Complexity Control Facilitates Reasoning-Based Compositional Generalization in Transformers
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Abstract (arXiv)
Transformers have demonstrated impressive capabilities across various tasks, yet their performance on compositional problems remains a subject of debate. In this study, we investigate the internal mechanisms underlying Transformers' behavior in compositional tasks. We find that complexity control strategies significantly influence whether the model learns primitive-level rules that generalize out-of-distribution (reasoning-based solutions) or relies solely on memorized mappings (memory-based solutions). By applying masking strategies to the model's information circuits and employing multiple complexity metrics, we reveal distinct internal working mechanisms associated with different solution types. Further analysis reveals that reasoning-based solutions exhibit a lower complexity bias, which aligns with the well-studied neuron condensation phenomenon. This lower complexity bias is hypothesized to be the key factor enabling these solutions to learn reasoning rules. We validate these conclusions across multiple real-world datasets, including image generation and natural language processing tasks, confirming the broad applicability of our findings.
Key facts. Cited by 19 papers in the map (data through 7 Oct 2026). Builds on 56 of its 82 references that are in the map. First posted on arXiv 15 Jan 2025.
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56 of 82 references.
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Citing papers per year: 2025: 10; 2026: 9.
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- 2025Towards Reasoning Era: A Survey of Long Chain-of-Thought for Reasoning Large Language Modelscited by 381
- 2025An Analysis for Reasoning Bias of Language Models with Small Initializationcited by 13
- 2025An overview of condensation phenomenon in deep learningcited by 13
- 2025Adaptive Preconditioners Trigger Loss Spikes in Adamcited by 10
- 2026Do Latent-CoT Models Think Step-by-Step? A Mechanistic Study on Sequential Reasoning Taskscited by 10
- 2025From Condensation to Rank Collapse: A Two-Stage Analysis of Transformer Training Dynamicscited by 9
- 2025An explainable transformer circuit for compositional generalizationcited by 8
- 2026Weight Decay Improves Language Model Plasticitycited by 4
- 2025Achilles' Heel of Mamba: Essential difficulties of the Mamba architecture demonstrated by synthetic datacited by 3
- 2025Unveiling the Mechanisms of Multi-Hop Reasoning in Transformers via Identity Bridgecited by 3
- 2025Scalable Complexity Control Facilitates Reasoning Ability of LLMscited by 1
- 2025Frequency-Aware Ensemble Learning for BraTS 2025 Pediatric Brain Tumor Segmentationcited by 1
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- 2026The Stability of Singular Distribution: A Spectral Perspective on the Two-Phase Dynamics of Language Model Pre-trainingcited by 0
- 2026Small Initialization Matters for Large Language Modelscited by 0
- 2026Gauging, Measuring, and Controlling Critic Complexity in Actor-Critic Reinforcement Learningcited by 0
- 2026Complexity-Guided Component-wise Initialization for Language Model Pretrainingcited by 0
- 2026Complexity-Guided Component-wise Initialization for Language Model Pretraining10 Jul 2026
- 2026Gauging, Measuring, and Controlling Critic Complexity in Actor-Critic Reinforcement Learning1 Jul 2026
- 2026Small Initialization Matters for Large Language Models16 Jun 2026
- 2026The Stability of Singular Distribution: A Spectral Perspective on the Two-Phase Dynamics of Language Model Pre-training26 May 2026
- 2026Critical Windows of Complexity Control: When Transformers Decide to Reason or Memorize6 May 2026
- 2026Weight Decay Improves Language Model Plasticity11 Feb 2026
- 2026Do Latent-CoT Models Think Step-by-Step? A Mechanistic Study on Sequential Reasoning Tasks31 Jan 2026
- 2026Towards Compositional Generalization in LLMs for Smart Contract Security: A Case Study on Reentrancy Vulnerabilities11 Jan 2026
- 2026Opening the Black Box: A Survey on the Mechanisms of Multi-Step Reasoning in Large Language Models2 Jan 2026
- 2025From Condensation to Rank Collapse: A Two-Stage Analysis of Transformer Training Dynamics8 Oct 2025
- 2025Unveiling the Mechanisms of Multi-Hop Reasoning in Transformers via Identity Bridge29 Sep 2025
- 2025Achilles' Heel of Mamba: Essential difficulties of the Mamba architecture demonstrated by synthetic data22 Sep 2025
7 more
- 2025Frequency-Aware Ensemble Learning for BraTS 2025 Pediatric Brain Tumor Segmentation18 Sep 2025
- 2025Adaptive Preconditioners Trigger Loss Spikes in Adam5 Jun 2025
- 2025Scalable Complexity Control Facilitates Reasoning Ability of LLMs29 May 2025
- 2025An overview of condensation phenomenon in deep learning13 Apr 2025
- 2025Towards Reasoning Era: A Survey of Long Chain-of-Thought for Reasoning Large Language Models12 Mar 2025
- 2025An explainable transformer circuit for compositional generalization19 Feb 2025
- 2025An Analysis for Reasoning Bias of Language Models with Small Initialization5 Feb 2025
- 2025Towards Reasoning Era: A Survey of Long Chain-of-Thought for Reasoning Large Language Modelscited by 381
- 2025An Analysis for Reasoning Bias of Language Models with Small Initializationcited by 13
- 2026Do Latent-CoT Models Think Step-by-Step? A Mechanistic Study on Sequential Reasoning Taskscited by 10
- 2025Unveiling the Mechanisms of Multi-Hop Reasoning in Transformers via Identity Bridgecited by 3
- 2025Scalable Complexity Control Facilitates Reasoning Ability of LLMscited by 1
- 2026Opening the Black Box: A Survey on the Mechanisms of Multi-Step Reasoning in Large Language Modelscited by 1
- 2026Do Latent-CoT Models Think Step-by-Step? A Mechanistic Study on Sequential Reasoning Tasks31 Jan 2026
- 2026Opening the Black Box: A Survey on the Mechanisms of Multi-Step Reasoning in Large Language Models2 Jan 2026
- 2025Unveiling the Mechanisms of Multi-Hop Reasoning in Transformers via Identity Bridge29 Sep 2025
- 2025Scalable Complexity Control Facilitates Reasoning Ability of LLMs29 May 2025
- 2025Towards Reasoning Era: A Survey of Long Chain-of-Thought for Reasoning Large Language Models12 Mar 2025
- 2025An Analysis for Reasoning Bias of Language Models with Small Initialization5 Feb 2025
- 2025An overview of condensation phenomenon in deep learningcited by 13
- 2025Adaptive Preconditioners Trigger Loss Spikes in Adamcited by 10
- 2025From Condensation to Rank Collapse: A Two-Stage Analysis of Transformer Training Dynamicscited by 9
- 2025An explainable transformer circuit for compositional generalizationcited by 8
- 2026Weight Decay Improves Language Model Plasticitycited by 4
- 2025Frequency-Aware Ensemble Learning for BraTS 2025 Pediatric Brain Tumor Segmentationcited by 1
- 2026Critical Windows of Complexity Control: When Transformers Decide to Reason or Memorizecited by 1
- 2026Towards Compositional Generalization in LLMs for Smart Contract Security: A Case Study on Reentrancy Vulnerabilitiescited by 0
- 2026The Stability of Singular Distribution: A Spectral Perspective on the Two-Phase Dynamics of Language Model Pre-trainingcited by 0
- 2026Small Initialization Matters for Large Language Modelscited by 0
- 2026Gauging, Measuring, and Controlling Critic Complexity in Actor-Critic Reinforcement Learningcited by 0
- 2026Complexity-Guided Component-wise Initialization for Language Model Pretrainingcited by 0
- 2026Complexity-Guided Component-wise Initialization for Language Model Pretraining10 Jul 2026
- 2026Gauging, Measuring, and Controlling Critic Complexity in Actor-Critic Reinforcement Learning1 Jul 2026
- 2026Small Initialization Matters for Large Language Models16 Jun 2026
- 2026The Stability of Singular Distribution: A Spectral Perspective on the Two-Phase Dynamics of Language Model Pre-training26 May 2026
- 2026Critical Windows of Complexity Control: When Transformers Decide to Reason or Memorize6 May 2026
- 2026Weight Decay Improves Language Model Plasticity11 Feb 2026
- 2026Towards Compositional Generalization in LLMs for Smart Contract Security: A Case Study on Reentrancy Vulnerabilities11 Jan 2026
- 2025From Condensation to Rank Collapse: A Two-Stage Analysis of Transformer Training Dynamics8 Oct 2025
- 2025Frequency-Aware Ensemble Learning for BraTS 2025 Pediatric Brain Tumor Segmentation18 Sep 2025
- 2025Adaptive Preconditioners Trigger Loss Spikes in Adam5 Jun 2025
- 2025An overview of condensation phenomenon in deep learning13 Apr 2025
- 2025An explainable transformer circuit for compositional generalization19 Feb 2025