Transformers require Ω(ε^{-d0/(4α)}) to O(ε^{-d0/α}) blocks to approximate bounded d0-dimensional Hölder-α functions to accuracy ε.
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Approximation Error Upper and Lower Bounds for H\"{o}lder Class with Transformers
Transformers require Ω(ε^{-d0/(4α)}) to O(ε^{-d0/α}) blocks to approximate bounded d0-dimensional Hölder-α functions to accuracy ε.