Abstract:We present a new nonlinear dimensionality reduction method, MAPLE, that enhances UMAP by improving manifold modeling. MAPLE employs a self-supervised learning approach to more efficiently encode low-dimensional manifold geometry. Central to this approach are maximum manifold capacity representations (MMCRs), which help untangle complex manifolds by compressing variances among locally similar data points while amplifying variance among dissimilar data points. This design is particularly effective for high-dimensional data with substantial intra-cluster variance and curved manifold structures, such as biological or image data. Our qualitative and quantitative evaluations demonstrate that MAPLE can produce clearer visual cluster separations and finer subcluster resolution than UMAP while maintaining tractable computational cost.
| Subjects: | Machine Learning (cs.LG); Human-Computer Interaction (cs.HC) |
| Cite as: | arXiv:2601.20173 [cs.LG] |
| (or arXiv:2601.20173v2 [cs.LG] for this version) | |
| https://doi.org/10.48550/arXiv.2601.20173 arXiv-issued DOI via DataCite |
From: Zeyang Huang [view email]
[v1]
Wed, 28 Jan 2026 02:14:17 UTC (6,970 KB)
[v2]
Wed, 13 May 2026 22:42:54 UTC (16,747 KB)
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