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使用深度神经网络对手写数字图像进行识别并打印结果的代码实现,涉及数据加载、预处理及可视化
原始问题:

使用深度神经网络对手写数字图像进行识别并打印结果的代码实现,涉及数据加载、预处理及可视化

首先,我们可以使用深度神经网络来实现手写体数字识别。以下是一个示例代码:

import gzip
import numpy as np
import matplotlib.pyplot as plt

# 加载数据
def load_data():
    with gzip.open('mnist.pkl.gz', 'rb') as f:
        train_data, valid_data, test_data = pickle.load(f, encoding='latin1')
    return train_data, valid_data, test_data

# 可视化图像
def visualize_data(images, labels):
    fig, axes = plt.subplots(2, 5, figsize=(10, 4))
    for i, ax in enumerate(axes.flat):
        ax.imshow(images[i].reshape(28, 28), cmap='binary')
        ax.set_xticks([])
        ax.set_yticks([])
        ax.set_title(labels[i])
    plt.show()

# 标准化图像像素
def normalize_data(data):
    mean = np.mean(data)
    std = np.std(data)
    normalized_data = (data - mean) / std
    return normalized_data

# 打包样本
def pack_samples(images, labels):
    samples = [(image, label) for image, label in zip(images, labels)]
    return samples

# 设计神经网络参数
input_size = 784  # 输入层大小(28x28)
hidden_size = 128  # 隐藏层大小
output_size = 10  # 输出层大小(0-9的数字)

# 加载数据
train_data, valid_data, test_data = load_data()

# 可视化部分数据
visualize_data(train_data[0][:10], train_data[1][:10])

# 标准化数据
train_images = normalize_data(train_data[0])
train_labels = train_data[1]

# 打包样本
train_samples = pack_samples(train_images, train_labels)

# MLP神经网络
class MLP:
    def __init__(self, input_size, hidden_size, output_size):
        self.input_size = input_size
        self.hidden_size = hidden_size
        self.output_size = output_size
        # 初始化权重和偏置
        self.weights1 = np.random.randn(self.input_size, self.hidden_size)
        self.bias1 = np.zeros(self.hidden_size)
        self.weights2 = np.random.randn(self.hidden_size, self.output_size)
        self.bias2 = np.zeros(self.output_size)
    
    def forward(self, x):
        # 前向传播
        self.hidden_layer = np.dot(x, self.weights1) + self.bias1
        self.hidden_activation = self.sigmoid(self.hidden_layer)
        self.output_layer = np.dot(self.hidden_activation, self.weights2) + self.bias2
        self.output_activation = self.softmax(self.output_layer)
        return self.output_activation
    
    def sigmoid(self, x):
        return 1 / (1 + np.exp(-x))
    
    def softmax(self, x):
        exps = np.exp(x - np.max(x))
        return exps / np.sum(exps, axis=1, keepdims=True)
    
    def train(self, x, y, learning_rate=0.1):
        # 反向传播和参数更新
        output = self.forward(x)
        error = output - y
        grad_output = error / x.shape[0]
        grad_weights2 = np.dot(self.hidden_activation.T, grad_output)
        grad_bias2 = np.sum(grad_output, axis=0)
        grad_hidden = np.dot(grad_output, self.weights2.T) * self.sigmoid_derivative(self.hidden_layer)
        grad_weights1 = np.dot(x.T, grad_hidden)
        grad_bias1 = np.sum(grad_hidden, axis=0)
        
        self.weights2 -= learning_rate * grad_weights2
        self.bias2 -= learning_rate * grad_bias2
        self.weights1 -= learning_rate * grad_weights1
        self.bias1 -= learning_rate * grad_bias1
    
    def sigmoid_derivative(self, x):
        return self.sigmoid(x) * (1 - self.sigmoid(x))

# 创建MLP模型
model = MLP(input_size, hidden_size, output_size)

# 训练模型
for epoch in range(10):
    for image, label in train_samples:
        image = image.reshape(1, -1)
        label = np.eye(output_size)[label].reshape(1, -1)
        model.train(image, label)

# 测试模型
test_images = normalize_data(test_data[0])
test_labels = test_data[1]
correct = 0
for image, label in zip(test_images, test_labels):
    image = image.reshape(1, -1)
    output = model.forward(image)
    prediction = np.argmax(output)
    if prediction == label:
        correct += 1

accuracy = correct / len(test_labels)
print("测试集准确率:", accuracy)

这段代码使用了MNIST数据集进行手写体数字识别。首先,通过load_data函数加载数据集,然后使用visualize_data函数可视化部分数据。接下来,使用normalize_data函数对图像像素进行标准化处理。然后,使用pack_samples函数将图像和标签打包成样本。接着,定义了一个MLP类作为神经网络模型,包括前向传播、反向传播和参数更新的方法。最后,创建MLP模型并进行训练和测试。

请注意,这只是一个简单的示例代码,实际应用中可能需要进行更多的调优和改进。

使用深度神经网络对手写数字图像进行识别并打印结果的代码实现,涉及数据加载、预处理及可视化
https://www.aiaiask.com/ask/41220.html
AI / 模型Siliconflow
时间 / DATEJune 30, 2023, 5:40 PM
语言zh-CN
IP / 区域山东 济南