import numpy as np import os from sklearn.preprocessing import StandardScaler from sklearn.neighbors import KDTree """ 请在这里填写学号和姓名,不填写即成绩无效。 """ id = "202210423213" name = "熊浩燃" """ 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。 """ def classify(input_vector, dataSet, labels, k=1, distance_metric='euclidean', weighted=True): """ 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 k=1。 - distance_metric (str): 距离度量方法,默认欧氏距离。 - weighted (bool): 是否使用加权投票机制,默认加权。 Returns: - int: 预测的分类标签。 """ if distance_metric == 'euclidean': # 欧氏距离 distances = np.linalg.norm(dataSet - input_vector, axis=1) elif distance_metric == 'manhattan': # 曼哈顿距离 distances = np.sum(np.abs(dataSet - input_vector), axis=1) # 使用KD树加速最近邻查找 tree = KDTree(dataSet) dist, indices = tree.query(input_vector.reshape(1, -1), k=k) nearest_labels = np.array(labels)[indices[0]] if weighted: # 使用距离的倒数作为权重 weights = 1 / (dist[0] + 1e-5) # 避免除以0 label_weights = {} for i, label in enumerate(nearest_labels): label_weights[label] = label_weights.get(label, 0) + weights[i] # 返回加权得分最高的标签 predicted_label = max(label_weights, key=label_weights.get) else: # 直接使用多数投票 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: 标准化后的特征数据。 - 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) data_array = np.array(data_list) # 标准化数据 scaler = StandardScaler() scaled_data = scaler.fit_transform(data_array) return scaled_data, np.array(labels) 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}")