Translations:Diffusion Models Are Real-Time Game Engines/31/zh

其中 Failed to parse (SVG with PNG fallback (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle T = {\{ o_{i \leq n},a_{i \leq n}\}} \sim \mathcal{T}_{代理}} ，$x_{0}=\phi {(o_{n})}$，$t\sim {\mathcal {U}}{(0,1)}$，$\epsilon \sim {\mathcal {N}}{(0,\mathbf {I} )}$，$x_{t}={{\sqrt {{\overline {\alpha }}_{t}}}x_{0}+{\sqrt {1-{\overline {\alpha }}_{t}}}\epsilon }$，$v{(\epsilon ,x_{0},t)}={{\sqrt {{\overline {\alpha }}_{t}}}\epsilon -{\sqrt {1-{\overline {\alpha }}_{t}}}x_{0}}$，而 $v_{\theta ^{\prime }}$ 是模型 $f_{\theta }$ 的 v预测输出。噪声调度 ${\overline {\alpha }}_{t}$ 是线性的，与 Rombach 等（2022）类似。