def test_continuous_y():
for inference_method in get_installed(["lp", "ad3"]):
X, Y = generate_blocks(n_samples=1)
x, y = X[0], Y[0]
w = np.array([1, 0, 0, 1, 0, -4, 0]) # unary # pairwise
crf = GridCRF(inference_method=inference_method)
crf.initialize(X, Y)
joint_feature = crf.joint_feature(x, y)
y_cont = np.zeros_like(x)
gx, gy = np.indices(x.shape[:-1])
y_cont[gx, gy, y] = 1
# need to generate edge marginals
vert = np.dot(y_cont[1:, :, :].reshape(-1, 2).T, y_cont[:-1, :, :].reshape(-1, 2))
# horizontal edges
horz = np.dot(y_cont[:, 1:, :].reshape(-1, 2).T, y_cont[:, :-1, :].reshape(-1, 2))
pw = vert + horz
joint_feature_cont = crf.joint_feature(x, (y_cont, pw))
assert_array_almost_equal(joint_feature, joint_feature_cont)
const = find_constraint(crf, x, y, w, relaxed=False)
const_cont = find_constraint(crf, x, y, w, relaxed=True)
# djoint_feature and loss are equal:
assert_array_almost_equal(const[1], const_cont[1], 4)
assert_almost_equal(const[2], const_cont[2], 4)
# returned y_hat is one-hot version of other
if isinstance(const_cont[0], tuple):
assert_array_equal(const[0], np.argmax(const_cont[0][0], axis=-1))
# test loss:
assert_almost_equal(crf.loss(y, const[0]), crf.continuous_loss(y, const_cont[0][0]), 4)
def test_continuous_y():
for inference_method in get_installed(["lp", "ad3"]):
X, Y = generate_blocks(n_samples=1)
x, y = X[0], Y[0]
w = np.array([
1,
0, # unary
0,
1,
0, # pairwise
-4,
0
])
crf = GridCRF(inference_method=inference_method)
crf.initialize(X, Y)
joint_feature = crf.joint_feature(x, y)
y_cont = np.zeros_like(x)
gx, gy = np.indices(x.shape[:-1])
y_cont[gx, gy, y] = 1
# need to generate edge marginals
vert = np.dot(y_cont[1:, :, :].reshape(-1, 2).T,
y_cont[:-1, :, :].reshape(-1, 2))
# horizontal edges
horz = np.dot(y_cont[:, 1:, :].reshape(-1, 2).T,
y_cont[:, :-1, :].reshape(-1, 2))
pw = vert + horz
joint_feature_cont = crf.joint_feature(x, (y_cont, pw))
assert_array_almost_equal(joint_feature, joint_feature_cont)
const = find_constraint(crf, x, y, w, relaxed=False)
const_cont = find_constraint(crf, x, y, w, relaxed=True)
# djoint_feature and loss are equal:
assert_array_almost_equal(const[1], const_cont[1], 4)
assert_almost_equal(const[2], const_cont[2], 4)
# returned y_hat is one-hot version of other
if isinstance(const_cont[0], tuple):
assert_array_equal(const[0], np.argmax(const_cont[0][0], axis=-1))
# test loss:
assert_almost_equal(crf.loss(y, const[0]),
crf.continuous_loss(y, const_cont[0][0]), 4)
def test_loss_augmentation():
X, Y = generate_blocks(n_samples=1)
x, y = X[0], Y[0]
w = np.array([1, 0, 0, 1, 0, -4, 0]) # unary # pairwise
crf = GridCRF()
crf.initialize(X, Y)
y_hat, energy = crf.loss_augmented_inference(x, y, w, return_energy=True)
assert_almost_equal(energy + crf.loss(y, y_hat), -np.dot(w, crf.joint_feature(x, y_hat)))
def test_energy_lp():
# make sure that energy as computed by ssvm is the same as by lp
np.random.seed(0)
found_fractional = False
for inference_method in get_installed(["lp", "ad3"]):
crf = GridCRF(n_states=3, n_features=4, inference_method=inference_method)
while not found_fractional:
x = np.random.normal(size=(2, 2, 4))
w = np.random.uniform(size=crf.size_joint_feature)
inf_res, energy_lp = crf.inference(x, w, relaxed=True, return_energy=True)
assert_almost_equal(energy_lp, -np.dot(w, crf.joint_feature(x, inf_res)))
found_fractional = np.any(np.max(inf_res[0], axis=-1) != 1)
def test_loss_augmentation():
X, Y = generate_blocks(n_samples=1)
x, y = X[0], Y[0]
w = np.array([1, 0, # unary
0, 1,
0, # pairwise
-4, 0])
crf = GridCRF()
crf.initialize(X, Y)
y_hat, energy = crf.loss_augmented_inference(x, y, w, return_energy=True)
assert_almost_equal(energy + crf.loss(y, y_hat),
-np.dot(w, crf.joint_feature(x, y_hat)))
def test_energy_lp():
# make sure that energy as computed by ssvm is the same as by lp
np.random.seed(0)
found_fractional = False
for inference_method in get_installed(["lp", "ad3"]):
crf = GridCRF(n_states=3, n_features=4,
inference_method=inference_method)
while not found_fractional:
x = np.random.normal(size=(2, 2, 4))
w = np.random.uniform(size=crf.size_joint_feature)
inf_res, energy_lp = crf.inference(x, w, relaxed=True,
return_energy=True)
assert_almost_equal(energy_lp,
-np.dot(w, crf.joint_feature(x, inf_res)))
found_fractional = np.any(np.max(inf_res[0], axis=-1) != 1)
