Is there more detailed information how this works? I used to assume that it can be beneficial to switch to a new chat to avoid having took much irrelevant context in the interaction. How does this personalization happen, how does it decide which parts are relevant from one conversation to another?

It doesn't seem like there's a way to inspect or alter what kind of information Gemini had saved as "important information" about me (apart from deleting chats entirely, apparently).