Math: Functional analysis

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

Unverified 2026

Weighted Tree Dirichlet-to-Neumann Layer

Replace dense long-range token interactions with sparse message passing on a balanced hierarchical tree. Boundary token features are extended to internal tree nodes by weighted harmonic relaxation, and the resulting weighted normal derivative is used as a learned multiscale interaction or regularization signal.

Useful6/10
Difficulty5/10
Novelty6/10
Paper: Extension Problems for the Vladimirov--Taibleson Operator and the Hierarchical Laplacian arXiv:2609.03647