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smain.py
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smain.py
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import numpy as np
class Helper:
@staticmethod
def sigmoid(x):
return 1 / (1 + np.exp(-x * 0.1))
@staticmethod
def sigmoid_der(x):
return x * (1 - x)
class Layer:
def __init__(self, previous):
self.prev = previous
def activate(self):
if self.prev:
X = self.prev.activate()
self.Y = Helper.sigmoid(X.dot(self.W))
return self.Y
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answers = [5, 0, 4, 1, 9, 2, 1, 3, 1, 4]
# Конфигурация
q = 0.05
Config = (784, 16, 16, 10)
np.random.seed(15)
# Создание нейронной сети по заданной конфигурации
neural_network = []
for i, amount in enumerate(Config):
prev_layer = None
if len(neural_network) > 0:
prev_layer = neural_network[-1]
neural_network.append(Layer(prev_layer))
if prev_layer:
neural_network[-1].W = np.random.sample((Config[i - 1], amount))
# Загрузка обучающих данных из файла
X = np.array(images) / 255 # Матрица входных данных (10, 784)
R = np.zeros((10, 10))
for i, answer in enumerate(answers):
R[i][answer] = 1 # Матрица правильных ответов (10, 10)
neural_network[0].Y = X
# Обучение
for _ in range(100000):
neural_network[-1].activate() # Активация сети, получение Y (10, 10)
for layer in reversed(neural_network[1:]):
if layer is neural_network[-1]:
layer.E = 2 * (R - layer.Y) # Матрица ошибок выходного слоя (10, 10)
print(np.sum(abs(layer.E)))
dB = layer.E * Helper.sigmoid_der(layer.Y) # Матрица смещений (10, 10)
dW = np.dot(layer.prev.Y.T, dB) # Матрица изменений весов (число нейронов предыдущего слоя , число нейронов текущего слоя)
layer.prev.E = np.dot(dB, layer.W.T) # Матрица ошибок предыдущего слоя (10, число нейронов предыдущего слоя)
layer.W += q * dW # Применение изменений весов
# Проверка
tImages = [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 84, 185, 159, 151, 60, 36, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 222, 254, 254, 254, 254, 241, 198, 198, 198, 198, 198, 198, 198, 198, 170, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 67, 114, 72, 114, 163, 227, 254, 225, 254, 254, 254, 250, 229, 254, 254, 140, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 17, 66, 14, 67, 67, 67, 59, 21, 236, 254, 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tAnswers = [7, 2, 1, 0, 4, 1, 4, 9, 5, 9]
tX = np.array(tImages) / 255
for i in range(10):
neural_network[0].Y = np.array(tX[i])
prediction = neural_network[-1].activate()
result = np.argsort(prediction)[-1]
print(f'Ответ сети: {result}, с вероятностью {prediction[result]*100}%, правильный ответ: {tAnswers[i]}')