Representation Alignment in Neural Networks
Not on the map. Why?
Abstract (arXiv)
It is now a standard for neural network representations to be trained on large, publicly available datasets, and used for new problems. The reasons for why neural network representations have been so successful for transfer, however, are still not fully understood. In this paper we show that, after training, neural network representations align their top singular vectors to the targets. We investigate this representation alignment phenomenon in a variety of neural network architectures and find that (a) alignment emerges across a variety of different architectures and optimizers, with more alignment arising from depth (b) alignment increases for layers closer to the output and (c) existing high-performance deep CNNs exhibit high levels of alignment. We then highlight why alignment between the top singular vectors and the targets can speed up learning and show in a classic synthetic transfer problem that representation alignment correlates with positive and negative transfer to similar and dissimilar tasks.
Key facts. Cited by 6 papers in the map (data through 14 Oct 2026). Builds on 39 of its 58 references that are in the map. First posted on arXiv 15 Dec 2021.
Builds on
39 of 58 references.
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Built on by
Citing papers per year: 2022: 1; 2023: 0; 2024: 2; 2025: 2; 2026: 1.
6 papers.
- 2024Training the Untrainable: Introducing Inductive Bias via Representational Alignmentcited by 4
- 2024Enabling Multi-Robot Collaboration from Single-Human Guidancecited by 3
- 2025Spectral Alignment as Predictor of Loss Explosion in Neural Network Trainingcited by 2
- 2022Label Alignment Regularization for Distribution Shiftcited by 1
- 2025Model alignment using inter-modal bridgescited by 1
- 2026Value Bonuses using Ensemble Errors for Exploration in Reinforcement Learningcited by 1
- 2026Value Bonuses using Ensemble Errors for Exploration in Reinforcement Learning12 Feb 2026
- 2025Spectral Alignment as Predictor of Loss Explosion in Neural Network Training5 Oct 2025
- 2025Model alignment using inter-modal bridges18 May 2025
- 2024Training the Untrainable: Introducing Inductive Bias via Representational Alignment26 Oct 2024
- 2024Enabling Multi-Robot Collaboration from Single-Human Guidance30 Sep 2024
- 2022Label Alignment Regularization for Distribution Shift27 Nov 2022