by Patrick LaVictoire 1196 days ago | link | parent Note also that $$v_0(P)$$ is maximized when $$P$$ has full support on the distribution of $$Q$$ and when $$s$$ has a high average on $$P$$. That is, it’s at most $$\epsilon$$ from maximized when $$P$$ is $$(1-\epsilon)$$ times a delta function on an $$s$$-maximizing point, plus $$\epsilon$$ times the distribution of $$Q$$. So $$v_0$$ essentially corresponds to a raw maximizer, and $$v_\alpha$$ for $$0<\alpha<1$$ interpolates between maximizing and softmax.

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