MAPLE: Self-Supervised Learning-Enhanced Nonlinear Dimensionality Reduction for Visual Analysis
cs.LG, cs.HC
Submitted: 2026-01-28
Updated: 2026-09-12
Code: https://github.com/zeyh/MAPLE
Project page: https://cole-trapnelllab.github.io/monocle3/docs/trajectories
License: http://creativecommons.org/licenses/by/4.0/
The gist: We present a new nonlinear dimensionality reduction method, MAPLE, that enhances UMAP by improving manifold modeling.
Terminology
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.
Sources
- Deep Nearest Neighbor Anomaly Detection
- The Shape of Attraction in UMAP: Exploring the Embedding Forces in Dimensionality Reduction
- UMAP: Uniform Manifold Approximation and Projection for Dimension Reduction
- Fashion-MNIST: a Novel Image Dataset for Benchmarking Machine Learning Algorithms
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