Research ideas

Every idea extracted from recent arXiv mathematics papers — verified and unverified. Click an idea to open its full card; badges show the empirical verdict.

Unverified 2026

Powered Ratio Pruning for Heads and Channels

Replace an ordinary group-L1 penalty on structured neural components with a powered ratio-of-norms penalty applied to their nonnegative importance magnitudes. The ratio encourages importance to concentrate on a small number of heads, channels, or experts while being less sensitive to arbitrary rescaling of the underlying weights. After training, components with small importance can be physically removed and the model can be fine-tuned.

Useful6/10
Difficulty4/10
Novelty6/10
Paper: Separable Nonnegative Matrix Factorization Using Powered Ratio-of-Norms Regularization arXiv:2608.28799