Comments (2)
That's clear enough for me, thank you for your explanation!
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The loss values predicted by the formula are unlikely to exactly match the final loss of the model.
This is because we borrow some of its parameters from the values put forth in Chinchilla, which were created using a different setup, some different hyperparameters (learning rate, schedule etc.) leading to different loss values (See Appendix B). However, the trend predicted by the formula is expected to be accurate, e.g. plugging in two model configurations to compare which one should have a better loss (as for Figure 1, right). Or if you e.g. modify U_d = D / 7
to U_d = D / 5
in your code, you will get a sense of how much your loss should improve relatively by having more unique data (e.g. relatively speaking U_d = D / 7
-> U_d = D / 5
gives a higher boost than U_d = D / 3
-> U_d = D / 1
).
In Figure 5 left, the loss predictions from the formula are all shifted by a constant, such that they match with the actual loss at 100%. The point of this Figure is to show how well the trend matches not the actual predicted loss values. Hence the caption says Loss curves predicted by our data-constrained scaling laws are shifted to exactly match the loss at 100% unique data.
, but maybe this isn't made clear enough. Let me know if you have an idea for making this clearer in the paper / the repo! 🧐
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