generated from LufsX/Challenge-kNN
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@@ -40,94 +40,68 @@ name = "章程鸿"
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# 这里写自己的代码实现
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import numpy as np
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from sklearn.neighbors import KNeighborsClassifier
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from sklearn.model_selection import GridSearchCV
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def mahalanobis_distance(x, y, cov_inv):
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"""
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计算两个向量之间的马氏距离。
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Args:
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- x (numpy array): 向量1。
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- y (numpy array): 向量2。
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- cov_inv (numpy array): 协方差矩阵的逆矩阵。
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Returns:
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- float: 马氏距离。
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"""
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diff = x - y
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return np.sqrt(np.dot(np.dot(diff, cov_inv), diff.T))
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def load_data(file_path):
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"""
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加载 TSV 格式数据文件。
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Args:
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- file_path (str): 数据文件路径。
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Returns:
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- tuple: 特征和标签。
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"""
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data = np.loadtxt(file_path, delimiter="\t")
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features = data[:, :-1]
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labels = data[:, -1].astype(int)
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return features, labels
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def normalize_min_max(data):
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"""
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对数据进行最小-最大缩放归一化。
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Args:
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- data (numpy array): 待归一化的数据。
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Returns:
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- tuple: 归一化后的数据、最小值、最大值。
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"""
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min_vals = data.min(0)
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max_vals = data.max(0)
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ranges = max_vals - min_vals
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# 避免除以零的情况
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ranges[ranges == 0.0] = 1.0
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norm_data = (data - min_vals) / ranges
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return norm_data, min_vals, max_vals
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if __name__ == "__main__":
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# 以下代码可用于测试,可自行随意修改
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train_file = "datingTrainSet2.tsv"
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# 加载训练数据
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train_data, train_labels = load_data(train_file)
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# 归一化训练数据,并获取最小值和最大值
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train_data_normalized, min_vals, max_vals = normalize_min_max(train_data)
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# 计算协方差矩阵及其逆矩阵
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cov_matrix = np.cov(train_data_normalized, rowvar=False)
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inv_cov_matrix = np.linalg.inv(cov_matrix)
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# 定义KNN分类器,使用自定义的马氏距离
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knn = KNeighborsClassifier(metric=lambda x, y: mahalanobis_distance(x, y, inv_cov_matrix))
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# 定义要搜索的k值范围
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param_grid = {'n_neighbors': list(range(1, 31))}
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# 使用GridSearchCV进行网格搜索
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grid_search = GridSearchCV(knn, param_grid, cv=10, scoring='accuracy')
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grid_search.fit(train_data_normalized, train_labels)
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# 获取最佳的k值
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optimal_k = grid_search.best_params_['n_neighbors']
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print("Optimal k:", optimal_k)
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# 使用最佳k值进行预测
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best_knn = KNeighborsClassifier(n_neighbors=optimal_k, metric=lambda x, y: mahalanobis_distance(x, y, inv_cov_matrix))
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best_knn.fit(train_data_normalized, train_labels)
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# 测试数据点也需要用同样的方式归一化
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test_point = np.array([65915, 3.868359, 0.128078])
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test_point_normalized = (test_point - min_vals) / (max_vals - min_vals)
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# 使用归一化后的数据进行预测
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predicted_label = best_knn.predict([test_point_normalized])
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import numpy as np
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from sklearn.model_selection import GridSearchCV
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from sklearn.neighbors import KNeighborsClassifier
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def load_data(file_path):
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"""
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加载 TSV 格式数据文件。
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"""
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data = np.loadtxt(file_path, delimiter="\t")
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features = data[:, :-1]
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labels = data[:, -1].astype(int)
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return features, labels
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def normalize_min_max(data):
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"""
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对数据进行最小-最大缩放归一化。
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Args:
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- data (numpy array): 待归一化的数据。
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Returns:
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- numpy array: 归一化后的数据。
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- numpy array: 最小值。
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- numpy array: 最大值。
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"""
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min_vals = data.min(0)
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max_vals = data.max(0)
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ranges = max_vals - min_vals
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ranges[ranges == 0.0] = 1.0 # 避免除以零
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norm_data = (data - min_vals) / ranges
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return norm_data, min_vals, max_vals
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if __name__ == "__main__":
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train_file = "datingTrainSet2.tsv"
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test_file = "datingTestSet2.tsv" # 假设您有一个测试集文件
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# 加载训练和测试数据
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train_data, train_labels = load_data(train_file)
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test_data, test_labels = load_data(test_file)
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# 归一化训练和测试数据
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train_data_normalized, min_vals, max_vals = normalize_min_max(train_data)
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test_data_normalized = (test_data - min_vals) / (max_vals - min_vals)
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# 定义KNN分类器
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knn = KNeighborsClassifier()
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# 定义要搜索的k值范围
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param_grid = {'n_neighbors': list(range(1, 31))}
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# 使用GridSearchCV进行网格搜索
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grid_search = GridSearchCV(knn, param_grid, cv=10, scoring='accuracy')
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grid_search.fit(train_data_normalized, train_labels)
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# 获取最佳的k值
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optimal_k = grid_search.best_params_['n_neighbors']
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print("Optimal k:", optimal_k)
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# 使用最佳k值进行预测
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best_knn = KNeighborsClassifier(n_neighbors=optimal_k)
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best_knn.fit(train_data_normalized, train_labels)
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# 对测试数据进行预测
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predicted_labels = best_knn.predict(test_data_normalized)
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print("预测的分类标签是:", predicted_label[0])
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