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[D] Is there a way to prove that there is no cluster in a population?

For example, I am looking for cluster in a dataset of 10000 binary variables. I reduce the number to 50 variables with a PCA, then apply t-sne on it to find clusters in the output.

There are separated shapes in the visualisation of tsne, but I understood that points that are far apart in the output are not always far in the higher dimension space. T-sne can find clusters in a normally distributed dataset.

Can we to prove that data follows a normal distribution in all directions of space? Is there a way to remove variables that would add noise to clustering? Like some kind of variable selection but for clustering?

submitted by /u/elpiro
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Toronto AI is a social and collaborative hub to unite AI innovators of Toronto and surrounding areas. We explore AI technologies in digital art and music, healthcare, marketing, fintech, vr, robotics and more. Toronto AI was founded by Dave MacDonald and Patrick O'Mara.