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Copy pathDigit_recognition__practice_project.py
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118 lines (96 loc) · 3.27 KB
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import numpy as np
import pandas as pd
from matplotlib import pyplot as plt
#training dataset taken from Kaggle Digit Recognizer MNIST dataset
data = pd.read_csv('./training_data/train.csv')
data.head()
data = np.array(data)
m, n = data.shape
np.random.shuffle(data)
data_dev = data[0:1000].T
Y_dev = data_dev[0]
X_dev = data_dev[1:n]
X_dev = X_dev / 255.
data_train = data[1000:m].T
Y_train = data_train[0]
X_train = data_train[1:n]
X_train = X_train / 255.
_,m_train = X_train.shape
Y_train
def init_params():
W1 = np.random.rand(10, 784) - 0.5
b1 = np.random.rand(10, 1) - 0.5
W2 = np.random.rand(10, 10) - 0.5
b2 = np.random.rand(10, 1) - 0.5
return W1, b1, W2, b2
def ReLU(Z):
return np.maximum(0, Z)
def softmax(Z):
return np.exp(Z)/sum(np.exp(Z))
def forward_prop(W1, b1, W2, b2, X):
Z1 = W1.dot(X) + b1
A1 = ReLU(Z1)
Z2 = W2.dot(A1) + b2
A2 = softmax(Z2)
return Z1, A1, Z2, A2
def one_hot(Y):
one_hot_Y = np.zeros((Y.size, Y.max() + 1))
one_hot_Y[np.arange(Y.size), Y] = 1
one_hot_Y = one_hot_Y.T
return one_hot_Y
def deriv_ReLU(Z):
return Z > 0
def back_prop(Z1, A1, Z2, A2, W2, X, Y):
m = Y.size
one_hot_Y = one_hot(Y)
dZ2 = A2 - one_hot(Y)
dW2 = 1/m * dZ2.dot(A1.T)
db2 = 1/m * np.sum(dZ2)
dZ1 = W2.T.dot(dZ2) * deriv_ReLU(Z1)
dW1 = 1/m * dZ1.dot(X.T)
db1 = 1/m * np.sum(dZ1)
return dW1, db1, dW2, db2
def update_params(W1, b1, W2, b2, dW1, db1, dW2, db2, alpha):
W1 = W1 - alpha * dW1
W2 = W2 - alpha * dW2
b1 = b1 - alpha * db1
b2 = b2 - alpha * db2
return W1, b1, W2, b2
def get_predictions(A2):
return np.argmax(A2, 0)
def get_accuracy(predictions, Y):
print(predictions, Y)
return np.sum(predictions == Y) / Y.size
def gradient_descent(X, Y, iterations, alpha):
W1, b1, W2, b2 = init_params()
for i in range(iterations):
Z1, A1, Z2, A2 = forward_prop(W1, b1, W2, b2, X)
dW1, db1, dW2, db2 = back_prop(Z1, A1, Z2, A2, W2, X, Y)
W1, b1, W2, b2 = update_params(W1, b1, W2, b2, dW1, db1, dW2, db2, alpha)
if i % 10 == 0:
print("Iterations: ", i)
print("Accuracy: ", get_accuracy(get_predictions(A2), Y))
return W1, b1, W2, b2
W1, b1, W2, b2 = gradient_descent(X_train, Y_train, 2000, 0.1)
def make_predictions(X, W1, b1, W2, b2):
_, _, _, A2 = forward_prop(W1, b1, W2, b2, X)
predictions = get_predictions(A2)
return predictions
def test_predictions(index, W1, b1, W2, b2):
current_image = X_train[:, index, None]
prediction = make_predictions(X_train[:, index, None], W1, b1, W2, b2)
label = Y_train[index]
print("Prediction: ", prediction)
print("Label: ", label)
current_image = current_image.reshape((28, 28)) * 255
plt.gray()
plt.imshow(current_image, interpolation='nearest')
plt.show()
test_predictions(5, W1, b1, W2, b2)
test_predictions(105, W1, b1, W2, b2)
test_predictions(99, W1, b1, W2, b2)
test_predictions(200, W1, b1, W2, b2)
test_predictions(450, W1, b1, W2, b2)
test_predictions(300, W1, b2, W2, b2)
dev_predictions = make_predictions(X_dev, W1, b1, W2, b2)
print("Accuracy: ",get_accuracy(dev_predictions, Y_dev) * 100)