generated from LufsX/Experiment-LogReg
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import numpy as np
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import numpy as np
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import pandas as pd
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from sklearn.preprocessing import StandardScaler
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from sklearn.preprocessing import StandardScaler
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from sklearn.model_selection import train_test_split, KFold
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"""
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实验说明:
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- 自行编写实现数据加载与预测病马死亡的对率回归算法。
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注意事项:
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- 在 function.py 中实现对率回归算法。
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- 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。
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- 自动评测脚本仅会加载 train_logreg、predict_logreg 和 load_data 函数,请勿修改函数名。
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测评环境:
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- CPU: Intel Xeon(R) CPU E3-1231 v3 @ 3.40GHz
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- OS: Ubuntu 22.04.4 LTS
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- Python: 3.10.12
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- numpy: 2.1.1
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"""
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# 请在这里填写学号和姓名,不填写即成绩无效。
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id = "202210423130"
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id = "202210423130"
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name = "董秋"
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name = "董秋"
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def sigmoid(z):
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def sigmoid(z):
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"""Sigmoid 激活函数。"""
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"""Sigmoid 激活函数。"""
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return 1 / (1 + np.exp(-z))
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return 1 / (1 + np.exp(-z))
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def train_logreg(X, y, learning_rate=0.1, iterations=2000, lambda_reg=0.01, batch_size=32):
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"""逻辑回归训练函数,随机初始化权重,并在每次迭代前打乱数据。"""
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def train_logreg(X, y, learning_rate=0.01, iterations=1000, lambda_reg=0.01):
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"""
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对率回归训练函数。
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Args:
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- X (numpy array): 特征数据。
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- y (numpy array): 标签数据。
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- learning_rate (float): 学习率。
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- iterations (int): 迭代次数。
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- lambda_reg (float): L2正则化参数。
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Returns:
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- numpy array: 训练得到的权重。
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"""
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m, n = X.shape
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m, n = X.shape
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weights = np.random.randn(n) * 0.01 # 随机初始化权重,取较小值
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weights = np.random.randn(n) * 0.01 # 随机初始化权重
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for i in range(iterations):
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for _ in range(iterations):
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# 每次迭代打乱数据
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z = np.dot(X, weights)
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indices = np.random.permutation(m)
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predictions = sigmoid(z)
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X = X[indices]
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gradient = np.dot(X.T, (predictions - y)) / m
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y = y[indices]
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for j in range(0, m, batch_size): # 按照 batch size 迭代
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# L2正则化
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X_batch = X[j:j + batch_size]
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gradient += (lambda_reg / m) * weights
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y_batch = y[j:j + batch_size]
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z = np.dot(X_batch, weights)
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# 更新权重
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predictions = sigmoid(z)
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weights -= learning_rate * gradient
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gradient = np.dot(X_batch.T, (predictions - y_batch)) / X_batch.shape[0]
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# L2正则化
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gradient += (lambda_reg / m) * weights
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# 更新权重
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weights -= learning_rate * gradient
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# 动态调整学习率,逐渐减小
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if i % 100 == 0: # 每100次迭代输出一次学习率
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print(f"Iteration {i}, Learning Rate: {learning_rate}")
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return weights
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return weights
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def predict_logreg(inX, weights):
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def predict_logreg(inX, weights):
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"""逻辑回归预测函数。"""
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"""
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对率回归预测函数。
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Args:
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- inX (numpy array): 输入待分类的样本。
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- weights (numpy array): 训练得到的权重。
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Returns:
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- int: 预测的分类标签。
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"""
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z = np.dot(inX, weights)
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z = np.dot(inX, weights)
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prediction_prob = sigmoid(z)
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prediction_prob = sigmoid(z)
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return 1 if prediction_prob >= 0.5 else 0
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return 1 if prediction_prob >= 0.5 else 0
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def load_data(filepath):
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def load_data(filepath):
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"""加载数据并处理缺失值。"""
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"""
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从文件中加载数据,若不自行正确实现,则无法通过评测,**不记录成绩**。
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Args:
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- directory (str): 数据文件路径。
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Returns:
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- np.array: 特征数据。
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- np.array: 标签数据。
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"""
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data = []
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data = []
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labels = []
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labels = []
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@@ -57,7 +93,7 @@ def load_data(filepath):
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values = line.strip().replace('?', '0').split()
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values = line.strip().replace('?', '0').split()
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try:
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try:
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values = [float(v) for v in values]
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values = [float(v) for v in values]
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# 合并特征23的取值
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# 合并特征23的取值
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if values[22] == 2 or values[22] == 3: # 特征23(索引22)
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if values[22] == 2 or values[22] == 3: # 特征23(索引22)
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labels.append(0) # 死亡
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labels.append(0) # 死亡
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@@ -65,62 +101,25 @@ def load_data(filepath):
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labels.append(1) # 生存
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labels.append(1) # 生存
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else:
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else:
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continue # 无效标签,丢弃
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continue # 无效标签,丢弃
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# 用0填充缺失值
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# 用0填充缺失值
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values = [0 if v == 0 else v for v in values] # 直接用0填充
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values = [0 if v == 0 else v for v in values] # 直接用0填充
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data.append(values[:2] + values[3:23]) # 保留特征1, 2 和特征4-23
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data.append(values[:2] + values[3:23]) # 保留特征1, 2 和特征4-23
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except ValueError:
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except ValueError:
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continue
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continue
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data = np.array(data)
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return np.array(data), np.array(labels)
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labels = np.array(labels)
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return data, labels
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def preprocess_data(X):
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"""特征标准化。"""
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scaler = StandardScaler()
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return scaler.fit_transform(X)
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if __name__ == "__main__":
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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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# 加载训练集
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# 加载训练集
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X_train, y_train = load_data("./data/horse-colic.data")
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X_train, y_train = load_data("./data/horse-colic.data")
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# 归一化训练集
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X_train = preprocess_data(X_train)
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# 加载测试集
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# 加载测试集
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X_test, y_test = load_data("./data/horse-colic.test")
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X_test, y_test = load_data("./data/horse-colic.test")
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# 归一化测试集
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# 训练对率回归模型
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X_test = preprocess_data(X_test)
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# 使用 train_test_split 打乱并随机抽取数据
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X_train, X_val, y_train, y_val = train_test_split(X_train, y_train, test_size=0.2, random_state=42)
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# K折交叉验证
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k = 5
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kf = KFold(n_splits=k, shuffle=True, random_state=42)
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accuracies = []
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for train_index, val_index in kf.split(X_train):
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X_train_kf, X_val_kf = X_train[train_index], X_train[val_index]
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y_train_kf, y_val_kf = y_train[train_index], y_train[val_index]
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# 训练逻辑回归模型,设置 batch size
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batch_size = 32
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weights = train_logreg(X_train_kf, y_train_kf, learning_rate=0.1, iterations=2000, lambda_reg=0.01, batch_size=batch_size)
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# 验证模型
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val_predictions = [predict_logreg(X_val_kf[i], weights) for i in range(len(X_val_kf))]
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accuracy = np.mean(val_predictions == y_val_kf)
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accuracies.append(accuracy)
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# 输出交叉验证的准确率和平均准确率
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print(f"K折交叉验证得分: {accuracies}")
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print(f"平均准确率: {np.mean(accuracies)}")
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# 训练逻辑回归模型
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weights = train_logreg(X_train, y_train, learning_rate=0.01, iterations=1000)
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weights = train_logreg(X_train, y_train, learning_rate=0.01, iterations=1000)
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# 测试单个数据
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# 测试单个数据
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