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LEGO

Laplacian Eigenvector Gradient Orthogonalization

  • LEGO is a spectral approach for robust tangent space estimation.
  • It utilizes global eigenvectors of the graph Laplacian to guide local estimation.

Installation: pip install -e . from the directory containing pyproject.toml.

See examples folder for usage and the notebooks to reproduce the results in the paper:

@article{LEGO2025,
  title={Robust Tangent Space Estimation via Laplacian Eigenvector Gradient Orthogonalization},
  author={Kohli, Dhruv and Robertson, Sawyer J and Mishne, Gal and Cloninger, Alexander},
  journal={arXiv preprint arXiv:2510.02308},
  year={2025}
}

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