Stability ideas

Research ideas extracted from mathematics papers, categorized as Stability.

Unverified 2026

Gaussian Extreme-Logit Calibration

Normalize attention or router logits and control their upper tail using the paper's sharper Gaussian-maximum exponent rather than a correlation-blind sub-Gaussian bound. Use the resulting threshold to add a soft penalty or adaptive temperature whenever the observed maximum exceeds the calibrated level, reducing rare one-token or one-expert domination.

Useful5/10
Difficulty4/10
Novelty6/10
Paper: Gaussian Convexity Principles for Sharp Moderate Deviations of Gaussian Maxima and Critical SK Free Energy Variance arXiv:2607.21392
Unverified 2026

Induced-Star-Free Stable Graph Propagation

Constrain a learned binary graph or sparse attention-routing graph so that every node neighborhood has no independent set of size k. This local anti-star condition gives an explicit upper bound on the graph Laplacian spectral radius, allowing a larger but certified stable diffusion step or residual propagation coefficient.

Useful5/10
Difficulty6/10
Novelty6/10
Paper: The largest Laplacian eigenvalue of induced-$K_{1,r}$-free graphs arXiv:2607.09390