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https://github.com/uber/bayesmark

Benchmark framework to easily compare Bayesian optimization methods on real machine learning tasks
https://github.com/uber/bayesmark

bayesian-optimization benchmark-framework machine-learning sklearn

Last synced: 30 days ago
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Benchmark framework to easily compare Bayesian optimization methods on real machine learning tasks

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Installation
============

This project provides a benchmark framework to easily compare Bayesian optimization methods on real machine learning tasks.

This project is experimental and the APIs are not considered stable.

This Bayesian optimization (BO) benchmark framework requires a few easy steps for setup. It can be run either on a local machine (in serial) or prepare a *commands file* to run on a cluster as parallel experiments (dry run mode).

Only ``Python>=3.6`` is officially supported, but older versions of Python likely work as well.

The core package itself can be installed with:

.. code-block:: bash

pip install bayesmark

However, to also require installation of all the "built in" optimizers for evaluation, run:

.. code-block:: bash

pip install bayesmark[optimizers]

It is also possible to use the same pinned dependencies we used in testing by `installing from the repo <#install-in-editable-mode>`_.

Building an environment to run the included notebooks can be done with:

.. code-block:: bash

pip install bayesmark[notebooks]

Or, ``bayesmark[optimizers,notebooks]`` can be used.

A quick example of running the benchmark is `here <#example>`_. The instructions are used to generate results as below:

.. image:: https://user-images.githubusercontent.com/28273671/66338456-02516b80-e8f6-11e9-8156-2e84e04cf6fe.png
:width: 95 %

Non-pip dependencies
--------------------

To be able to install ``opentuner`` some system level (non-pip) dependencies must be installed. This can be done with:

.. code-block:: bash

sudo apt-get install libsqlite3-0
sudo apt-get install libsqlite3-dev

On Ubuntu, this results in:

.. code-block:: console

> dpkg -l | grep libsqlite
ii libsqlite3-0:amd64 3.11.0-1ubuntu1 amd64 SQLite 3 shared library
ii libsqlite3-dev:amd64 3.11.0-1ubuntu1 amd64 SQLite 3 development files

The environment should now all be setup to run the BO benchmark.

Running
=======

Now we can run each step of the experiments. First, we run all combinations and then run some quick commands to analyze the output.

Launch the experiments
----------------------

The experiments are run using the experiment launcher, which has the following interface:

.. code-block::

usage: bayesmark-launch [-h] [-dir DB_ROOT] [-odir OPTIMIZER_ROOT] [-v] [-u UUID]
[-dr DATA_ROOT] [-b DB] [-o OPTIMIZER [OPTIMIZER ...]]
[-d DATA [DATA ...]]
[-c [{DT,MLP-adam,MLP-sgd,RF,SVM,ada,kNN,lasso,linear} ...]]
[-m [{acc,mae,mse,nll} ...]] [-n N_CALLS]
[-p N_SUGGEST] [-r N_REPEAT] [-nj N_JOBS] [-ofile JOBS_FILE]

The arguments are:

.. code-block::

-h, --help show this help message and exit
-dir DB_ROOT, -db-root DB_ROOT
root directory for all benchmark experiments output
-odir OPTIMIZER_ROOT, --opt-root OPTIMIZER_ROOT
Directory with optimization wrappers
-v, --verbose print the study logs to console
-u UUID, --uuid UUID length 32 hex UUID for this experiment
-dr DATA_ROOT, --data-root DATA_ROOT
root directory for all custom csv files
-b DB, --db DB database ID of this benchmark experiment
-o OPTIMIZER [OPTIMIZER ...], --opt OPTIMIZER [OPTIMIZER ...]
optimizers to use
-d DATA [DATA ...], --data DATA [DATA ...]
data sets to use
-c, --classifier [{DT,MLP-adam,MLP-sgd,RF,SVM,ada,kNN,lasso,linear} ...]
classifiers to use
-m, --metric [{acc,mae,mse,nll} ...]
scoring metric to use
-n N_CALLS, --calls N_CALLS
number of function evaluations
-p N_SUGGEST, --suggestions N_SUGGEST
number of suggestions to provide in parallel
-r N_REPEAT, --repeat N_REPEAT
number of repetitions of each study
-nj N_JOBS, --num-jobs N_JOBS
number of jobs to put in the dry run file, the default
0 value disables dry run (real run)
-ofile JOBS_FILE, --jobs-file JOBS_FILE
a jobs file with all commands to be run

The output files will be placed in ``[DB_ROOT]/[DBID]``. If ``DBID`` is not specified, it will be a randomly created subdirectory with a new name to avoid overwriting previous experiments. The path to ``DBID`` is shown at the beginning of ``stdout`` when running ``bayesmark-launch``. In general, let the launcher create and setup ``DBID`` unless you are appending to a previous experiment, in which case, specify the existing ``DBID``.

The launcher's sequence of commands can be accessed programmatically via :func:`.experiment_launcher.gen_commands`. The individual experiments can be launched programmatically via :func:`.experiment.run_sklearn_study`.

Selecting the experiments
^^^^^^^^^^^^^^^^^^^^^^^^^

A list of optimizers, classifiers, data sets, and metrics can be listed using the ``-o``/``-c``/``-d``/``-m`` commands, respectively. If not specified, the program launches all possible options.

Selecting the optimizer
^^^^^^^^^^^^^^^^^^^^^^^

A few different open source optimizers have been included as an example and are considered the "built-in" optimizers. The original repos are shown in the `Links <#links>`_.

The data argument ``-o`` allows a list containing the "built-in" optimizers:

.. code-block::

"HyperOpt", "Nevergrad-OnePlusOne", "OpenTuner-BanditA", "OpenTuner-GA", "OpenTuner-GA-DE", "PySOT", "RandomSearch", "Scikit-GBRT-Hedge", "Scikit-GP-Hedge", "Scikit-GP-LCB"

or, one can specify a user-defined optimizer. The class containing an optimizer conforming to the API must be found in in the folder specified by ``--opt-root``. Additionally, a configuration defining each optimizer must be defined in ``[OPT_ROOT]/config.json``. The ``--opt-root`` and ``config.json`` may be omitted if only built-in optimizers are used.

Additional details for providing a new optimizer are found in `adding a new optimizer <#adding-a-new-optimizer>`_.

Selecting the data set
^^^^^^^^^^^^^^^^^^^^^^

By default, this benchmark uses the `sklearn example data sets `_ as the "built-in" data sets for use in ML model tuning problems.

The data argument ``-d`` allows a list containing the "built-in" data sets:

.. code-block::

"breast", "digits", "iris", "wine", "boston", "diabetes"

or, it can refer to a custom ``csv`` file, which is the name of file in the folder specified by ``--data-root``. It also follows the convention that regression data sets start with ``reg-`` and classification data sets start with ``clf-``. For example, the classification data set in ``[DATA_ROOT]/clf-foo.csv`` is specified with ``-d clf-foo``.

The ``csv`` file can be anything readable by pandas, but we assume the final column is the target and all other columns are features. The target column should be integer for classification data and float for regression. The features should float (or ``str`` for categorical variable columns). See ``bayesmark.data.load_data`` for more information.

Dry run for cluster jobs
^^^^^^^^^^^^^^^^^^^^^^^^

It is also possible to do a "dry run" of the launcher by specifying a value for ``--num-jobs`` greater than zero. For example, if ``--num-jobs 50`` is provided, a text file listing 50 commands to run is produced, with one command (job) per line. This is useful when preparing a list of commands to run later on a cluster.

A dry run will generate a command file (e.g., ``jobs.txt``) like the following (with a meta-data header). Each line corresponds to a command that can be used as a job on a different worker:

.. code-block::

# running: {'--uuid': None, '-db-root': '/foo', '--opt-root': '/example_opt_root', '--data-root': None, '--db': 'bo_example_folder', '--opt': ['RandomSearch', 'PySOT'], '--data': None, '--classifier': ['SVM', 'DT'], '--metric': None, '--calls': 15, '--suggestions': 1, '--repeat': 3, '--num-jobs': 50, '--jobs-file': '/jobs.txt', '--verbose': False, 'dry_run': True, 'rev': '9a14ef2', 'opt_rev': None}
# cmd: python bayesmark-launch -n 15 -r 3 -dir foo -o RandomSearch PySOT -c SVM DT -nj 50 -b bo_example_folder
job_e2b63a9_00 bayesmark-exp -c SVM -d diabetes -o PySOT -u 079a155f03095d2ba414a5d2cedde08c -m mse -n 15 -p 1 -dir foo -b bo_example_folder && bayesmark-exp -c SVM -d boston -o RandomSearch -u 400e4c0be8295ad59db22d9b5f31d153 -m mse -n 15 -p 1 -dir foo -b bo_example_folder && bayesmark-exp -c SVM -d digits -o RandomSearch -u fe73a2aa960a5e3f8d78bfc4bcf51428 -m acc -n 15 -p 1 -dir foo -b bo_example_folder
job_e2b63a9_01 bayesmark-exp -c DT -d diabetes -o PySOT -u db1d9297948554e096006c172a0486fb -m mse -n 15 -p 1 -dir foo -b bo_example_folder && bayesmark-exp -c SVM -d boston -o RandomSearch -u 7148f690ed6a543890639cc59db8320b -m mse -n 15 -p 1 -dir foo -b bo_example_folder && bayesmark-exp -c SVM -d breast -o PySOT -u 72c104ba1b6d5bb8a546b0064a7c52b1 -m nll -n 15 -p 1 -dir foo -b bo_example_folder
job_e2b63a9_02 bayesmark-exp -c SVM -d iris -o PySOT -u cc63b2c1e4315a9aac0f5f7b496bfb0f -m nll -n 15 -p 1 -dir foo -b bo_example_folder && bayesmark-exp -c DT -d breast -o RandomSearch -u aec62e1c8b5552e6b12836f0c59c1681 -m nll -n 15 -p 1 -dir foo -b bo_example_folder && bayesmark-exp -c DT -d digits -o RandomSearch -u 4d0a175d56105b6bb3055c3b62937b2d -m acc -n 15 -p 1 -dir foo -b bo_example_folder
...

This package does not have built in support for deploying these jobs on a cluster or cloud environment (.e.g., AWS).

The UUID argument
^^^^^^^^^^^^^^^^^

The ``UUID`` is a 32-char hex string used as a master random seed which we use to draw random seeds for the experiments. If ``UUID`` is not specified a version 4 UUID is generated. The used UUID is displayed at the beginning of ``stdout``. In general, the ``UUID`` should not specified/re-used except for debugging because it violates the assumption that the experiment UUIDs are unique.

Aggregate results
-----------------

Next to aggregate all the experiment files into combined (json) files we need to run the aggregation command:

.. code-block::

usage: bayesmark-agg [-h] [-dir DB_ROOT] [-odir OPTIMIZER_ROOT] [-v] -b DB [-rv]

The arguments are:

.. code-block::

-h, --help show this help message and exit
-dir DB_ROOT, -db-root DB_ROOT
root directory for all benchmark experiments output
-odir OPTIMIZER_ROOT, --opt-root OPTIMIZER_ROOT
Directory with optimization wrappers
-v, --verbose print the study logs to console
-b DB, --db DB database ID of this benchmark experiment
-rv, --ravel ravel all studies to store batch suggestions as if
they were serial

The ``DB_ROOT`` must match the folder from the launcher ``bayesmark-launch``, and ``DBID`` must match that displayed from the launcher as well. The aggregate files are found in ``[DB_ROOT]/[DBID]/derived``.

The result aggregation can be done programmatically via :func:`.experiment_aggregate.concat_experiments`.

Analyze and summarize results
-----------------------------

Finally, to run a statistical analysis presenting a summary of the experiments we run

.. code-block::

usage: bayesmark-anal [-h] [-dir DB_ROOT] [-odir OPTIMIZER_ROOT] [-v] -b DB

The arguments are:

.. code-block::

-h, --help show this help message and exit
-dir DB_ROOT, -db-root DB_ROOT
root directory for all benchmark experiments output
-odir OPTIMIZER_ROOT, --opt-root OPTIMIZER_ROOT
Directory with optimization wrappers
-v, --verbose print the study logs to console
-b DB, --db DB database ID of this benchmark experiment

The ``DB_ROOT`` must match the folder from the launcher ``bayesmark-launch``, and ``DBID`` must match that displayed from the launcher as well. The aggregate files are found in ``[DB_ROOT]/[DBID]/derived``.

The ``bayesmark-anal`` command looks for a ``baseline.json`` file in ``[DB_ROOT]/[DBID]/derived``, which states the best possible and random search performance. If no such file is present, ``bayesmark-anal`` automatically calls ``bayesmark-baseline`` to build it. The baselines are inferred from the random search performance in the logs. The baseline values are considered fixed (not random) quantities when ``bayesmark-anal`` builds confidence intervals. Therefore, we allow the user to leave them fixed and do not rebuild them when ``bayesmark-anal`` is called if a baselines file is already present.

The result analysis can be done programmatically via :func:`.experiment_analysis.compute_aggregates`, and the baseline computation via :func:`.experiment_baseline.compute_baseline`.

See :ref:`how-scoring-works` for more information on how the scores are computed and aggregated.

Example
-------

After finishing the setup (environment) a small-scale serial can be run as follows:

.. code-block:: console

> # setup
> DB_ROOT=./notebooks # path/to/where/you/put/results
> DBID=bo_example_folder
> mkdir $DB_ROOT
> # experiments
> bayesmark-launch -n 15 -r 3 -dir $DB_ROOT -b $DBID -o RandomSearch PySOT -c SVM DT -v
Supply --uuid 3adc3182635e44ea96969d267591f034 to reproduce this run.
Supply --dbid bo_example_folder to append to this experiment or reproduce jobs file.
User must ensure equal reps of each optimizer for unbiased results
-c DT -d boston -o PySOT -u a1b287b450385ad09b2abd7582f404a2 -m mae -n 15 -p 1 -dir /notebooks -b bo_example_folder
-c DT -d boston -o PySOT -u 63746599ae3f5111a96942d930ba1898 -m mse -n 15 -p 1 -dir /notebooks -b bo_example_folder
-c DT -d boston -o RandomSearch -u 8ba16c880ef45b27ba0909199ab7aa8a -m mae -n 15 -p 1 -dir /notebooks -b bo_example_folder
...
0 failures of benchmark script after 144 studies.
done
> # aggregate
> bayesmark-agg -dir $DB_ROOT -b $DBID
> # analyze
> bayesmark-anal -dir $DB_ROOT -b $DBID -v
...
median score @ 15:
optimizer
PySOT_0.2.3_9b766b6 0.330404
RandomSearch_0.0.1_9b766b6 0.961829
mean score @ 15:
optimizer
PySOT_0.2.3_9b766b6 0.124262
RandomSearch_0.0.1_9b766b6 0.256422
normed mean score @ 15:
optimizer
PySOT_0.2.3_9b766b6 0.475775
RandomSearch_0.0.1_9b766b6 0.981787
done

The aggregate result files (i.e., ``summary.json``) will now be available in ``$DB_ROOT/$DBID/derived``. However, this will be high variance since it was from only 3 trials and only to 15 function evaluations.

Plotting and notebooks
----------------------

Plotting the quantitative results found in ``$DB_ROOT/$DBID/derived`` can be done using the notebooks found in the ``notebooks/`` folder of the git repository. The notebook ``plot_mean_score.ipynb`` generates plots for aggregate scores averaging over all problems. The notebook ``plot_test_case.ipynb`` generates plots for each test problem.

To use the notebooks, first copy over the ``notebooks/`` folder from git repository.

To setup the kernel for running the notebooks use:

.. code-block:: bash

virtualenv bobm_ipynb --python=python3.6
source ./bobm_ipynb/bin/activate
pip install bayesmark[notebooks]
python -m ipykernel install --name=bobm_ipynb --user

Now, the notebooks for plotting can be run with the command ``jupyter notebook`` and selecting the kernel ``bobm_ipynb``.

It is also possible to convert the notebooks to an HTML report at the command line using ``nbconvert``. For example, use the command:

.. code-block:: bash

jupyter nbconvert --to html --execute notebooks/plot_mean_score.ipynb

The output file will be in ``./notebooks/plot_mean_score.html``. Here is an example `export `_. See the ``nbconvert`` `documentation page `_ for more output formats. By default, the notebooks look in ``./notebooks/bo_example_folder/`` for the ``summary.json`` from ``bayesmark-anal``.

To run ``plot_test_case.ipynb`` use the command:

.. code-block:: bash

jupyter nbconvert --to html --execute notebooks/plot_test_case.ipynb --ExecutePreprocessor.timeout=600

The ``--ExecutePreprocessor.timeout=600`` timeout increase is needed due to the large number of plots being generated. The output will be in ``./notebooks/plot_test_case.html``.

Adding a new optimizer
======================

All optimizers in this benchmark are required to follow the interface specified of the ``AbstractOptimizer`` class in ``bayesmark.abstract_optimizer``. In general, this requires creating a wrapper class around the new optimizer. The wrapper classes must all be placed in a folder referred to by the ``--opt-root`` argument. This folder must also contain the ``config.json`` folder.

The interface is simple, one must merely implement the ``suggest`` and ``observe`` functions. The ``suggest`` function generates new guesses for evaluating the function. Once evaluated, the function evaluations are passed to the ``observe`` function. The objective function is *not* evaluated by the optimizer class. The objective function is evaluated on outside and results are passed to ``observe``. This is the correct setup for Bayesian optimization because:

* We can observe/try inputs that were never suggested
* We can ignore suggestions
* The objective function may not be something as simple as a Python function

So passing the function as an argument as is done in ``scipy.optimization`` is artificially restrictive.

The implementation of the wrapper will look like the following:

.. code-block:: python

from bayesmark.abstract_optimizer import AbstractOptimizer
from bayesmark.experiment import experiment_main

class NewOptimizerName(AbstractOptimizer):
# Used for determining the version number of package used
primary_import = "name of import used e.g, opentuner"

def __init__(self, api_config, optional_arg_foo=None, optional_arg_bar=None):
"""Build wrapper class to use optimizer in benchmark.

Parameters
----------
api_config : dict-like of dict-like
Configuration of the optimization variables. See API description.
"""
AbstractOptimizer.__init__(self, api_config)
# Do whatever other setup is needed
# ...

def suggest(self, n_suggestions=1):
"""Get suggestion from the optimizer.

Parameters
----------
n_suggestions : int
Desired number of parallel suggestions in the output

Returns
-------
next_guess : list of dict
List of `n_suggestions` suggestions to evaluate the objective
function. Each suggestion is a dictionary where each key
corresponds to a parameter being optimized.
"""
# Do whatever is needed to get the parallel guesses
# ...
return x_guess

def observe(self, X, y):
"""Feed an observation back.

Parameters
----------
X : list of dict-like
Places where the objective function has already been evaluated.
Each suggestion is a dictionary where each key corresponds to a
parameter being optimized.
y : array-like, shape (n,)
Corresponding values where objective has been evaluated
"""
# Update the model with new objective function observations
# ...
# No return statement needed

if __name__ == "__main__":
# This is the entry point for experiments, so pass the class to experiment_main to use this optimizer.
# This statement must be included in the wrapper class file:
experiment_main(NewOptimizerName)

Depending on the API of the optimizer being wrapped, building this wrapper class may only or require a few lines of code, or be a total pain.

The config file
---------------

Note: A config file is now optional. If no ``config.json`` is provided, the experiment launcher will look for all folders with an `optimizer.py` in the ``--opt-root`` directory.

Each optimizer wrapper can have multiple configurations, which is each referred to as a different optimizer in the benchmark. For example, the JSON config file will have entries as follows:

.. code-block:: json

{
"OpenTuner-BanditA-New": [
"opentuner_optimizer.py",
{"techniques": ["AUCBanditMetaTechniqueA"]}
],
"OpenTuner-GA-DE-New": [
"opentuner_optimizer.py",
{"techniques": ["PSO_GA_DE"]}
],
"OpenTuner-GA-New": [
"opentuner_optimizer.py",
{"techniques": ["PSO_GA_Bandit"]}
]
}

Basically, the entries are ``"name_of_strategy": ["file_with_class", {kwargs_for_the_constructor}]``. Here, ``OpenTuner-BanditA``, ``OpenTuner-GA-DE``, and ``OpenTuner-GA`` are all treated as different optimizers by the benchmark even though the all use the same class from ``opentuner_optimizer.py``.

This ``config.json`` must be in the same folder as the optimizer classes (e.g., ``opentuner_optimizer.py``).

Running with a new optimizer
----------------------------

To run the benchmarks using a new optimizer, simply provide its name (from ``config.json``) in the ``-o`` list. The ``--opt-root`` argument must be specified in this case. For example, the launch command from the `example <#example>`_ becomes:

.. code-block:: bash

bayesmark-launch -n 15 -r 3 -dir $DB_ROOT -b $DBID -o RandomSearch PySOT-New -c SVM DT --opt-root ./example_opt_root -v

Here, we are using the example ``PySOT-New`` wrapper from the ``example_opt_root`` folder in the git repo. It is equivalent to the builtin ``PySOT``, but gives an example of how to provide a new custom optimizer.

Contributing
============

The following instructions have been tested with Python 3.6.8 on Ubuntu (16.04.5 LTS).

Install in editable mode
------------------------

First, define the variables for the paths we will use:

.. code-block:: bash

GIT=/path/to/where/you/put/repos
ENVS=/path/to/where/you/put/virtualenvs

Then clone the repo in your git directory ``$GIT``:

.. code-block:: bash

cd $GIT
git clone https://github.com/uber/bayesmark.git

Inside your virtual environments folder ``$ENVS``, make the environment:

.. code-block:: bash

cd $ENVS
virtualenv bayesmark --python=python3.6
source $ENVS/bayesmark/bin/activate

Now we can install the pip dependencies. Move back into your git directory and run

.. code-block:: bash

cd $GIT/bayesmark
pip install -r requirements/base.txt
pip install -r requirements/optimizers.txt
pip install -e . # Install the benchmark itself

You may want to run ``pip install -U pip`` first if you have an old version of ``pip``. The file ``optimizers.txt`` contains the dependencies for all the optimizers used in the benchmark. The analysis and aggregation programs can be run using only the requirements in ``base.txt``.

Contributor tools
-----------------

First, we need to setup some needed tools:

.. code-block:: bash

cd $ENVS
virtualenv bayesmark_tools --python=python3.6
source $ENVS/bayesmark_tools/bin/activate
pip install -r $GIT/bayesmark/requirements/tools.txt

To install the pre-commit hooks for contributing run (in the ``bayesmark_tools`` environment):

.. code-block:: bash

cd $GIT/bayesmark
pre-commit install

To rebuild the requirements, we can run:

.. code-block:: bash

cd $GIT/bayesmark
# Get py files from notebooks to analyze
jupyter nbconvert --to script notebooks/*.ipynb
# Generate the .in files (but pins to latest, which we might not want)
pipreqs bayesmark/ --ignore bayesmark/builtin_opt/ --savepath requirements/base.in
pipreqs test/ --savepath requirements/test.in
pipreqs bayesmark/builtin_opt/ --savepath requirements/optimizers.in
pipreqs notebooks/ --savepath requirements/ipynb.in
pipreqs docs/ --savepath requirements/docs.in
# Regenerate the .txt files from .in files
pip-compile-multi --no-upgrade

Generating the documentation
----------------------------

First setup the environment for building with ``Sphinx``:

.. code-block:: bash

cd $ENVS
virtualenv bayesmark_docs --python=python3.6
source $ENVS/bayesmark_docs/bin/activate
pip install -r $GIT/bayesmark/requirements/docs.txt

Then we can do the build:

.. code-block:: bash

cd $GIT/bayesmark/docs
make all
open _build/html/index.html

Documentation will be available in all formats in ``Makefile``. Use ``make html`` to only generate the HTML documentation.

Running the tests
-----------------

The tests for this package can be run with:

.. code-block:: bash

cd $GIT/bayesmark
./test.sh

The script creates a conda environment using the requirements found in ``requirements/test.txt``.

The ``test.sh`` script *must* be run from a *clean* git repo.

Or if we only want to run the unit tests and not check the adequacy of the requirements files, one can use

.. code-block:: bash

# Setup environment
cd $ENVS
virtualenv bayesmark_test --python=python3.6
source $ENVS/bayesmark_test/bin/activate
pip install -r $GIT/bayesmark/requirements/test.txt
pip install -e $GIT/bayesmark
# Now run tests
cd $GIT/bayesmark/
pytest test/ -s -v --hypothesis-seed=0 --disable-pytest-warnings --cov=bayesmark --cov-report html

A code coverage report will also be produced in ``$GIT/bayesmark/htmlcov/index.html``.

Deployment
----------

The wheel (tar ball) for deployment as a pip installable package can be built using the script:

.. code-block:: bash

cd $GIT/bayesmark/
./build_wheel.sh

Links
=====

The `source `_ is hosted on GitHub.

The `documentation `_ is hosted at Read the Docs.

Installable from `PyPI `_.

The builtin optimizers are wrappers on the following projects:

* `HyperOpt `_
* `Nevergrad `_
* `OpenTuner `_
* `PySOT `_
* `Scikit-optimize `_

License
=======

This project is licensed under the Apache 2 License - see the LICENSE file for details.