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

Branching-Fanout Sparse MoE

Replace a fixed top-k expert count with a stochastic, token-specific fanout generated by a supercritical binary branching process stopped at a geometric time. The resulting number of active experts has finite mean but a power-law tail with log-periodic modulation, allowing most tokens to use little compute while reserving larger computation for difficult or ambiguous tokens.

Useful5/10
Difficulty6/10
Novelty8/10
Paper: Power-law and log-periodic degree tails for a family of probability generating function equations arising in evolving networks arXiv:2607.12564