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.