Minimal overparametrization makes exact certification from examples exponentially hard for depth-2 threshold circuits and log-precision Transformers.
Formal language recognition by hard attention transform- ers: Perspectives from circuit complexity.Transactions of the Association for Computational Linguistics, 10:800–810, 2022
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Certification from Examples is Hard for Circuits and Transformers under Minimal Overparametrization
Minimal overparametrization makes exact certification from examples exponentially hard for depth-2 threshold circuits and log-precision Transformers.