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。 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 = "202210423203" name = "赵昊龙" def classify(input_vector, dataSet, labels, k=3): """ 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。 Returns: - int: 预测的分类标签。 """ # 欧式距离 diffMat = np.tile(input_vector, (dataSet.shape[0], 1)) - dataSet sqDiffMat = diffMat**2 sqDistances = sqDiffMat.sum(axis=1) distances = sqDistances**0.5 sortedDistIndices = distances.argsort() # 取出距离最近的k个点的标签 classCount = {} for i in range(k): voteIlabel = labels[sortedDistIndices[i]] # 统计每个类别的出现次数 classCount[voteIlabel] = classCount.get(voteIlabel, 0) + 1 # 选择出现次数最多的类别作为预测标签 sortedClassCount = sorted(classCount.items(), key=lambda x: x[1], reverse=True) return sortedClassCount[0][0] def load_dataset(directory): """ 从文件夹中加载数据。 Args: - directory (str): 数据文件夹路径。 Returns: - np.array: 特征数据。 - np.array: 标签数据。 """ fileList = os.listdir(directory) m = len(fileList) dataSet = np.zeros((m, 1024)) # 28*28的二值图像数据 labels = [] for i in range(m): filename = fileList[i] fileWithPath = os.path.join(directory, filename) vector = img_to_vector(fileWithPath) dataSet[i, :] = vector label = int(filename.split('.')[0]) # 假设文件名的格式为"数字.txt" labels.append(label) return dataSet, np.array(labels) def img_to_vector(filename): """ 将二值图像转换为向量。 Args: - filename (str): 图像文件路径。 Returns: - np.array: 二值图像向量。 """ returnVect = np.zeros((1024,)) # 28*28的二值图像数据 with open(filename, 'r') as file: lines = file.readlines() n = 0 for line in lines: for i in range(len(line)-1): returnVect[n] = int(line[i]) n = n + 1 return returnVect if __name__ == "__main__": 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" ) predicted_label = classify( np.array([int(char) for char in test_data]).reshape(1, 1024), train_data, train_labels, ) print(f"预测的标签: {predicted_label}")