Lower bounds on transformers with infinite precision
arXiv:2412.20195
Abstract
In this note, we use the VC dimension technique to prove the first lower bound against one-layer softmax transformers with infinite precision. We do so for two tasks: function composition, considered by Peng, Narayanan, and Papadimitriou, and the SUM task, considered by Sanford, Hsu, and Telgarsky.