## How to Implement Random Forest From Scratch in Python

# Random Forest Algorithm on Sonar Dataset

from random import seed

from random import randrange

from math import sqrt

dataset = list()

with open(filename, 'r') as file:

if not row:

continue

dataset.append(row)

return dataset

# Convert string column to float

def str_column_to_float(dataset, column):

for row in dataset:

row[column] = float(row[column].strip())

# Convert string column to integer

def str_column_to_int(dataset, column):

class_values = [row[column] for row in dataset]

unique = set(class_values)

lookup = dict()

for i, value in enumerate(unique):

lookup[value] = i

for row in dataset:

row[column] = lookup[row[column]]

return lookup

# Split a dataset into k folds

def cross_validation_split(dataset, n_folds):

dataset_split = list()

dataset_copy = list(dataset)

fold_size = int(len(dataset) / n_folds)

for i in range(n_folds):

fold = list()

while len(fold) < fold_size:

index = randrange(len(dataset_copy))

fold.append(dataset_copy.pop(index))

dataset_split.append(fold)

return dataset_split

# Calculate accuracy percentage

def accuracy_metric(actual, predicted):

correct = 0

for i in range(len(actual)):

if actual[i] == predicted[i]:

correct += 1

return correct / float(len(actual)) * 100.0

# Evaluate an algorithm using a cross validation split

def evaluate_algorithm(dataset, algorithm, n_folds, *args):

folds = cross_validation_split(dataset, n_folds)

scores = list()

for fold in folds:

train_set = list(folds)

train_set.remove(fold)

train_set = sum(train_set, [])

test_set = list()

for row in fold:

row_copy = list(row)

test_set.append(row_copy)

row_copy[-1] = None

predicted = algorithm(train_set, test_set, *args)

actual = [row[-1] for row in fold]

accuracy = accuracy_metric(actual, predicted)

scores.append(accuracy)

return scores

# Split a dataset based on an attribute and an attribute value

def test_split(index, value, dataset):

left, right = list(), list()

for row in dataset:

if row[index] < value:

left.append(row)

else:

right.append(row)

return left, right

# Calculate the Gini index for a split dataset

def gini_index(groups, classes):

# count all samples at split point

n_instances = float(sum([len(group) for group in groups]))

# sum weighted Gini index for each group

gini = 0.0

for group in groups:

size = float(len(group))

# avoid divide by zero

if size == 0:

continue

score = 0.0

# score the group based on the score for each class

for class_val in classes:

p = [row[-1] for row in group].count(class_val) / size

score += p * p

# weight the group score by its relative size

gini += (1.0 - score) * (size / n_instances)

return gini

# Select the best split point for a dataset

def get_split(dataset, n_features):

class_values = list(set(row[-1] for row in dataset))

b_index, b_value, b_score, b_groups = 999, 999, 999, None

features = list()

while len(features) < n_features:

index = randrange(len(dataset[0])-1)

if index not in features:

features.append(index)

for index in features:

for row in dataset:

groups = test_split(index, row[index], dataset)

gini = gini_index(groups, class_values)

if gini < b_score:

b_index, b_value, b_score, b_groups = index, row[index], gini, groups

return 'index':b_index, 'value':b_value, 'groups':b_groups

# Create a terminal node value

def to_terminal(group):

outcomes = [row[-1] for row in group]

return max(set(outcomes), key=outcomes.count)

# Create child splits for a node or make terminal

def split(node, max_depth, min_size, n_features, depth):

left, right = node['groups']

del(node['groups'])

# check for a no split

if not left or not right:

node['left'] = node['right'] = to_terminal(left + right)

return

# check for max depth

if depth >= max_depth:

node['left'], node['right'] = to_terminal(left), to_terminal(right)

return

# process left child

if len(left) <= min_size:

node['left'] = to_terminal(left)

else:

node['left'] = get_split(left, n_features)

split(node['left'], max_depth, min_size, n_features, depth+1)

# process right child

if len(right) <= min_size:

node['right'] = to_terminal(right)

else:

node['right'] = get_split(right, n_features)

split(node['right'], max_depth, min_size, n_features, depth+1)

# Build a decision tree

def build_tree(train, max_depth, min_size, n_features):

root = get_split(train, n_features)

split(root, max_depth, min_size, n_features, 1)

return root

# Make a prediction with a decision tree

def predict(node, row):

if row[node['index']] < node['value']:

if isinstance(node['left'], dict):

return predict(node['left'], row)

else:

return node['left']

else:

if isinstance(node['right'], dict):

return predict(node['right'], row)

else:

return node['right']

# Create a random subsample from the dataset with replacement

def subsample(dataset, ratio):

sample = list()

n_sample = round(len(dataset) * ratio)

while len(sample) < n_sample:

index = randrange(len(dataset))

sample.append(dataset[index])

return sample

# Make a prediction with a list of bagged trees

def bagging_predict(trees, row):

predictions = [predict(tree, row) for tree in trees]

return max(set(predictions), key=predictions.count)

# Random Forest Algorithm

def random_forest(train, test, max_depth, min_size, sample_size, n_trees, n_features):

trees = list()

for i in range(n_trees):

sample = subsample(train, sample_size)

tree = build_tree(sample, max_depth, min_size, n_features)

trees.append(tree)

predictions = [bagging_predict(trees, row) for row in test]

return(predictions)

# Test the random forest algorithm

seed(2)

filename = 'sonar.all-data.csv'

# convert string attributes to integers

for i in range(0, len(dataset[0])-1):

str_column_to_float(dataset, i)

# convert class column to integers

str_column_to_int(dataset, len(dataset[0])-1)

# evaluate algorithm

n_folds = 5

max_depth = 10

min_size = 1

sample_size = 1.0

n_features = int(sqrt(len(dataset[0])-1))

for n_trees in [1, 5, 10]:

scores = evaluate_algorithm(dataset, random_forest, n_folds, max_depth, min_size, sample_size, n_trees, n_features)

print('Trees: %d' % n_trees)

print('Scores: %s' % scores)

print('Mean Accuracy: %.3f%%' % (sum(scores)/float(len(scores))))