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iTransformer

The repo is the official implementation for the paper: iTransformer: Inverted Transformers Are Effective for Time Series Forecasting. [Slides], [Poster].

Updates

:triangular_flag_on_post: News (2024.10) TimeXer, a canonical Transformer for forecasting with exogenous variables, is released. Code is available here.

:triangular_flag_on_post: News (2024.05) Many thanks for the great efforts from lucidrains. A pip package for the usage of iTransformer variants can be simply installed via pip install iTransformer

:triangular_flag_on_post: News (2024.04) iTransformer has benn included in NeuralForecast. Special thanks to the contributor @Marco!

:triangular_flag_on_post: News (2024.03) Introduction of our work in Chinese is available.

:triangular_flag_on_post: News (2024.02) iTransformer has been accepted as ICLR 2024 Spotlight.

:triangular_flag_on_post: News (2023.12) iTransformer available in GluonTS with probablistic head and support for static covariates. Notebook is available here.

:triangular_flag_on_post: News (2023.12) We received lots of valuable suggestions. A revised version (24 Pages) is now available.

:triangular_flag_on_post: News (2023.10) iTransformer has been included in [Time-Series-Library] and achieves state-of-the-art in Lookback-$96$ forecasting.

:triangular_flag_on_post: News (2023.10) All the scripts for the experiments in our paper are available.

Introduction

🌟 Considering the characteristics of multivariate time series, iTransformer breaks the conventional structure without modifying any Transformer modules. Inverted Transformer is all you need in MTSF.

<p align="center"> <img src="./figures/motivation.png" alt="" align=center /> </p>

🏆 iTransformer achieves the comprehensive state-of-the-art in challenging multivariate forecasting tasks and solves several pain points of Transformer on extensive time series data.

<p align="center"> <img src="./figures/radar.png" height = "360" alt="" align=center /> </p>

Overall Architecture

iTransformer regards independent time series as variate tokens to capture multivariate correlations by attention and utilize layernorm and feed-forward networks to learn series representations.

<p align="center"> <img src="./figures/architecture.png" alt="" align=center /> </p>

The pseudo-code of iTransformer is as simple as the following:

<p align="center"> <img src="./figures/algorithm.png" alt="" align=center /> </p>

Usage

  1. Install Pytorch and necessary dependencies.
pip install -r requirements.txt

  1. The datasets can be obtained from Google Drive or Baidu Cloud.

  2. Train and evaluate the model. We provide all the above tasks under the folder ./scripts/. You can reproduce the results as the following examples:

# Multivariate forecasting with iTransformer
bash ./scripts/multivariate_forecasting/Traffic/iTransformer.sh

# Compare the performance of Transformer and iTransformer
bash ./scripts/boost_performance/Weather/iTransformer.sh

# Train the model with partial variates, and generalize on the unseen variates
bash ./scripts/variate_generalization/ECL/iTransformer.sh

# Test the performance on the enlarged lookback window
bash ./scripts/increasing_lookback/Traffic/iTransformer.sh

# Utilize FlashAttention for acceleration
bash ./scripts/efficient_attentions/iFlashTransformer.sh

Main Result of Multivariate Forecasting

We evaluate the iTransformer on challenging multivariate forecasting benchmarks (generally hundreds of variates). Comprehensive good performance (MSE/MAE $\downarrow$) is achieved.

Online Transaction Load Prediction of Alipay Trading Platform (Avg Results)

<p align="center"> <img src="./figures/main_results_alipay.png" alt="" align=center /> </p>

General Performance Boosting on Transformers

By introducing the proposed framework, Transformer and its variants achieve significant performance improvement, demonstrating the generality of the iTransformer approach and benefiting from efficient attention mechanisms.

<p align="center"> <img src="./figures/boosting.png" alt="" align=center /> </p>

Zero-Shot Generalization on Variates

Technically, iTransformer is able to forecast with arbitrary numbers of variables. We train iTransformers on partial variates and forecast unseen variates with good generalizability.

<p align="center"> <img src="./figures/generability.png" alt="" align=center /> </p>

Model Analysis

Benefiting from inverted Transformer modules:

<p align="center"> <img src="./figures/analysis.png" alt="" align=center /> </p>

Citation

If you find this repo helpful, please cite our paper.

@article{liu2023itransformer,
  title={iTransformer: Inverted Transformers Are Effective for Time Series Forecasting},
  author={Liu, Yong and Hu, Tengge and Zhang, Haoran and Wu, Haixu and Wang, Shiyu and Ma, Lintao and Long, Mingsheng},
  journal={arXiv preprint arXiv:2310.06625},
  year={2023}
}

Acknowledgement

We appreciate the following GitHub repos a lot for their valuable code and efforts.

This work was also supported by Ant Group through the CCF-Ant Research Fund.

Contact

If you have any questions or want to use the code, feel free to contact: