Unverified
2026
Log-Euclidean SPD prediction head
Replace a neural network head that predicts a covariance or other SPD matrix entrywise with regression in the matrix-log domain. The network predicts a symmetric matrix in unconstrained Euclidean coordinates, the matrix exponential guarantees an SPD output, and training can use intrinsic log-Euclidean or affine-invariant errors rather than Frobenius error on raw entries.
Paper: Geometric turbulence: a geodesic-regression crisis indicator for equity covariance dynamics, with evidence from African markets
arXiv:2608.15205