Illustration of the score field (represented by the vector field) on the simple two-dimensional “two moons” distribution. The score field points in the direction of regions of higher probability. A noisy sample from the distribution is shown in red, while the denoised sample computed using equation Eq. (18) is shown in orange. This illustrates how the variance multiplied by the score function, represented by the black arrow, can project the sample onto the high density of the distribution.