Translating a point in that mathematical space into an actual image involves a generative process called diffusion.

将数学空间中的一个点转化为实际的图像涉及到一个叫做扩散的生成过程。

They find variables that help improve their performance on the task and in the process, they build out a mathematical space with way more than three-dimensions.

他们找到有助于提高他们在任务中的表现的变量，在这个过程中，他们建立了一个远不止三个维度的数学空间。

In order to understand that this arrangement of pixels is a banana, and this arrangement of pixels is a balloon, it looks for metrics that help separate these images in mathematical space.

为了理解香蕉的像素排列，气球的像素排列，它会去寻找有助于在数学空间中分离这些图像的指标。