mlsanityData to 14 Oct 2026

Let Me Grok for You: Accelerating Grokking via Embedding Transfer from a Weaker Model

arXiv 2504.13292 ↗First posted 17 Apr 2025cs.LG stat.MLcited by 13

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Abstract (arXiv)

''Grokking'' is a phenomenon where a neural network first memorizes training data and generalizes poorly, but then suddenly transitions to near-perfect generalization after prolonged training. While intriguing, this delayed generalization phenomenon compromises predictability and efficiency. Ideally, models should generalize directly without delay. To this end, this paper proposes GrokTransfer, a simple and principled method for accelerating grokking in training neural networks, based on the key observation that data embedding plays a crucial role in determining whether generalization is delayed. GrokTransfer first trains a smaller, weaker model to reach a nontrivial (but far from optimal) test performance. Then, the learned input embedding from this weaker model is extracted and used to initialize the embedding in the target, stronger model. We rigorously prove that, on a synthetic XOR task where delayed generalization always occurs in normal training, GrokTransfer enables the target model to generalize directly without delay. Moreover, we demonstrate that, across empirical studies of different tasks, GrokTransfer effectively reshapes the training dynamics and eliminates delayed generalization, for both fully-connected neural networks and Transformers.

Key facts. Cited by 13 papers in the map (data through 14 Oct 2026). Builds on 33 of its 41 references that are in the map. First posted on arXiv 17 Apr 2025.

Builds on

33 of 41 references.

References · 33

  1. 2020Scaling Laws for Neural Language Modelscited by 6,586
  2. 2023Progress measures for grokking via mechanistic interpretabilitycited by 839
  3. 2022Grokking: Generalization Beyond Overfitting on Small Algorithmic Datasetscited by 629
  4. 2023Weak-to-Strong Generalization: Eliciting Strong Capabilities With Weak Supervisioncited by 467
  5. 2022Towards Understanding Grokking: An Effective Theory of Representation Learningcited by 230
  6. 2022Hidden Progress in Deep Learning: SGD Learns Parities Near the Computational Limitcited by 187
  7. 2023Small-scale proxies for large-scale Transformer training instabilitiescited by 183
  8. 2022Self-Stabilization: The Implicit Bias of Gradient Descent at the Edge of Stabilitycited by 155
  9. 2022Omnigrok: Grokking Beyond Algorithmic Datacited by 146
  10. 2023A Toy Model of Universality: Reverse Engineering How Networks Learn Group Operationscited by 144
  11. 2023Sudden Drops in the Loss: Syntax Acquisition, Phase Transitions, and Simplicity Bias in MLMscited by 124
  12. 2023Explaining grokking through circuit efficiencycited by 111
21 more
  1. 2023Grokking as the Transition from Lazy to Rich Training Dynamicscited by 108
  2. 2022The Slingshot Mechanism: An Empirical Study of Adaptive Optimizers and the Grokking Phenomenoncited by 94
  3. 2023Grokking modular arithmeticcited by 83
  4. 2023Learning to Grow Pretrained Models for Efficient Transformer Trainingcited by 83
  5. 2023A Tale of Two Circuits: Grokking as Competition of Sparse and Dense Subnetworkscited by 83
  6. 2023Dichotomy of Early and Late Phase Implicit Biases Can Provably Induce Grokkingcited by 80
  7. 2024Grokked Transformers are Implicit Reasoners: A Mechanistic Journey to the Edge of Generalizationcited by 79
  8. 2024Deep Networks Always Grok and Here is Whycited by 51
  9. 2023Unifying Grokking and Double Descentcited by 50
  10. 2024Grokfast: Accelerated Grokking by Amplifying Slow Gradientscited by 41
  11. 2024Learning to grok: Emergence of in-context learning and skill composition in modular arithmetic taskscited by 40
  12. 2024Why Do You Grok? A Theoretical Analysis of Grokking Modular Additioncited by 36
  13. 2023Benign Overfitting and Grokking in ReLU Networks for XOR Cluster Datacited by 33
  14. 2023Feature emergence via margin maximization: case studies in algebraic taskscited by 33
  15. 2022A Fast, Well-Founded Approximation to the Empirical Neural Tangent Kernelcited by 30
  16. 2022Grokking phase transitions in learning local rules with gradient descentcited by 28
  17. 2024Emergence in non-neural models: grokking modular arithmetic via average gradient outer productcited by 28
  18. 2024Critical Data Size of Language Models from a Grokking Perspectivecited by 24
  19. 2024Grokking Modular Polynomialscited by 18
  20. 2023Grokking Beyond Neural Networks: An Empirical Exploration with Model Complexitycited by 13
  21. 2024Abrupt Learning in Transformers: A Case Study on Matrix Completioncited by 11

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Citing papers per year: 2025: 4; 2026: 9.

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