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import math | |
import random | |
import pickle | |
import os | |
class NeuralNetwork(): | |
def __init__(self): | |
# Seed the random number generator, so we get the same random numbers each time | |
random.seed(1) | |
# Create 3 weights and set them to random values in the range -1 to +1 | |
self.weights = [random.uniform(-1, 1), random.uniform(-1, 1), random.uniform(-1, 1)] | |
# Make a prediction | |
def think(self, neuron_inputs): | |
sum_of_weighted_inputs = self.__sum_of_weighted_inputs(neuron_inputs) | |
neuron_output = self.__sigmoid(sum_of_weighted_inputs) | |
return neuron_output | |
# Adjust the weights of the neural network to minimise the error for the training set | |
def train(self, training_set_examples, number_of_iterations): | |
for iteration in range(number_of_iterations): | |
for training_set_example in training_set_examples: | |
# Predict the output based on the training set example inputs | |
predicted_output = self.think(training_set_example["inputs"]) | |
# Calculate the error as the difference between the desired output and the predicted output | |
error_in_output = training_set_example["output"] - predicted_output | |
# Iterate through the weights and adjust each one | |
for index in range(len(self.weights)): | |
# Get the neuron's input associated with this weight | |
neuron_input = training_set_example["inputs"][index] | |
# Calculate how much to adjust the weights by using the delta rule (gradient descent) | |
adjust_weight = neuron_input * error_in_output * self.__sigmoid_gradient(predicted_output) | |
# Adjust the weight | |
self.weights[index] += adjust_weight | |
# Calculate the sigmoid (our activation function) | |
def __sigmoid(self, sum_of_weighted_inputs): | |
return 1 / (1 + math.exp(-sum_of_weighted_inputs)) | |
# Calculate the gradient of the sigmoid using its own output | |
def __sigmoid_gradient(self, neuron_output): | |
return neuron_output * (1 - neuron_output) | |
# Multiply each input by its own weight, and then sum the total | |
def __sum_of_weighted_inputs(self, neuron_inputs): | |
sum_of_weighted_inputs = 0 | |
for index, neuron_input in enumerate(neuron_inputs): | |
sum_of_weighted_inputs += self.weights[index] * neuron_input | |
return sum_of_weighted_inputs | |
neural_network = NeuralNetwork() | |
print("Random starting weights: " + str(neural_network.weights)) | |
# The neural network will use this training set of 4 examples, to learn the pattern | |
training_set_examples = [{"inputs": [0, 0, 1], "output": 0}, | |
{"inputs": [1, 1, 1], "output": 1}, | |
{"inputs": [1, 0, 1], "output": 1}, | |
{"inputs": [0, 1, 1], "output": 0}] | |
if os.path.isfile('weights.p'): | |
# Load the weights from previous training | |
with open("weights.p", "rb") as weights_file: | |
neural_network.weights = pickle.load(weights_file) | |
print("Loaded weights from previous training " + str(neural_network.weights)) | |
else: | |
# Train the neural network using 10,000 iterations | |
neural_network.train(training_set_examples, number_of_iterations=100000) | |
print("New weights after training: " + str(neural_network.weights)) | |
# Save the weights | |
with open("weights.p", "wb") as weights_file: | |
pickle.dump(neural_network.weights, weights_file) | |
# Make a prediction for a new situation | |
new_situation = [1, 0, 0] | |
prediction = neural_network.think(new_situation) | |
print("Prediction for the new situation " + str(new_situation) + " -> ? " + str(prediction)) |
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