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F. Rousseau

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#artificial intelligence Preprint Feb 2026

Discovering Data Manifold Geometry through Geometric Properties

An unsupervised objective is derived that learns structural properties of a representation map and theoretical results connecting its minimization to tangent-space recovery are established, while an autoencoder baseline shows that small map-first errors can still produce substantial violations of the targeted propertie...

David Vigouroux, L. Drumetz, R. Fablet et al. · 2 citations

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