Analysis of UMAP embedding forces shows repulsion controls cluster boundaries while attraction has dual effects, motivating a modification that improves consistency under random initialization.
We then tackle t-SNE (Van der Maaten and Hinton, 2008)
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The Shape of Attraction in UMAP: Exploring the Embedding Forces in Dimensionality Reduction
Analysis of UMAP embedding forces shows repulsion controls cluster boundaries while attraction has dual effects, motivating a modification that improves consistency under random initialization.