# Label smoothing formula

I recently came across this paper in section 3.2 it talks about label smoothing loss and how it's equivalent to s equivalent to adding the KL divergence between the uniform distribution u and the network’s predicted distribution p.

$$L = -\sum{log(p)-D_{KL}(u, p)}$$

$$u$$ is the uniform distribution. On the other hand we know that the label smoothing has a distribution of $$1-\epsilon$$ for the target and $$\epsilon/(V-1)$$ for the rest of the labels. Given this I can't infer the formula above from the label smoothing value. Can anyone knows how to solve this problem?