Hi All,

I am unable to understand 1Lipschitz continuous condition. Suppose if function id y=5x, then its derivative is 5 for any value of x, but even though its linear, its not growing fast, 1L condition fails as derivative is 5. Also its norm will be 5 only.

while implementing gradient penalty using regularization, interpolated image is used. But feature space for critic is so vast, I am assuming feature space as all kind of images real, fake. How taking only single interpolated image (for a real and fake image pair ) will ensure that function is 1L continuous. I mean, how concept of checking 1L continuity using all feature space point , can be reduced to just using one interpolated image.