Training ideas

Curricula, sampling schedules, pseudo-labeling and multi-task mixing, with the standard training recipe as the control.

Unverified 2026

Dynamical-Degree Expansion Scheduler

Use the tropical dynamical degree as an analytic expansion budget for repeated neural blocks. Layers with $pq>4$ deliberately expand along a known tropical eigendirection, while layers with $pq\leq4$ avoid exponential asymptotic growth; a schedule can therefore increase representational mixing without allowing hidden-state norms to explode.

Useful5/10
Difficulty3/10
Novelty7/10
Paper: Complex dynamics perspective for birational maps of the plane arising from cluster algebra mutations arXiv:2607.08125