Radial Compensation derives a specific tangent-space base distribution that preserves geodesic-radial likelihoods and chart-invariant Fisher information while maintaining isotropy, decoupling statistical modeling from numerical chart choice in manifold generative models.
Davidson, Luca Falorsi, Nicola De Cao, Thomas Kipf, and Jakub M
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Radial Compensation: Fixing Radius Distortion in Chart-Based Generative Models on Riemannian Manifolds
Radial Compensation derives a specific tangent-space base distribution that preserves geodesic-radial likelihoods and chart-invariant Fisher information while maintaining isotropy, decoupling statistical modeling from numerical chart choice in manifold generative models.