# What scenario corresponds to choosing the “true distribution” $p$ in $\textsf{KL}(p\parallel q)$?

I understand that when you think about changing $$q$$ in the Kullback-Leibler divergence $$\textsf{KL}(p\parallel q)$$, this corresponds to trying to find the distribution that minimizes information loss from encoding.

What would be a natural scenario where one would modify $$p$$ instead? In other words, is there a simple interpretation where it would make sense of modifying $$p$$ to reduce an "information cost" that is measured as $$\textsf{KL}(p\parallel q)$$?