Towards Non-saturating Recurrent Units for Modelling Long-term Dependencies
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Abstract (arXiv)
Modelling long-term dependencies is a challenge for recurrent neural networks. This is primarily due to the fact that gradients vanish during training, as the sequence length increases. Gradients can be attenuated by transition operators and are attenuated or dropped by activation functions. Canonical architectures like LSTM alleviate this issue by skipping information through a memory mechanism. We propose a new recurrent architecture (Non-saturating Recurrent Unit; NRU) that relies on a memory mechanism but forgoes both saturating activation functions and saturating gates, in order to further alleviate vanishing gradients. In a series of synthetic and real world tasks, we demonstrate that the proposed model is the only model that performs among the top 2 models across all tasks with and without long-term dependencies, when compared against a range of other architectures.
Key facts. Cited by 15 papers in the map (data through 7 Oct 2026). First posted on arXiv 22 Jan 2019.
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Citing papers per year: 2021: 5; 2022: 2; 2023: 6; 2024: 0; 2025: 0; 2026: 2.
15 papers.
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- 2023RWKV: Reinventing RNNs for the Transformer Eracited by 814
- 2023Deep networks for system identification: a Surveycited by 35
- 2021Parallelizing Legendre Memory Unit Trainingcited by 22
- 2021Exploiting Multiple Timescales in Hierarchical Echo State Networkscited by 11
- 2021How Does Momentum Benefit Deep Neural Networks Architecture Design? A Few Case Studiescited by 10
- 2021Slower is Better: Revisiting the Forgetting Mechanism in LSTM for Slower Information Decaycited by 7
- 2022Random orthogonal additive filters: a solution to the vanishing/exploding gradient of deep neural networkscited by 5
- 2023Delayed Memory Unit: Modelling Temporal Dependency Through Delay Gatecited by 4
- 2021Discrete Function Bases and Convolutional Neural Networkscited by 1
- 2026Investigating Action Encodings in Recurrent Neural Networks in Reinforcement Learningcited by 1
- 2022Fast Saturating Gate for Learning Long Time Scales with Recurrent Neural Networkscited by 0
- 2023Learning Transductions and Alignments with RNN Seq2seq Modelscited by 0
3 more
- 2026Greedy dynamical meta-learning27 Jul 2026
- 2026Investigating Action Encodings in Recurrent Neural Networks in Reinforcement Learning4 May 2026
- 2023Delayed Memory Unit: Modelling Temporal Dependency Through Delay Gate23 Oct 2023
- 2023Short-Term Load Forecasting Using A Particle-Swarm Optimized Multi-Head Attention-Augmented CNN-LSTM Network7 Sep 2023
- 2023RWKV: Reinventing RNNs for the Transformer Era22 May 2023
- 2023Extending Memory for Language Modelling19 May 2023
- 2023Learning Transductions and Alignments with RNN Seq2seq Models13 Mar 2023
- 2023Deep networks for system identification: a Survey30 Jan 2023
- 2022Fast Saturating Gate for Learning Long Time Scales with Recurrent Neural Networks4 Oct 2022
- 2022Random orthogonal additive filters: a solution to the vanishing/exploding gradient of deep neural networks3 Oct 2022
- 2021How Does Momentum Benefit Deep Neural Networks Architecture Design? A Few Case Studies13 Oct 2021
- 2021Slower is Better: Revisiting the Forgetting Mechanism in LSTM for Slower Information Decay12 May 2021
3 more
- 2021Discrete Function Bases and Convolutional Neural Networks9 Mar 2021
- 2021Parallelizing Legendre Memory Unit Training22 Feb 2021
- 2021Exploiting Multiple Timescales in Hierarchical Echo State Networks11 Jan 2021
- 2023RWKV: Reinventing RNNs for the Transformer Eracited by 814
- 2023Deep networks for system identification: a Surveycited by 35
- 2021Parallelizing Legendre Memory Unit Trainingcited by 22
- 2021Exploiting Multiple Timescales in Hierarchical Echo State Networkscited by 11
- 2021How Does Momentum Benefit Deep Neural Networks Architecture Design? A Few Case Studiescited by 10
- 2021Slower is Better: Revisiting the Forgetting Mechanism in LSTM for Slower Information Decaycited by 7
- 2022Random orthogonal additive filters: a solution to the vanishing/exploding gradient of deep neural networkscited by 5
- 2023Delayed Memory Unit: Modelling Temporal Dependency Through Delay Gatecited by 4
- 2021Discrete Function Bases and Convolutional Neural Networkscited by 1
- 2026Investigating Action Encodings in Recurrent Neural Networks in Reinforcement Learningcited by 1
- 2022Fast Saturating Gate for Learning Long Time Scales with Recurrent Neural Networkscited by 0
- 2023Learning Transductions and Alignments with RNN Seq2seq Modelscited by 0
12 most cited of 15 All 15 (JSON)
- 2026Greedy dynamical meta-learning27 Jul 2026
- 2026Investigating Action Encodings in Recurrent Neural Networks in Reinforcement Learning4 May 2026
- 2023Delayed Memory Unit: Modelling Temporal Dependency Through Delay Gate23 Oct 2023
- 2023Short-Term Load Forecasting Using A Particle-Swarm Optimized Multi-Head Attention-Augmented CNN-LSTM Network7 Sep 2023
- 2023RWKV: Reinventing RNNs for the Transformer Era22 May 2023
- 2023Extending Memory for Language Modelling19 May 2023
- 2023Learning Transductions and Alignments with RNN Seq2seq Models13 Mar 2023
- 2023Deep networks for system identification: a Survey30 Jan 2023
- 2022Fast Saturating Gate for Learning Long Time Scales with Recurrent Neural Networks4 Oct 2022
- 2022Random orthogonal additive filters: a solution to the vanishing/exploding gradient of deep neural networks3 Oct 2022
- 2021How Does Momentum Benefit Deep Neural Networks Architecture Design? A Few Case Studies13 Oct 2021
- 2021Slower is Better: Revisiting the Forgetting Mechanism in LSTM for Slower Information Decay12 May 2021
12 newest of 15 All 15 (JSON)