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

  • 2026-01-30 01:37:28
【Python时序预测系列】建立CNN-LSTM-Transformer融合模型实现多变量时序预测(案例+源码)

这是我的第449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

CNN(卷积)擅长抓“局部模式”,LSTM(长短时记忆网络)擅长记住“时间上的因果和长期依赖”,Transformer(自注意力)擅长把序列里任意两个时刻相互比较、找全局相关性,而且能并行处理。

融合方式:串联CNN → LSTM → Transformer。先提取局部特征,再用 LSTM 建长期状态,最后用 Transformer 做全局交互。

下面通过一个具体的案例,融合CNN + LSTM + Transformer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 数据加载

核心代码:

    df = pd.read_csv('data.csv', parse_dates=["Date"], index_col=[0])    df = pd.DataFrame(df)

结果:原始数据集总数5203

2.2 数据划分

核心代码:

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

训练集:4162,测试集:1041

2.3 数据归一化

核心代码:

scaler = MinMaxScaler(feature_range=(0,1))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=30, pred_len=1)test_dataset = TimeSeriesDataset(df_for_testing_scaled, seq_len=30, pred_len=1)train_loader = DataLoader(train_dataset, batch_size=batch_size, shuffle=True)test_loader = DataLoader(test_dataset, batch_size=batch_size, shuffle=False)

时序训练集和测试集数组形状:

2.5 CNN_LSTM_Transformer模型

核心代码:

class CNN_LSTM_Transformer(nn.Module):    def __init__(self, input_dim=5, cnn_channels=16, lstm_hidden=32, transformer_dim=32,                 transformer_heads=4, transformer_layers=1, pred_len=1):        super().__init__()        # CNN        self.cnn = nn.Conv1d(in_channels=input_dim, out_channels=cnn_channels, kernel_size=3, padding=1)        self.cnn_relu = nn.ReLU()        # LSTM        self.lstm = nn.LSTM(input_size=cnn_channels, hidden_size=lstm_hidden, batch_first=True)        # Transformer Encoder         encoder_layer = nn.TransformerEncoderLayer(d_model=transformer_dim, nhead=transformer_heads, batch_first=True)        self.transformer = nn.TransformerEncoder(encoder_layer, num_layers=transformer_layers)        # Projection layers        self.proj_lstm = nn.Linear(lstm_hidden, transformer_dim)        self.pred_len = pred_len        self.fc_out = nn.Linear(transformer_dim, pred_len)    def forward(self, x):        # x: [batch, seq_len, 1]        batch_size, seq_len, _ = x.shape        # CNN expects [batch, channels, seq_len]        cnn_out = self.cnn_relu(self.cnn(x.transpose(1,2)))  # [B, C, T]        cnn_out = cnn_out.transpose(1,2)  # [B, T, C]        # LSTM        lstm_out, _ = self.lstm(cnn_out)  # [B, T, hidden]        lstm_proj = self.proj_lstm(lstm_out)  # [B, T, transformer_dim]        # Transformer        trans_out = self.transformer(lstm_proj)  # [B, T, transformer_dim]        # 取最后时间步输出预测        out = self.fc_out(trans_out[:, -1, :])  # [B, pred_len]        return out.unsqueeze(-1)  # [B, pred_len, 1]

2.6 训练模型

核心代码:

def train_model(model, dataloader, num_epochs=50, learning_rate=1e-3, device='cpu'):    optimizer = torch.optim.Adam(model.parameters(), lr=learning_rate)    criterion = nn.MSELoss()    model.train()    loss_history = []    for epoch in range(num_epochs):        epoch_losses = []        for batch_data, batch_targets in dataloader:            batch_data = batch_data.to(device)            batch_targets = batch_targets.to(device)            optimizer.zero_grad()            outputs = model(batch_data)            loss = criterion(outputs, batch_targets)            loss.backward()            optimizer.step()            epoch_losses.append(loss.item())        avg_loss = np.mean(epoch_losses)        loss_history.append(avg_loss)        if (epoch + 1) % 10 == 0:            print(f"Epoch [{epoch + 1}/{num_epochs}], Loss: {avg_loss:.4f}")    return loss_history

结果:

2.7 模型测试集评估

核心代码:

def evaluate_model(model, dataloader, device='cpu'):    model.eval()    preds = []    trues = []    with torch.no_grad():        for batch_data, batch_targets in dataloader:            batch_data = batch_data.to(device)            outputs = model(batch_data)            preds.append(outputs.cpu().numpy())            trues.append(batch_targets.cpu().numpy())    preds = np.concatenate(preds, axis=0).squeeze()    trues = np.concatenate(trues, axis=0).squeeze()    return preds, trues

2.8 结果可视化

核心代码:

def visualize_results(loss_history, preds, trues):    sns.set(font_scale=1.2)    plt.rc('font', family=['Times New Roman''Simsun'], size=12)    # 图 1:训练损失曲线    # 模型在训练过程中损失的下降情况,说明模型不断优化拟合数据。    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=300, format='png')    plt.show()    # 图 2:真实值与预测值对比曲线    # 对比曲线直观展示模型预测趋势与真实数据的匹配情况,越接近表示模型效果越好。    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=300, format='png')    plt.show()

图 1:训练损失曲线

图 2:真实值与预测值对比曲线

2.9 计算误差

核心代码:

testScore1 = math.sqrt(mean_squared_error(preds_test, trues_test))print('Test Score: %.2f RMSE' % (testScore1))testScore2 = mean_absolute_error(preds_test, trues_test)print('Test Score: %.2f MAE' % (testScore2))testScore3 = r2_score(preds_test, trues_test)print('Test Score: %.2f R2' % (testScore3))testScore4 = mean_absolute_percentage_error(preds_test, trues_test)print('Test Score: %.2f MAPE' % (testScore4))

结果:

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作者简介:

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:0.000924s ] mysql:host=127.0.0.1;port=3306;dbname=f_mffb;charset=utf8mb4
  2. SHOW FULL COLUMNS FROM `fenlei` [ RunTime:0.001903s ]
  3. SELECT * FROM `fenlei` WHERE `fid` = 0 [ RunTime:0.004880s ]
  4. SELECT * FROM `fenlei` WHERE `fid` = 63 [ RunTime:0.006869s ]
  5. SHOW FULL COLUMNS FROM `set` [ RunTime:0.001732s ]
  6. SELECT * FROM `set` [ RunTime:0.025767s ]
  7. SHOW FULL COLUMNS FROM `article` [ RunTime:0.002049s ]
  8. SELECT * FROM `article` WHERE `id` = 468197 LIMIT 1 [ RunTime:0.009224s ]
  9. UPDATE `article` SET `lasttime` = 1770518639 WHERE `id` = 468197 [ RunTime:0.020996s ]
  10. SELECT * FROM `fenlei` WHERE `id` = 66 LIMIT 1 [ RunTime:0.001686s ]
  11. SELECT * FROM `article` WHERE `id` < 468197 ORDER BY `id` DESC LIMIT 1 [ RunTime:0.005813s ]
  12. SELECT * FROM `article` WHERE `id` > 468197 ORDER BY `id` ASC LIMIT 1 [ RunTime:0.008227s ]
  13. SELECT * FROM `article` WHERE `id` < 468197 ORDER BY `id` DESC LIMIT 10 [ RunTime:0.014893s ]
  14. SELECT * FROM `article` WHERE `id` < 468197 ORDER BY `id` DESC LIMIT 10,10 [ RunTime:0.021930s ]
  15. SELECT * FROM `article` WHERE `id` < 468197 ORDER BY `id` DESC LIMIT 20,10 [ RunTime:0.011550s ]
0.302737s