# function.py import numpy as np from numpy.linalg import inv, det from scipy.stats import mode """ 挑战说明: - 自行编写实现 KNN 分类算法。 - 输入: 待分类的样本 inX, 训练数据集 dataSet, 训练集对应的标签 labels。 - 输出: 预测的分类标签。 注意事项: - 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。 - 在 function.py 中实现 KNN 分类算法。 - 自动评测脚本仅会加载 classify0 函数,请勿修改函数名。 - 训练集在本目录下的 datingTrainSet2.tsv 中。 - 评测数据集在本目录下的 datingTestSet2.tsv 中。 挑战环境: - Ubuntu 22.04.04 LTS - Python 3.10.12 """ """ 请在这里填写学号和姓名,不填写即成绩无效。 """ id = "202210423226" name = "潘宇豪" """ 参数说明: - inX (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。 返回值: - int: 预测的分类标签。 """ def classify0(inX, dataSet, labels, k): """ KNN classification using Mahalanobis distance for fast computation. inX: The input sample to classify dataSet: The training data labels: The corresponding labels for the training data k: The number of nearest neighbors to consider """ # Calculate covariance matrix and its inverse from the dataset cov_matrix = np.cov(dataSet.T) inv_cov_matrix = inv(cov_matrix) # Compute the Mahalanobis distance between inX and all points in the dataset diff = dataSet - inX distances = np.sqrt(np.sum(np.dot(diff, inv_cov_matrix) * diff, axis=1)) # Sort by distance and return the indices of the k nearest neighbors sorted_indices = np.argsort(distances) # Get the labels of the k nearest neighbors k_nearest_labels = [labels[i] for i in sorted_indices[:k]] # Return the most common label among the k nearest neighbors most_common_label = Counter(k_nearest_labels).most_common(1)[0][0] return most_common_label def load_data(file_path): """ 加载TSV格式的数据文件。 参数: - file_path (str): 数据文件的路径。 返回值: - tuple: 包含特征数组和标签数组的元组。 """ features = [] labels = [] with open(file_path, "r") as file: for line in file: values = line.strip().split("\t") features.append([float(x) for x in values[:-1]]) labels.append(int(values[-1])) return np.array(features), np.array(labels) if __name__ == "__main__": train_file = "datingTrainSet2.tsv" train_data, train_labels = load_data(train_file) # 使用一个测试样本进行测试 test_result = classify0([65915, 3.868359, 0.128078], train_data, train_labels, k=3) print("预测结果:", test_result)