def test_bounds_and_initial_points(self):
np.random.seed(13)
bounds = {'x': np.array([[-10., 11.0], [-20.0, 1.0]])}
desvars = {'x': np.array([0., 0.25])}
model_low = simple_2D_low_model(desvars)
model_high = simple_2D_high_model(desvars)
method_instance = BaseMethod(model_low, model_high, bounds, disp=False)
init_points = np.array([[6.33175062, -15.01163438],
[7.30984919, 0.28073316],
[10.42462339, -10.4775658],
[2.78989172, -3.71394319],
[3.47388024, -4.83761718]])
np.testing.assert_allclose(method_instance.design_vectors, init_points)
np.random.seed(13)
method_instance = BaseMethod(model_low,
model_high,
bounds,
disp=False,
num_initial_points=3)
np.testing.assert_allclose(method_instance.design_vectors,
init_points[:3, :])
def test_set_initial_point(self):
np.random.seed(13)
bounds = {'x': np.array([[0.0, 1.0], [0.0, 1.0]])}
desvars = {'x': np.array([0., 0.25])}
model_low = simple_2D_low_model(desvars)
model_high = simple_2D_high_model(desvars)
trust_region = BaseMethod(model_low, model_high, bounds, disp=False)
trust_region.add_objective('y')
trust_region.set_initial_point([0.5, 0.5])
np.testing.assert_allclose(trust_region.design_vectors[-1, :],
[0.5, 0.5])
def test_optimization(self):
np.random.seed(13)
bounds = {'x' : np.array([[0.0, 1.0], [0.0, 1.0]])}
desvars = {'x' : np.array([0., 0.25])}
model_low = simple_2D_low_model(desvars)
model_high = simple_2D_high_model(desvars)
trust_region = SimpleTrustRegion(model_low, model_high, bounds, disp=False)
trust_region.add_objective('y')
results = trust_region.optimize()
np.testing.assert_allclose(results['optimal_design'], [0., 0.333], atol=1e-3)
def test_approximation(self):
np.random.seed(13)
bounds = {'x': np.array([[0.0, 1.0], [0.0, 1.0]])}
desvars = {'x': np.array([0., 0.25])}
model_low = simple_2D_low_model(desvars)
model_high = simple_2D_high_model(desvars)
method_instance = BaseMethod(model_low, model_high, bounds, disp=False)
method_instance.add_objective('y')
method_instance.construct_approximations()
func = method_instance.approximation_functions['y']
flattened_desvars = model_low.flatten_desvars(desvars)
np.testing.assert_allclose(func(flattened_desvars), -5.33064616)
def test_constrained_optimization(self):
np.random.seed(13)
bounds = {"x": np.array([[0.0, 1.0], [0.0, 1.0]])}
desvars = {"x": np.array([0.0, 0.25])}
model_low = simple_2D_low_model(desvars)
model_high = simple_2D_high_model(desvars)
trust_region = SimpleTrustRegion(model_low,
model_high,
bounds,
num_initial_points=10,
disp=False)
trust_region.add_objective("y")
trust_region.add_constraint("con", equals=0.0)
results = trust_region.optimize(plot=False, num_iterations=10)
np.testing.assert_allclose(results["optimal_design"], [0.0, 0.10987],
atol=1e-3)
np.testing.assert_allclose(results["outputs"]["con"], 0.0, atol=1e-5)
import numpy as np
from weis.multifidelity.models.testbed_components import simple_2D_high_model, simple_2D_low_model
from weis.multifidelity.methods.trust_region import SimpleTrustRegion
# Following Algo 2.1 from Andrew March's dissertation
np.random.seed(13)
bounds = {'x': np.array([[0.0, 1.0], [0.0, 1.0]])}
desvars = {'x': np.array([0., 0.25])}
model_low = simple_2D_low_model(desvars)
model_high = simple_2D_high_model(desvars)
trust_region = SimpleTrustRegion(model_low, model_high, bounds)
trust_region.add_objective('y')
trust_region.set_initial_point(desvars['x'])
trust_region.optimize()
n_dims = 2
num_initial_points = 4
x_init = np.random.rand(num_initial_points, n_dims)
x = x_init.copy()
print()
print(x_init)
list_of_desvars = []
for i in range(num_initial_points):
desvars = OrderedDict()
desvars['x'] = x[i, :]
list_of_desvars.append(desvars)
low = simple_2D_low_model(desvars, 'low_2D_results.pkl')
high = simple_2D_high_model(desvars, 'high_2D_results.pkl')
lofi_function = low.run_vec
hifi_function = high.run_vec
for i in range(21):
y_low = lofi_function(list_of_desvars)
y_high = hifi_function(list_of_desvars)
# Construct RBF interpolater for error function
differences = y_high - y_low
input_arrays = np.split(x, x.shape[1], axis=1)
input_arrays = [x.flatten() for x in input_arrays]