Transformationally decoupling clustering and tracer bias

Understand

Gaussianizing transformations are used statistically in many non-cosmological fields, but in cosmology, we are only starting to apply them.

• Here I explain a strategy of analyzing the 1-point function (PDF) of a spatial field, together with the 'essential' clustering statistics of the Gaussianized field, which are invariant to a local transformation.
• In cosmology, if the tracer sampling is sufficient, this achieves two important goals.
• First, it can greatly multiply the Fisher information, which is negligible on nonlinear scales in the usual $\delta$ statistics.