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.
View on arXiv@article{cohen2025_2504.02083,
title={ Measuring the Data },
author={ Ido Cohen },
journal={arXiv preprint arXiv:2504.02083},
year={ 2025 }
}