Product Geometries on Cholesky Manifolds with Applications to SPD Manifolds

This is the official code for our Arxiv submission: Product Geometries on Cholesky Manifolds with Applications to SPD Manifolds. [Arxiv].

If you find this project helpful, please consider citing us as follows:

@article{chen2024cholesky,
  title={Product Geometries on Cholesky Manifolds with Applications to SPD Manifolds}, 
  author={Ziheng Chen and Yue Song and Xiao-Jun Wu and Nicu Sebe},
  year={2024},
  journal={arXiv preprint arXiv:2407.02607}
}

Experiments

This is the Matlab code to

validate the numerical stability of our Cholesky metrics (Sec. 7.1),
visualize the tensor interpolation of the induced SPD metrics (Sec. 7.2).

Please run

geodesic_diff.m for the experiments on stability.
swelling_effects for the experiments on tensor interpolation.

GitZH-Chen/CDEM_CDBWM

Product Geometries on Cholesky Manifolds with Applications to SPD Manifolds

Experiments