Research ideas

Every idea extracted from recent arXiv mathematics papers — verified and unverified. Click an idea to open its full card; badges show the empirical verdict.

Unverified 2026

Reaction-Closed Sparse Routing

Represent the active experts or channels of a sparse layer by a presence set and impose a reaction-style dependency graph on possible support changes. During a growth phase, activate only the least support set closed under enabled dependencies; during later pruning, allow trajectory-dependent removals but never add structurally unreachable experts. This should reduce routing churn and dead experts while preserving adaptive sparsity.

Useful4/10
Difficulty5/10
Novelty7/10
Paper: A Structural Theory of Admissible Transitions in Biological Reaction Networks arXiv:2608.27201