Residual Connections Encourage Iterative Inference
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Abstract (arXiv)
Residual networks (Resnets) have become a prominent architecture in deep learning. However, a comprehensive understanding of Resnets is still a topic of ongoing research. A recent view argues that Resnets perform iterative refinement of features. We attempt to further expose properties of this aspect. To this end, we study Resnets both analytically and empirically. We formalize the notion of iterative refinement in Resnets by showing that residual connections naturally encourage features of residual blocks to move along the negative gradient of loss as we go from one block to the next. In addition, our empirical analysis suggests that Resnets are able to perform both representation learning and iterative refinement. In general, a Resnet block tends to concentrate representation learning behavior in the first few layers while higher layers perform iterative refinement of features. Finally we observe that sharing residual layers naively leads to representation explosion and counterintuitively, overfitting, and we show that simple existing strategies can help alleviating this problem.
Key facts. Cited by 74 papers in the map (data through 7 Oct 2026). First posted on arXiv 13 Oct 2017.
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Citing papers per year: 2021: 4; 2022: 12; 2023: 11; 2024: 22; 2025: 13; 2026: 12.
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- 2024Does Transformer Interpretability Transfer to RNNs?9 Apr 2024
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- 2023Transformers learn to implement preconditioned gradient descent for in-context learningcited by 274
- 2024The Remarkable Robustness of LLMs: Stages of Inference?cited by 138
- 2024A Practical Review of Mechanistic Interpretability for Transformer-Based Language Modelscited by 113
- 2024Universal Neurons in GPT2 Language Modelscited by 100
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- 2026Off-Axis, On Purpose: Where a Transformer Computes Concepts and Why it Does So10 Aug 2026
- 2026Geometry-Guided Layerwise FFN Width Allocation in Transformers3 Aug 2026
- 2026Looped Transformers with Source-Centered State Evolution30 Jul 2026
- 2026Training, Reading, and Editing Legible Transformers9 Jul 2026
- 2026Scaling Adaptive Depth with Norm-Agnostic Residual Networks15 Jun 2026
- 2026Tracing Computation Density in LLMs26 May 2026
- 2026Is One Layer Enough? Understanding Inference Dynamics in Tabular Foundation Models7 May 2026
- 2026GradAttn: Replacing Fixed Residual Connections with Task-Modulated Attention Pathways23 Mar 2026
- 2025Adversarial Lens: Exploiting Attention Layers to Generate Adversarial Examples for Evaluation29 Dec 2025
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