> but we know that synthetic datasets make for poor training data
This is a silly generalization. Just google "synthetic data for training LLMs" and you'll find a bunch of papers on it. Here's a decent survey: https://arxiv.org/pdf/2404.07503
It's very likely o1 used synthetic data to train the model and/or the reward model they used for RLHF. Why do you think they don't output the chains...? They literally tell you - competitive reasons.
Arxiv is free, pick up some papers. Good deep learning texts are free, pick some up.
> but we know that synthetic datasets make for poor training data
This is a silly generalization. Just google "synthetic data for training LLMs" and you'll find a bunch of papers on it. Here's a decent survey: https://arxiv.org/pdf/2404.07503
It's very likely o1 used synthetic data to train the model and/or the reward model they used for RLHF. Why do you think they don't output the chains...? They literally tell you - competitive reasons.
Arxiv is free, pick up some papers. Good deep learning texts are free, pick some up.