Thinking Sparks!: Emergent Attention Heads in Reasoning Models During Post Training
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
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- 2025Effectively Controlling Reasoning Models through Thinking Intervention31 Mar
- 2025A Survey on Test-Time Scaling in Large Language Models: What, How, Where, and How Well?31 Mar
- 2025Stop Overthinking: A Survey on Efficient Reasoning for Large Language Models20 Mar
- 2024Do NOT Think That Much for 2+3=? On the Overthinking of o1-Like LLMs30 Dec
- 2024Inference Scaling Laws: An Empirical Analysis of Compute-Optimal Inference for Problem-Solving with Language Models1 Aug
- 2024ReFT: Reasoning with Reinforced Fine-Tuning17 Jan
Other references · 45
- 2017Attention Is All You Needcited by 60,361
- 2022Training language models to follow instructions with human feedbackcited by 15,971
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- 2022Chain-of-Thought Prompting Elicits Reasoning in Large Language Modelscited by 12,459
- 2021Training Verifiers to Solve Math Word Problemscited by 10,109
- 2024DeepSeekMath: Pushing the Limits of Mathematical Reasoning in Open Language Modelscited by 9,379
- 2025Qwen3 Technical Reportcited by 8,820
- 2021Evaluating Large Language Models Trained on Codecited by 8,320
- 2023Let's Verify Step by Stepcited by 3,789
- 2021Finetuned Language Models Are Zero-Shot Learnerscited by 3,780
- 2017TriviaQA: A Large Scale Distantly Supervised Challenge Dataset for Reading Comprehensioncited by 2,955
- 2023GPQA: A Graduate-Level Google-Proof Q&A Benchmarkcited by 2,879
33 more
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- 2019Analyzing Multi-Head Self-Attention: Specialized Heads Do the Heavy Lifting, the Rest Can Be Prunedcited by 856
- 2023Progress measures for grokking via mechanistic interpretabilitycited by 839
- 2019Are Sixteen Heads Really Better than One?cited by 816
- 2023Towards Automated Circuit Discovery for Mechanistic Interpretabilitycited by 724
- 2025SFT Memorizes, RL Generalizes: A Comparative Study of Foundation Model Post-trainingcited by 672
- 2024Sparse Feature Circuits: Discovering and Editing Interpretable Causal Graphs in Language Modelscited by 435
- 2024Mechanistic Interpretability for AI Safety -- A Reviewcited by 422
- 2023Finding Neurons in a Haystack: Case Studies with Sparse Probingcited by 334
- 2024Transcoders Find Interpretable LLM Feature Circuitscited by 200
- 2025A Survey of Reinforcement Learning for Large Reasoning Modelscited by 180
- 2025Light-R1: Curriculum SFT, DPO and RL for Long COT from Scratch and Beyondcited by 175
- 2024Fine-Tuning Enhances Existing Mechanisms: A Case Study on Entity Trackingcited by 149
- 2024Have Faith in Faithfulness: Going Beyond Circuit Overlap When Finding Model Mechanismscited by 149
- 2024OpenMathInstruct-1: A 1.8 Million Math Instruction Tuning Datasetcited by 143
- 2024Llama Scope: Extracting Millions of Features from Llama-3.1-8B with Sparse Autoencoderscited by 143
- 2023The mechanistic basis of data dependence and abrupt learning in an in-context classification taskcited by 118
- 2024Arithmetic Without Algorithms: Language Models Solve Math With a Bag of Heuristicscited by 97
- 2022Polysemanticity and Capacity in Neural Networkscited by 77
- 2024Training Large Language Models for Reasoning through Reverse Curriculum Reinforcement Learningcited by 65
- 2023Knowledge-Augmented Reasoning Distillation for Small Language Models in Knowledge-Intensive Taskscited by 64
- 2025Which Attention Heads Matter for In-Context Learning?cited by 61
- 2024Knowledge Circuits in Pretrained Transformerscited by 60
- 2024How to think step-by-step: A mechanistic understanding of chain-of-thought reasoningcited by 53
- 2025Reinforcement Learning Finetunes Small Subnetworks in Large Language Modelscited by 49
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Built on by
Citing papers per year: 2026: 8.
8 papers.
- 2026Towards a Mechanistic Understanding of Large Reasoning Models: A Survey of Training, Inference, and Failurescited by 6
- 2026Improving Chain-of-Thought for Logical Reasoning via Attention-Aware Interventioncited by 3
- 2026Rethinking RL for LLM Reasoning: It's Sparse Policy Selection, Not Capability Learningcited by 3
- 2026</think> Doesn't Stop Reasoning: Analysis of Spurious CoT Terminationcited by 1
- 2026Beyond Shallow Alignment: How Post-Training Methods Determine Refusal Circuits And Steering Robustnesscited by 1
- 2026OBC-Prune: Outcome-Based Calibration for Large Reasoning Model Pruningcited by 1
- 2026Towards Efficient Reasoning in LLM-Based Recommender Systems via Model Mergingcited by 0
- 2026The Emergence of Relevance Through Axiomatic Attention Patterns During LoRA Fine-Tuningcited by 0
- 2026OBC-Prune: Outcome-Based Calibration for Large Reasoning Model Pruning15 Sep 2026
- 2026Beyond Shallow Alignment: How Post-Training Methods Determine Refusal Circuits And Steering Robustness3 Sep 2026
- 2026</think> Doesn't Stop Reasoning: Analysis of Spurious CoT Termination3 Sep 2026
- 2026The Emergence of Relevance Through Axiomatic Attention Patterns During LoRA Fine-Tuning24 Aug 2026
- 2026Towards Efficient Reasoning in LLM-Based Recommender Systems via Model Merging11 Aug 2026
- 2026Rethinking RL for LLM Reasoning: It's Sparse Policy Selection, Not Capability Learning7 May 2026
- 2026Improving Chain-of-Thought for Logical Reasoning via Attention-Aware Intervention14 Jan 2026
- 2026Towards a Mechanistic Understanding of Large Reasoning Models: A Survey of Training, Inference, and Failures11 Jan 2026
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