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Concise One-Layer Transformers Can Do Function Evaluation (Sometimes)

  • Concise 1-layer transformers have the ability to evaluate arbitrary functions under certain input representations.
  • However, they are incapable of performing this task when the function's inputs and values are assigned to different input positions.
  • Concise 2-layer transformers can successfully evaluate functions even with challenging input representations.
  • Experimental findings suggest a correlation between what concise transformers can compute and what can be effectively learned.

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