond Rigid Geometries: The Spline-Pullback Metric for Universal Diffeomorphic SPD Representation Learning
Spline-Pullback Metric parameterizes a universal family of strictly increasing C1 diffeomorphisms on SPD matrices via monotonically constrained B-splines, subsuming prior pullback metrics while avoiding rank-swapping discontinuities.