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Image Credit: Arxiv

Lightspeed Geometric Dataset Distance via Sliced Optimal Transport

  • Introduction of sliced optimal transport dataset distance (s-OTDD) for dataset comparison without the need for training.
  • Moment Transform Projection (MTP) is utilized to map labels to real numbers, transforming datasets into one-dimensional distributions.
  • s-OTDD is defined as the expected Wasserstein distance between the projected distributions, achieving (near-)linear computational complexity and independence from the number of classes.
  • s-OTDD shows correlation with optimal transport dataset distance, efficiency compared to other discrepancy measures, and performance indicators in transfer learning and data augmentation.

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