Let Me Grok for You: Accelerating Grokking via Embedding Transfer from a Weaker Model
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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
- 2020Scaling Laws for Neural Language Modelscited by 6,586
- 2023Progress measures for grokking via mechanistic interpretabilitycited by 839
- 2022Grokking: Generalization Beyond Overfitting on Small Algorithmic Datasetscited by 629
- 2023Weak-to-Strong Generalization: Eliciting Strong Capabilities With Weak Supervisioncited by 467
- 2022Towards Understanding Grokking: An Effective Theory of Representation Learningcited by 230
- 2022Hidden Progress in Deep Learning: SGD Learns Parities Near the Computational Limitcited by 187
- 2023Small-scale proxies for large-scale Transformer training instabilitiescited by 183
- 2022Self-Stabilization: The Implicit Bias of Gradient Descent at the Edge of Stabilitycited by 155
- 2022Omnigrok: Grokking Beyond Algorithmic Datacited by 146
- 2023A Toy Model of Universality: Reverse Engineering How Networks Learn Group Operationscited by 144
- 2023Sudden Drops in the Loss: Syntax Acquisition, Phase Transitions, and Simplicity Bias in MLMscited by 124
- 2023Explaining grokking through circuit efficiencycited by 111
21 more
- 2023Grokking as the Transition from Lazy to Rich Training Dynamicscited by 108
- 2022The Slingshot Mechanism: An Empirical Study of Adaptive Optimizers and the Grokking Phenomenoncited by 94
- 2023Grokking modular arithmeticcited by 83
- 2023Learning to Grow Pretrained Models for Efficient Transformer Trainingcited by 83
- 2023A Tale of Two Circuits: Grokking as Competition of Sparse and Dense Subnetworkscited by 83
- 2023Dichotomy of Early and Late Phase Implicit Biases Can Provably Induce Grokkingcited by 80
- 2024Grokked Transformers are Implicit Reasoners: A Mechanistic Journey to the Edge of Generalizationcited by 79
- 2024Deep Networks Always Grok and Here is Whycited by 51
- 2023Unifying Grokking and Double Descentcited by 50
- 2024Grokfast: Accelerated Grokking by Amplifying Slow Gradientscited by 41
- 2024Learning to grok: Emergence of in-context learning and skill composition in modular arithmetic taskscited by 40
- 2024Why Do You Grok? A Theoretical Analysis of Grokking Modular Additioncited by 36
- 2023Benign Overfitting and Grokking in ReLU Networks for XOR Cluster Datacited by 33
- 2023Feature emergence via margin maximization: case studies in algebraic taskscited by 33
- 2022A Fast, Well-Founded Approximation to the Empirical Neural Tangent Kernelcited by 30
- 2022Grokking phase transitions in learning local rules with gradient descentcited by 28
- 2024Emergence in non-neural models: grokking modular arithmetic via average gradient outer productcited by 28
- 2024Critical Data Size of Language Models from a Grokking Perspectivecited by 24
- 2024Grokking Modular Polynomialscited by 18
- 2023Grokking Beyond Neural Networks: An Empirical Exploration with Model Complexitycited by 13
- 2024Abrupt Learning in Transformers: A Case Study on Matrix Completioncited by 11
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Citing papers per year: 2025: 4; 2026: 9.
13 papers.
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- 2026Defenses Against Prompt Attacks Learn Surface Heuristicscited by 11
- 2026To Grok Grokking: Provable Grokking in Ridge Regressioncited by 8
- 2025Mechanistic Insights into Grokking from the Embedding Layercited by 6
- 2026Grokking or Glitching? How Low-Precision Drives Slingshot Loss Spikescited by 4
- 2025GrokAlign: Geometric Characterisation and Acceleration of Grokkingcited by 2
- 2025When Data Falls Short: Grokking Below the Critical Thresholdcited by 1
- 2026Is Grokking Worthwhile? Functional Analysis and Transferability of Generalization Circuits in Transformerscited by 1
- 2026Deciphering Two Training Clocks in Grokking via Deep Linear Network Theory with Conditional ReLU Reductioncited by 1
- 2026Radial Suppression Accelerates Algorithmic Generalization: A Geometric Analysis of Delayed Generalizationcited by 1
- 2026How to Tame Grokking: Representation Geometry as a Control Signalcited by 1
- 2025Tracing the Path to Grokking: Embeddings, Dropout, and Network Activationcited by 0
- 2026The Geometric Structure of Models Learning Sparse Datacited by 0
1 more
- 2026Beyond Embedding Transfer: Component Roles in Grokking Transfer and Stability16 Sep 2026
- 2026How to Tame Grokking: Representation Geometry as a Control Signal13 Jul 2026
- 2026Radial Suppression Accelerates Algorithmic Generalization: A Geometric Analysis of Delayed Generalization30 Jun 2026
- 2026Deciphering Two Training Clocks in Grokking via Deep Linear Network Theory with Conditional ReLU Reduction4 Jun 2026
- 2026The Geometric Structure of Models Learning Sparse Data8 May 2026
- 2026Grokking or Glitching? How Low-Precision Drives Slingshot Loss Spikes7 May 2026
- 2026To Grok Grokking: Provable Grokking in Ridge Regression27 Jan 2026
- 2026Is Grokking Worthwhile? Functional Analysis and Transferability of Generalization Circuits in Transformers14 Jan 2026
- 2026Defenses Against Prompt Attacks Learn Surface Heuristics12 Jan 2026
- 2025When Data Falls Short: Grokking Below the Critical Threshold6 Nov 2025
- 2025Tracing the Path to Grokking: Embeddings, Dropout, and Network Activation15 Jul 2025
- 2025GrokAlign: Geometric Characterisation and Acceleration of Grokking14 Jun 2025
1 more
- 2025Mechanistic Insights into Grokking from the Embedding Layer21 May 2025
- 2026Defenses Against Prompt Attacks Learn Surface Heuristicscited by 11
- 2026To Grok Grokking: Provable Grokking in Ridge Regressioncited by 8
- 2025Mechanistic Insights into Grokking from the Embedding Layercited by 6
- 2026Grokking or Glitching? How Low-Precision Drives Slingshot Loss Spikescited by 4
- 2025GrokAlign: Geometric Characterisation and Acceleration of Grokkingcited by 2
- 2025When Data Falls Short: Grokking Below the Critical Thresholdcited by 1
- 2026Deciphering Two Training Clocks in Grokking via Deep Linear Network Theory with Conditional ReLU Reductioncited by 1
- 2026Radial Suppression Accelerates Algorithmic Generalization: A Geometric Analysis of Delayed Generalizationcited by 1
- 2026How to Tame Grokking: Representation Geometry as a Control Signalcited by 1
- 2025Tracing the Path to Grokking: Embeddings, Dropout, and Network Activationcited by 0
- 2026The Geometric Structure of Models Learning Sparse Datacited by 0
- 2026Beyond Embedding Transfer: Component Roles in Grokking Transfer and Stabilitycited by 0
- 2026Beyond Embedding Transfer: Component Roles in Grokking Transfer and Stability16 Sep 2026
- 2026How to Tame Grokking: Representation Geometry as a Control Signal13 Jul 2026
- 2026Radial Suppression Accelerates Algorithmic Generalization: A Geometric Analysis of Delayed Generalization30 Jun 2026
- 2026Deciphering Two Training Clocks in Grokking via Deep Linear Network Theory with Conditional ReLU Reduction4 Jun 2026
- 2026The Geometric Structure of Models Learning Sparse Data8 May 2026
- 2026Grokking or Glitching? How Low-Precision Drives Slingshot Loss Spikes7 May 2026
- 2026To Grok Grokking: Provable Grokking in Ridge Regression27 Jan 2026
- 2026Defenses Against Prompt Attacks Learn Surface Heuristics12 Jan 2026
- 2025When Data Falls Short: Grokking Below the Critical Threshold6 Nov 2025
- 2025Tracing the Path to Grokking: Embeddings, Dropout, and Network Activation15 Jul 2025
- 2025GrokAlign: Geometric Characterisation and Acceleration of Grokking14 Jun 2025
- 2025Mechanistic Insights into Grokking from the Embedding Layer21 May 2025