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Python

# Importing pandas and numpy
import pandas as pd
import numpy as np
import matplotlib.pyplot as plt
# Reading the csv file into a pandas DataFrame
data = pd.read_csv('student_data.csv')
# Printing out the first 10 rows of our data
print(data[:10])
# Importing matplotlib
# Function to help us plot
def plot_points(data):
X = np.array(data[["gre", "gpa"]])
y = np.array(data["admit"])
admitted = X[np.argwhere(y == 1)]
rejected = X[np.argwhere(y == 0)]
plt.scatter([s[0][0] for s in rejected], [s[0][1]
for s in rejected],
s=25, color='red', edgecolor='k')
plt.scatter([s[0][0] for s in admitted], [s[0][1]
for s in admitted],
s=25, color='cyan', edgecolor='k')
plt.xlabel('Test (GRE)')
plt.ylabel('Grades (GPA)')
# Plotting the points
plot_points(data)
plt.show()
# Separating the ranks
data_rank1 = data[data["rank"] == 1]
data_rank2 = data[data["rank"] == 2]
data_rank3 = data[data["rank"] == 3]
data_rank4 = data[data["rank"] == 4]
# Plotting the graphs
plot_points(data_rank1)
plt.title("Rank 1")
plt.show()
plot_points(data_rank2)
plt.title("Rank 2")
plt.show()
plot_points(data_rank3)
plt.title("Rank 3")
plt.show()
plot_points(data_rank4)
plt.title("Rank 4")
plt.show()
# TODO: Make dummy variables for rank
one_hot_data = pd.concat([data, pd.get_dummies(data['rank'], prefix='rank')],
axis=1)
# TODO: Drop the previous rank column
one_hot_data = one_hot_data.drop('rank', axis=1)
# Print the first 10 rows of our data
one_hot_data[:10]
# Making a copy of our data
processed_data = one_hot_data[:]
# TODO: Scale the columns
processed_data['gre'] = processed_data['gre'] / 800
processed_data['gpa'] = processed_data['gpa'] / 4.0
processed_data[:10]
# Printing the first 10 rows of our procesed data
processed_data[:10]
sample = np.random.choice(processed_data.index, size=int(
len(processed_data) * 0.9), replace=False)
train_data, test_data = processed_data.iloc[sample], processed_data.drop(
sample)
print("Number of training samples is", len(train_data))
print("Number of testing samples is", len(test_data))
print(train_data[:10])
print(test_data[:10])
features = train_data.drop('admit', axis=1)
targets = train_data['admit']
features_test = test_data.drop('admit', axis=1)
targets_test = test_data['admit']
print(features[:10])
print(targets[:10])
# Activation (sigmoid) function
def sigmoid(x):
return 1 / (1 + np.exp(-x))
def sigmoid_prime(x):
return sigmoid(x) * (1 - sigmoid(x))
def error_formula(y, output):
return - y * np.log(output) - (1 - y) * np.log(1 - output)
# TODO: Write the error term formula
def error_term_formula(x, y, output):
return (y - output) * sigmoid_prime(x)
# Neural Network hyperparameters
epochs = 1000
learnrate = 0.5
# Training function
def train_nn(features, targets, epochs, learnrate):
# Use to same seed to make debugging easier
np.random.seed(42)
n_records, n_features = features.shape
last_loss = None
# Initialize weights
weights = np.random.normal(scale=1 / n_features**.5, size=n_features)
for e in range(epochs):
del_w = np.zeros(weights.shape)
for x, y in zip(features.values, targets):
# Loop through all records, x is the input, y is the target
# Activation of the output unit
# Notice we multiply the inputs and the weights here
# rather than storing h as a separate variable
output = sigmoid(np.dot(x, weights))
# The error, the target minus the network output
error = error_formula(y, output)
# The error term
error_term = error_term_formula(x, y, output)
# The gradient descent step, the error times the gradient times the inputs
del_w += error_term * x
# Update the weights here. The learning rate times the
# change in weights, divided by the number of records to average
weights += learnrate * del_w / n_records
# Printing out the mean square error on the training set
if e % (epochs / 10) == 0:
out = sigmoid(np.dot(features, weights))
loss = np.mean((out - targets) ** 2)
print("Epoch:", e)
if last_loss and last_loss < loss:
print("Train loss: ", loss, " WARNING - Loss Increasing")
else:
print("Train loss: ", loss)
last_loss = loss
print("=========")
print("Finished training!")
return weights
weights = train_nn(features, targets, epochs, learnrate)
# Calculate accuracy on test data
test_out = sigmoid(np.dot(features_test, weights))
predictions = test_out > 0.5
accuracy = np.mean(predictions == targets_test)
print("Prediction accuracy: {:.3f}".format(accuracy))