import numpy as np import os id = "202210218225" name = "周水源" 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,默认值为3。 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_indices = distances.argsort()[:k] # 获取这k个样本对应的标签 nearest_labels = labels[nearest_indices] # 统计出现最多的标签 predicted_label = np.bincount(nearest_labels).argmax() return predicted_label 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 = [] file_list = os.listdir(directory) dataSet = np.zeros((len(file_list), 1024)) for i, filename in enumerate(file_list): # 获取文件的标签,假设标签是文件名的第一个字符 label = int(filename.split('_')[0]) labels.append(label) # 将图像转换为向量 dataSet[i, :] = img_to_vector(os.path.join(directory, filename)) 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。 """ img_vector = np.zeros((1, 1024)) with open(filename, 'r') as f: for i in range(32): # 32x32图像 line = f.readline() for j in range(32): img_vector[0, 32 * i + j] = int(line[j]) return img_vector if __name__ == "__main__": # 测试 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}")