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Bridging Simplicity and Sophistication using GLinear: A Novel Architecture for Enhanced Time Series Prediction

2 Jan 2025arXiv:2501.01087archive 2025-07-28

Syed Tahir Hussain Rizvi, Neel Kanwal, Muddasar Naeem, Alfredo Cuzzocrea, Antonio Coronato

Time Series Forecasting (TSF) is an important application across many fields. There is a debate about whether Transformers, despite being good at understanding long sequences, struggle with preserving temporal relationships in time series data. Recent research suggests that simpler linear models might outperform or at least provide competitive performance compared to complex Transformer-based models for TSF tasks. In this paper, we propose a novel data-efficient architecture, GLinear, for multivariate TSF that exploits periodic patterns to provide better accuracy. It also provides better prediction accuracy by using a smaller amount of historical data compared to other state-of-the-art linear predictors. Four different datasets (ETTh1, Electricity, Traffic, and Weather) are used to evaluate the performance of the proposed predictor. A performance comparison with state-of-the-art linear architectures (such as NLinear, DLinear, and RLinear) and transformer-based time series predictor (Autoformer) shows that the GLinear, despite being parametrically efficient, significantly outperforms the existing architectures in most cases of multivariate TSF. We hope that the proposed GLinear opens new fronts of research and development of simpler and more sophisticated architectures for data and computationally efficient time-series analysis.

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t-rizvi/GLinear officialmentioned in papermentioned on GitHubpytorch report

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Tasks

GLinearTime SeriesTime Series AnalysisTime Series ForecastingTime Series Prediction

Results from the paper archive 2025-07-28

TaskDatasetModelMetricValueRank at snapshotLeaderboardReport
GLinear ETTh1 (192) GLinear MSE 0.4202 #1 of 1 Archive leaderboard report
GLinear ETTh1 (24) GLinear MSE 0.3142 #1 of 1 Archive leaderboard report
GLinear ETTh1 (24) Multivariate GLinear MSE 0.3142 #1 of 1 Archive leaderboard report
GLinear ETTh1 (336) GLinear MSE 0.4915 #1 of 1 Archive leaderboard report
GLinear ETTh1 (48) MSE MSE 0.3537 #1 of 1 Archive leaderboard report
GLinear ETTh1 (720) Multivariate GLinear MSE 0.5923 #1 of 1 Archive leaderboard report
GLinear ETTh1 (96) GLinear MSE 0.3820 #1 of 1 Archive leaderboard report
GLinear Electricity GLinear MSE 0.0883 #1 of 1 Archive leaderboard report
GLinear Electricity (192) GLinear MSE 0.1494 #1 of 1 Archive leaderboard report
GLinear Electricity (336) GLinear MSE 0.1651 #1 of 1 Archive leaderboard report
GLinear Electricity (96) GLinear MSE 0.1313 #1 of 1 Archive leaderboard report
GLinear Traffic GLinear MSE 0.3222 #1 of 1 Archive leaderboard report
GLinear Traffic (192) GLinear MSE 0.4056 #1 of 1 Archive leaderboard report
GLinear Traffic (336) GLinear MSE 0.4201 #1 of 1 Archive leaderboard report
GLinear Traffic (720) GLinear MSE 0.4488 #1 of 1 Archive leaderboard report
GLinear Traffic (96) GLinear MSE 0.3875 #1 of 1 Archive leaderboard report
GLinear Weather GLinear MSE 0.0716 #1 of 1 Archive leaderboard report
GLinear Weather (192) GLinear MSE 0.1883 #1 of 1 Archive leaderboard report
GLinear Weather (720) GLinear MSE 0.3200 #1 of 1 Archive leaderboard report
Multivariate Time Series Forecasting ETTh1 (48) Multivariate GLinear MSE 0.3142 #1 of 1 Archive leaderboard report
Multivariate Time Series Forecasting Electricity GLinear MSE 0.0883 #1 of 1 Archive leaderboard report
Multivariate Time Series Forecasting Traffic GLinear MSE 0.3222 #1 of 1 Archive leaderboard report
Multivariate Time Series Forecasting Weather GLinear MSE 0.0716 #1 of 1 Archive leaderboard report

Ranks are positions in the archive's leaderboards as they stood at the 2025-07-28 snapshot. Results published since then are not among these rows, so a rank here is not a current standing.

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