A Sharper Picture of Generalization in Transformers
Researchers have developed a new theoretical framework to understand how transformers generalize, focusing on the Fourier Spectra of their target functions. This approach utilizes PAC-Bayes theory to derive generalization bounds, contrasting with previous methods based on Rademacher complexity. The study demonstrates that sparse spectra concentrated on low-degree components facilitate low-sharpness constructions with strong generalization properties, supported by empirical evaluations and interpretability studies. AI
IMPACT Provides a new theoretical lens for understanding and potentially improving transformer generalization capabilities.