Many papers have been published on CNN, LSTM, and CNN-LSTM for time series. From the literature and my experience, I conclude that CNN-LSTM outperforms CNN and LSTM models. Here are two relevant papers on stock price time series forecasting:
Wenjie Lu, Jiazheng Li, Yifan Li, Aijun Sun, & Jingyang Wang. (2020). A CNN-LSTM-Based Model to Forecast Stock Prices. Complexity, 2020. https://doi.org/10.1155/2020/6622927
The authors' conclusions:
This paper takes the relevant data of the Shanghai Composite Index as an example to verify the experimental results. The experimental results show that the CNN-LSTM has the highest forecasting accuracy and the best performance compared with the MLP, CNN, RNN, LSTM, and CNN-RNN.
Chen, Y., Fang, R., Liang, T., Sha, Z., Li, S., Yi, Y., Zhou, W., & Song, H. (2021). Stock Price Forecast Based on CNN-BiLSTM-ECA Model. Scientific Programming, 1–20. https://doi.org/10.1155/2021/2446543
The authors' conclusions:
The proposed model is compared with CNN, LSTM, BiLSTM, CNNLSTM, CNN-BiLSTM, BiLSTM-ECA, and CNN-LSTMECA network models on three datasets. The experimental results show that the proposed model has the highest prediction accuracy and the best performance.