What is the effect of applying a QuantileTransformer with output_distribution=’normal’ to a uniform distribution?

Question

Data Science — Hard

What is the effect of applying a QuantileTransformer with output_distribution=’normal’ to a uniform distribution?

Accepted Answer

The QuantileTransformer performs a non-linear transformation by mapping the input data to a target distribution. By setting output_distribution='normal', the algorithm uses the inverse cumulative distribution function (CDF) to map the input quantiles to the corresponding quantiles of a normal distribution. This is a powerful technique for normalizing data regardless of the input distribution's shape, provided there is sufficient data to estimate the quantiles.