Earlier quoted context omitted.
> The question is about relative uncertainty, and the softmax values are just fine for that. They really aren't, especially if you consider the chain of thought / recursive application case, and also that you can't even assume e.g. a difference of 0.1 in softmax values means the same relative difference from input to input, or that e.g. an 0.9 is always "extremely confident", and etc. You really have no idea unless y…
Relative probabilities. That means comparing 2+ alternatives, and we're only talking about the model's worldview, not objective reality. The math for that is relatively straightforward. "Yes" could be 0.9, and ok that means nothing. But If we artificially constraint outputs to "Yes" and "No", and calculate the softmax for Yes to be 0.7 and No to be 0.3, that does lead to a straightforward probability calculation. [No…
There is nothing straightforward about this, and no, there is no such formula.
> I'm not talking about calibrated probabilities at all. Just the notion of "how confident do I feel about this?"
If all you care about is vibes / feels, sure. If you actually need numerical guarantees and quantitative estimates to make your "feelings" about confidence mean something to rigorously justify decisions, you need calibration. If you aren't talking about calibration in these discussions, you are missing probably the most core technical concept that addresses these issues seriously.