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How to Overcome a Quality Gap in Synthetic Languages
The test was simple is just okay, each sentence has this very simple mapping of letters to numbers. I can write a little piece of Python code to solve it can the states based model solve it. And what we found is that transformers could do this fine. They would get to 100% accuracy, kind of every single time and things would work out really well. But when we swapped out the attention for the state space model, we found out that it couldn't solve these synthetic languages. You would think that this powerful primitive can solve it. What we ended up finding was that there's kind of some fundamental limitations in the exact expression of the state space models.