Complex Gated Recurrent Neural Networks
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Abstract (arXiv)
Complex numbers have long been favoured for digital signal processing, yet complex representations rarely appear in deep learning architectures. RNNs, widely used to process time series and sequence information, could greatly benefit from complex representations. We present a novel complex gated recurrent cell, which is a hybrid cell combining complex-valued and norm-preserving state transitions with a gating mechanism. The resulting RNN exhibits excellent stability and convergence properties and performs competitively on the synthetic memory and adding task, as well as on the real-world tasks of human motion prediction.
Key facts. Cited by 17 papers in the map (data through 7 Oct 2026). First posted on arXiv 21 Jun 2018.
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Citing papers per year: 2021: 5; 2022: 3; 2023: 2; 2024: 2; 2025: 3; 2026: 2.
17 papers.
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- 2022Simplifying and Understanding State Space Models with Diagonal Linear RNNscited by 23
- 2024Language-Driven Interactive Traffic Trajectory Generationcited by 19
- 2021Towards Understanding Theoretical Advantages of Complex-Reaction Networkscited by 6
- 20223D Human Pose Estimation Using M"obius Graph Convolutional Networkscited by 6
- 2021Quantitative approximation results for complex-valued neural networkscited by 5
- 2025Revisiting Bi-Linear State Transitions in Recurrent Neural Networkscited by 4
- 2025A Survey of Deep Learning for Complex Speech Spectrogramscited by 3
- 2023Adapting Pre-trained Language Models for Quantum Natural Language Processingcited by 2
- 2023Physics-constrained Attack against Convolution-based Human Motion Predictioncited by 2
- 2025BeatFormer: Efficient motion-robust remote heart rate estimation through unsupervised spectral zoomed attention filterscited by 2
- 2022Fully complex-valued deep learning model for visual perceptioncited by 1
- 2026The Quantum Shortcut: Complex Phase-State Dynamics Reduce the Optimization Steps of Sequence Modelscited by 1
5 more
- 2021Neural Networks with Complex-Valued Weights Have No Spurious Local Minimacited by 0
- 2021FallDeF5: A Fall Detection Framework Using 5G-based Deep Gated Recurrent Unit Networkscited by 0
- 2021Acceleration Method for Learning Fine-Layered Optical Neural Networkscited by 0
- 2024BadHMP: Backdoor Attack against Human Motion Predictioncited by 0
- 2026Phase-Associative Memory: Sequence Modeling in Complex Hilbert Spacecited by 0
- 2026The Quantum Shortcut: Complex Phase-State Dynamics Reduce the Optimization Steps of Sequence Models7 Aug 2026
- 2026Phase-Associative Memory: Sequence Modeling in Complex Hilbert Space6 Apr 2026
- 2025BeatFormer: Efficient motion-robust remote heart rate estimation through unsupervised spectral zoomed attention filters20 Jul 2025
- 2025Revisiting Bi-Linear State Transitions in Recurrent Neural Networks27 May 2025
- 2025A Survey of Deep Learning for Complex Speech Spectrograms13 May 2025
- 2024BadHMP: Backdoor Attack against Human Motion Prediction29 Sep 2024
- 2024Language-Driven Interactive Traffic Trajectory Generation24 May 2024
- 2023Physics-constrained Attack against Convolution-based Human Motion Prediction21 Jun 2023
- 2023Adapting Pre-trained Language Models for Quantum Natural Language Processing24 Feb 2023
- 2022Fully complex-valued deep learning model for visual perception14 Dec 2022
- 2022Simplifying and Understanding State Space Models with Diagonal Linear RNNs1 Dec 2022
- 20223D Human Pose Estimation Using M"obius Graph Convolutional Networks20 Mar 2022
5 more
- 2021Acceleration Method for Learning Fine-Layered Optical Neural Networks1 Sep 2021
- 2021Towards Understanding Theoretical Advantages of Complex-Reaction Networks15 Aug 2021
- 2021FallDeF5: A Fall Detection Framework Using 5G-based Deep Gated Recurrent Unit Networks29 Jun 2021
- 2021Quantitative approximation results for complex-valued neural networks25 Feb 2021
- 2021Neural Networks with Complex-Valued Weights Have No Spurious Local Minima31 Jan 2021
- 2022Simplifying and Understanding State Space Models with Diagonal Linear RNNscited by 23
- 2024Language-Driven Interactive Traffic Trajectory Generationcited by 19
- 2021Towards Understanding Theoretical Advantages of Complex-Reaction Networkscited by 6
- 20223D Human Pose Estimation Using M"obius Graph Convolutional Networkscited by 6
- 2021Quantitative approximation results for complex-valued neural networkscited by 5
- 2025Revisiting Bi-Linear State Transitions in Recurrent Neural Networkscited by 4
- 2025A Survey of Deep Learning for Complex Speech Spectrogramscited by 3
- 2023Adapting Pre-trained Language Models for Quantum Natural Language Processingcited by 2
- 2023Physics-constrained Attack against Convolution-based Human Motion Predictioncited by 2
- 2025BeatFormer: Efficient motion-robust remote heart rate estimation through unsupervised spectral zoomed attention filterscited by 2
- 2022Fully complex-valued deep learning model for visual perceptioncited by 1
- 2026The Quantum Shortcut: Complex Phase-State Dynamics Reduce the Optimization Steps of Sequence Modelscited by 1
12 most cited of 17 All 17 (JSON)
- 2026The Quantum Shortcut: Complex Phase-State Dynamics Reduce the Optimization Steps of Sequence Models7 Aug 2026
- 2026Phase-Associative Memory: Sequence Modeling in Complex Hilbert Space6 Apr 2026
- 2025BeatFormer: Efficient motion-robust remote heart rate estimation through unsupervised spectral zoomed attention filters20 Jul 2025
- 2025Revisiting Bi-Linear State Transitions in Recurrent Neural Networks27 May 2025
- 2025A Survey of Deep Learning for Complex Speech Spectrograms13 May 2025
- 2024BadHMP: Backdoor Attack against Human Motion Prediction29 Sep 2024
- 2024Language-Driven Interactive Traffic Trajectory Generation24 May 2024
- 2023Physics-constrained Attack against Convolution-based Human Motion Prediction21 Jun 2023
- 2023Adapting Pre-trained Language Models for Quantum Natural Language Processing24 Feb 2023
- 2022Fully complex-valued deep learning model for visual perception14 Dec 2022
- 2022Simplifying and Understanding State Space Models with Diagonal Linear RNNs1 Dec 2022
- 20223D Human Pose Estimation Using M"obius Graph Convolutional Networks20 Mar 2022
12 newest of 17 All 17 (JSON)