Math: Symmetry

Machine-learning ideas tagged Symmetry in the Math taxonomy of the Math2NN corpus.

2 ideas found

ML: Training dynamics Math: Symmetry Clear all

✓✓ Beats tuned baseline 2026

Commutant-gated spectral loss

Replace per-eigenvector spectral supervision on symmetry-forced multiplets by a projector-trace target determined from the operator family's commutant. Use individual eigenvalue or eigenvector targets only outside detected forced blocks, avoiding arbitrary basis choices and exploding gradients at protected crossings.

Useful8/10

Difficulty5/10

Novelty8/10

Regularization Stability Accuracy Generalization

Paper: A commutant gate for spectral fitting through symmetry forced degeneracy arXiv:2608.04903

Unverified 2026

Order-Parameter Mode Activation Schedule

Use the paper's order-parameter dynamics to initialize spectral feature modes with deliberately separated activation times. This creates a controlled progressive-learning curriculum in which dominant modes become available first and weaker modes activate later, potentially reducing early gradient interference.

Useful6/10

Difficulty6/10

Novelty6/10

Training Stability Accuracy Generalization

Paper: Neural Quadratic Forms: A Unified Minimal Model for Sudden Learning and Scaling Laws arXiv:2608.13335