def test_gumbel_samples_are_minima() -> None:
search_space = Box([0, 0], [1, 1])
x_range = tf.linspace(0.0, 1.0, 5)
x_range = tf.cast(x_range, dtype=tf.float64)
xs = tf.reshape(tf.stack(tf.meshgrid(x_range, x_range, indexing="ij"), axis=-1), (-1, 2))
ys = quadratic(xs)
dataset = Dataset(xs, ys)
model = QuadraticMeanAndRBFKernel()
gumbel_sampler = GumbelSampler(5, model)
query_points = search_space.sample(100)
query_points = tf.concat([dataset.query_points, query_points], 0)
gumbel_samples = gumbel_sampler.sample(query_points)
fmean, _ = model.predict(dataset.query_points)
assert max(gumbel_samples) < min(fmean)
def test_rff_thompson_samples_are_minima() -> None:
search_space = Box([0.0, 0.0], [1.0, 1.0])
model = QuadraticMeanAndRBFKernel(noise_variance=tf.constant(1e-5, dtype=tf.float64))
model.kernel = (
gpflow.kernels.RBF()
) # need a gpflow kernel object for random feature decompositions
x_range = tf.linspace(0.0, 1.0, 5)
x_range = tf.cast(x_range, dtype=tf.float64)
xs = tf.reshape(tf.stack(tf.meshgrid(x_range, x_range, indexing="ij"), axis=-1), (-1, 2))
ys = quadratic(xs)
dataset = Dataset(xs, ys)
sampler = RandomFourierFeatureThompsonSampler(
1, model, dataset, num_features=100, sample_min_value=True
)
query_points = search_space.sample(100)
query_points = tf.concat([dataset.query_points, query_points], 0)
thompson_samples = sampler.sample(query_points)
fmean, _ = model.predict(dataset.query_points)
assert max(thompson_samples) < min(fmean)
