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FIG (Functional Information Geometry)

FIG is a method for dimensionality reduction and structure discovery in noisy, high-dimensional dynamical processes, with a focus on recovering latent geometry and enabling meaningful data visualization.

Overview of the FIG pipeline. Data are transformed into a functional basis, local covariance structure is estimated, functional PCA is performed, and distances are computed via a functional Mahalanobis metric.


Requirements

The PHATE package is required.

Demo notebooks

There is a Python demo on how to use FIG.


📄 Paper

Haozhe Chen, Andres Felipe Duque Correa, Guy Wolf, Kevin R. Moon
“Data Visualization using Functional Data Analysis,” SampTA 2025.

Preprint version:
https://arxiv.org/abs/2406.03396


📌 Citation

If you use this code or build upon this work, please cite:

@inproceedings{chen2025fig,
  title={Data Visualization using Functional Data Analysis},
  author={Chen, Haozhe and Duque Correa, Andres Felipe and Wolf, Guy and Moon, Kevin R},
  booktitle={Proceedings of SampTA},
  year={2025}
}

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