Stability ideas

Research ideas extracted from mathematics papers, categorized as Stability.

Failed on benchmark 2026

Implicit proximal Hopfield retrieval

Replace an explicit attention step by an implicit Euler step that solves a proximal subproblem involving the Hopfield energy. The new state is evaluated inside the softmax self-consistently, which makes the method less sensitive to large step sizes and can prevent explicit attention from overshooting or tunneling between attraction basins.

Useful7/10
Difficulty6/10
Novelty7/10
Paper: Basin-Preserving Discretizations of Modern Hopfield Retrieval Dynamics: Energy Cells, Dissipation, and the Attention Limit arXiv:2608.21304