A Python library for computing persistent homology cost and related topological data analysis tools.

• Python 3.8 or higher
• pip

1. Clone the repository:

git clone https://github.com/habla-liaa/persistent-cost.git
cd persistent-cost

2. Install in editable mode (recommended for development):

pip install -e .

This will automatically install all required dependencies:

• numpy
• scipy
• pandas
• matplotlib
• gudhi

To install additional testing tools:

pip install -e ".[dev]"

The fast Numba and Cython versions of the pivot algorithm are packaged as optional extras:

pip install -e ".[accel]"

After installing the extra, build the Cython extension in-place (required once per environment):

python setup.py build_ext --inplace

The accelerated variants live in persistent_cost.utils.algorithms_fast and expose helpers such as do_pivot_fast, do_pivot_numba, and do_pivot_cython.

pytest tests/

pytest tests/test_utils.py -v

pytest tests/ --cov=persistent_cost --cov-report=html

python tests/test_utils.py

Install the development extras to pull in the Fire CLI helper, ensure at least one accelerated backend is available, then compare runtimes:

pip install -e ".[dev]"
python -m benchmarks.benchmark_pivot benchmark --points=10,30,50 --repeats=5

Use --progress=False to disable progress bars or override any of the other parameters, e.g. --threshold=0.4 --maxdim=3.

• Manuela Cerdeiro
• Pablo Riera
• Thiago Tiracha
• Francisco Gozzi

1. que tolere nubes de un solo punto