1) make model output a full solution, step-by-step, then induce it to revise the solution - repeat this as many times as you have token-budget for. You can do this via prompting alone (see Reflexion for example), or you can fine-tune the model to do that. The paper explores fine-tuning of the base model to turn it into self-revision model.
2) sample step-by-step (one "thought"-sentence per line) solutions from the model, and do it at non-zero temperature to be able to sample multiple next-steps. Then use verifier model to choose between next-step candidates and prefer to continue the rollout of the more promising branches of "thoughts". There are many many methods of exploring such tree when you can score intermediate nodes (beam search is an almost 50 years old algorithm!).
Normally when you run an LLM, you set your prompt and whatever tunable parameters, and the LLM software (eg. lamma.cpp) spits out tokens at whatever rate it can. If you want higher quality, you run a bigger model (though you're limited by the amount of memory you have available). If you want higher speed, you run a smaller model. Hugging Face seems to be looking at ways to make this tradeoff without switching between different models.
I think it *is* an unlock.
1. the reason for generalizations like 'long enough' and 'think more' are apparently because the methods are somewhat obscure 2. those methods are being explored by hugging face to make them less obscure
am I getting that right? I have been struggling to see past the metaphors and understand exactly what additional computation is being done - and here I read its something like multiple guesses being fed back in and chosen among which means its just multiple inferences in series that are all related to solving 1 problem.