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Heteroscedastic evolutionary bayesian optimisation

Project description

pip install HEBO


Bayesian optimsation library developped by Huawei Noahs Ark Decision Making and Reasoning (DMnR) lab. The winning submission to the NeurIPS 2020 Black-Box Optimisation Challenge.

Summary Ablation
Results Results


Alexander I. Cowen-Rivers, Wenlong Lyu, Rasul Tutunov, Zhi Wang, Antoine Grosnit, Ryan Rhys Griffiths, Alexandre Max Maraval, Hao Jianye, Jun Wang, Jan Peters, Haitham Bou Ammar


python develop


Online documentation can be seen here


import pandas as pd
import numpy  as np
from hebo.design_space.design_space import DesignSpace
from hebo.optimizers.hebo import HEBO

def obj(params : pd.DataFrame) -> np.ndarray:
    return ((params.values - 0.37)**2).sum(axis = 1).reshape(-1, 1)
space = DesignSpace().parse([{'name' : 'x', 'type' : 'num', 'lb' : -3, 'ub' : 3}])
opt   = HEBO(space)
for i in range(5):
    rec = opt.suggest(n_suggestions = 4)
    opt.observe(rec, obj(rec))
    print('After %d iterations, best obj is %.2f' % (i, opt.y.min()))

Auto Tuning via Sklearn Estimator

from sklearn.datasets import load_boston
from sklearn.ensemble import RandomForestRegressor
from sklearn.metrics import r2_score, mean_squared_error

from hebo.sklearn_tuner import sklearn_tuner

space_cfg = [
    {'name' : 'max_depth', 'type' : 'int', 'lb' : 1, 'ub' : 20},
    {'name' : 'min_samples_leaf', 'type' : 'num', 'lb' : 1e-4, 'ub' : 0.5},
    {'name' : 'max_features', 'type' : 'cat', 'categories' : ['auto', 'sqrt', 'log2']},
    {'name' : 'bootstrap', 'type' : 'bool'},
    {'name' : 'min_impurity_decrease', 'type' : 'pow', 'lb' : 1e-4, 'ub' : 1.0},
X, y   = load_boston(return_X_y = True)
result = sklearn_tuner(RandomForestRegressor, space_cfg, X, y, metric = r2_score, max_iter = 16)


cd doc
make html

You can view the compiled documentation in doc/build/html/index.html.


pytest -v test/ --cov ./bo --cov-report term-missing --cov-config ./test/.coveragerc

Reproduce Experimental Results

  • See archived_submissions/hebo, which is the exact submission that won the NeurIPS2020 Black-Box Optimsation Challenge.
  • Use in bbo_challenge_starter_kit to reproduce bayesmark experiments, you can just drop archived_submissions/hebo to the example_submissions directory.
  • The MACEBO in bo.optimizers.mace is the same optimiser, with same hyperparameters but a modified interface (bayesmark dependency removed).


  • Continuous, integer and categorical design parameters.
  • Constrained and multi-objective optimsation.
  • Contextual optimsation.
  • Multiple surrogate models including GP, RF and BNN.
  • Modular and flexible Bayesian Optimisation building blocks.

Cite Us

Cowen-Rivers, Alexander I., et al. "An Empirical Study of Assumptions in Bayesian Optimisation." arXiv preprint arXiv:2012.03826 (2021).


  title={An Empirical Study of Assumptions in Bayesian Optimisation},
  author={Cowen-Rivers, Alexander I and Lyu, Wenlong and Tutunov, Rasul and Wang, Zhi and Grosnit, Antoine and Griffiths, Ryan Rhys and Jianye, Hao and Wang, Jun and Ammar, Haitham Bou},
  journal={arXiv preprint arXiv:2012.03826},

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