Why is ATS differentiable?

[kaikai23]

Hi, may I ask why is the ATS differentiable?

In my understanding, because the CDF function (equation (4) in the paper) is piecewise constant, the inverse of CDF (equation (5) in the paper) is also piecewise constant and thus is not differentiable. Did I miss something?

Thank you in advance!

[Andyyoung0507]

It uses the Gumble-softmax to make propagation come true.

[nhw649]

It uses the Gumble-softmax to make propagation come true.

May I ask on which line of the code is it

[lijun2005]

It uses the Gumble-softmax to make propagation come true.

May I ask on which line of the code is it

I am also confused about this.