As far as I know, this is unpublished in the literature. It’s a pretty obscure use case, so that’s not surprising. I have doubts I’ll ever get around to publishing the paper I wanted to write that uses this in an activation function to replace softmax in neural nets, so it probably doesn’t matter much if I show it here.
What’s the solution?
p = (n^c * (c + 1)) / (2^c * n)
As far as I know, this is unpublished in the literature. It’s a pretty obscure use case, so that’s not surprising. I have doubts I’ll ever get around to publishing the paper I wanted to write that uses this in an activation function to replace softmax in neural nets, so it probably doesn’t matter much if I show it here.