更新 function.py
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2024-10-08 23:02:38 +08:00
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@@ -40,94 +40,68 @@ name = "章程鸿"
# 这里写自己的代码实现
import numpy as np
from sklearn.neighbors import KNeighborsClassifier
from sklearn.model_selection import GridSearchCV
def mahalanobis_distance(x, y, cov_inv):
"""
计算两个向量之间的马氏距离。
Args:
- x (numpy array): 向量1。
- y (numpy array): 向量2。
- cov_inv (numpy array): 协方差矩阵的逆矩阵。
Returns:
- float: 马氏距离。
"""
diff = x - y
return np.sqrt(np.dot(np.dot(diff, cov_inv), diff.T))
def load_data(file_path):
"""
加载 TSV 格式数据文件。
Args:
- file_path (str): 数据文件路径。
Returns:
- tuple: 特征和标签。
"""
data = np.loadtxt(file_path, delimiter="\t")
features = data[:, :-1]
labels = data[:, -1].astype(int)
return features, labels
def normalize_min_max(data):
"""
对数据进行最小-最大缩放归一化。
Args:
- data (numpy array): 待归一化的数据。
Returns:
- tuple: 归一化后的数据、最小值、最大值。
"""
min_vals = data.min(0)
max_vals = data.max(0)
ranges = max_vals - min_vals
# 避免除以零的情况
ranges[ranges == 0.0] = 1.0
norm_data = (data - min_vals) / ranges
return norm_data, min_vals, max_vals
if __name__ == "__main__":
# 以下代码可用于测试,可自行随意修改
train_file = "datingTrainSet2.tsv"
# 加载训练数据
train_data, train_labels = load_data(train_file)
# 归一化训练数据,并获取最小值和最大值
train_data_normalized, min_vals, max_vals = normalize_min_max(train_data)
# 计算协方差矩阵及其逆矩阵
cov_matrix = np.cov(train_data_normalized, rowvar=False)
inv_cov_matrix = np.linalg.inv(cov_matrix)
# 定义KNN分类器,使用自定义的马氏距离
knn = KNeighborsClassifier(metric=lambda x, y: mahalanobis_distance(x, y, inv_cov_matrix))
# 定义要搜索的k值范围
param_grid = {'n_neighbors': list(range(1, 31))}
# 使用GridSearchCV进行网格搜索
grid_search = GridSearchCV(knn, param_grid, cv=10, scoring='accuracy')
grid_search.fit(train_data_normalized, train_labels)
# 获取最佳的k值
optimal_k = grid_search.best_params_['n_neighbors']
print("Optimal k:", optimal_k)
# 使用最佳k值进行预测
best_knn = KNeighborsClassifier(n_neighbors=optimal_k, metric=lambda x, y: mahalanobis_distance(x, y, inv_cov_matrix))
best_knn.fit(train_data_normalized, train_labels)
# 测试数据点也需要用同样的方式归一化
test_point = np.array([65915, 3.868359, 0.128078])
test_point_normalized = (test_point - min_vals) / (max_vals - min_vals)
# 使用归一化后的数据进行预测
predicted_label = best_knn.predict([test_point_normalized])
import numpy as np
from sklearn.model_selection import GridSearchCV
from sklearn.neighbors import KNeighborsClassifier
def load_data(file_path):
"""
加载 TSV 格式数据文件。
"""
data = np.loadtxt(file_path, delimiter="\t")
features = data[:, :-1]
labels = data[:, -1].astype(int)
return features, labels
def normalize_min_max(data):
"""
对数据进行最小-最大缩放归一化。
Args:
- data (numpy array): 待归一化的数据。
Returns:
- numpy array: 归一化后的数据。
- numpy array: 最小值。
- numpy array: 最大值。
"""
min_vals = data.min(0)
max_vals = data.max(0)
ranges = max_vals - min_vals
ranges[ranges == 0.0] = 1.0 # 避免除以零
norm_data = (data - min_vals) / ranges
return norm_data, min_vals, max_vals
if __name__ == "__main__":
train_file = "datingTrainSet2.tsv"
test_file = "datingTestSet2.tsv" # 假设您有一个测试集文件
# 加载训练和测试数据
train_data, train_labels = load_data(train_file)
test_data, test_labels = load_data(test_file)
# 归一化训练和测试数据
train_data_normalized, min_vals, max_vals = normalize_min_max(train_data)
test_data_normalized = (test_data - min_vals) / (max_vals - min_vals)
# 定义KNN分类器
knn = KNeighborsClassifier()
# 定义要搜索的k值范围
param_grid = {'n_neighbors': list(range(1, 31))}
# 使用GridSearchCV进行网格搜索
grid_search = GridSearchCV(knn, param_grid, cv=10, scoring='accuracy')
grid_search.fit(train_data_normalized, train_labels)
# 获取最佳的k值
optimal_k = grid_search.best_params_['n_neighbors']
print("Optimal k:", optimal_k)
# 使用最佳k值进行预测
best_knn = KNeighborsClassifier(n_neighbors=optimal_k)
best_knn.fit(train_data_normalized, train_labels)
# 对测试数据进行预测
predicted_labels = best_knn.predict(test_data_normalized)
print("预测的分类标签是:", predicted_label[0])