mlsanityData to 7 Oct 2026

Reverse-Engineered Reasoning for Open-Ended Generation

arXiv 2509.06160 ↗First posted 7 Sep 2025cs.AI cs.CLcited by 32

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Abstract (arXiv)

While the ``deep reasoning'' paradigm has spurred significant advances in verifiable domains like mathematics, its application to open-ended, creative generation remains a critical challenge. The two dominant methods for instilling reasoning -- reinforcement learning (RL) and instruction distillation -- falter in this area; RL struggles with the absence of clear reward signals and high-quality reward models, while distillation is prohibitively expensive and capped by the teacher model's capabilities. To overcome these limitations, we introduce REverse-Engineered Reasoning (REER), a new paradigm that fundamentally shifts the approach. Instead of building a reasoning process ``forwards'' through trial-and-error or imitation, REER works ``backwards'' from known-good solutions to computationally discover the latent, step-by-step deep reasoning process that could have produced them. Using this scalable, gradient-free approach, we curate and open-source DeepWriting-20K, a large-scale dataset of 20,000 deep reasoning trajectories for open-ended tasks. Our model, DeepWriter-8B, trained on this data, not only surpasses strong open-source baselines but also achieves performance competitive with, and at times superior to, leading proprietary models like GPT-4o and Claude 3.5.

Key facts. Cited by 32 papers in the map (data through 7 Oct 2026). Builds on 32 of its 46 references that are in the map. First posted on arXiv 7 Sep 2025.

Builds on

32 of 46 references.

References · 32

  1. 2023GPT-4 Technical Reportcited by 18,132
  2. 2022Training language models to follow instructions with human feedbackcited by 15,712
  3. 2022Chain-of-Thought Prompting Elicits Reasoning in Large Language Modelscited by 12,302
  4. 2024DeepSeekMath: Pushing the Limits of Mathematical Reasoning in Open Language Modelscited by 8,851
  5. 2025DeepSeek-R1: Incentivizing Reasoning Capability in LLMs via Reinforcement Learningcited by 6,146
  6. 2023Self-Refine: Iterative Refinement with Self-Feedbackcited by 3,317
  7. 2023Tree of Thoughts: Deliberate Problem Solving with Large Language Modelscited by 3,155
  8. 2022Self-Instruct: Aligning Language Models with Self-Generated Instructionscited by 2,674
  9. 2025s1: Simple test-time scalingcited by 1,311
  10. 2025Kimi k1.5: Scaling Reinforcement Learning with LLMscited by 1,193
  11. 2022STaR: Bootstrapping Reasoning With Reasoningcited by 895
  12. 2024WildChat: 1M ChatGPT Interaction Logs in the Wildcited by 598
20 more
  1. 2023Reinforced Self-Training (ReST) for Language Modelingcited by 486
  2. 2024Generative Verifiers: Reward Modeling as Next-Token Predictioncited by 465
  3. 2024Training Language Models to Self-Correct via Reinforcement Learningcited by 405
  4. 2025VL-Rethinker: Incentivizing Self-Reflection of Vision-Language Models with Reinforcement Learningcited by 315
  5. 2024Quiet-STaR: Language Models Can Teach Themselves to Think Before Speakingcited by 292
  6. 2025OpenThoughts: Data Recipes for Reasoning Modelscited by 287
  7. 2025Pixel Reasoner: Incentivizing Pixel-Space Reasoning with Curiosity-Driven Reinforcement Learningcited by 267
  8. 2025Deep Think with Confidencecited by 199
  9. 2024OpenMathInstruct-1: A 1.8 Million Math Instruction Tuning Datasetcited by 143
  10. 2024LongWriter: Unleashing 10,000+ Word Generation from Long Context LLMscited by 142
  11. 2025WritingBench: A Comprehensive Benchmark for Generative Writingcited by 95
  12. 2025Reinforcing General Reasoning without Verifierscited by 76
  13. 2023ALIP: Adaptive Language-Image Pre-training with Synthetic Captioncited by 70
  14. 2024HelloBench: Evaluating Long Text Generation Capabilities of Large Language Modelscited by 42
  15. 2025Emergent Hierarchical Reasoning in LLMs through Reinforcement Learningcited by 42
  16. 2025To Code or not to Code? Adaptive Tool Integration for Math Language Models via Expectation-Maximizationcited by 25
  17. 2025FastMCTS: A Simple Sampling Strategy for Data Synthesiscited by 16
  18. 2023Adversarial Constrained Bidding via Minimax Regret Optimization with Causality-Aware Reinforcement Learningcited by 7
  19. 2025RealSyn: An Effective and Scalable Multimodal Interleaved Document Transformation Paradigmcited by 7
  20. 2025Attributes as Textual Genes: Leveraging LLMs as Genetic Algorithm Simulators for Conditional Synthetic Data Generationcited by 5

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Cited by year (2026 to 7 Oct)

Citing papers per year: 2025: 9; 2026: 23.

32 papers.

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  1. 2025Scaling Latent Reasoning via Looped Language Modelscited by 145
  2. 2025Agent0: Unleashing Self-Evolving Agents from Zero Data via Tool-Integrated Reasoningcited by 68
  3. 2026RubricHub: A Comprehensive and Highly Discriminative Rubric Dataset via Automated Coarse-to-Fine Generationcited by 42
  4. 2026ArenaRL: Scaling RL for Open-Ended Agents via Tournament-based Relative Rankingcited by 17
  5. 2026RationalRewards: Reasoning Rewards Scale Visual Generation Both Training and Test Timecited by 11
  6. 2025From Illusion to Intention: Visual Rationale Learning for Vision-Language Reasoningcited by 9
  7. 2025RAVR: Reference-Answer-guided Variational Reasoning for Large Language Modelscited by 7
  8. 2026DPWriter: Reinforcement Learning with Diverse Planning Branching for Creative Writingcited by 6
  9. 2026Bad Seeing or Bad Thinking? Rewarding Perception for Multimodal Reasoningcited by 6
  10. 2026Search Beyond What Can Be Taught: Evolving the Knowledge Boundary in Agentic Visual Generationcited by 6
  11. 2026FIRE: A Comprehensive Benchmark for Financial Intelligence and Reasoning Evaluationcited by 5
  12. 2025Learning to Reason as Action Abstractions with Scalable Mid-Training RLcited by 3
20 more
  1. 2025ssToken: Self-modulated and Semantic-aware Token Selection for LLM Fine-tuningcited by 3
  2. 2025CogDoc: Towards Unified thinking in Documentscited by 3
  3. 2026MOOSE-Star: Unlocking Tractable Training for Scientific Discovery by Breaking the Complexity Barriercited by 3
  4. 2026R2-Write: Reflection and Revision for Open-Ended Writing with Deep Reasoningcited by 3
  5. 2025AIR: Post-training Data Selection for Reasoning via Attention Head Influencecited by 2
  6. 2026From Historical Patches to Repair Plans: Outcome-Conditioned Reasoning for Repository-Level Program Repaircited by 2
  7. 2026ChemVLR: Prioritizing Reasoning in Perception for Chemical Vision-Language Understandingcited by 2
  8. 2026PodBench: A Comprehensive Benchmark for Instruction-Aware Audio-Oriented Podcast Script Generationcited by 1
  9. 2026Measuring and Mitigating Post-hoc Rationalization in Reverse Chain-of-Thought Generationcited by 1
  10. 2026Prompt-Level Reward Specifications for Open-Ended Post-Trainingcited by 1
  11. 2026Co-Evolving Actor-Conditioned Critics for Non-Verifiable Generationcited by 1
  12. 2025CADMorph: Geometry-Driven Parametric CAD Editing via a Plan-Generate-Verify Loopcited by 0
  13. 2026A Training-Free Regeneration Paradigm: Contrastive Reflection Memory Guided Self-Verification and Self-Improvementcited by 0
  14. 2026Triviality Corrected Endogenous Rewardcited by 0
  15. 2026Mind DeepResearch Technical Reportcited by 0
  16. 2026Starve to Perceive: Taming Lazy Perception in VLMs with Constrained Visual Bandwidthcited by 0
  17. 2026IS-CoT: Breaking the Long-form Generation Collapse via Interleaved Structural Thinkingcited by 0
  18. 2026OPERA: Aligning Open-Ended Reasoning via Objective Perplexity-based Reinforcement Learningcited by 0
  19. 2026SpecPath: Testing Coding Agents Across Contract-Equivalent Specification Historiescited by 0
  20. 2026Scaling Creative Writing Beyond Story-Centric Data with Attribute-Guided Genre Expansioncited by 0

Similar, not cited

Close in wording, no citation either way

  1. 2026ReverseMath: Answer Inversion for Scalable and Verifiable Mathematical Problem Generation
  2. 2026ReSyn: Autonomously Scaling Synthetic Environments for Reasoning Models
  3. 2026ReThinker: Scientific Reasoning by Rethinking with Guided Reflection and Confidence Control
  4. 2025Incorporating Self-Rewriting into Large Language Model Reasoning Reinforcement
  5. 2025Revisiting Reinforcement Learning for LLM Reasoning from A Cross-Domain Perspective
  6. 2025ReTool: Reinforcement Learning for Strategic Tool Use in LLMs
  7. 2025SynLogic: Synthesizing Verifiable Reasoning Data at Scale for Learning Logical Reasoning and Beyond
  8. 2025Logic-RL: Unleashing LLM Reasoning with Rule-Based Reinforcement Learning