The Uncanny Similarity of Recurrence and Depth
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Abstract (arXiv)
It is widely believed that deep neural networks contain layer specialization, wherein neural networks extract hierarchical features representing edges and patterns in shallow layers and complete objects in deeper layers. Unlike common feed-forward models that have distinct filters at each layer, recurrent networks reuse the same parameters at various depths. In this work, we observe that recurrent models exhibit the same hierarchical behaviors and the same performance benefits with depth as feed-forward networks despite reusing the same filters at every recurrence. By training models of various feed-forward and recurrent architectures on several datasets for image classification as well as maze solving, we show that recurrent networks have the ability to closely emulate the behavior of non-recurrent deep models, often doing so with far fewer parameters.
Key facts. Cited by 9 papers in the map (data through 14 Oct 2026). Builds on 24 of its 35 references that are in the map. First posted on arXiv 22 Feb 2021.
Builds on
24 of 35 references.
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12 more
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Built on by
Citing papers per year: 2021: 1; 2022: 4; 2023: 1; 2024: 0; 2025: 2; 2026: 1.
9 papers.
- 2022On Transforming Reinforcement Learning by Transformer: The Development Trajectorycited by 36
- 2022End-to-end Algorithm Synthesis with Recurrent Networks: Logical Extrapolation Without Overthinkingcited by 33
- 2022A Review of Emerging Research Directions in Abstract Visual Reasoningcited by 33
- 2021CoBERL: Contrastive BERT for Reinforcement Learningcited by 21
- 2025Block-Recurrent Dynamics in Vision Transformerscited by 20
- 2022Short-Term Plasticity Neurons Learning to Learn and Forgetcited by 6
- 2023Adaptive recurrent vision performs zero-shot computation scaling to unseen difficulty levelscited by 6
- 2025Traveling Waves Integrate Spatial Information Through Timecited by 0
- 2026Recurrent Sinusoidal INRs for Efficient High-Fidelity Representationcited by 0
- 2026Recurrent Sinusoidal INRs for Efficient High-Fidelity Representation23 Jul 2026
- 2025Block-Recurrent Dynamics in Vision Transformers23 Dec 2025
- 2025Traveling Waves Integrate Spatial Information Through Time9 Feb 2025
- 2023Adaptive recurrent vision performs zero-shot computation scaling to unseen difficulty levels12 Nov 2023
- 2022On Transforming Reinforcement Learning by Transformer: The Development Trajectory29 Dec 2022
- 2022Short-Term Plasticity Neurons Learning to Learn and Forget28 Jun 2022
- 2022A Review of Emerging Research Directions in Abstract Visual Reasoning21 Feb 2022
- 2022End-to-end Algorithm Synthesis with Recurrent Networks: Logical Extrapolation Without Overthinking11 Feb 2022
- 2021CoBERL: Contrastive BERT for Reinforcement Learning12 Jul 2021