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Re:Transformers Can Do Arithmetic with the Right Embeddings by uoaei on Wednesday May 29, 2024 @08:58AM (#40511493)
You're missing the picture again.

Stepping one level out in the metacognition hierarchy is the key. "Learning to learn" as it were. It is only the relative ease of implementation and deployment of feedforward models like Transformers that makes it seem like we have reached an optimum but we desperately need to move beyond it before it's entrenched too thoroughly.

Re:Transformers Can Do Arithmetic with the Right Embeddings by PeterisP on Wednesday May 29, 2024 @11:55AM (#40513324)
Okay, but it does seem that this hack is in the entirely opposite direction; a pure transformer is more towards "learning to learn" than any special preprocessing to explicitly encode a different representation of numbers.

We probably do have to move beyond transformers, but not in the direction of such hacks, but rather towards even more general representations that could encode the whole class of all such alternate representations and then learn from data which of them work best.

Re:Transformers Can Do Arithmetic with the Right Embeddings by uoaei on Thursday June 06, 2024 @06:29PM (#40603094)
You seem to be making my point just fine. What was your confusion, then?