# ![][logo] adaptive [](https://pypi.python.org/pypi/adaptive) [](https://anaconda.org/conda-forge/adaptive) [](https://anaconda.org/conda-forge/adaptive) [](https://gitlab.kwant-project.org/qt/adaptive/pipelines) [](https://zenodo.org/badge/latestdoi/113714660) [](https://mybinder.org/v2/gh/python-adaptive/adaptive/master?filepath=learner.ipynb) [](https://gitter.im/python-adaptive/adaptive) **Tools for adaptive parallel sampling of mathematical functions.** `adaptive` is an [open-source](LICENSE) Python library designed to make adaptive parallel function evaluation simple. With `adaptive` you just supply a function with its bounds, and it will be evaluated at the "best" points in parameter space. With just a few lines of code you can evaluate functions on a computing cluster, live-plot the data as it returns, and fine-tune the adaptive sampling algorithm. Check out the `adaptive` [example notebook `learner.ipynb`](learner.ipynb) (or run it [live on Binder](https://mybinder.org/v2/gh/python-adaptive/adaptive/master?filepath=learner.ipynb)) to see examples of how to use `adaptive`. **WARNING: `adaptive` is still in a beta development stage** ## Implemented algorithms The core concept in `adaptive` is that of a *learner*. A *learner* samples a function at the best places in its parameter space to get maximum "information" about the function. As it evaluates the function at more and more points in the parameter space, it gets a better idea of where the best places are to sample next. Of course, what qualifies as the "best places" will depend on your application domain! `adaptive` makes some reasonable default choices, but the details of the adaptive sampling are completely customizable. The following learners are implemented: * `Learner1D`, for 1D functions `f: ℝ → ℝ^N`, * `Learner2D`, for 2D functions `f: ℝ^2 → ℝ^N`, * `LearnerND`, for ND functions `f: ℝ^N → ℝ^M`, * `AverageLearner`, For stochastic functions where you want to average the result over many evaluations, * `IntegratorLearner`, for when you want to intergrate a 1D function `f: ℝ → ℝ`, * `BalancingLearner`, for when you want to run several learners at once, selecting the "best" one each time you get more points. In addition to the learners, `adaptive` also provides primitives for running the sampling across several cores and even several machines, with built-in support for [`concurrent.futures`](https://docs.python.org/3/library/concurrent.futures.html), [`ipyparallel`](https://ipyparallel.readthedocs.io/en/latest/) and [`distributed`](https://distributed.readthedocs.io/en/latest/). ## Examples <img src="https://user-images.githubusercontent.com/6897215/38739170-6ac7c014-3f34-11e8-9e8f-93b3a3a3d61b.gif" width='20%'> </img> <img src="https://user-images.githubusercontent.com/6897215/35219611-ac8b2122-ff73-11e7-9332-adffab64a8ce.gif" width='40%'> </img> ## Installation `adaptive` works with Python 3.6 and higher on Linux, Windows, or Mac, and provides optional extensions for working with the Jupyter/IPython Notebook. The recommended way to install adaptive is using `conda`: ```bash conda install -c conda-forge adaptive ``` `adaptive` is also available on PyPI: ```bash pip install adaptive[notebook] ``` The `[notebook]` above will also install the optional dependencies for running `adaptive` inside a Jupyter notebook. ## Development Clone the repository and run `setup.py develop` to add a link to the cloned repo into your Python path: ``` git clone git@github.com:python-adaptive/adaptive.git cd adaptive python3 setup.py develop ``` We highly recommend using a Conda environment or a virtualenv to manage the versions of your installed packages while working on `adaptive`. In order to not pollute the history with the output of the notebooks, please setup the git filter by executing ```bash python ipynb_filter.py ``` in the repository. ## Credits We would like to give credits to the following people: - Pedro Gonnet for his implementation of [`CQUAD`](https://www.gnu.org/software/gsl/manual/html_node/CQUAD-doubly_002dadaptive-integration.html), "Algorithm 4" as described in "Increasing the Reliability of Adaptive Quadrature Using Explicit Interpolants", P. Gonnet, ACM Transactions on Mathematical Software, 37 (3), art. no. 26, 2010. - Pauli Virtanen for his `AdaptiveTriSampling` script (no longer available online since SciPy Central went down) which served as inspiration for the [`Learner2D`](adaptive/learner/learner2D.py). For general discussion, we have a [Gitter chat channel](https://gitter.im/python-adaptive/adaptive). If you find any bugs or have any feature suggestions please file a GitLab [issue](https://gitlab.kwant-project.org/qt/adaptive/issues/new?issue) or submit a [merge request](https://gitlab.kwant-project.org/qt/adaptive/merge_requests). [logo]: https://gitlab.kwant-project.org/qt/adaptive/uploads/d20444093920a4a0499e165b5061d952/logo.png "adaptive logo"