Architecture ideas

Attention variants, state-space and recurrent cells, normalization and token-mixing schemes — each tested against the standard block it replaces.

Unverified 2026

Hitting-Time Adaptive Transformer Depth

Use attention-graph hitting times to identify tokens whose information has not mixed through the network, then route only those tokens through additional Transformer blocks. Tokens with fast reachability exit early, while slow or isolated tokens receive more computation.

Useful6/10
Difficulty6/10
Novelty7/10
Paper: Identifying slow relaxation in many-body quantum systems through state-graph geometry and state-graph heterogeneity arXiv:2608.05298
Unverified 2026

Polynomial Spectral Mode Controller

Replace an eigendecomposition-based spectral controller in a small recurrent or state-space transition layer with explicit polynomial projectors. Each hidden state is split into invariant modes, and each mode receives a separately constrained recurrent multiplier, enabling direct suppression of unstable modes or selective retention of long-memory modes using only matrix-polynomial evaluations.

Useful5/10
Difficulty6/10
Novelty6/10
Paper: A Direct Polynomial Approach to Spectral Decomposition arXiv:2607.20218
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