Geometry ideas

Research ideas extracted from mathematics papers, categorized as Geometry.

Unverified 2026

Fisher-Width-Balanced Sparse Fine-Tuning

Select the coordinates of a sparse adapter or sparse fine-tuning mask using both Fisher width and inverse-Fisher width. The mask should avoid parameter subsets that are cheap in the Fisher geometry but extremely large in the inverse-Fisher geometry, or vice versa, thereby controlling both prediction sensitivity and estimator-like uncertainty.

Useful6/10
Difficulty5/10
Novelty6/10
Paper: Fisher Widths: Local Learning Geometry and Anisotropic Recovery arXiv:2607.20578