def test_sampling_theta(self):
nclasses, nannotators, nitems = 3, 5, 5000
nsamples = 1000
# create random model (this is our ground truth model)
true_model = ModelBt.create_initial_state(nclasses, nannotators)
# create random data
annotations = true_model.generate_annotations(nitems)
# create a new model
model = ModelBt.create_initial_state(nclasses, nannotators)
# get optimal parameters (to make sure we're at the optimum)
model.map(annotations)
# modify parameters, to give false start to sampler
real_theta = model.theta.copy()
model.theta = model._random_theta(model.nannotators)
# save current parameters
gamma_before, theta_before = model.gamma.copy(), model.theta.copy()
samples = model.sample_posterior_over_accuracy(
annotations,
nsamples,
burn_in_samples=100,
thin_samples=2
)
# test: the mean of the sampled parameters is the same as the MLE one
# (up to 3 standard deviations of the estimate sample distribution)
testing.assert_array_less(np.absolute(samples.mean(0)-real_theta),
3.*samples.std(0))
# check that original parameters are intact
testing.assert_equal(model.gamma, gamma_before)
testing.assert_equal(model.theta, theta_before)
def test_log_likelihood(self):
# check that log likelihood is maximal at true parameters
nclasses, nannotators, nitems = 3, 5, 1000
# create random model and data (this is our ground truth model)
true_model = ModelBt.create_initial_state(nclasses, nannotators)
annotations = true_model.generate_annotations(nitems)
max_llhood = true_model.log_likelihood(annotations)
# perturb gamma
for _ in xrange(20):
theta = true_model.theta
gamma = np.random.normal(loc=true_model.gamma, scale=0.1)
gamma = np.clip(gamma, 0., 1.)
gamma /= gamma.sum()
model = ModelBt(nclasses, nannotators, gamma, theta)
llhood = model.log_likelihood(annotations)
self.assertGreater(max_llhood, llhood)
# perturb theta
for _ in xrange(20):
gamma = true_model.gamma
theta = np.random.normal(loc=true_model.theta, scale=0.1)
theta = np.clip(theta, 0., 1.)
model = ModelBt(nclasses, nannotators, gamma, theta)
llhood = model.log_likelihood(annotations)
self.assertGreater(max_llhood, llhood)
def test_missing_annotations(self):
# test simple model, check that we get to global optimum
nclasses, nannotators, nitems = 2, 3, 10000
# create random model and data (this is our ground truth model)
true_model = ModelBt.create_initial_state(nclasses, nannotators)
annotations = true_model.generate_annotations(nitems)
# remove about 10% of the annotations
for _ in range(nitems * nannotators // 10):
i = np.random.randint(nitems)
j = np.random.randint(nannotators)
annotations[i, j] = MV
# create a new, empty model and infer back the parameters
model = ModelBt.create_initial_state(nclasses, nannotators)
before_llhood = (model.log_likelihood(annotations) +
model._log_prior(model.theta))
model.map(annotations)
after_llhood = (model.log_likelihood(annotations) +
model._log_prior(model.theta))
testing.assert_allclose(model.gamma,
true_model.gamma,
atol=1e-1,
rtol=0.)
testing.assert_allclose(model.theta,
true_model.theta,
atol=1e-1,
rtol=0.)
self.assertGreater(after_llhood, before_llhood)
def test_missing_annotations(self):
# test simple model, check that we get to global optimum
nclasses, nannotators, nitems = 2, 3, 10000
# create random model and data (this is our ground truth model)
true_model = ModelBt.create_initial_state(nclasses, nannotators)
annotations = true_model.generate_annotations(nitems)
# remove about 10% of the annotations
for _ in range(nitems*nannotators//10):
i = np.random.randint(nitems)
j = np.random.randint(nannotators)
annotations[i,j] = MV
# create a new, empty model and infer back the parameters
model = ModelBt.create_initial_state(nclasses, nannotators)
before_llhood = (model.log_likelihood(annotations)
+ model._log_prior(model.theta))
model.map(annotations)
after_llhood = (model.log_likelihood(annotations)
+ model._log_prior(model.theta))
testing.assert_allclose(model.gamma, true_model.gamma,
atol=1e-1, rtol=0.)
testing.assert_allclose(model.theta, true_model.theta,
atol=1e-1, rtol=0.)
self.assertGreater(after_llhood, before_llhood)
def test_sampling_theta(self):
nclasses, nannotators, nitems = 3, 5, 5000
nsamples = 1000
# create random model (this is our ground truth model)
true_model = ModelBt.create_initial_state(nclasses, nannotators)
# create random data
annotations = true_model.generate_annotations(nitems)
# create a new model
model = ModelBt.create_initial_state(nclasses, nannotators)
# get optimal parameters (to make sure we're at the optimum)
model.map(annotations)
# modify parameters, to give false start to sampler
real_theta = model.theta.copy()
model.theta = model._random_theta(model.nannotators)
# save current parameters
gamma_before, theta_before = model.gamma.copy(), model.theta.copy()
samples = model.sample_posterior_over_accuracy(annotations,
nsamples,
burn_in_samples=100,
thin_samples=2)
# test: the mean of the sampled parameters is the same as the MLE one
# (up to 3 standard deviations of the estimate sample distribution)
testing.assert_array_less(np.absolute(samples.mean(0) - real_theta),
3. * samples.std(0))
# check that original parameters are intact
testing.assert_equal(model.gamma, gamma_before)
testing.assert_equal(model.theta, theta_before)
def test_inference(self):
# perfect annotation, check that inferred label is correct
nclasses, nannotators, nitems = 3, 5, 50 * 8
# create random model (this is our ground truth model)
gamma = np.ones((nclasses, )) / float(nclasses)
theta = np.ones((8, )) * 0.999
true_model = ModelBt(nclasses, nannotators, gamma, theta)
# create random data
labels = true_model.generate_labels(nitems)
annotations = true_model.generate_annotations_from_labels(labels)
posterior = true_model.infer_labels(annotations)
testing.assert_allclose(posterior.sum(1), 1., atol=1e-6, rtol=0.)
inferred = posterior.argmax(1)
testing.assert_equal(inferred, labels)
self.assertTrue(np.all(posterior[np.arange(nitems), inferred] > 0.999))
# at chance annotation, disagreeing annotators: get back prior
gamma = ModelBt._random_gamma(nclasses)
theta = np.ones((nannotators, )) / float(nclasses)
model = ModelBt(nclasses, nannotators, gamma, theta)
data = np.array([[MV, 0, 1, 2, MV]])
testing.assert_almost_equal(np.squeeze(model.infer_labels(data)),
model.gamma, 6)
def test_log_likelihood_loop_design(self):
# behavior: the log likelihood of the new class should match the one
# of the more specialized class
nclasses, nannotators, nitems = 4, 8, 100
# create specialized model, draw data
true_model = ModelBtLoopDesign.create_initial_state(nclasses)
annotations = true_model.generate_annotations(nitems)
expect = true_model.log_likelihood(annotations)
model = ModelBt(nclasses, nannotators,
gamma=true_model.gamma, theta=true_model.theta)
llhood = model.log_likelihood(annotations)
np.testing.assert_almost_equal(llhood, expect, 10)
def test_create_model(self):
nclasses = 8
nannotators = 32
model = ModelBt.create_initial_state(nclasses, nannotators)
self.assertEqual(model.nannotators, nannotators)
self.assertEqual(model.gamma.shape[0], nclasses)
self.assertEqual(model.theta.shape[0], nannotators)
def test_create_model(self):
nclasses = 8
nannotators = 32
model = ModelBt.create_initial_state(nclasses, nannotators)
self.assertEqual(model.nannotators, nannotators)
self.assertEqual(model.gamma.shape[0], nclasses)
self.assertEqual(model.theta.shape[0], nannotators)
def test_log_likelihood_loop_design(self):
# behavior: the log likelihood of the new class should match the one
# of the more specialized class
nclasses, nannotators, nitems = 4, 8, 100
# create specialized model, draw data
true_model = ModelBtLoopDesign.create_initial_state(nclasses)
annotations = true_model.generate_annotations(nitems)
expect = true_model.log_likelihood(annotations)
model = ModelBt(nclasses,
nannotators,
gamma=true_model.gamma,
theta=true_model.theta)
llhood = model.log_likelihood(annotations)
np.testing.assert_almost_equal(llhood, expect, 10)
def test_inference(self):
# perfect annotation, check that inferred label is correct
nclasses, nannotators, nitems = 3, 5, 50*8
# create random model (this is our ground truth model)
gamma = np.ones((nclasses,)) / float(nclasses)
theta = np.ones((8,)) * 0.999
true_model = ModelBt(nclasses, nannotators, gamma, theta)
# create random data
labels = true_model.generate_labels(nitems)
annotations = true_model.generate_annotations_from_labels(labels)
posterior = true_model.infer_labels(annotations)
testing.assert_allclose(posterior.sum(1), 1., atol=1e-6, rtol=0.)
inferred = posterior.argmax(1)
testing.assert_equal(inferred, labels)
self.assertTrue(np.all(posterior[np.arange(nitems),inferred] > 0.999))
# at chance annotation, disagreeing annotators: get back prior
gamma = ModelBt._random_gamma(nclasses)
theta = np.ones((nannotators,)) / float(nclasses)
model = ModelBt(nclasses, nannotators, gamma, theta)
data = np.array([[MV, 0, 1, 2, MV]])
testing.assert_almost_equal(np.squeeze(model.infer_labels(data)),
model.gamma, 6)
def test_log_likelihood(self):
# check that log likelihood is maximal at true parameters
nclasses, nannotators, nitems = 3, 5, 1000
# create random model and data (this is our ground truth model)
true_model = ModelBt.create_initial_state(nclasses, nannotators)
annotations = true_model.generate_annotations(nitems)
max_llhood = true_model.log_likelihood(annotations)
# perturb gamma
for _ in range(20):
theta = true_model.theta
gamma = np.random.normal(loc=true_model.gamma, scale=0.1)
gamma = np.clip(gamma, 0., 1.)
gamma /= gamma.sum()
model = ModelBt(nclasses, nannotators, gamma, theta)
llhood = model.log_likelihood(annotations)
self.assertGreater(max_llhood, llhood)
# perturb theta
for _ in range(20):
gamma = true_model.gamma
theta = np.random.normal(loc=true_model.theta, scale=0.1)
theta = np.clip(theta, 0., 1.)
model = ModelBt(nclasses, nannotators, gamma, theta)
llhood = model.log_likelihood(annotations)
self.assertGreater(max_llhood, llhood)
def test_map_estimation(self):
# test simple model, check that we get to global optimum
nclasses, nannotators, nitems = 3, 5, 5000
# create random model and data (this is our ground truth model)
true_model = ModelBt.create_initial_state(nclasses, nannotators)
annotations = true_model.generate_annotations(nitems)
# create a new, empty model and infer back the parameters
model = ModelBt.create_initial_state(nclasses, nannotators)
before_obj = model.log_likelihood(annotations) + model._log_prior()
model.map(annotations)
after_obj = model.log_likelihood(annotations) + model._log_prior()
testing.assert_allclose(model.gamma, true_model.gamma,
atol=0.05, rtol=0.)
testing.assert_allclose(model.theta, true_model.theta,
atol=0.05, rtol=0.)
self.assertGreater(after_obj, before_obj)
def test_map_estimation(self):
# test simple model, check that we get to global optimum
nclasses, nannotators, nitems = 3, 5, 5000
# create random model and data (this is our ground truth model)
true_model = ModelBt.create_initial_state(nclasses, nannotators)
annotations = true_model.generate_annotations(nitems)
# create a new, empty model and infer back the parameters
model = ModelBt.create_initial_state(nclasses, nannotators)
before_obj = model.log_likelihood(annotations) + model._log_prior()
model.map(annotations)
after_obj = model.log_likelihood(annotations) + model._log_prior()
testing.assert_allclose(model.gamma,
true_model.gamma,
atol=0.05,
rtol=0.)
testing.assert_allclose(model.theta,
true_model.theta,
atol=0.05,
rtol=0.)
self.assertGreater(after_obj, before_obj)
def test_annotations_compatibility(self):
nclasses = 3
nannotators = 5
model = ModelBt.create_initial_state(nclasses, nannotators)
# test method that checks annotations compatibility
anno = np.array([[0, 1, MV, MV, MV]])
self.assertTrue(model.are_annotations_compatible(anno))
anno = np.array([[0, 0, 0, 0]])
self.assertFalse(model.are_annotations_compatible(anno))
anno = np.array([[4, 0, 0, 0, 0]])
self.assertFalse(model.are_annotations_compatible(anno))
anno = np.array([[-2, MV, MV, MV, MV]])
self.assertFalse(model.are_annotations_compatible(anno))
def test_annotations_compatibility(self):
nclasses = 3
nannotators = 5
model = ModelBt.create_initial_state(nclasses, nannotators)
# test method that checks annotations compatibility
anno = np.array([[0, 1, MV, MV, MV]])
self.assertTrue(model.are_annotations_compatible(anno))
anno = np.array([[0, 0, 0, 0]])
self.assertFalse(model.are_annotations_compatible(anno))
anno = np.array([[4, 0, 0, 0, 0]])
self.assertFalse(model.are_annotations_compatible(anno))
anno = np.array([[-2, MV, MV, MV, MV]])
self.assertFalse(model.are_annotations_compatible(anno))
def test_generate_annotations(self):
# test to check that annotations are masked correctly when the number
# of items is not divisible by the number of annotators
nclasses, nannotators, nitems = 5, 7, 201
model = ModelBt.create_initial_state(nclasses, nannotators)
annotations = model.generate_annotations(nitems)
valid = is_valid(annotations)
self.assertEqual(annotations.shape, (nitems, nannotators))
model.are_annotations_compatible(annotations)
# perfect annotators, annotations correspond to prior
nitems = 20000
model.theta[:] = 1.
annotations = model.generate_annotations(nitems)
freq = labels_frequency(annotations, nclasses)
np.testing.assert_almost_equal(freq, model.gamma, 2)
def test_generate_annotations(self):
# test to check that annotations are masked correctly when the number
# of items is not divisible by the number of annotators
nclasses, nannotators, nitems = 5, 7, 201
model = ModelBt.create_initial_state(nclasses, nannotators)
annotations = model.generate_annotations(nitems)
valid = is_valid(annotations)
self.assertEqual(annotations.shape, (nitems, nannotators))
model.are_annotations_compatible(annotations)
# perfect annotators, annotations correspond to prior
nitems = 20000
model.theta[:] = 1.
annotations = model.generate_annotations(nitems)
freq = labels_frequency(annotations, nclasses)
np.testing.assert_almost_equal(freq, model.gamma, 2)
def test_raise_error_on_incompatible_annotation(self):
nclasses, nannotators = 3, 7
model = ModelBt.create_initial_state(nclasses, nannotators)
anno = np.array([[MV, MV, 0, 0, 7, MV, MV]])
with self.assertRaises(PyannoValueError):
model.mle(anno)
with self.assertRaises(PyannoValueError):
model.map(anno)
with self.assertRaises(PyannoValueError):
model.sample_posterior_over_accuracy(anno, 10)
with self.assertRaises(PyannoValueError):
model.infer_labels(anno)
with self.assertRaises(PyannoValueError):
model.log_likelihood(anno)
def test_raise_error_on_incompatible_annotation(self):
nclasses, nannotators = 3, 7
model = ModelBt.create_initial_state(nclasses, nannotators)
anno = np.array([[MV, MV, 0, 0, 7, MV, MV]])
with self.assertRaises(PyannoValueError):
model.mle(anno)
with self.assertRaises(PyannoValueError):
model.map(anno)
with self.assertRaises(PyannoValueError):
model.sample_posterior_over_accuracy(anno, 10)
with self.assertRaises(PyannoValueError):
model.infer_labels(anno)
with self.assertRaises(PyannoValueError):
model.log_likelihood(anno)
