Write an 8-page research paper on a TCN-Encoder-Transformer-decoder model on time series forecasting. the paper should target the IEEE Transactions on neural networks and machine learning so it should be highly detailed and academic with a really well-thought-out background section. The results and testing section should mention how other standard models perform on standard time series forecasting datasets so I can run my model on them and test against the standard results. Leave place holders where it makes sense and put the placeholder text in between %%.

greatly expand each of these sections based on the rough outline I have provided here, provide mathematical foundation, background knowledge and assume the reader has previous background knowledge
Title: A TCN-Encoder-Transformer-Decoder Model for Time Series Forecasting

Abstract: This paper presents a novel architecture combining Temporal Convolutional Networks (TCN) as an an encoder with Transformer as the decoder for time series forecasting. The proposed model leverages the strengths of TCN in capturing local temporal dependencies and the Transformer’s ability to model long-range dependencies. We evaluate the model on several standard time series datasets and compare its performance against established benchmarks, demonstrating significant improvements in forecasting accuracy.

Keywords: Time Series Forecasting, Temporal Convolutional Networks Encoder, Transformer Decoder, Deep Learning

Introduction
Motivation: Discuss the importance of accurate time series forecasting in various domains such as finance, weather prediction, and healthcare.
Problem Statement: Highlight the challenges in time series forecasting, particularly the need for models that can capture both short-term and long-term dependencies.
Contributions: Summarize the main contributions of the paper, including the novel integration of TCN and Transformer components.
2. Related Work

Traditional Methods: Briefly review classical time series forecasting methods such as ARIMA, SARIMA, and exponential smoothing.
Deep Learning Approaches: Discuss recent advancements in deep learning for time series forecasting, including RNNs, LSTMs, GRUs, and attention mechanisms.
Hybrid Models: Highlight existing hybrid models that combine different architectures and their limitations, setting the stage for the proposed model.
3. Background

Temporal Convolutional Networks (TCN): Explain the architecture and advantages of TCNs, particularly their ability to handle long sequences with lower computational cost compared to RNNs. explain why the TCN would make a good encoder but wouldn't make a good decoder and why it would make sense to replace transformer encoder in other popular architectures 
positional encoding, and multi-head attention.
Decoder Framework: Describe the general decoder framework and its application in sequence-to-sequence tasks.
4. Proposed Model

Model Architecture: Provide a detailed description of the TCN-Encoder-Transformer-Decoder model. Include diagrams to illustrate the architecture.
Integration Strategy: Explain how TCN is used to preprocess the input time series data before feeding it into the Transformer decoder.
Training Procedure: Outline the training process, including loss functions, optimization techniques, and hyperparameter settings.
5. Experimental Setup

Datasets: List the standard time series datasets used for evaluation, such as the M4 competition dataset, the Electricity Load Diagrams dataset, and the Traffic dataset1.
Baseline Models: Describe the baseline models used for comparison, including ARIMA, LSTM, GRU, and other state-of-the-art models2.
Evaluation Metrics: Define the metrics used to evaluate model performance, such as Mean Absolute Error (MAE), Root Mean Squared Error (RMSE), and Mean Absolute Percentage Error (MAPE).
6. Results and Discussion

Performance Comparison: Present the results of the proposed model on the selected datasets, comparing it with the baseline models. Use tables and graphs to illustrate the performance differences.
Ablation Study: Conduct an ablation study to understand the contribution of each component (TCN encoder, Transformer decoder) to the overall performance.
Analysis: Discuss the results, highlighting the strengths and potential limitations of the proposed model. Provide insights into why the model performs better or worse on certain datasets.
7. Conclusion

Summary: Recap the main findings of the paper.
Future Work: Suggest potential directions for future research, such as exploring different combinations of architectures or applying the model to other types of time series data.