ML: Uncertainty

Machine-learning ideas tagged Uncertainty in the ML taxonomy of the Math2NN corpus.

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.

Useful6/10
Difficulty4/10
Novelty5/10
Paper: Geometric turbulence: a geodesic-regression crisis indicator for equity covariance dynamics, with evidence from African markets arXiv:2608.15205