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Cluster analysis is the task of partitioning data into subsets of objects according to their mutual "similarity," without using preexisting knowledge such as class labels. [Clustered-standard-errors and/or cluster-samples should be tagged as such; do NOT use the "clustering" tag for them.]

0 votes
1 answer
2k views

Compute the accuracy of a clustering algorithm

I have a set of points that I have clustered using a clustering algorithm (k-means in this case). I also know the ground-truth labels and I want to measure how accurate my clustering is. … Many metrics are good for explaining the quality of clustering, and I've used them before, but they are not what I need now. …
6 votes
2 answers
2k views

Understand important features in UMAP

I am using a dimensionality reduction algorithm (UMAP) to cluster high-dimensional data. Particularly, I have ~50000 vectors of dimension ~20000 to visualise. These vectors are highly structured: Th …
1 vote
1 answer
77 views

Does PCA preserve convexity of a space?

I have a cluster $C$ of points in a high dimensional space $\mathbb R^n$. I want to know whether this cluster is convex or not. How can i study this? I thought of projecting $C$ on $\mathbb R^2$ to vi …