UMAP: Uniform Manifold Approximation and Projection for Dimension Reduction
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Cited by 71 in Diffusion models, but placed by its own abstract, which didn’t fit.
Abstract (arXiv)
UMAP (Uniform Manifold Approximation and Projection) is a novel manifold learning technique for dimension reduction. UMAP is constructed from a theoretical framework based in Riemannian geometry and algebraic topology. The result is a practical scalable algorithm that applies to real world data. The UMAP algorithm is competitive with t-SNE for visualization quality, and arguably preserves more of the global structure with superior run time performance. Furthermore, UMAP has no computational restrictions on embedding dimension, making it viable as a general purpose dimension reduction technique for machine learning.
Key facts. Cited by 2,841 papers in the map (data through 7 Oct 2026). First posted on arXiv 9 Feb 2018.
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Citing papers per year: 2019: 1; 2020: 0; 2021: 275; 2022: 332; 2023: 411; 2024: 558; 2025: 689; 2026: 575.
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