ML: Dynamics

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

2 ideas found

ML: Dynamics Math: Control theory Clear all

△ 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

Architecture Accuracy Stability Sample efficiency

Paper: ThermoForce: A Physics-Structured Interventional World Model for Building HVAC Control arXiv:2607.03942

Unverified 2026

Hard Sequential Neural ODE Solver

Partition a long integration interval into M short segments and assign one neural trajectory approximator to each segment. Instead of asking a single network to satisfy the ODE and initial condition over the entire horizon, construct every segment so that its value at the left boundary is exactly the terminal value predicted by the previous segment. This removes interface discontinuities from the optimization problem and should improve long-horizon trajectory accuracy and gradient stability.

Useful6/10

Difficulty5/10

Novelty6/10

Dynamics Stability Accuracy Scalability

Paper: Modeling of an ODE-constrained optimization problem describing tumor dynamics, and numerical approximation via sequential physics-informed neural networks arXiv:2608.18974