sparseSpACE - The Sparse Grid Spatially Adaptive Combination Environment

This python projects implements different variants of the spatially adaptive Combination Technique. It was first targeted to solve high dimensional numerical integration with the spatially adaptive Combination Technique but it now supports the implementation of arbitrary grid operations. It supports already numerical integration, interpolation, Uncertainty Quantification, Sparse Grid Density Estimation (with classificationa nd clustering), regression, and PDE calculations. The github page can be found here.

Installation

Install from PyPI using

pip install sparseSpACE

or (Linux example):

git clone https://github.com/obersteiner/sparseSpACE.git
cd sparseSpACE
pip install -e .

Tutorials

A short introduction in how to use the framework can be found in the ipynb tutorials (see ipynb folder at https://github.com/obersteiner/sparseSpACE.git):

Tutorial.ipynb
Grid_Tutorial.ipynb
Extend_Split_Strategy_Tutorial.ipynb
Tutorial_DensityEstimation.ipynb
Tutorial_DEMachineLearning.ipynb
Tutorial_Extrapolation.ipynb
Tutorial_UncertaintyQuantification.ipynb
Tutorial_Regression.ipynb

Plotting

The framework also supports various options for plotting the results. Examples can be found in the ipynb/Diss folder and in the Tutorials.

Software requirements

These software requirements are automatically installed when using pip. But as a reference we list here the necessary libraries and versions (see requirements.txt):

python3 (3.5 or higher)
scipy (1.1.0 or higher)
numpy
matplotlib
ipython3 (for Tutorials)
ipython3 notebooks or jupyter notebook (for Tutorials)
chaospy (for UQ)
scikit-learn (for SGDE)
dill (for saving/loading the current state of the refinement to/from a file)
sympy (1.6 or higher)

Development

For development clone the repository from github and use the configure script which will install the library in modifiable mode and apply the git hooks used for the project.