Density much larger than 1

[doub7e]

Hi! I understand that the density metric is not upper-bounded by 1 and the expectation of density given two identical distributions is 1. However, when I evaluate the density for StyleGAN2 trained on FFHQ, the density is much larger than 1. For the pre-trained StyleGAN2-F, the density is around 1.12. For a fine-tuned StyleGAN2 that obtains higher precision, the density goes up to around 1.5 . Is this an ill behavior of the density metric?

Thanks in advance!