mlsanityData to 7 Oct 2026

Recursive Self-Aggregation Unlocks Deep Thinking in Large Language Models

arXiv 2509.26626 ↗First posted 30 Sep 2025cs.LGcited by 30

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

Abstract (arXiv)

Test-time scaling methods improve the capabilities of large language models (LLMs) by increasing the amount of compute used during inference to make a prediction. Inference-time compute can be scaled in parallel by choosing among multiple independent solutions or sequentially through self-refinement. We propose Recursive Self-Aggregation (RSA), a test-time scaling method inspired by evolutionary methods that combines the benefits of both parallel and sequential scaling. Each step of RSA refines a population of candidate reasoning chains through aggregation of subsets to yield a population of improved solutions, which are then used as the candidate pool for the next iteration. Empirically, RSA delivers substantial performance gains with increasing compute budgets across diverse tasks, model families and sizes. Notably, RSA with Gemini 3 Flash attains performance near the top of the ARC-AGI-2 public leaderboard. RSA also enables Qwen3-4B-Instruct-2507 to achieve competitive performance with larger reasoning models, including DeepSeek-R1 and o3-mini (high), outperforming purely parallel and sequential scaling strategies across AIME-25, HMMT-25, Reasoning Gym, LiveCodeBench-v6, and SuperGPQA. We further propose a novel aggregation-aware reinforcement learning approach that yields significant performance gains by training the model to combine solutions.

Key facts. Cited by 30 papers in the map (data through 7 Oct 2026). Placed in Test-time compute and efficient thinking, one of 17 directions in LLM reasoning. Builds on 14 of its 50 references that are in the map. First posted on arXiv 30 Sep 2025.

Builds on

14 of 50 references.

Closest ancestors · 5

Same direction, newest first

  1. 2025Learning to Refine: Self-Refinement of Parallel Reasoning in LLMs27 Aug
  2. 2025DynScaling: Efficient Verifier-free Inference Scaling via Dynamic and Integrated Sampling19 Jun
  3. 2025A Survey on Test-Time Scaling in Large Language Models: What, How, Where, and How Well?31 Mar
  4. 2025Evolving Deeper LLM Thinking17 Jan
  5. 2023Diversity of Thought Improves Reasoning Abilities of LLMs11 Oct

Other references · 9

  1. 2021Training Verifiers to Solve Math Word Problemscited by 9,743
  2. 2024DeepSeekMath: Pushing the Limits of Mathematical Reasoning in Open Language Modelscited by 8,851
  3. 2020Scaling Laws for Neural Language Modelscited by 6,411
  4. 2024OpenAI o1 System Cardcited by 1,220
  5. 2025AlphaEvolve: A coding agent for scientific and algorithmic discoverycited by 763
  6. 2025GEPA: Reflective Prompt Evolution Can Outperform Reinforcement Learningcited by 449
  7. 2025ARC-AGI-2: A New Challenge for Frontier AI Reasoning Systemscited by 171
  8. 2025The Majority is not always right: RL training for solution aggregationcited by 46
  9. 2025LLMs Can Generate a Better Answer by Aggregating Their Own Responsescited by 27

Built on by

Cited by year (2026 to 7 Oct)

Citing papers per year: 2025: 2; 2026: 28.

30 papers.

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By area:

  1. 2025Block-Recurrent Dynamics in Vision Transformerscited by 16
  2. 2026Reasoning Cache: Continual Improvement Over Long Horizons via Short-Horizon RLcited by 11
  3. 2026Scaling Test-Time Compute for Agentic Codingcited by 11
  4. 2026Test-time Recursive Thinking: Self-Improvement without External Feedbackcited by 7
  5. 2026Do explanations generalize across large reasoning models?cited by 5
  6. 2026Conversation for Non-verifiable Learning: Self-Evolving LLMs through Meta-Evaluationcited by 5
  7. 2026ZAYA1-8B Technical Reportcited by 4
  8. 2026On Test-Time Scaling for Vision-Language Modelscited by 4
  9. 2026Contextual Drag: How Errors in the Context Affect LLM Reasoningcited by 3
  10. 2026PRISM: Pushing the Frontier of Deep Think via Process Reward Model-Guided Inferencecited by 3
  11. 2026Reasoning over mathematical objects: on-policy reward modeling and test time aggregationcited by 3
  12. 2026Understanding Performance Gap Between Parallel and Sequential Sampling in Large Reasoning Modelscited by 3
18 more
  1. 2026SPIRAL: Learning to Search and Aggregatecited by 3
  2. 2026FrogNano: Training a 4B Coding Agent via Online Task Synthesiscited by 3
  3. 2026QED-Nano: Teaching a Tiny Model to Prove Hard Theoremscited by 2
  4. 2026Test-Time Learning with an Evolving Librarycited by 2
  5. 2025MatryoshkaThinking: Recursive Test-Time Scaling Enables Efficient Reasoningcited by 1
  6. 2026Correct Prediction, Wrong Steps? Consensus Reasoning Knowledge Graph for Robust Chain-of-Thought Synthesiscited by 1
  7. 2026CAPS: Cascaded Adaptive Pairwise Selection for Efficient Parallel Reasoningcited by 1
  8. 2026Comprehensive AI governance requires addressing non-model gainscited by 1
  9. 2026Stage-Replay Divergence Follows the KV Cache: Fixed-Prefix Precision Controls and Bidirectional Cache Transplantationcited by 1
  10. 2026Caterpillar of Thoughts: The Optimal Test-Time Algorithm for Large Language Modelscited by 0
  11. 2026Theoretical Foundations of max@k Reinforcement Learningcited by 0
  12. 2026Test-Time Scaling via Error Localizationcited by 0
  13. 2026Recursive Vision Language Models for General Symbolic Reasoningcited by 0
  14. 2026Consilience for Verifier-Free Test-Time Scalingcited by 0
  15. 2026Selection, Recombination, or a Fresh Solve? A Candidate-Free Control for Single-Pass Test-Time Aggregationcited by 0
  16. 2026Strategically Diverse Sampling for Self-Trainingcited by 0
  17. 2026Hermes: Learning Contextual Reasoning Unlocks Test-Time Scalingcited by 0
  18. 2026Towards Better Exploration in Sequential Test-Time Scalingcited by 0

Similar, not cited

Close in wording, no citation either way

  1. 2025Scaling up Test-Time Compute with Latent Reasoning: A Recurrent Depth Approach
  2. 2025The Art of Scaling Test-Time Compute for Large Language Models
  3. 2025SETS: Leveraging Self-Verification and Self-Correction for Improved Test-Time Scaling
  4. 2025Rethinking Inference-Time Scaling: Efficiency Limits and Linguistic Signals
  5. 2026Divergent-Convergent Reasoning: Scaling Test-Time Compute through Structured Solution Synthesis
  6. 2025The Sequential Edge: Inverse-Entropy Voting Beats Parallel Self-Consistency at Matched Compute
  7. 2025First Finish Search: Efficient Test-Time Scaling in Large Language Models
  8. 2025Learning Adaptive Parallel Reasoning with Language Models