DiRe recovers exact first Betti numbers on noisy manifold stress tests, matches or beats GPU UMAP on classification, and preserves 3-4 times more topological structure than UMAP on 723K arXiv embeddings at similar speed.
Math.26, 189–206 (1984)
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DiRe-RAPIDS: Topology-faithful dimensionality reduction at scale
DiRe recovers exact first Betti numbers on noisy manifold stress tests, matches or beats GPU UMAP on classification, and preserves 3-4 times more topological structure than UMAP on 723K arXiv embeddings at similar speed.