inverse_transform() in PaCMAP

[anv-ch]

Hi
I would like to know if there is a possibility to transform data back to its original space in PaCMAP? Like method inverse_transform(X) in PCA
More specifically, I want to change data in the embedded low-dimensional space and to see what data in the original space it corresponds.
Thank you in advance!

[YingfanWang]

Hi! Unfortunately it is impossible to transform data back to its original space in PaCMAP. PaCMAP is a nonlinear method that optimizes the low dimension embedding by applying attractive/repulsive forces between points. There is no explicit transformation function between the high dimensional data and low dimensional embedding.