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"I feel I'm on pretty solid ground here"

If you think so, you should publish your results. It seems like a lot of bright people are going down the road of using LLM for algorithmic tasks. To follow steps.

I think what I'm reaching for, is a little more esoteric, that out of all the data the model is trained on, that it has also started building up algorithms/steps in its 'model', which is part of how it pics the next item.

The whole reason algorithmic prompting started was people started noticing the LLM was already attempting some steps, and that if it was further helped along by prompting the steps, then the results were better.

But, I am using 'algorithm' rather loosely, as just 'steps', and they are a bit fuzzy, so not a purely math algorithm, but more of a fuzzy logic, a first start at reasoning.

edit also, I should clarify. I am not confusing the algorithm to make the model versus the model, i'm saying in the model it learns to follow steps.




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