mlsanityData to 14 Oct 2026

Thinking Sparks!: Emergent Attention Heads in Reasoning Models During Post Training

arXiv 2509.25758 ↗First posted 30 Sep 2025cs.AIcited by 8

On the map: LLM reasoning → Test-time compute and efficient thinking

Abstract (arXiv)

The remarkable capabilities of modern large reasoning models are largely unlocked through post-training techniques such as supervised fine-tuning (SFT) and reinforcement learning (RL). However, the architectural mechanisms behind such improvements remain largely opaque. In this work, we use circuit analysis to demonstrate that post-training for complex reasoning sparks the emergence of novel, functionally specialized attention heads. These heads collectively support structured reasoning and computation. Our comparative analysis across various model families reveals that these emergent heads evolve differently under different training regimes. Distillation and SFT foster a cumulative addition of stable reasoning heads. In contrast, group relative policy optimization (GRPO) operates in a dynamic search mode: relatively few attention heads are iteratively activated, evaluated, and pruned, with their survival closely tracking fluctuations in the task reward signal. Furthermore, we find that controllable "think on/off" models do not possess dedicated "thinking" heads. Instead, turning off explicit reasoning triggers a broader-but less efficient-set of compensatory heads. Through ablation and qualitative analyses, we connect these circuit-level dynamics to a crucial performance trade-off: strengthened heads enable sophisticated problem-solving strategies for difficult problems but can also introduce "over-thinking" failure modes, such as calculation errors or logical loops on simpler tasks. These findings connect circuit-level dynamics to macro-level performance, identifying an inherent tension where complex reasoning comes at the cost of elementary computations. More broadly, our work points to future directions for training policy design, emphasizing the need to balance the development of effective reasoning strategies with the assurance of reliable, flawless execution.

Key facts. Cited by 8 papers in the map (data through 14 Oct 2026). Placed in Test-time compute and efficient thinking, one of 17 directions in LLM reasoning. Builds on 55 of its 74 references that are in the map. First posted on arXiv 30 Sep 2025.

Builds on

55 of 74 references.

Closest ancestors · 10

Same direction, newest first

  1. 2025gpt-oss-120b & gpt-oss-20b Model Card8 Aug
  2. 2025When to Continue Thinking: Adaptive Thinking Mode Switching for Efficient Reasoning21 May
  3. 2025Learning When to Think: Shaping Adaptive Reasoning in R1-Style Models via Multi-Stage RL16 May
  4. 2025Reasoning Models Can Be Effective Without Thinking14 Apr
  5. 2025Effectively Controlling Reasoning Models through Thinking Intervention31 Mar
  6. 2025A Survey on Test-Time Scaling in Large Language Models: What, How, Where, and How Well?31 Mar
  7. 2025Stop Overthinking: A Survey on Efficient Reasoning for Large Language Models20 Mar
  8. 2024Do NOT Think That Much for 2+3=? On the Overthinking of o1-Like LLMs30 Dec
  9. 2024Inference Scaling Laws: An Empirical Analysis of Compute-Optimal Inference for Problem-Solving with Language Models1 Aug
  10. 2024ReFT: Reasoning with Reinforced Fine-Tuning17 Jan

Other references · 45

  1. 2017Attention Is All You Needcited by 60,361
  2. 2022Training language models to follow instructions with human feedbackcited by 15,971
  3. 2017Proximal Policy Optimization Algorithmscited by 15,215
  4. 2022Chain-of-Thought Prompting Elicits Reasoning in Large Language Modelscited by 12,459
  5. 2021Training Verifiers to Solve Math Word Problemscited by 10,109
  6. 2024DeepSeekMath: Pushing the Limits of Mathematical Reasoning in Open Language Modelscited by 9,379
  7. 2025Qwen3 Technical Reportcited by 8,820
  8. 2021Evaluating Large Language Models Trained on Codecited by 8,320
  9. 2023Let's Verify Step by Stepcited by 3,789
  10. 2021Finetuned Language Models Are Zero-Shot Learnerscited by 3,780
  11. 2017TriviaQA: A Large Scale Distantly Supervised Challenge Dataset for Reading Comprehensioncited by 2,955
  12. 2023GPQA: A Graduate-Level Google-Proof Q&A Benchmarkcited by 2,879
33 more
  1. 2022Interpretability in the Wild: a Circuit for Indirect Object Identification in GPT-2 smallcited by 1,165
  2. 2024Qwen2.5-Math Technical Report: Toward Mathematical Expert Model via Self-Improvementcited by 1,090
  3. 2025Does Reinforcement Learning Really Incentivize Reasoning Capacity in LLMs Beyond the Base Model?cited by 982
  4. 2022Toy Models of Superpositioncited by 971
  5. 2019Analyzing Multi-Head Self-Attention: Specialized Heads Do the Heavy Lifting, the Rest Can Be Prunedcited by 856
  6. 2023Progress measures for grokking via mechanistic interpretabilitycited by 839
  7. 2019Are Sixteen Heads Really Better than One?cited by 816
  8. 2023Towards Automated Circuit Discovery for Mechanistic Interpretabilitycited by 724
  9. 2025SFT Memorizes, RL Generalizes: A Comparative Study of Foundation Model Post-trainingcited by 672
  10. 2024Sparse Feature Circuits: Discovering and Editing Interpretable Causal Graphs in Language Modelscited by 435
  11. 2024Mechanistic Interpretability for AI Safety -- A Reviewcited by 422
  12. 2023Finding Neurons in a Haystack: Case Studies with Sparse Probingcited by 334
  13. 2024Transcoders Find Interpretable LLM Feature Circuitscited by 200
  14. 2025A Survey of Reinforcement Learning for Large Reasoning Modelscited by 180
  15. 2025Light-R1: Curriculum SFT, DPO and RL for Long COT from Scratch and Beyondcited by 175
  16. 2024Fine-Tuning Enhances Existing Mechanisms: A Case Study on Entity Trackingcited by 149
  17. 2024Have Faith in Faithfulness: Going Beyond Circuit Overlap When Finding Model Mechanismscited by 149
  18. 2024OpenMathInstruct-1: A 1.8 Million Math Instruction Tuning Datasetcited by 143
  19. 2024Llama Scope: Extracting Millions of Features from Llama-3.1-8B with Sparse Autoencoderscited by 143
  20. 2023The mechanistic basis of data dependence and abrupt learning in an in-context classification taskcited by 118
  21. 2024Arithmetic Without Algorithms: Language Models Solve Math With a Bag of Heuristicscited by 97
  22. 2022Polysemanticity and Capacity in Neural Networkscited by 77
  23. 2024Training Large Language Models for Reasoning through Reverse Curriculum Reinforcement Learningcited by 65
  24. 2023Knowledge-Augmented Reasoning Distillation for Small Language Models in Knowledge-Intensive Taskscited by 64
  25. 2025Which Attention Heads Matter for In-Context Learning?cited by 61
  26. 2024Knowledge Circuits in Pretrained Transformerscited by 60
  27. 2024How to think step-by-step: A mechanistic understanding of chain-of-thought reasoningcited by 53
  28. 2025Reinforcement Learning Finetunes Small Subnetworks in Large Language Modelscited by 49
  29. 2024Iteration Head: A Mechanistic Study of Chain-of-Thoughtcited by 31
  30. 2024Optimal ablation for interpretabilitycited by 25
  31. 2025How Do LLMs Acquire New Knowledge? A Knowledge Circuits Perspective on Continual Pre-Trainingcited by 23
  32. 2025Does Time Have Its Place? Temporal Heads: Where Language Models Recall Time-specific Informationcited by 15
  33. 2025Scalpel vs. Hammer: GRPO Amplifies Existing Capabilities, SFT Replaces Themcited by 15

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Cited by year (2026 to 14 Oct)

Citing papers per year: 2026: 8.

8 papers.

Similar, not cited

Close in wording, no citation either way

  1. 2025Attention Illuminates LLM Reasoning: The Preplan-and-Anchor Rhythm Enables Fine-Grained Policy Optimization
  2. 2025Thinking About Thinking: Evaluating Reasoning in Post-Trained Language Models
  3. 2026When Reasoning Goes Astray: Attention Dynamics of Uncontrolled Reasoning
  4. 2025Cognitive Mirrors: Exploring the Diverse Functional Roles of Attention Heads in LLM Reasoning
  5. 2026Reasoning Fine-Tuning Induces Persistent Latent Policy States
  6. 2025When Can Large Reasoning Models Save Thinking? Mechanistic Analysis of Behavioral Divergence in Reasoning
  7. 2026Revealing Algorithmic Deductive Circuits for Logical Reasoning
  8. 2026Reasoning as State Transition: A Representational Analysis of Reasoning Evolution in Large Language Models