You could describe that as taking an input distribution and a sampling procedure and producing an output distribution. This is a difference in sampling procedure that produces a deviation in the output distribution.
(If you don't like calling it a distribution when it's at 100% for the chosen token and 0% for all others, then look at it as an output distribution across all possible prompt inputs, or perhaps just the cluster of prompts that achieve whatever you're trying to accomplish.)
(If you don't like calling it a distribution when it's at 100% for the chosen token and 0% for all others, then look at it as an output distribution across all possible prompt inputs, or perhaps just the cluster of prompts that achieve whatever you're trying to accomplish.)