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.
Paper: Degree Majorization and Laplacian Eigenvalue Sums for Simplicial Complexes
arXiv:2607.20910