当前位置:首页>python>【Python时序预测系列】建立DT-LSTM融合模型实现多变量时序预测(案例+源码)

【Python时序预测系列】建立DT-LSTM融合模型实现多变量时序预测(案例+源码)

  • 2026-02-05 01:04:59
【Python时序预测系列】建立DT-LSTM融合模型实现多变量时序预测(案例+源码)

这是我的第450篇原创文章。

写在前面

『数据杂坛』以Python语言为核心,垂直于数据科学领域,专注于(可戳👉)Python程序设计|数据分析|特征工程|机器学习分类|机器学习回归|深度学习分类|深度学习回归|单变量时序预测|多变量时序预测|语音识别|图像识别|自然语音处理|大语言模型|软件设计开发等技术栈交流学习,涵盖数据挖掘计算机视觉自然语言处理等应用领域。(文末有惊喜福利

一、引言

下面通过一个具体的案例,融合DT + LSTM进行多变量输入单变量输出单步时间序列预测,包括模型构建、训练、预测等等。

二、实现过程

2.1 原始数据集加载

核心代码:

df = pd.read_csv('/workspaces/Data-Miscellany-Forum/src/多变量时序预测系列-股票预测/多输入+单输出+单步/data.csv', parse_dates=["Date"], index_col=[0])df = pd.DataFrame(df)var_num = len(df.columns)print(df)

结果:

2.2 数据集划分

核心代码:

test_split=round(len(df)*0.20)df_for_training=df[:-test_split]df_for_testing=df[-test_split:]

2.3 数据归一化

核心代码:

scaler = MinMaxScaler(feature_range=(01))df_for_training_scaled = scaler.fit_transform(df_for_training)df_for_testing_scaled=scaler.transform(df_for_testing)

2.4 构造时序数据集

核心代码:

train_dataset = TimeSeriesDataset(df_for_training_scaled, seq_len=seq_len, pred_len=pred_len)test_dataset = TimeSeriesDataset(df_for_testing_scaled, seq_len=seq_len, pred_len=pred_len)train_loader = DataLoader(train_dataset, batch_size=batch_size, shuffle=True)test_loader = DataLoader(test_dataset, batch_size=batch_size, shuffle=False)

2.5 LSTM模型

核心代码:

class LSTMRegressor(nn.Module):    def __init__(self, input_size=5, hidden_size=50, num_layers=1, output_size=1, dropout=0.2):        """        input_size: 输入特征维度(多变量个数)        hidden_size: LSTM隐藏层维度        num_layers: LSTM层数        """        super(LSTMRegressor, self).__init__()        self.hidden_size = hidden_size        # LSTM层        self.lstm = nn.LSTM(            input_size,             hidden_size,             num_layers,             batch_first=True)        # 全连接层        self.fc = nn.Sequential(            nn.Linear(hidden_size, hidden_size // 2),            nn.ReLU(),            nn.Dropout(dropout),            nn.Linear(hidden_size // 2, output_size)        )    def forward(self, x):        """        x: (batch_size, seq_length, input_dim)        return: (batch_size, output_dim)        """        lstm_out, (hidden, cell) = self.lstm(x)  # lstm_out: (batch, seq, hidden)        last_hidden = lstm_out[:, -1, :]  # (batch, hidden)取最后一个时间步的隐藏状态(或可用 hidden[-1])        out = self.fc(last_hidden)  # (batch, output_dim)        return out

2.6 模型训练与融合增强

核心代码:

model = LSTMRegressor(input_size=var_num, hidden_size=hidden_size, num_layers=num_layers, output_size=pred_len, dropout=dropout).to(device)print("开始训练模型...")loss_history, train_preds, train_trues = train_model(model, train_loader, num_epochs=num_epochs, learning_rate=learning_rate, device=device)# 决策树基于LSTM残差训练residuals = np.array(train_trues).reshape(-11)- np.array(train_preds).reshape(-11)X_tree_train = train_preds.reshape(-11)model_tree = DecisionTreeRegressor(max_depth=3)model_tree.fit(X_tree_train, residuals)

结果:

2.7 模型评估

核心代码:

preds, trues = evaluate_model(model, test_loader, device=device)X_tree_test = preds.reshape(-1, 1)residual_preds = model_tree.predict(X_tree_test)final_preds = preds + residual_preds

2.8 结果可视化

图 1:训练损失曲线

plt.plot(loss_history, marker='o', color='dodgerblue', linestyle='-', linewidth=2)plt.title("Training Loss Curve")plt.xlabel("Epoch")plt.ylabel("MSE Loss")plt.tight_layout()plt.savefig('output_image1.png', dpi=300format='png')plt.show()

结果:

图 2:真实值与预测值对比曲线(LSTM)

plt.plot(trues, label="True Values", color='limegreen')plt.plot(preds, label="Predicted Values", color='crimson')plt.title("True vs. Predicted Values")plt.xlabel("Sample Index")plt.ylabel("Trend Value")plt.legend()plt.tight_layout()plt.savefig('output_image2.png', dpi=300format='png')plt.show()

结果:

图 3:真实值与预测值对比曲线(融合模型)

plt.plot(trues, label="True Values", color='limegreen')plt.plot(final_preds, label="Predicted Values", color='crimson')plt.title("True vs. Predicted Values")plt.xlabel("Sample Index")plt.ylabel("Trend Value")plt.legend()plt.tight_layout()plt.savefig('output_image3.png', dpi=300format='png')plt.show()

结果:

图 4:残差分布图(增强前后)

sns.histplot(trues - preds, color='red', label='LSTM Residuals', kde=True)sns.histplot(trues - final_preds, color='green', label='Hybrid Residuals', kde=True)plt.title("Residual Distribution: LSTM vs Hybrid")plt.legend()plt.tight_layout()plt.savefig('output_image4.png', dpi=300format='png')plt.show()

结果:

2.9 指标计算

核心代码:

def evaluate_metrics(y_true, y_pred):    y_true = y_true.reshape(-1)    y_pred = y_pred.reshape(-1)    eps = 1e-8    mse = np.mean((y_true - y_pred)**2)    rmse = np.sqrt(mse + eps)    mae = np.mean(np.abs(y_true - y_pred))    mape = np.mean(np.abs((y_true - y_pred)/(np.abs(y_true)+eps)))    smape = np.mean(2*np.abs(y_true - y_pred)/(np.abs(y_true)+np.abs(y_pred)+eps))    # R2    ss_res = np.sum((y_true - y_pred)**2)    ss_tot = np.sum((y_true - np.mean(y_true))**2) + eps    r2 = 1 - ss_res/ss_tot    # Pearson    corr = np.corrcoef(y_true, y_pred)[0,1]    return dict(MSE=mse, RMSE=rmse, MAE=mae, MAPE=mape, sMAPE=smape, R2=r2, Corr=corr)

结果:

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读研期间发表6篇SCI数据算法相关论文,目前在某研究院从事数据算法相关研究工作,结合自身科研实践经历不定期持续分享关于Python、数据分析、特征工程、机器学习、深度学习、人工智能系列基础知识与案例。

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  1. CONNECT:[ UseTime:0.000714s ] mysql:host=127.0.0.1;port=3306;dbname=f_mffb;charset=utf8mb4
  2. SHOW FULL COLUMNS FROM `fenlei` [ RunTime:0.000867s ]
  3. SELECT * FROM `fenlei` WHERE `fid` = 0 [ RunTime:0.000314s ]
  4. SELECT * FROM `fenlei` WHERE `fid` = 63 [ RunTime:0.000250s ]
  5. SHOW FULL COLUMNS FROM `set` [ RunTime:0.000530s ]
  6. SELECT * FROM `set` [ RunTime:0.000617s ]
  7. SHOW FULL COLUMNS FROM `article` [ RunTime:0.000578s ]
  8. SELECT * FROM `article` WHERE `id` = 471515 LIMIT 1 [ RunTime:0.006750s ]
  9. UPDATE `article` SET `lasttime` = 1770501520 WHERE `id` = 471515 [ RunTime:0.010955s ]
  10. SELECT * FROM `fenlei` WHERE `id` = 66 LIMIT 1 [ RunTime:0.000929s ]
  11. SELECT * FROM `article` WHERE `id` < 471515 ORDER BY `id` DESC LIMIT 1 [ RunTime:0.000670s ]
  12. SELECT * FROM `article` WHERE `id` > 471515 ORDER BY `id` ASC LIMIT 1 [ RunTime:0.004047s ]
  13. SELECT * FROM `article` WHERE `id` < 471515 ORDER BY `id` DESC LIMIT 10 [ RunTime:0.005815s ]
  14. SELECT * FROM `article` WHERE `id` < 471515 ORDER BY `id` DESC LIMIT 10,10 [ RunTime:0.014659s ]
  15. SELECT * FROM `article` WHERE `id` < 471515 ORDER BY `id` DESC LIMIT 20,10 [ RunTime:0.007515s ]
0.124934s