Cool shares! There is probably so much we could do with these sorts of shader. Here is an example of self-based bias using the power scalar.
The self biasing here basicaly hardens the darks, but also creates a smoothing effect where it transitions to black a bit.
A note: The Bias scalar, and some others I believe, clamp to 0-1, so you'll want to do any noise multiplication after a bias. But to that effect, you can similarly use the Colour Adjust Shader and use Gamma to do a sort of bias effect. And if you unclamp it, the bias effect isn't clamped like with the bias shader.