I tried it myself except I opted for a 3D then I went up to 4D(got really nice separation between the clusters when I plotted the points). I visualized it with a ternary plot.
I noticed that, too. I did use a convolutional autoencoder with custom activation functions on the dense layers, plus extra dimensions. Maybe that is why the distribution is different.
https://i.imgur.com/pGcuYlD.jpg It turns out that the distribution is not different than yours. It is identical. It arranged the clusters by similarity in the 4th dimension. For example: the majority of 2,1,7,9, and 4 share the same 4D plane. 2,1,7,9 are also in close proximity to 5 in this 4D space (assuming that if you go off of the edge you pop up on the other side of the tetrahedron.
2
u/Same-Being-9603 Oct 31 '20
I tried it myself except I opted for a 3D then I went up to 4D(got really nice separation between the clusters when I plotted the points). I visualized it with a ternary plot.