Training ideas

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

✓✓ Beats tuned baseline 2026

Jacobian-Free Short-Trace Backpropagation

Use a full primal-dual optimization solve in the forward pass, but backpropagate only through the last r iterations starting from a detached warm-start iterate. This avoids storing the full solver trajectory while preserving the forward solution, and provides a tunable bias-versus-memory tradeoff: r=0 is a cheap surrogate gradient, while increasing r should converge toward the implicit equilibrium gradient.

Useful8/10
Difficulty4/10
Novelty6/10
Paper: Truncated Differentiation Through Primal-Dual Solvers for Inverse Potential Mean-Field Games arXiv:2608.00217
✓✓ Beats tuned baseline 2026

Spectral-Width Prethermal Training Schedule

Use the paper's lifetime law as a controller for training or rollout difficulty. Estimate the active perturbation bandwidth R of hidden states or forecast errors and reduce the residual gain, increase the dispersion order W, or inject controlled bandwidth whenever the estimated prethermal lifetime becomes too short.

Useful7/10
Difficulty5/10
Novelty8/10
Paper: From stable periodic orbits to many-body chaos: doubly tunable prethermalization via engineering of an emergent band structure arXiv:2607.12355