arXiv Machine Learning
Oct 16

Hard Way, The Only Way: Provable Merits of Training on Hardest Examples

The paper presents a high‑dimensional theory of learning with data pruning via weighted empirical risk minimization. It analyzes pruning along a one‑dimensional subspace and derives limiting test‑error curves as input dimension and sample size grow with a fixed ratio. The authors show that, in the high‑sample regime, the optimal strategy is to keep only the 2N hardest examples, achieving a Bayes‑optimal error scaling of order N/P instead of the usual sqrt(N/P).

By Elvis Dohmatob
arXiv Computer Vision
1d ago

Is Oracle Pruning the True Oracle?

arXiv:2412.00143v3 Announce Type: replace-cross Abstract: Oracle pruning, which selects unimportant weights by minimizing the pruned train loss, has served as the foundation for most neural network p...

By Sicheng Feng, Keda Tao, Huan Wang