Unverified
2026
Affine-Invariant SPD Batch Alignment
Add a distribution-level regularizer that compares augmented second-moment matrices of neural activations using the affine-invariant Riemannian metric on SPD matrices. This aligns means, variances, and selected nonlinear moments while remaining invariant to invertible linear reparameterizations of feature coordinates.
Paper: A Tractable Pseudo-Metric on Non-Parametric Exponential Statistical Manifolds via SPD Geometry
arXiv:2607.11092