Math: Symmetry

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

2 ideas found

✗ Failed on benchmark 2026

Permutation-Symmetric Quadratic Module

Replace a wide collection of interchangeable near-zero branches with a module whose output is explicitly a quadratic form in the branch-weight Gram matrix. The module preserves the paper's leading-order behavior while making the relevant collective variable explicit and allowing low-rank parameterizations.

Useful7/10

Difficulty5/10

Novelty7/10

Architecture Memory Scalability Stability

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

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