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antonio-leitao authored Jan 12, 2022
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# Uniform Distributed Persistent Homology (UDiPH)


[![Downloads](https://pepy.tech/badge/udiph)](https://pepy.tech/project/udiph) [![PyPI license](https://img.shields.io/pypi/l/ansicolortags.svg)](https://github.com/Antonio-Leitao/dbsampler/blob/main/LICENSE) [![Maintenance](https://img.shields.io/badge/Maintained%3F-yes-03a80e.svg)](https://github.com/Antonio-Leitao) [![version ](https://img.shields.io/badge/release-0.0.1-blue.svg)](https://pypi.org/project/dbsampler/) [![made-with-python](https://img.shields.io/badge/Made%20with-Python-1f425f.svg)](https://www.python.org/)
[![Downloads](https://pepy.tech/badge/udiph)](https://pepy.tech/project/udiph) [![PyPI license](https://img.shields.io/pypi/l/ansicolortags.svg)](https://github.com/Antonio-Leitao/dbsampler/blob/main/LICENSE) [![Maintenance](https://img.shields.io/badge/Maintained%3F-yes-03a80e.svg)](https://github.com/Antonio-Leitao) [![version ](https://img.shields.io/badge/release-0.0.2-blue.svg)](https://pypi.org/project/udiph/) [![made-with-python](https://img.shields.io/badge/Made%20with-Python-1f425f.svg)](https://www.python.org/)

UDiPH is a package that creates a new metric space where the points are uniformly sampled with respect to a global metric. It is oriented for creating Vietoris-Rips filtrations that are independent of the metric of the initial space. This work is based on [UMAP](https://github.com/lmcinnes/umap).
UDiPH is a package that creates a new metric space where the points are uniformly sampled with respect to a global metric. It is oriented for creating Vietoris-Rips filtrations that are independent of the metric of the initial space. This work is very influced on [UMAP](https://github.com/lmcinnes/umap).

UDiPH excells when comparing homology of spaces with different metrics, for example consider a continuous deformation acting on a set of points:
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