ML: Scalability

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

Unverified 2026

Degree-Capped Simplicial Residual Step

Set the residual propagation coefficient of a simplicial neural layer from a cheap upper bound on the operator spectrum instead of tuning it blindly. The degree-majorization theorem supplies a bound on the largest eigenvalue, while the Brouwer-type inequality supplies a topology-count-based bound on sums of the top eigenvalues.

Useful6/10
Difficulty3/10
Novelty6/10
Paper: Degree Majorization and Laplacian Eigenvalue Sums for Simplicial Complexes arXiv:2607.20910