diff --git a/ProcessOptimizer/tests/test_utils.py b/ProcessOptimizer/tests/test_utils.py index acfcfccd..457d883b 100644 --- a/ProcessOptimizer/tests/test_utils.py +++ b/ProcessOptimizer/tests/test_utils.py @@ -1,6 +1,7 @@ from re import M import pytest import tempfile +import warnings from numpy.testing import assert_array_equal from numpy.testing import assert_equal @@ -10,6 +11,7 @@ from ProcessOptimizer import load from ProcessOptimizer import dump from ProcessOptimizer import expected_minimum +from ProcessOptimizer import Optimizer from ProcessOptimizer.model_systems.benchmarks import bench1 from ProcessOptimizer.model_systems.benchmarks import bench3 from ProcessOptimizer.learning import ( @@ -26,7 +28,7 @@ dimensions_aslist, ) from ProcessOptimizer.space import normalize_dimensions -from ProcessOptimizer.space.constraints import SumEquals +from ProcessOptimizer.space.constraints import Single, SumEquals def check_optimization_results_equality(res_1, res_2): @@ -132,6 +134,22 @@ def test_expected_minimum_min(): assert f_min == f_min2 +@pytest.mark.fast_test +def test_expected_minimum_other_constraint(): + opt = Optimizer([[0, 1], [0, 1]], n_initial_points=2) + opt.tell([0, 0], 1) + opt.tell([1, 1], 0) + opt.set_constraints([Single(1, 1, "integer")]) + res = opt.get_result() + # Note that this test is not thread-safe If it starts failing intermittenetly, it may + # be due to some other running in parallel raising a warning. This can be fixed by + # mocking the warnings module, but as we don't have separate test requirements, we + # don't want to add a dependency on the mock module. + with warnings.catch_warnings(record=True) as w: + expected_minimum(res, random_state=1) + assert len(w) == 1 + + @pytest.mark.fast_test def test_expected_minimum_max(): res = gp_minimize( diff --git a/ProcessOptimizer/utils/utils.py b/ProcessOptimizer/utils/utils.py index 66d38618..44ec322e 100644 --- a/ProcessOptimizer/utils/utils.py +++ b/ProcessOptimizer/utils/utils.py @@ -273,17 +273,19 @@ def func(x): xs = [res.x] if n_random_starts > 0: - if hasattr(res.constraints, "sum_equals"): - # If we have a SumEquals constraint, create samples that respect it - xs = [] - xs.extend( - res.constraints.sumequal_sampling( - n_samples=n_random_starts, random_state=random_state - ) - ) + if res.constraints: + if len(res.constraints.sum_equals) > 0: + # If we have a SumEquals constraint, create samples that respect it + xs = [] + xs.extend( + res.constraints.sumequal_sampling( + n_samples=n_random_starts, random_state=random_state + ) + ) + else: + warn("Optimizer has constraints which expected_minimum() does not necessarily respect.") + else: - if res.constraints: - warn.warning("Optimizer has constraints which expected_minimum() does not necessarily respect.") # For all other cases (and constraints) we use random sampling xs.extend(res.space.rvs(n_random_starts, random_state=random_state)) xs = res.space.transform(xs) @@ -293,7 +295,7 @@ def func(x): cons = None # Prepare a linear constraint, if applicable - if hasattr(res.constraints, "sum_equals"): + if res.constraints and len(res.constraints.sum_equals) > 0: A = np.zeros((1, res.space.transformed_n_dims)) value = res.constraints.sum_equals[0].value for dim in res.constraints.sum_equals[0].dimensions: diff --git a/README.md b/README.md index 89b81b85..ada5f702 100644 --- a/README.md +++ b/README.md @@ -64,14 +64,18 @@ Below is an image of the Booth function. Suppose you are given the task of minimizing the function on the domain only using empirical observations and without any analytical function.
Working with the ProcessOptimizer package you simply define the `Space` and create an `Optimizer` object.
-The `Space` object takes a list of dimensions which can either be `Real`, `Integer` or `Categorical`. `Real` dimensions are defined by the maximum and minimum values.
-The `Optimizer` object initialized below uses GP (Gaussian Process). This means that after each step a Gaussian Process is fitted to the observations, which is used as a posterior distribution. Combined with an acquisition function the next point that should be explored can be determined. Notice that this process only takes place once n_initial_points of initial data has been aqcuired. In this case `LHS = True` (latin hypercube sampling) has been used as the initial sampling strategy for the first 6 points. +The `Space` object takes a list of dimensions which can either be `Real`, `Integer` or `Categorical`. `Real` dimensions are defined by the maximum and minimum values. Another way to initialize a `Real` dimension is to pass a list of two `float`s to the `Space` constructor.
```python import ProcessOptimizer as po -SPACE = po.Space([Real(0,5), Real(0,5)]) - -opt = po.Optimizer(SPACE, base_estimator = "GP", n_initial_points = 6, lhs = True) +SPACE = po.Space([[0.0, 5.0], [0.0, 5.0]]) +print(SPACE) +>>>Space([Real(low=0.0, high=5.0, prior='uniform', transform='identity'), + Real(low=0.0, high=5.0, prior='uniform', transform='identity')]) +``` +The `Optimizer` object initialized below uses `"GP"` (Gaussian Process). This means that after each step a Gaussian Process is fitted to the observations, which is used as a posterior distribution. Combined with an acquisition function the next point that should be explored can be determined. Notice that this process only takes place once n_initial_points of initial data has been aqcuired. +```python +opt = po.Optimizer(SPACE, base_estimator = "GP", n_initial_points = 6) ``` The optimizer can now be used in steps by calling the `.ask()` function, evaluating the function at the given point and use `.tell()` the `Optimizer` the result. In practise it would work like this. First ask the optimizer for the next point to perform an experiment: ```python diff --git a/examples/Length scale bounds.ipynb b/examples/Length scale bounds.ipynb index 8125cf30..735c47b5 100644 --- a/examples/Length scale bounds.ipynb +++ b/examples/Length scale bounds.ipynb @@ -6,7 +6,8 @@ "source": [ "# Length scale bounds\n", "\n", - "Sigurd Carlen, September 2019." + "Sigurd Carlsen, September 2019.\n", + "Søren Bertelsen, (minor changes) December 2024." ] }, { @@ -37,7 +38,7 @@ { "data": { "text/plain": [ - "
" + "
" ] }, "metadata": {}, @@ -46,12 +47,11 @@ ], "source": [ "import numpy as np\n", - "np.random.seed(1)\n", "\n", "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "plt.set_cmap(\"viridis\")\n", - "from ProcessOptimizer.learning import ExtraTreesRegressor\n", + "\n", "from ProcessOptimizer import Optimizer" ] }, @@ -70,7 +70,7 @@ "metadata": {}, "outputs": [], "source": [ - "opt = Optimizer([(-2.0, 2.0)], \"GP\", n_initial_points = 5, acq_optimizer=\"sampling\",acq_optimizer_kwargs=acq_optimizer_kwargs)" + "opt = Optimizer([(-2.0, 2.0)], \"GP\", n_initial_points = 5, lhs=False, acq_optimizer=\"sampling\",acq_optimizer_kwargs=acq_optimizer_kwargs, random_state=42)" ] }, { @@ -147,14 +147,12 @@ "outputs": [ { "data": { - "image/png": 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\n", 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", "text/plain": [ - "
" + "
" ] }, - "metadata": { - "needs_background": "light" - }, + "metadata": {}, "output_type": "display_data" } ], @@ -188,7 +186,7 @@ "metadata": {}, "outputs": [], "source": [ - "opt = Optimizer([(-2.0, 2.0)], \"GP\", n_initial_points = 5, acq_optimizer=\"sampling\",acq_optimizer_kwargs=acq_optimizer_kwargs)" + "opt = Optimizer([(-2.0, 2.0)], \"GP\", n_initial_points = 5, lhs=False, acq_optimizer=\"sampling\",acq_optimizer_kwargs=acq_optimizer_kwargs, random_state=42)" ] }, { @@ -198,14 +196,12 @@ "outputs": [ { "data": { - "image/png": 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\n", 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", 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" ] }, - "metadata": { - "needs_background": "light" - }, + "metadata": {}, "output_type": "display_data" } ], @@ -217,6 +213,13 @@ " \n", "plot_optimizer(opt, x, fx)" ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] } ], "metadata": {