Meanwhile, people noticed that for deployed models, inference cost often outweighs the initial training costs. It's sometimes better to train a smaller, faster model longer on more data, because it has lower overall cost (including environmental impact) if you're expecting to run the model a few million or billion times (e.g., [1]). So training past the Chinchilla optimum point became a lot more common, particularly after Llama.
Doubling your parameter count past that ratio will yield a better model than doubling your data and is much easier and cheaper to do.
No one really knows the answer to this question.
>Arguably because there's a larger state space that can be used to remember more contexts, which helps with both generalization and case-specific processing.
What I'm trying to say is that both models in either scenario are very over-parameterized and under-trained.
You say the answer is extra space ? The smaller model has not used anywhere near the space it has. They both have extra space.
It's like arguing a bigger drum is better because of extra space when all the water you plan to store will not take even half of your smaller drum
This doesn't take inference into account either, obviously.