ML: Dynamics

Machine-learning ideas tagged Dynamics in the ML taxonomy of the Math2NN corpus.

△ Mechanism confirmed, baseline not beaten 2026

Monotone Forced-Response Adapter

Separate a pretrained sequence model's passive prediction from the causal effect of an action, and learn only the latter with a compact monotone adapter. The adapter receives the current latent state and an action deviation, but its action-to-output Jacobian is constrained to have the physically correct sign, preventing intervention predictions that move opposite to the applied control.

Useful7/10
Difficulty4/10
Novelty7/10
Paper: ThermoForce: A Physics-Structured Interventional World Model for Building HVAC Control arXiv:2607.03942
✗ Mechanism failed 2026

Jin–Xin shock homotopy for PINNs

Train on a sequence of Jin–Xin relaxation problems with decreasing relaxation width rather than training immediately on the singular conservation law. The network predicts both the conserved state and an auxiliary flux, and each stage is initialized from the previous stage so that the learned shock profile sharpens gradually.

Useful7/10
Difficulty5/10
Novelty7/10
Paper: A Jin--Xin Relaxation Gradual Convergence Method for Conservation-Law PINNs arXiv:2608.22493