It's nice to see a paper that confirms what anyone who has practiced using LLM tools already knows very well, heuristically. Keeping your context clean matters, "conversations" are only a construct of product interfaces, they hurt the quality of responses from the LLM itself, and once your context is "poisoned" it will not recover, you need to start fresh with a new chat.
> "Good work so far, now I want to take it to another step (somewhat related but feeling it too hard): . Do you think we can do it in this conversation or is it better to start fresh? If so, prepare an initial prompt for your next fresh instantiation."
Sometimes the model says that it might be better to start fresh, and prepares a good summary prompt (including a final 'see you later'), whereas in other cases it assures me it can continue.
I have a lot of notebooks with "initial prompts to explore forward". But given the sycophancy going on as well as one-step RL (sigh) post-training [1], it indeed seems AI platforms would like to keep the conversation going.
[1] RL in post-training has little to do with real RL and just uses one shot preference mechanisms with an RL inspired training loop. There is very little work in terms of long-term preferences slash conversations, as that would increase requirements exponentially.