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Main_file.py
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237 lines (216 loc) · 7.21 KB
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import numpy as np
import matplotlib.pyplot as plt
from testCases_v2 import *
import sklearn
import sklearn.datasets
import sklearn.linear_model
from planar_utils import (
plot_decision_boundary,
sigmoid,
load_planar_dataset,
load_extra_datasets,
)
np.random.seed(1)
X, Y = load_planar_dataset()
plt.scatter(X[0, :], X[1, :], c=Y, s=40, cmap=plt.cm.Spectral);
shape_X = X.shape
shape_Y = Y.shape
m = shape_X[1]
print("The shape of X is: " + str(shape_X))
print("The shape of Y is: " + str(shape_Y))
print("I have m = %d training examples!" % (m))
clf = sklearn.linear_model.LogisticRegressionCV()
Y_reshaped = Y.ravel()
clf.fit(X.T, Y_reshaped);
plot_decision_boundary(lambda x: clf.predict(x), X, Y)
plt.title("Logistic Regression")
LR_predictions = clf.predict(X.T)
print(
"Accuracy of logistic regression: %d "
% float(
(np.dot(Y, LR_predictions) + np.dot(1 - Y, 1 - LR_predictions))
/ float(Y.size)
* 100
)
+ "% "
+ "(percentage of correctly labelled datapoints)"
)
def layer_sizes(X, Y):
n_x = X.shape[0]
n_h = 4
n_y = Y.shape[0]
return (n_x, n_h, n_y)
X_assess, Y_assess = layer_sizes_test_case()
(n_x, n_h, n_y) = layer_sizes(X_assess, Y_assess)
print("The size of the input layer is: n_x = " + str(n_x))
print("The size of the hidden layer is: n_h = " + str(n_h))
print("The size of the output layer is: n_y = " + str(n_y))
def initialize_parameters(n_x, n_h, n_y):
np.random.seed(
2
)
scale_factor = 0.01
W1 = np.random.randn(n_h, n_x) * scale_factor
b1 = np.zeros((n_h, 1))
W2 = np.random.randn(n_y, n_h) * scale_factor
b2 = np.zeros((n_y, 1))
assert W1.shape == (n_h, n_x)
assert b1.shape == (n_h, 1)
assert W2.shape == (n_y, n_h)
assert b2.shape == (n_y, 1)
parameters = {"W1": W1, "b1": b1, "W2": W2, "b2": b2}
return parameters
n_x, n_h, n_y = initialize_parameters_test_case()
parameters = initialize_parameters(n_x, n_h, n_y)
print("W1 = " + str(parameters["W1"]))
print("b1 = " + str(parameters["b1"]))
print("W2 = " + str(parameters["W2"]))
print("b2 = " + str(parameters["b2"]))
def forward_propagation(X, parameters):
W1 = parameters.get("W1")
b1 = parameters.get("b1")
W2 = parameters.get("W2")
b2 = parameters.get("b2")
Z1 = np.dot(W1, X) + b1
A1 = np.tanh(Z1)
Z2 = np.dot(W2, A1) + b2
A2 = sigmoid(Z2)
assert A2.shape == (1, X.shape[1])
cache = {"Z1": Z1, "A1": A1, "Z2": Z2, "A2": A2}
return A2, cache
X_assess, parameters = forward_propagation_test_case()
A2, cache = forward_propagation(X_assess, parameters)
print(
f"Z1: {cache.get("Z1")}\n \
A1: {cache.get("A1")}\n \
Z2: {cache.get("Z2")}\n \
A2: {cache.get("A1")}\n"
)
print(
np.mean(cache["Z1"]),
np.mean(cache["A1"]),
np.mean(cache["Z2"]),
np.mean(cache["A2"]),
)
def compute_cost(A2, Y, parameters):
m = Y.shape[1]
logprobs = np.multiply(np.log(A2), Y) + np.multiply((1 - Y), np.log(1 - A2))
cost = (-1 / m) * np.sum(logprobs)
cost = float(np.squeeze(cost))
assert isinstance(cost, float)
return cost
A2, Y_assess, parameters = compute_cost_test_case()
print("cost = " + str(compute_cost(A2, Y_assess, parameters)))
def backward_propagation(parameters, cache, X, Y):
m = X.shape[1] W1 = parameters.get("W1")
W2 = parameters.get("W2")
A1 = cache.get("A1")
A2 = cache.get("A2")
dZ2 = A2 - Y
dW2 = (1 / m) * np.dot(dZ2, A1.T)
db2 = (1 / m) * np.sum(dZ2, axis=1, keepdims=True)
dZ1 = np.dot(W2.T, dZ2) * (
1 - np.power(A1, 2)
)
dW1 = (1 / m) * np.dot(dZ1, X.T)
db1 = (1 / m) * np.sum(dZ1, axis=1, keepdims=True)
grads = {"dW1": dW1, "db1": db1, "dW2": dW2, "db2": db2}
return grads
parameters, cache, X_assess, Y_assess = backward_propagation_test_case()
grads = backward_propagation(parameters, cache, X_assess, Y_assess)
print("dW1 = " + str(grads["dW1"]))
print("db1 = " + str(grads["db1"]))
print("dW2 = " + str(grads["dW2"]))
print("db2 = " + str(grads["db2"]))
def update_parameters(parameters, grads, learning_rate):
W1 = parameters.get("W1")
b1 = parameters.get("b1")
W2 = parameters.get("W2")
b2 = parameters.get("b2")
dW1 = grads.get("dW1")
db1 = grads.get("db1")
dW2 = grads.get("dW2")
db2 = grads.get("db2")
W1 -= learning_rate * dW1
b1 -= learning_rate * db1
W2 -= learning_rate * dW2
b2 -= learning_rate * db2
parameters = {"W1": W1, "b1": b1, "W2": W2, "b2": b2}
return parameters
parameters, grads = update_parameters_test_case()
parameters = update_parameters(parameters, grads, 1.2)
print("W1 = " + str(parameters["W1"]))
print("b1 = " + str(parameters["b1"]))
print("W2 = " + str(parameters["W2"]))
print("b2 = " + str(parameters["b2"]))
def nn_model(X, Y, n_h, learning_rate, num_iterations=10000, print_cost=False):
n_x = layer_sizes(X, Y)[0]
n_y = layer_sizes(X, Y)[2]
parameters = initialize_parameters(n_x, n_h, n_y)
W1 = parameters["W1"]
b1 = parameters["b1"]
W2 = parameters["W2"]
b2 = parameters["b2"]
for i in range(0, num_iterations):
A2, cache = forward_propagation(X, parameters)
cost = compute_cost(A2, Y, parameters)
grads = backward_propagation(parameters, cache, X, Y)
parameters = update_parameters(parameters, grads, learning_rate)
if print_cost and i % 1000 == 0:
print("Cost after iteration %i: %f" % (i, cost))
X_assess, Y_assess = nn_model_test_case()
parameters = nn_model(
X_assess, Y_assess, 4, 1.02, num_iterations=10000, print_cost=True
)
print("W1 = " + str(parameters["W1"]))
print("b1 = " + str(parameters["b1"]))
print("W2 = " + str(parameters["W2"]))
print("b2 = " + str(parameters["b2"]))
def predict(parameters, X):
A2, _ = forward_propagation(X, parameters)
predictions = A2 > 0.5
return predictions
parameters, X_assess = predict_test_case()
predictions = predict(parameters, X_assess)
print("predictions mean = " + str(np.mean(predictions)))
parameters = nn_model(X, Y, 4, 1.2, num_iterations=10000, print_cost=True)
plot_decision_boundary(lambda x: predict(parameters, x.T), X, Y)
plt.title("Decision Boundary for hidden layer size " + str(4))
predictions = predict(parameters, X)
print(
"Accuracy: %d"
% float(
(np.dot(Y, predictions.T) + np.dot(1 - Y, 1 - predictions.T))
/ float(Y.size)
* 100
)
+ "%"
)
plt.figure(figsize=(16, 32))
hidden_layer_sizes = [1, 2, 3, 4, 5, 20, 50]
for i, n_h in enumerate(hidden_layer_sizes):
plt.subplot(5, 2, i + 1)
plt.title("Hidden Layer of size %d" % n_h)
parameters = nn_model(X, Y, n_h, 1.2, num_iterations=5000)
plot_decision_boundary(lambda x: predict(parameters, x.T), X, Y)
predictions = predict(parameters, X)
accuracy = float(
(np.dot(Y, predictions.T) + np.dot(1 - Y, 1 - predictions.T))
/ float(Y.size)
* 100
)
print("Accuracy for {} hidden units: {} %".format(n_h, accuracy))
noisy_circles, noisy_moons, blobs, gaussian_quantiles, no_structure = (
load_extra_datasets()
)
datasets = {
"noisy_circles": noisy_circles,
"noisy_moons": noisy_moons,
"blobs": blobs,
"gaussian_quantiles": gaussian_quantiles,
}
X, Y = datasets[dataset]
X, Y = X.T, Y.reshape(1, Y.shape[0])
if dataset == "blobs":
Y = Y % 2
plt.scatter(X[0, :], X[1, :], c=Y, s=40, cmap=plt.cm.Spectral);