def request(self, a, b, p):
"""(p, a, b) -> a
Parameters
----------
a: tuple[numpy.array]
b: numpy.array
p: tuple[numpy.array]
Returns
-------
tuple[numpy.array]
"""
i = self.implement(a, p)
global g_counter
if g_counter % 100 == 0:
print(g_counter, self.test_request_differential(a, b, p))
g_counter += 1
a = a[0]
p00, p01, p10, b00, b01, q0, q1, b1 = p
beta = [
sigmoid_derivative(p00 * a[0] + p10 * a[1] + b00),
sigmoid_derivative(p01 * a[0] + b01)
]
gamma = 1
return numpy.array([
a[0] - (i - b) * gamma * (q0 * beta[0] * p00 + q1 * beta[1] * p10),
a[1] - (i - b) * gamma * (q0 * beta[0] * p01)
]).reshape(2),
def test_request_differential(self, a, b, p):
i = self.implement(a, p)
a = a[0]
p00, p01, p10, b00, b01, q0, q1, b1 = p
beta = [
sigmoid_derivative(p00 * a[0] + p10 * a[1] + b00),
sigmoid_derivative(p01 * a[0] + b01)
]
beta2 = [
sigmoid_derivative_n(p00 * a[0] + p10 * a[1] + b00, 2),
sigmoid_derivative_n(p01 * a[0] + b01, 2)
]
h = q0 * beta[0] * p00 + q1 * beta[1] * p10
k = q0 * beta[0] * p01
return numpy.array([
1 - (h * h + (i - b) * (q0 * beta2[0] * p00 * p00 + q1 * beta2[1] * p10 * p10)),
- (h * k + (i - b) * (q0 * beta2[0] * p00 * p01)),
- (h * k + (i - b) * (q0 * beta2[0] * p00 * p01)),
1 - (k * k + (i - b) * (q0 * beta2[0] * p01 * p01)),
]).reshape(2, 2),
def request(self, a, b, p):
"""(p, a, b) -> a
Parameters
----------
a: tuple[numpy.array]
b: numpy.array
p: tuple[numpy.array]
Returns
-------
tuple[numpy.array]
"""
i = self.implement(a, p)
a = a[0]
w00, w01, w10, b0, b1 = p
beta = [
sigmoid_derivative(w00 * a[0] + w10 * a[1] + b0),
sigmoid_derivative(w01 * a[0] + b1)
]
return numpy.array([
a[0] - (i[0] - b[0]) * beta[0] * w00 - (i[1] - b[1]) * beta[1] * w10,
a[1] - (i[0] - b[1]) * beta[0] * w01
]).reshape(2),
def update(self, a, b, p):
"""(p, a, b) -> p
Parameters
----------
a : tuple[numpy.array]
b : numpy.array
p : tuple[numpy.array]
Returns
-------
tuple[numpy.array]
"""
i = self.implement(a, p)
a = a[0]
w00, w01, w10, b0, b1 = p
beta = [
sigmoid_derivative(w00 * a[0] + w10 * a[1] + b0),
sigmoid_derivative(w01 * a[0] + b1)
]
return (
w00 - self.eps * (i[0] - b[0]) * beta[0] * a[0],
w01 - self.eps * (i[1] - b[1]) * beta[1] * a[0],
w10 - self.eps * (i[0] - b[0]) * beta[0] * a[1],
b0 - self.eps * (i[0] - b[0]) * beta[0],
b1 - self.eps * (i[1] - b[1]) * beta[1],
)
def request(self, a, b, p):
"""(p, a, b) -> a
Parameters
----------
a: tuple[numpy.array]
b: numpy.array
p: tuple[numpy.array]
Returns
-------
tuple[numpy.array]
"""
i = self.implement(a, p)
a = a[0]
p00, p01, p10, b00, b01, q0, q1, b1 = p
beta = [
sigmoid_derivative(p00 * a[0] + p10 * a[1] + b00),
sigmoid_derivative(p01 * a[0] + b01)
]
gamma = sigmoid_derivative(q0 *
sigmoid(p00 * a[0] + p10 * a[1] + b00) +
q1 * sigmoid(p01 * a[0] + b01) + b1)
return numpy.array([
a[0] - (i - b) * gamma * (q0 * beta[0] * p00 + q1 * beta[1] * p10),
a[1] - (i - b) * gamma * (q0 * beta[0] * p01)
]).reshape(2),
def test_request_differential(self, a, b, p):
i = self.implement(a, p)
a = a[0]
w00, w01, w10, b0, b1 = p
beta = [
sigmoid_derivative(w00 * a[0] + w10 * a[1] + b0),
sigmoid_derivative(w01 * a[0] + b1)
]
beta_2 = [
sigmoid_derivative_n(w00 * a[0] + w10 * a[1] + b0, 2),
sigmoid_derivative_n(w01 * a[0] + b1, 2)
]
def request(self, a, b, p):
"""(p, a, b) -> a
Parameters
----------
a: tuple[numpy.array]
b: numpy.array
p: tuple[numpy.array]
Returns
-------
tuple[numpy.array]
"""
i = self.implement(a, p)
w00, w10, b0 = p
a = a[0]
beta = sigmoid_derivative(w00 * a[0] + w10 * a[1] + b0)
return numpy.array(
[
a[0] - (i[0] - b[0]) * beta[0] * w00[0],
a[1] - (i[0] - b[0]) * beta[0] * w10[0]
]
).reshape(2),
def update(self, a, b, p):
"""(p, a, b) -> p
Parameters
----------
a : tuple[numpy.array]
b : numpy.array
p : tuple[numpy.array]
Returns
-------
tuple[numpy.array]
"""
i = self.implement(a, p)
a = a[0]
p00, p01, p10, b00, b01, q0, q1, b1 = p
beta = [
p00 * a[0] + p10 * a[1] + b00,
p01 * a[0] + b01
]
beta_sigma_derivative = [
sigmoid_derivative(beta[0]),
sigmoid_derivative(beta[1])
]
beta_sigma = [
sigmoid(beta[0]),
sigmoid_derivative(beta[1])
]
gamma = 1
return (
p00 - self.eps * (i - b) * gamma * q0 * beta_sigma_derivative[0] * a[0],
p01 - self.eps * (i - b) * gamma * q0 * beta_sigma_derivative[0] * a[1],
p10 - self.eps * (i - b) * gamma * q1 * beta_sigma_derivative[1] * a[0],
b00 - self.eps * (i - b) * gamma * q0 * beta_sigma_derivative[0],
b01 - self.eps * (i - b) * gamma * q1 * beta_sigma_derivative[1],
q0 - self.eps * (i - b) * gamma * beta_sigma[0],
q1 - self.eps * (i - b) * gamma * beta_sigma[1],
b1 - self.eps * (i - b) * gamma
)