mlsanityData to 14 Oct 2026

Measuring the Data

arXiv 2504.02083 ↗First posted 2 Apr 2025cs.LGcited by 0

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Abstract (arXiv)

Measuring the Data analytically finds the intrinsic manifold in big data. First, Optimal Transport generates the tangent space at each data point from which the intrinsic dimension is revealed. Then, the Koopman Dimensionality Reduction procedure derives a nonlinear transformation from the data to the intrinsic manifold. Measuring the data procedure is presented here, backed up with encouraging results.

Key facts. No citing papers in the map yet (data through 14 Oct 2026). Builds on 4 of its 44 references that are in the map. First posted on arXiv 2 Apr 2025.

Builds on

4 of 44 references.

References · 4

  1. 2018The Sparse Manifold Transformcited by 36
  2. 2023Enhancing Neural Training via a Correlated Dynamics Modelcited by 5
  3. 2024Improving Autoencoder Image Interpolation via Dynamic Optimal Transportcited by 3
  4. 2024Data representation with optimal transportcited by 3

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