def test_binary():
a_np = np.random.normal(size=(5, 5))
b_np = np.random.normal(size=(5, 5))
a_ca = ca.array(a_np)
b_ca = ca.array(b_np)
c_np = np.add(a_np, b_np)
c_ca = ca.add(a_ca, b_ca)
print(np.allclose(c_np, np.array(c_ca)))
np.add(a_np, b_np, a_np)
ca.add(a_ca, b_ca, a_ca)
print(np.allclose(a_np, np.array(a_ca)))
np.multiply(a_np, b_np, a_np)
ca.multiply(a_ca, b_ca, a_ca)
print(np.allclose(a_np, np.array(a_ca)))
a_np = np.random.normal(size=(5, 5))
b_np = np.random.normal(size=(5, 5)) > 0
a_ca = ca.array(a_np)
b_ca = ca.array(b_np)
c_np = np.multiply(a_np, b_np)
c_ca = ca.multiply(a_ca, b_ca)
print(np.allclose(c_np, np.array(c_ca)))
def test_binary():
a_np = np.random.normal(size=(5, 5))
b_np = np.random.normal(size=(5, 5))
a_ca = ca.array(a_np)
b_ca = ca.array(b_np)
c_np = np.add(a_np, b_np)
c_ca = ca.add(a_ca, b_ca)
print(np.allclose(c_np, np.array(c_ca)))
np.add(a_np, b_np, a_np)
ca.add(a_ca, b_ca, a_ca)
print(np.allclose(a_np, np.array(a_ca)))
np.multiply(a_np, b_np, a_np)
ca.multiply(a_ca, b_ca, a_ca)
print(np.allclose(a_np, np.array(a_ca)))
a_np = np.random.normal(size=(5, 5))
b_np = np.random.normal(size=(5, 5)) > 0
a_ca = ca.array(a_np)
b_ca = ca.array(b_np)
c_np = np.multiply(a_np, b_np)
c_ca = ca.multiply(a_ca, b_ca)
print(np.allclose(c_np, np.array(c_ca)))
def bprop(self):
# -(target/pred - (1 - target)/(1 - pred))
tmp1 = 1 - self.target.array
tmp2 = 1 - self.pred.array
tmp2 += self.eps
ca.divide(tmp1, tmp2, tmp1)
ca.add(self.pred.array, self.eps, tmp2)
ca.divide(self.target.array, tmp2, out=tmp2)
ca.subtract(tmp1, tmp2, self.pred.grad_array)
self.pred.grad_array *= ca.reshape(self.grad_array, self.bcast_shape)
def bprop(self):
# -(target/pred - (1 - target)/(1 - pred))
tmp1 = 1 - self.target.array
tmp2 = 1 - self.pred.array
tmp2 += self.eps
ca.divide(tmp1, tmp2, tmp1)
ca.add(self.pred.array, self.eps, tmp2)
ca.divide(self.target.array, tmp2, out=tmp2)
ca.subtract(tmp1, tmp2, self.pred.grad_array)
self.pred.grad_array *= ca.reshape(self.grad_array, self.bcast_shape)
def bprop(self):
# -(target/pred - (1 - target)/(1 - pred))
tmp1 = 1 - self.target.out
tmp2 = 1 - self.pred.out
tmp2 += self.eps
ca.divide(tmp1, tmp2, tmp1)
ca.add(self.pred.out, self.eps, tmp2)
ca.divide(self.target.out, tmp2, out=tmp2)
ca.subtract(tmp1, tmp2, self.pred.out_grad)
self.pred.out_grad *= self.out_grad
def fprop(self):
# -log(1 - pred)*(1 - target) - log(pred)*target
tmp1 = 1 - self.pred.array
tmp1 += self.eps
ca.log(tmp1, tmp1)
tmp2 = 1 - self.target.array
ca.multiply(tmp1, tmp2, tmp1)
ca.add(self.pred.array, self.eps, tmp2)
ca.log(tmp2, tmp2)
tmp2 *= self.target.array
ca.add(tmp1, tmp2, tmp1)
tmp1 *= -1
ca.sum(tmp1, axis=1, out=self.array)
def fprop(self):
# -log(1 - pred)*(1 - target) - log(pred)*target
tmp1 = 1 - self.pred.array
tmp1 += self.eps
ca.log(tmp1, tmp1)
tmp2 = 1 - self.target.array
ca.multiply(tmp1, tmp2, tmp1)
ca.add(self.pred.array, self.eps, tmp2)
ca.log(tmp2, tmp2)
tmp2 *= self.target.array
ca.add(tmp1, tmp2, tmp1)
tmp1 *= -1
ca.sum(tmp1, axis=1, out=self.array)
def fprop(self):
# -log(1 - pred)*(1 - target) - log(pred)*target
tmp1 = 1 - self.pred.out
tmp1 += self.eps
ca.log(tmp1, tmp1)
tmp2 = 1 - self.target.out
ca.multiply(tmp1, tmp2, tmp1)
ca.add(self.pred.out, self.eps, tmp2)
ca.log(tmp2, tmp2)
tmp2 *= self.target.out
ca.add(tmp1, tmp2, tmp1)
tmp1 *= -1
ca.sum(tmp1, axis=1, keepdims=True, out=self.out)
def matrix_factorization(R, P, Q, mask, steps=200000000, alpha=0.00005, beta=0.02):
Q = ca.transpose(Q)
for step in xrange(steps):
E = ca.subtract(R, ca.multiply(ca.dot(P,Q), mask))
rmse = ca.sqrt(ca.sum(ca.power(E,2)) / ca.sum(mask))
rmse = np.array(rmse)[0]
print 'step: %i RMSE: %f' % (step, rmse)
if rmse < 0.65:
break
P = ca.add(ca.multiply(P,(1-alpha*beta)),ca.multiply(ca.dot(E,ca.transpose(Q)), 2*alpha))
Q = ca.add(ca.multiply(Q,(1-alpha*beta)),ca.multiply(ca.dot(ca.transpose(P),E),2*alpha))
return P, Q
def fprop(self):
if self.phase == 'train':
# Calculate batch mean
tmp = ca.mean(ca.mean(self.x.out, axis=0, keepdims=True),
axis=(2, 3),
keepdims=True)
# Center input
ca.subtract(self.x.out, tmp, self._tmp_batch_centered)
# Update running mean
tmp *= 1 - self.momentum
self.running_mean *= self.momentum
self.running_mean += tmp
# Calculate batch variance
ca.power(self._tmp_batch_centered, 2, self.out)
ca.mean(ca.mean(self.out, axis=0, keepdims=True),
axis=(2, 3),
keepdims=True,
out=self._tmp_batch_inv_std)
# Calculate 1 / E([x - E(x)]^2)
self._tmp_batch_inv_std += self.eps
ca.sqrt(self._tmp_batch_inv_std, self._tmp_batch_inv_std)
ca.power(self._tmp_batch_inv_std, -1, self._tmp_batch_inv_std)
# Normalize input
ca.multiply(self._tmp_batch_centered, self._tmp_batch_inv_std,
self.out)
# Update running std
self.running_std *= self.momentum
ca.multiply(self._tmp_batch_inv_std, 1 - self.momentum, tmp)
self.running_std += tmp
if self.noise_std > 0.0:
noise = ca.random.normal(scale=self.noise_std,
size=self.out_shape)
ca.add(self.out, noise, self.out)
elif self.phase == 'test':
ca.subtract(self.x.out, self.running_mean, self.out)
self.out *= self.running_std
else:
raise ValueError('Invalid phase: %s' % self.phase)
if self.affine:
self.out *= self.gamma.array
self.out += self.beta.array
def fprop(self):
if self.phase == 'train':
# Calculate batch mean
tmp = ca.mean(ca.mean(self.x.out, axis=0, keepdims=True),
axis=(2, 3), keepdims=True)
# Center input
ca.subtract(self.x.out, tmp, self._tmp_batch_centered)
# Update running mean
tmp *= 1 - self.momentum
self.running_mean *= self.momentum
self.running_mean += tmp
# Calculate batch variance
ca.power(self._tmp_batch_centered, 2, self.out)
ca.mean(ca.mean(self.out, axis=0, keepdims=True), axis=(2, 3),
keepdims=True, out=self._tmp_batch_inv_std)
# Calculate 1 / E([x - E(x)]^2)
self._tmp_batch_inv_std += self.eps
ca.sqrt(self._tmp_batch_inv_std, self._tmp_batch_inv_std)
ca.power(self._tmp_batch_inv_std, -1, self._tmp_batch_inv_std)
# Normalize input
ca.multiply(self._tmp_batch_centered, self._tmp_batch_inv_std,
self.out)
# Update running std
self.running_std *= self.momentum
ca.multiply(self._tmp_batch_inv_std, 1-self.momentum, tmp)
self.running_std += tmp
if self.noise_std > 0.0:
noise = ca.random.normal(scale=self.noise_std,
size=self.out_shape)
ca.add(self.out, noise, self.out)
elif self.phase == 'test':
ca.subtract(self.x.out, self.running_mean, self.out)
self.out *= self.running_std
else:
raise ValueError('Invalid phase: %s' % self.phase)
if self.affine:
self.out *= self.gamma.array
self.out += self.beta.array
def matrix_factorization(R,
P,
Q,
mask,
steps=200000000,
alpha=0.00005,
beta=0.02):
Q = ca.transpose(Q)
for step in xrange(steps):
E = ca.subtract(R, ca.multiply(ca.dot(P, Q), mask))
rmse = ca.sqrt(ca.sum(ca.power(E, 2)) / ca.sum(mask))
rmse = np.array(rmse)[0]
print 'step: %i RMSE: %f' % (step, rmse)
if rmse < 0.65:
break
P = ca.add(ca.multiply(P, (1 - alpha * beta)),
ca.multiply(ca.dot(E, ca.transpose(Q)), 2 * alpha))
Q = ca.add(ca.multiply(Q, (1 - alpha * beta)),
ca.multiply(ca.dot(ca.transpose(P), E), 2 * alpha))
return P, Q
def fprop(self):
ca.add(self.lhs.out, self.rhs.out, out=self.out)
def fprop(self):
ca.add(self.lhs.array, self.rhs.array, out=self.array)
def fprop(self):
ca.add(self.lhs.array, self.rhs.array, out=self.array)
def fprop(self):
self.tmp.fill(0.0)
feats = ca.reshape(self.feats.out, self.feats.out.shape + (1, 1))
ca.add(feats, self.tmp, out=self.tmp)
ca.extra.concatenate(self.imgs.out, self.tmp, axis=1, out=self.out)
def fprop(self):
ca.add(self.lhs.out, self.rhs.out, out=self.out)