# function.py import numpy as np import os from collections import Counter """ 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。 注意事项: - 在 function.py 中实现 kNN 分类算法。 - 可以自行导入其他库,需要在 requirements.txt 添加依赖,若未在 requirements.txt 中添加使用到的依赖,则无法自动评测,成绩为零。 - 自动评测脚本仅会加载 classify 和 load_data 函数,请勿修改函数名。 - 训练集和测试集需手动下载解压,并放入当前目录下。 测评环境: - CPU: Intel Xeon(R) CPU E3-1231 v3 @ 3.40GHz - OS: Ubuntu 22.04.4 LTS - Python: 3.10.12 - numpy: 2.1.1 """ """ 请在这里填写学号和姓名,不填写即成绩无效。 """ id = "202210423222" name = "邓龙树" """ 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。 """ # KNN 分类算法 def classify(input_vector, dataSet, labels, k=3): # 计算输入向量与训练集中每个样本的距离 distances = [np.linalg.norm(input_vector - data) for data in dataSet] # 根据距离排序并获取前 k 个标签 k_indices = np.argsort(distances)[:k] k_labels = [labels[index] for index in k_indices] # 对 k 个标签进行投票,返回出现次数最多的标签 vote = Counter(k_labels).most_common(1)[0][0] return vote # 从文件夹中加载数据 def load_dataset(directory): feature_list = [] label_list = [] for file in os.listdir(directory): file_path = os.path.join(directory, file) feature = img_to_vector(file_path) label = int(file.split('_')[0]) feature_list.append(feature) label_list.append(label) return np.array(feature_list), np.array(label_list) # 将二值图像转换为向量 def img_to_vector(filename): with open(filename, 'r') as f: return np.array([int(char) for char in f.read().strip()]) if __name__ == "__main__": #加载训练数据 train_data, train_labels = load_dataset("trainingDigits") #测试数据 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" ) # 将测试数据转换为向量 test_vector = np.array([int(char) for char in test_data]).reshape(1, 1024) # 进行分类预测 predicted_label = classify(test_vector, train_data, train_labels) print(f"预测的标签: {predicted_label}")