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Paper · arXiv

MEDAL: Manifold Embedding Distillation via Autoencoder Learning

Low-dimensional embeddings are widely used as visual summaries of high-dimensional data and to enable downstream scientific discoveries. Yet, popular nonlinear dimension reduction methods, such as t-SNE and UMAP, are often selected based on visual appeal alone and without rigorous quantitative validation. A major reason is that manifold embeddings typically do not provide an out-of-sample map nor an inverse back to the original feature space; this makes held-out validation, the gold standard in supervised learning, all but impossible. To address these challenges, we develop a novel framework, MEDAL (Manifold Embedding Distillation via Autoencoder Learning), which distills a fitted manifol...

AuthorsIrene Chang, Tarek M. Zikry, Genevera I. Allen
Primary categorystat.ML
Published22 May 2026
Last updated at source22 May 2026
stat.MLcs.LG
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