arXiv Machine Learning By Diede P. M. van der Hoorn, Alessio Arleo, Fernando V. Paulovich

When One Point Is Not Enough: Addressing Ambiguous Instances in Dimensionality Reduction by Splitting

Read the original on arXiv Machine Learning →

arXiv:2605. 23540v2 Announce Type: replace Abstract: Dimensionality Reduction (DR) methods are widely used to visualize high-dimensional data.

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arXiv Machine Learning
Aug 28

The Rashomon Effect for Visualizing High-Dimensional Data

The paper introduces the Rashomon set for dimension reduction, a collection of equally good embeddings that preserve high‑dimensional structure. It proposes PCA‑informed alignment to make axes interpretable, concept‑alignment regularization to incorporate external knowledge, and a method to extract trustworthy nearest‑neighbor relationships across the Rashomon set for refined embeddings. These techniques aim to produce interpretable, robust, and goal‑aligned visualizations by leveraging multiple valid embeddings instead of a single one.

By Yiyang Sun, Haiyang Huang, Gaurav Rajesh Parikh, Cynthia Rudin
arXiv Machine Learning
Jun 4

On Out-of-sample Embedding in UMAP

arXiv:2606. 04451v1 Announce Type: new Abstract: Neighbor embedding algorithms reveal correlations in high-dimensional data by constructing an equivalent graph representation in a lower-dimensional space.

By Mohammad Tariqul Islam, Jason W. Fleischer