完成作业3.3.2

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# -*- coding: utf-8 -*-
"""
可视化工具 - 展示神经网络各层的输出
用于课堂教学,让学生直观理解:
1. 输入图像长什么样
2. 第一层隐藏层学到了什么特征
3. 各层激活值的变化
使用方法:
python visualize.py # 可视化测试集前5张
python visualize.py --single # 可视化单张图片
"""
import numpy as np
from PIL import Image
import os
import sys
import matplotlib
matplotlib.use('Agg') # 无头模式,不显示图形
import matplotlib.pyplot as plt
def visualize_input_image(img_vector, save_path='visualizations/input.png'):
"""把784维向量还原成28x28图像并保存"""
img = img_vector.reshape(28, 28) * 255
img = img.astype(np.uint8)
Image.fromarray(img).save(save_path)
return save_path
def visualize_activations(model, img_vector, save_dir='visualizations'):
"""
可视化网络各层的激活值
"""
os.makedirs(save_dir, exist_ok=True)
# 前向传播获取各层激活值
model.forward(img_vector.reshape(1, -1))
# 1. 保存输入图像
visualize_input_image(img_vector, os.path.join(save_dir, '01_input.png'))
# 2. 可视化第一层激活(隐藏层)
hidden_activations = model.a1[0] # (128,)
visualize_hidden_layer(hidden_activations, os.path.join(save_dir, '02_hidden.png'))
# 3. 可视化输出层概率
output_probs = model.probs[0] # (10,)
visualize_output_prob(output_probs, os.path.join(save_dir, '03_output_prob.png'))
# 4. 生成汇总图
create_summary_image(img_vector, hidden_activations, output_probs, save_dir)
return save_dir
def visualize_hidden_layer(activations, save_path):
"""
可视化隐藏层激活值
把128个神经元的激活值排成8x16网格显示
"""
grid_cols = 16
grid_rows = 8
cell_size = 24
img_h = grid_rows * cell_size
img_w = grid_cols * cell_size
grid = np.ones((img_h, img_w)) * 255
for i, act in enumerate(activations):
row = i // grid_cols
col = i % grid_cols
intensity = max(0, min(1, act * 2))
color = int(255 * (1 - intensity * 0.7))
grid[row*cell_size:(row+1)*cell_size-1, col*cell_size:(col+1)*cell_size-1] = color
Image.fromarray(grid.astype(np.uint8)).save(save_path)
def visualize_output_prob(probs, save_path):
"""可视化输出层概率分布"""
fig, ax = plt.subplots(figsize=(8, 4))
digits = list(range(10))
colors = ['#3498db' if i != np.argmax(probs) else '#e74c3c' for i in digits]
bars = ax.bar(digits, probs, color=colors)
ax.set_xlabel('数字', fontsize=12)
ax.set_ylabel('概率', fontsize=12)
ax.set_title('输出层:各数字的预测概率', fontsize=14)
ax.set_xticks(digits)
ax.set_ylim(0, 1)
max_idx = np.argmax(probs)
ax.annotate(f'{probs[max_idx]:.1%}',
xy=(max_idx, probs[max_idx]),
ha='center', va='bottom', fontsize=10, color='#e74c3c', fontweight='bold')
plt.tight_layout()
plt.savefig(save_path, dpi=100, bbox_inches='tight')
plt.close()
def create_summary_image(img_vector, hidden_activations, output_probs, save_dir):
"""创建汇总图"""
fig = plt.figure(figsize=(14, 6))
# 1. 输入图像
ax1 = fig.add_subplot(2, 4, 1)
ax1.imshow(img_vector.reshape(28, 28), cmap='gray')
ax1.set_title('(1) Input Image\n(28x28 pixels)', fontsize=11)
ax1.axis('off')
# 2. 像素值分布
ax2 = fig.add_subplot(2, 4, 2)
ax2.hist(img_vector, bins=30, color='#3498db', alpha=0.7, edgecolor='white')
ax2.set_title('(2) Pixel Value Distribution\n(normalized 0~1)', fontsize=11)
ax2.set_xlabel('像素值')
ax2.set_ylabel('频数')
# 3. 隐藏层激活(热力图)
ax3 = fig.add_subplot(2, 4, 3)
# 128 = 8 × 16
act_2d = hidden_activations.reshape(8, 16)
im = ax3.imshow(act_2d, cmap='Blues', aspect='auto')
ax3.set_title(f'(3) Hidden Layer\n(128 neurons)', fontsize=11)
ax3.axis('off')
plt.colorbar(im, ax=ax3, shrink=0.6)
# 4. 隐藏层激活(条形图)
ax4 = fig.add_subplot(2, 4, 4)
ax4.bar(range(len(hidden_activations)), hidden_activations, color='#3498db', alpha=0.7)
ax4.set_title('(4) Neuron Activations', fontsize=11)
ax4.set_xlabel('神经元编号')
ax4.set_ylabel('激活强度')
# 5. 输出概率
ax5 = fig.add_subplot(2, 4, 5)
digits = list(range(10))
colors = ['#3498db' if i != np.argmax(output_probs) else '#e74c3c' for i in digits]
ax5.bar(digits, output_probs, color=colors)
ax5.set_title('(5) Output Probabilities', fontsize=11)
ax5.set_xlabel('数字')
ax5.set_ylabel('概率')
ax5.set_ylim(0, 1)
ax5.set_xticks(digits)
# 6. 最大概率
ax6 = fig.add_subplot(2, 4, 6)
ax6.axis('off')
predicted = np.argmax(output_probs)
confidence = output_probs[predicted]
result_text = f'预测: {predicted}\n置信度: {confidence:.1%}'
ax6.text(0.5, 0.5, result_text, fontsize=24, ha='center', va='center',
bbox=dict(boxstyle='round', facecolor='#2ecc71', alpha=0.9),
transform=ax6.transAxes, color='white', fontweight='bold')
ax6.set_title('(6) Recognition Result', fontsize=11)
# 7. 网络结构
ax7 = fig.add_subplot(2, 4, 7)
ax7.axis('off')
structure_text = (
'┌─────────────────┐\n'
'│ 输入层 784 │\n'
'│ (28×28展平) │\n'
'└────────┬────────┘\n'
'\n'
' 线性变换+ReLU\n'
'\n'
'┌────────┴────────┐\n'
'│ 隐藏层 128 │\n'
'│ (特征提取) │\n'
'└────────┬────────┘\n'
'\n'
' 线性变换+Softmax\n'
'\n'
'┌────────┴────────┐\n'
'│ 输出层 10 │\n'
'│ (数字0~9概率) │\n'
'└─────────────────┘'
)
ax7.text(0.1, 0.95, structure_text, fontsize=9, va='top',
family='monospace', transform=ax7.transAxes,
bbox=dict(boxstyle='round', facecolor='#f8f9fa', alpha=0.9))
ax7.set_title('(7) Network Structure', fontsize=11)
# 8. 参数量说明
ax8 = fig.add_subplot(2, 4, 8)
ax8.axis('off')
params_text = (
'MLP 参数量计算:\n\n'
'W1: 784 × 128 = 100,352\n'
'b1: 128\n\n'
'W2: 128 × 10 = 1,280\n'
'b2: 10\n\n'
'─────────────────\n'
'总计: 101,770 参数\n\n'
'全部用 NumPy 实现\n'
'无需任何深度学习框架!'
)
ax8.text(0.1, 0.95, params_text, fontsize=10, va='top',
family='monospace', transform=ax8.transAxes)
ax8.set_title('(8) Parameters', fontsize=11)
plt.suptitle('MLP Feature Maps Visualization - Handwritten Digits', fontsize=16, fontweight='bold', y=1.02)
plt.tight_layout()
plt.savefig(os.path.join(save_dir, 'summary.png'), dpi=120, bbox_inches='tight')
plt.close()
def load_model_or_train():
"""加载已训练的模型,如果没有则训练一个"""
import glob
model_files = glob.glob('mnist_mlp_*.npy')
if model_files:
timestamps = sorted(set(
f.replace('mnist_mlp_', '').replace('_W1.npy', '')
for f in model_files if '_W1.npy' in f
))
if timestamps:
model_path = 'mnist_mlp_' + timestamps[-1]
print(f"加载模型: {model_path}")
from model_numpy import MLP
model = MLP(input_size=784, hidden_size=128, num_classes=10, learning_rate=0.1)
model.W1 = np.load(f'{model_path}_W1.npy')
model.b1 = np.load(f'{model_path}_b1.npy')
model.W2 = np.load(f'{model_path}_W2.npy')
model.b2 = np.load(f'{model_path}_b2.npy')
return model
# 没有模型,用sklearn快速训练一个用于演示
print("未找到已训练模型,使用sklearn数据快速训练演示模型...")
from sklearn.datasets import fetch_openml
from sklearn.model_selection import train_test_split
mnist = fetch_openml('mnist_784', version=1, as_frame=False, parser='auto')
X = mnist.data[:10000].astype(np.float32) / 255.0
y = mnist.target[:10000].astype(int)
# 用sklearn的MLP代替
from sklearn.neural_network import MLPClassifier
model = MLPClassifier(
hidden_layer_sizes=(128,),
max_iter=20,
alpha=1e-4,
solver='sgd',
learning_rate_init=0.1,
random_state=42,
verbose=False
)
model.fit(X, y)
print("sklearn模型训练完成(仅用于可视化演示)")
return model
def main():
"""主函数"""
os.makedirs('visualizations', exist_ok=True)
# 加载数据
from dataset import load_data
print("加载MNIST数据集...")
X_train, y_train, X_test, y_test = load_data()
# 加载模型
model = load_model_or_train()
# 获取真实标签
if len(y_test.shape) > 1:
y_test_labels = np.argmax(y_test, axis=1)
else:
y_test_labels = y_test
# 可视化测试集前5张
print("\n可视化测试集前5张图片...")
for i in range(5):
img = X_test[i]
true_label = y_test_labels[i]
sub_dir = f'visualizations/sample_{i}_true{true_label}'
os.makedirs(sub_dir, exist_ok=True)
if hasattr(model, 'predict_proba'):
probs = model.predict_proba(img.reshape(1, -1))[0]
predicted = np.argmax(probs)
else:
predicted = model.predict(img.reshape(1, -1))[0]
print(f" 样本{i}: 真实={true_label}, 预测={predicted}")
visualize_activations(model, img, sub_dir)
# 创建对比汇总
create_comparison_summary(X_test[:5], y_test_labels[:5], model, 'visualizations')
print("\n✅ 可视化完成!")
print(" 查看 visualizations/ 目录下的图片和汇总图")
def create_comparison_summary(X_samples, y_true, model, save_dir):
"""创建多个样本的对比汇总图"""
n_samples = len(X_samples)
fig = plt.figure(figsize=(4 * n_samples, 8))
for i in range(n_samples):
img = X_samples[i]
true_label = y_true[i]
if hasattr(model, 'predict_proba'):
probs = model.predict_proba(img.reshape(1, -1))[0]
predicted = np.argmax(probs)
else:
predicted = model.predict(img.reshape(1, -1))[0]
# 输入图像
ax = fig.add_subplot(3, n_samples, i + 1)
ax.imshow(img.reshape(28, 28), cmap='gray')
ax.set_title(f'真实: {true_label}', fontsize=12)
ax.axis('off')
# 隐藏层激活
ax = fig.add_subplot(3, n_samples, i + 1 + n_samples)
model.forward(img.reshape(1, -1))
# 128 = 8 × 16
hidden = model.a1[0].reshape(8, 16)
ax.imshow(hidden, cmap='Blues', aspect='auto')
ax.set_title(f'隐藏层激活', fontsize=10)
ax.axis('off')
# 输出概率
ax = fig.add_subplot(3, n_samples, i + 1 + 2*n_samples)
digits = list(range(10))
colors = ['#e74c3c' if d == predicted else '#3498db' for d in digits]
ax.bar(digits, probs, color=colors)
ax.set_title(f'预测: {predicted}', fontsize=12)
ax.set_ylim(0, 1)
ax.set_xticks(digits)
ax.tick_params(labelsize=8)
plt.suptitle('多样本特征图对比', fontsize=16, fontweight='bold')
plt.tight_layout()
plt.savefig(os.path.join(save_dir, 'comparison.png'), dpi=120, bbox_inches='tight')
plt.close()
if __name__ == '__main__':
main()