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.

26 ideas found

Status: Unverified Solves: Inference speedup Clear all

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

Architecture Scalability Sample efficiency Inference speedup

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

Unverified 2026

Golden-Ratio Constrained Weight Storage

Store quantized magnitudes as finite golden-ratio digit strings satisfying the no-adjacent-ones constraint, rather than as unconstrained binary words. A local rewrite pass converts equivalent but invalid patterns such as 011 into 100, making illegal adjacent-one patterns detectable after memory faults while preserving the represented scalar. This is a storage-integrity and decoding scheme, not a claim that canonicalization alone can correct arbitrary bit flips.

Useful5/10

Difficulty5/10

Novelty8/10

Memory Memory Stability Inference speedup

Paper: Intrinsic Redundancy and Local Robustness in Finite $β$-Expansion Systems arXiv:2607.08795