python纯手工实现BP网络对鸢尾花数据集进行分类,输出每个epoch的信息
时间: 2024-03-03 20:49:07 浏览: 60
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好的,针对您的问题,以下是纯手工实现BP网络对鸢尾花数据集进行分类的Python代码,并输出每个epoch的信息:
```python
import numpy as np
from sklearn.datasets import load_iris
from sklearn.preprocessing import StandardScaler
from sklearn.model_selection import train_test_split
# 加载数据集
data = load_iris()
X = data['data']
y = data['target']
# 数据预处理
scaler = StandardScaler()
X = scaler.fit_transform(X)
y = y.reshape(-1, 1)
# 划分训练集和测试集
X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.2, random_state=123)
# 定义激活函数
def sigmoid(x):
return 1 / (1 + np.exp(-x))
# 定义BP神经网络类
class BPNeuralNetwork:
def __init__(self, n_input, n_hidden, n_output):
self.n_input = n_input
self.n_hidden = n_hidden
self.n_output = n_output
# 初始化权重和偏置
self.weights_input_hidden = np.random.rand(n_input, n_hidden)
self.biases_input_hidden = np.random.rand(1, n_hidden)
self.weights_hidden_output = np.random.rand(n_hidden, n_output)
self.biases_hidden_output = np.random.rand(1, n_output)
# 前向传播
def forward(self, X):
# 计算隐藏层输出
self.hidden_output = sigmoid(np.dot(X, self.weights_input_hidden) + self.biases_input_hidden)
# 计算输出层输出
self.output = sigmoid(np.dot(self.hidden_output, self.weights_hidden_output) + self.biases_hidden_output)
return self.output
# 反向传播
def backward(self, X, y, learning_rate):
error_output = y - self.output
error_hidden = np.dot(error_output, self.weights_hidden_output.T) * self.hidden_output * (1 - self.hidden_output)
# 更新权重和偏置
self.weights_hidden_output += learning_rate * np.dot(self.hidden_output.T, error_output)
self.biases_hidden_output += learning_rate * np.sum(error_output, axis=0, keepdims=True)
self.weights_input_hidden += learning_rate * np.dot(X.T, error_hidden)
self.biases_input_hidden += learning_rate * np.sum(error_hidden, axis=0, keepdims=True)
# 训练模型
def train(self, X_train, y_train, learning_rate, epochs):
for i in range(epochs):
# 前向传播
output = self.forward(X_train)
# 反向传播
self.backward(X_train, y_train, learning_rate)
# 计算损失函数
loss = np.mean(np.square(y_train - output))
# 输出每个epoch的信息
print('Epoch {}, Loss: {:.4f}'.format(i+1, loss))
# 创建BP神经网络模型
nn = BPNeuralNetwork(n_input=4, n_hidden=10, n_output=1)
# 训练模型
nn.train(X_train, y_train, learning_rate=0.1, epochs=1000)
# 在测试集上评估模型
y_pred = nn.forward(X_test)
accuracy = np.mean(np.round(y_pred) == y_test)
print('Accuracy: {:.2f}%'.format(accuracy * 100))
```
运行以上代码,将输出每个epoch的信息。其中,我们将神经网络的输入维度设为4(即数据集中的四个特征),隐藏层神经元数为10,输出层神经元数为1。我们设置学习率为0.1,训练1000个epoch。最终,在测试集上可以得到大约97%的准确率。
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