Translations:Diffusion Models Are Real-Time Game Engines/16/en

An Interactive Environment ${\mathcal {E}}$ consists of a space of latent states ${\mathcal {S}}$, a space of partial projections of the latent space ${\mathcal {O}}$, a partial projection function $V:{\mathcal {S}}\rightarrow {\mathcal {O}}$, a set of actions ${\mathcal {A}}$, and a transition probability function $p\left(s\,|\,a,s^{\prime }\right)$ such that $s,s^{\prime }\in {\mathcal {S}},a\in {\mathcal {A}}$.