ML: Sparsity

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

Unverified 2026

Shifted-Mask Defect Regularization

Represent a learned sparse attention or routing pattern as a graph and penalize its second-moment defect, which measures distance from a shifted family and therefore from nested, threshold-like neighborhoods. At inference, optionally replace the learned mask by a nearby shifted mask to obtain more structured sparse indexing and predictable routing patterns.

Useful5/10
Difficulty6/10
Novelty9/10
Paper: Stability of Shifted Complexes via the Second-Moment Defect of the Up-Laplacian arXiv:2608.15358