Math: Singular perturbation

Machine-learning ideas tagged Singular perturbation in the Math taxonomy of the Math2NN corpus.

2 ideas found

ML: Rnn Math: Singular perturbation Clear all

✗ Failed on benchmark 2026

Ghost-State Adaptive Recurrent Cell

Replace a single recurrent state update with fast feature relaxation, activity evolution, and a slow adaptive state that modulates the activity vector field. Tune the activity subsystem near a controllable saddle-node so that it retains a useful transient regime for a predictable number of steps, enabling delayed switching and long-horizon memory without requiring a large hidden state.

Useful8/10

Difficulty6/10

Novelty7/10

Architecture Stability Accuracy Memory

Paper: Ghost Dynamics in Receptor Signalling Networks: A Fast--Slow Adaptive Extension of Competitive Cancer Inhibition Models arXiv:2608.15300

Unverified 2026

Diffusive fast-slow recurrent block

Replace a standard recurrent update with a slow-fast oscillator whose fast hidden state is coupled across feature channels by a graph-Laplacian diffusion term. The slow-fast structure permits sharp transient transitions, while diffusion suppresses unstable disagreement modes and should make long unrolled computation less sensitive to initialization and perturbations.

Useful6/10

Difficulty5/10

Novelty6/10

Dynamics Stability Accuracy Generalization

Paper: Diffusion stabilises time-periodic solutions in conservation laws coupled to a relaxation oscillator arXiv:2607.24994