[nostromo]

What good is placement within a matrix if you can't see what the axes are?

[Galanwe]

I don't get it as well.

The color dimension is configurable, so it makes sense.

But I don't get what the 3 dimensions of spatial coordinates are, and how to change them.

--- Edit

Alright my bad it's actually explained in the "tour": https://pair-code.github.io/understanding-umap/

It seems to be some kind of multivariate PCA.

[consilient]

> It seems to be some kind of multivariate PCA.

No, UMAP is nonlinear. The general idea is that you generate a neighborhood graph of your data points, do a spectral embedding on that to get your initial result, and then do gradient descent to make its neighborhood graph closer to the high-dimensional one.

[ethanbond]

I guess it's a Principle Component Analysis (PCA) dimensionality reduction so the axes are not necessarily concepts/features with names. More just "abstract dimensions of similarity."

[mortenjorck]

The underlying UMAP model is actually pretty interesting. It's linked to in the tour, though I would have expected it to be featured more prominently: https://pair-code.github.io/understanding-umap/

[intrasight]

Then why is TSM so far away from ASML? What are the UMAP parameters? Perhaps it says somewhere but isn't make prominent.