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# function.py
import numpy as np
import os
"""
实验说明:
- 自行编写实现数据加载与 kNN 的手写数字分类算法。
- 函数输入: 待分类的样本 input_vector, 训练数据集 dataSet, 训练集对应的标签 labels。
- 函数返回: 预测的分类标签。
"""
参数说明:
- input_vector (numpy array): 输入待分类的样本。
- dataSet (numpy array): 训练数据集。
- labels (list or numpy array): 训练集对应的标签。
- k (int): kNN 算法参数,请**自行设置默认值**,评测时仅会使用其默认值,不修改默认值将**无法通过**评测,**成绩为零**。
返回值:
- int: 预测的分类标签。
"""
# 这里写自己的代码实现
def classify(input_vector, dataSet, labels, k=1):
"""
KNN 分类算法。
Args:
- input_vector (numpy array): 输入待分类的样本。
- dataSet (numpy array): 训练数据集。
- labels (list or numpy array): 训练集对应的标签。
- k (int): kNN 算法参数,请**自行设置默认值**,评测时仅会使用其默认值,不修改默认值将**无法通过**评测,**成绩为零**。
Returns:
- int: 预测的分类标签。
"""
# 计算欧氏距离
distances = np.linalg.norm(dataSet - input_vector, axis=1)
# 获取距离最近的 k 个样本的索引
nearest_neighbors_indices = distances.argsort()[:k]
# 获取这些样本的标签
nearest_labels = np.array(labels)[nearest_neighbors_indices]
# 统计出现次数最多的标签并返回
predicted_label = np.bincount(nearest_labels).argmax()
return predicted_label
# 这里也写自己的代码实现
def load_dataset(directory):
"""
从文件夹中加载数据,若不自行正确实现,则无法通过评测,**不记录成绩**。
Args:
- directory (str): 数据文件夹路径。
Returns:
- np.array: 特征数据。
- np.array: 标签数据。
"""
labels = []
data_list = []
for filename in os.listdir(directory):
if filename.endswith(".txt"): # 确保读取的是 txt 文件
label = int(filename.split('_')[0])
labels.append(label)
vector = img_to_vector(os.path.join(directory, filename))
data_list.append(vector)
return np.array(data_list), np.array(labels)
# 这里还写自己的代码实现
def img_to_vector(filename):
"""
将二值图像转换为向量。
该部分应为 load_dataset 函数的辅助子函数,可单独在这里实现,也可直接集成至 load_dataset 函数中。
Args:
- filename (str): 图像文件路径。
Returns:
- np.array: 二值图像向量。
"""
with open(filename, 'r') as f: # 确保使用文本模式读取
lines = f.readlines()
vector = np.zeros((1024,), dtype=int) # 将其改为 (1024,) 的一维数组
for i in range(32):
for j in range(32):
vector[32 * i + j] = int(lines[i][j])
return vector
if __name__ == "__main__":
# 测试代码
train_data, train_labels = load_dataset("trainingDigits")
test_data = (
"00000000000000110000000000000000"
"00000000000011111000000000000000"
"00000000000011111100000000000000"
"00000000001111111110000000000000"
"00000000001111111110000000000000"
"00000000001111111100000000000000"
"00000000011111111000000000000000"
"00000000111111111000000000000000"
"00000000111111110000000000000000"
"00000000111111110000000000000000"
"00000000111111110000000000000000"
"00000000111111110000000000000000"
"00000000111111100000000000000000"
"00000001111111100000000000000000"
"00000001111111100000000000000000"
"00000001111111100000000000000000"
"00000001111111111111000000000000"
"00000001111111111111111000000000"
"00000001111111111111111100000000"
"00000011111111111111111110000000"
"00000011111111111111111110000000"
"00000001111111111111111110000000"
"00000001111111111111111110000000"
"00000000111111111100111111100000"
"00000000111111111000111111100000"
"00000000011111111001111111100000"
"00000000011111111111111111000000"
"00000000001111111111111111000000"
"00000000000111111111111111000000"
"00000000000011111111111100000000"
"00000000000001111111110000000000"
"00000000000000000111100000000000"
)
test_vector = np.array([int(char) for char in test_data]).reshape(1, 1024)
predicted_label = classify(test_vector, train_data, train_labels)
print(f"预测的标签: {predicted_label}")