def test_orthogonal_matrix_covariance():
msg = "Orthogonal matrix should have less covariance than a random matrix"
orth = Variable(fake_data.orthogonal_matrix([20, 20]).astype('float32'))
rand = Variable(np.random.randn(20, 20).astype('float32'))
orth_cc = cross_covariance(orth, orth).data
rand_cc = cross_covariance(rand, rand).data
assert orth_cc < rand_cc, msg
def check_type(self, y_data, z_data):
y = chainer.Variable(y_data)
z = chainer.Variable(z_data)
loss = functions.cross_covariance(y, z)
loss.backward()
self.assertEqual(y_data.dtype, y.grad.dtype)
self.assertEqual(z_data.dtype, z.grad.dtype)
def check_forward(self, y_data, z_data):
y = chainer.Variable(y_data)
z = chainer.Variable(z_data)
loss = functions.cross_covariance(y, z)
self.assertEqual(loss.data.shape, ())
self.assertEqual(loss.data.dtype, numpy.float32)
loss_value = float(cuda.to_cpu(loss.data))
# Compute expected value
y_data, z_data = cuda.to_cpu(y_data), cuda.to_cpu(z_data)
y_mean = y_data.mean(axis=0)
z_mean = z_data.mean(axis=0)
N = y_data.shape[0]
loss_expect = 0
for i in six.moves.xrange(y_data.shape[1]):
for j in six.moves.xrange(z_data.shape[1]):
ij_loss = 0.
for n in six.moves.xrange(N):
ij_loss += (y_data[n, i] - y_mean[i]) * (
z_data[n, j] - z_mean[j])
ij_loss /= N
loss_expect += ij_loss ** 2
loss_expect *= 0.5
self.assertAlmostEqual(loss_expect, loss_value, places=5)
def check_type(self, y_data, z_data):
y = chainer.Variable(y_data)
z = chainer.Variable(z_data)
loss = functions.cross_covariance(y, z)
loss.backward()
self.assertEqual(y_data.dtype, y.grad.dtype)
self.assertEqual(z_data.dtype, z.grad.dtype)
def check_forward(self, y_data, z_data):
y = chainer.Variable(y_data)
z = chainer.Variable(z_data)
loss = functions.cross_covariance(y, z)
self.assertEqual(loss.data.shape, ())
self.assertEqual(loss.data.dtype, numpy.float32)
loss_value = float(loss.data)
# Compute expected value
y_data, z_data = cuda.to_cpu(y_data), cuda.to_cpu(z_data)
y_mean = y_data.mean(axis=0)
z_mean = z_data.mean(axis=0)
N = y_data.shape[0]
loss_expect = 0
for i in six.moves.xrange(y_data.shape[1]):
for j in six.moves.xrange(z_data.shape[1]):
ij_loss = 0.
for n in six.moves.xrange(N):
ij_loss += (y_data[n, i] - y_mean[i]) * (
z_data[n, j] - z_mean[j])
ij_loss /= N
loss_expect += ij_loss ** 2
loss_expect *= 0.5
self.assertAlmostEqual(loss_expect, loss_value, places=5)
def _priors(self):
""" Measure likelihood of seeing topic proportions"""
loss = None
for cat_feat_name, vals in self.categorical_features.items():
embedding, transform, loss_func, penalty = vals
name = cat_feat_name + "_mixture"
dl = dirichlet_likelihood(self[name].weights)
if penalty:
factors = self[name].factors.W
cc = F.cross_covariance(factors, factors)
dl += cc
loss = dl if loss is None else dl + loss
return loss
def _priors(self):
""" Measure likelihood of seeing topic proportions"""
loss = None
for cat_feat_name, vals in self.categorical_features.items():
embedding, transform, loss_func, penalty = vals
name = cat_feat_name + "_mixture"
dl = dirichlet_likelihood(self[name].weights)
if penalty:
factors = self[name].factors.W
cc = F.cross_covariance(factors, factors)
dl += cc
loss = dl if loss is None else dl + loss
return loss
def check_backward(self, y_data, z_data, use_cudnn=True):
y = chainer.Variable(y_data)
z = chainer.Variable(z_data)
loss = functions.cross_covariance(y, z, use_cudnn)
loss.backward()
func = loss.creator
f = lambda: func.forward((y.data, z.data))
gy, gz = gradient_check.numerical_grad(f, (y.data, z.data),
(1, ), eps=0.02)
gradient_check.assert_allclose(gy, y.grad)
gradient_check.assert_allclose(gz, z.grad)
def check_forward(self, y_data, z_data):
y = chainer.Variable(y_data)
z = chainer.Variable(z_data)
loss = functions.cross_covariance(y, z, self.reduce)
self.assertEqual(loss.shape, self.gloss.shape)
self.assertEqual(loss.data.dtype, numpy.float32)
loss_value = cuda.to_cpu(loss.data)
# Compute expected value
loss_expect = _cross_covariance(y_data, z_data)
if self.reduce == 'half_squared_sum':
loss_expect = numpy.sum(loss_expect ** 2) * 0.5
numpy.testing.assert_allclose(
loss_expect, loss_value, rtol=1e-4, atol=1e-4)
def check_forward(self, y_data, z_data):
y = chainer.Variable(y_data)
z = chainer.Variable(z_data)
loss = functions.cross_covariance(y, z, self.reduce)
self.assertEqual(loss.shape, self.gloss.shape)
self.assertEqual(loss.data.dtype, self.dtype)
loss_value = cuda.to_cpu(loss.data)
# Compute expected value
loss_expect = _cross_covariance(y_data, z_data, dtype=self.dtype)
if self.reduce == 'half_squared_sum':
loss_expect = numpy.sum(loss_expect ** 2) * 0.5
numpy.testing.assert_allclose(
loss_expect, loss_value, **self.forward_options)
def __call__(self, x_recon, x, enc_hiddens, dec_hiddens, scale=True):
"""
Parameters
-----------------
x_recon: Variable to be reconstructed as label
x: Variable to be reconstructed as label
enc_hiddens: list of Variable
dec_hiddens: list of Varialbe
"""
cc_loss = 0
# Lateral Recon Loss
if self.rc and enc_hiddens is not None:
for h0, h1 in zip(enc_hiddens[::-1], dec_hiddens):
n = h0.shape[0]
d = np.prod(h0.shape[1:])
l = F.cross_covariance(h0, h1) / n / d
cc_loss += l
self.loss = cc_loss
return self.loss
def __call__(self, x_recon, x, enc_hiddens, dec_hiddens, scale=True):
"""
Parameters
-----------------
x_recon: Variable to be reconstructed as label
x: Variable to be reconstructed as label
enc_hiddens: list of Variable
dec_hiddens: list of Varialbe
"""
cc_loss = 0
# Lateral Recon Loss
if self.rc and enc_hiddens is not None:
for h0, h1 in zip(enc_hiddens[::-1], dec_hiddens):
n = h0.shape[0]
d = np.prod(h0.shape[1:])
l = F.cross_covariance(h0, h1) / n / d
cc_loss += l
self.loss = cc_loss
return self.loss
def f(y, z):
return functions.cross_covariance(y, z, self.reduce)
def check_invalid_option(self, xp):
y = xp.asarray(self.y)
z = xp.asarray(self.z)
with self.assertRaises(ValueError):
functions.cross_covariance(y, z, 'invalid_option')
def f(y, z):
return functions.cross_covariance(y, z, self.reduce)
def check_invalid_option(self, xp):
y = xp.asarray(self.y)
z = xp.asarray(self.z)
with self.assertRaises(ValueError):
functions.cross_covariance(y, z, 'invalid_option')