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Cruise control systems in cars are designed as multi-input systems to maintain a driver's desired speed while compensating for external disturbances such as changes in terrain. The block diagram for a cruise control system typically includes two main inputs: the desired speed set by the driver and any external disturbances, such as the incline of the road. By adjusting the engine throttle, the system maintains the vehicle's speed as close to the desired value as possible.
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Related Experiment Video

Updated: Jan 18, 2026

Measuring Attention and Visual Processing Speed by Model-based Analysis of Temporal-order Judgments
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RoGAtten: Rotary gated linear attention for multivariate time series forecasting.

Aobo Liang1, Yan Sun1, Xiaohou Shi2

  • 1School of Computer, Beijing University of Posts and Telecommunications, Beijing, 100876, Beijing, China.

Neural Networks : the Official Journal of the International Neural Network Society
|January 16, 2026
PubMed
Summary

This study introduces Rotary Gated linear Attention (RoGAtten) for network traffic forecasting. RoGAtten enhances Transformer models by integrating Mamba-like gating, improving long-term dependency modeling and prediction accuracy.

Keywords:
Linear attentionMultivariate time series forecastingNetwork trafficRotary position encoding

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Area of Science:

  • Computer Science
  • Artificial Intelligence
  • Network Engineering

Background:

  • Internet of Things (IoT) generates vast long-term time series data.
  • Accurate network traffic prediction is crucial for security and management.
  • Transformer models offer high prediction accuracy but struggle with attention mechanism efficiency.

Purpose of the Study:

  • To enhance attention mechanisms for improved network traffic forecasting.
  • To develop a novel model that balances expressivity and computational efficiency.
  • To leverage insights from state space models like Mamba for attention enhancement.

Main Methods:

  • Theoretically proved linear attention with rotary positional embeddings can resemble Mamba.
  • Designed a scalable rotary position embedding (SRoPE) mechanism with a scaling factor.
  • Proposed Rotary Gated linear Attention (RoGAtten) for multivariate time series forecasting.
  • Integrated SRoPE to provide series-wise identifiers and adjust inter-variable interactions.

Main Results:

  • SRoPE confers forget-gate-like capability, enhancing expressiveness over previous attention variants.
  • RoGAtten effectively captures inter-series dependencies in multivariate time series.
  • Experiments on 8 real-world datasets show significant performance improvements.
  • RoGAtten reduced Mean Squared Error (MSE) by 3.85% and Mean Absolute Error (MAE) by 1.71% compared to state-of-the-art methods.

Conclusions:

  • RoGAtten offers a superior approach to multivariate time series forecasting in network traffic prediction.
  • The proposed SRoPE mechanism enhances model adaptability and alignment with domain knowledge.
  • This research provides a computationally efficient and highly expressive alternative to existing attention mechanisms for time series analysis.