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2024-10-16 22:10:25 +08:00
parent 2339718a6d
commit eff8dfd6d9
+27 -15
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@@ -5,7 +5,8 @@ from collections import Counter
id = "202210423104" id = "202210423104"
name = "张钦诚" name = "张钦诚"
def classify0(inX, dataSet, labels, k=5):
def classify0(inX, dataSet, labels, k=1):
""" """
加权 kNN 分类算法。 加权 kNN 分类算法。
@@ -13,7 +14,7 @@ def classify0(inX, dataSet, labels, k=5):
- inX (list or numpy array): 输入待分类的样本。 - inX (list or numpy array): 输入待分类的样本。
- dataSet (numpy array): 训练数据集。 - dataSet (numpy array): 训练数据集。
- labels (list or numpy array): 训练集对应的标签。 - labels (list or numpy array): 训练集对应的标签。
- k (int): kNN 算法参数,默认值为5。 - k (int): kNN 算法参数,默认值为1。
Returns: Returns:
- int: 预测的分类标签。 - int: 预测的分类标签。
@@ -24,13 +25,23 @@ def classify0(inX, dataSet, labels, k=5):
# 获取距离最小的k个样本的索引 # 获取距离最小的k个样本的索引
nearest_indices = np.argpartition(distances, k)[:k] nearest_indices = np.argpartition(distances, k)[:k]
nearest_labels = labels[nearest_indices] nearest_labels = labels[nearest_indices]
nearest_distances = distances[nearest_indices]
# 计算权重,距离越近权重越大 if k == 1:
weights = 1 / (nearest_distances + 1e-5) # 防止除以零 # 如果k=1,直接返回最近邻的标签
# 使用 np.bincount 进行加权统计 return nearest_labels[0]
label_weights = np.bincount(nearest_labels, weights=weights) else:
# 返回权重最大的标签 # 加权 kNN
return np.argmax(label_weights) nearest_distances = distances[nearest_indices]
weights = 1 / (nearest_distances + 1e-5) # 防止除以零
label_weights = {}
for label, weight in zip(nearest_labels, weights):
if label in label_weights:
label_weights[label] += weight
else:
label_weights[label] = weight
# 返回权重最大的标签
return max(label_weights.items(), key=lambda x: x[1])[0]
def load_data(file_path): def load_data(file_path):
""" """
@@ -47,6 +58,7 @@ def load_data(file_path):
labels = data[:, -1].astype(int) labels = data[:, -1].astype(int)
return features, labels return features, labels
def standardize(train_data, test_data): def standardize(train_data, test_data):
""" """
对训练数据和测试数据进行标准化处理。 对训练数据和测试数据进行标准化处理。
@@ -56,15 +68,15 @@ def standardize(train_data, test_data):
- test_data (numpy array): 测试数据集。 - test_data (numpy array): 测试数据集。
Returns: Returns:
- tuple: (标准化后的训练数据, 标准化后的测试数据) - tuple: (标准化后的训练数据, 标准化后的测试数据, 均值, 标准差)
""" """
mean = np.mean(train_data, axis=0) mean = np.mean(train_data, axis=0)
std = np.std(train_data, axis=0) std = np.std(train_data, axis=0)
# 防止标准差为零 std[std == 0] = 1 # 防止标准差为零
std[std == 0] = 1
train_standardized = (train_data - mean) / std train_standardized = (train_data - mean) / std
test_standardized = (test_data - mean) / std test_standardized = (test_data - mean) / std
return train_standardized, test_standardized return train_standardized, test_standardized, mean, std
if __name__ == "__main__": if __name__ == "__main__":
train_file = "datingTrainSet2.tsv" train_file = "datingTrainSet2.tsv"
@@ -76,12 +88,12 @@ if __name__ == "__main__":
test_data, test_labels = load_data(test_file) test_data, test_labels = load_data(test_file)
# 数据标准化 # 数据标准化
train_data, test_data = standardize(train_data, test_data) train_data, test_data, mean, std = standardize(train_data, test_data)
# 测试样本 # 测试样本
test_sample = [65915, 3.868359, 0.128078] test_sample = [65915, 3.868359, 0.128078]
# 标准化测试样本 # 标准化测试样本
test_sample = (np.array(test_sample) - np.mean(train_data, axis=0)) / np.std(train_data, axis=0) test_sample = (np.array(test_sample) - mean) / std
# 预测标签 # 预测标签
predicted_label = classify0(test_sample, train_data, train_labels) predicted_label = classify0(test_sample, train_data, train_labels)