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 implement(self, a, p):
"""(p, a) -> b
Parameters
----------
a : tuple[numpy.array]
p : tuple[numpy.array]
Returns
-------
numpy.array
"""
a = a[0]
w00, w01, w10, b0, b1 = p
return numpy.array(
[sigmoid(w00 * a[0] + w10 * a[1] + b0),
sigmoid(w01 * a[0] + b1)]).reshape(2)
def implement(self, a, p):
"""(p, a) -> b
Parameters
----------
a : tuple[numpy.array]
p : tuple[numpy.array]
Returns
-------
numpy.array
"""
a = a[0]
p00, p01, p10, b00, b01, q0, q1, b1 = p
return numpy.array([
sigmoid(q0 * sigmoid(p00 * a[0] + p10 * a[1] + b00) +
q1 * sigmoid(p01 * a[0] + b01) + b1)
]).reshape(1)
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 = sigmoid_derivative(q0 *
sigmoid(p00 * a[0] + p10 * a[1] + b00) +
q1 * sigmoid(p01 * a[0] + b01) + b1)
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)
def f(src):
return sigmoid(src[0] * 2 + src[1] + 1) * 3 + sigmoid(src[0] * -1 + 2) + 3
