Reverse-Engineered Reasoning for Open-Ended Generation
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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
- 2023GPT-4 Technical Reportcited by 18,132
- 2022Training language models to follow instructions with human feedbackcited by 15,712
- 2022Chain-of-Thought Prompting Elicits Reasoning in Large Language Modelscited by 12,302
- 2024DeepSeekMath: Pushing the Limits of Mathematical Reasoning in Open Language Modelscited by 8,851
- 2025DeepSeek-R1: Incentivizing Reasoning Capability in LLMs via Reinforcement Learningcited by 6,146
- 2023Self-Refine: Iterative Refinement with Self-Feedbackcited by 3,317
- 2023Tree of Thoughts: Deliberate Problem Solving with Large Language Modelscited by 3,155
- 2022Self-Instruct: Aligning Language Models with Self-Generated Instructionscited by 2,674
- 2025s1: Simple test-time scalingcited by 1,311
- 2025Kimi k1.5: Scaling Reinforcement Learning with LLMscited by 1,193
- 2022STaR: Bootstrapping Reasoning With Reasoningcited by 895
- 2024WildChat: 1M ChatGPT Interaction Logs in the Wildcited by 598
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- 2023Reinforced Self-Training (ReST) for Language Modelingcited by 486
- 2024Generative Verifiers: Reward Modeling as Next-Token Predictioncited by 465
- 2024Training Language Models to Self-Correct via Reinforcement Learningcited by 405
- 2025VL-Rethinker: Incentivizing Self-Reflection of Vision-Language Models with Reinforcement Learningcited by 315
- 2024Quiet-STaR: Language Models Can Teach Themselves to Think Before Speakingcited by 292
- 2025OpenThoughts: Data Recipes for Reasoning Modelscited by 287
- 2025Pixel Reasoner: Incentivizing Pixel-Space Reasoning with Curiosity-Driven Reinforcement Learningcited by 267
- 2025Deep Think with Confidencecited by 199
- 2024OpenMathInstruct-1: A 1.8 Million Math Instruction Tuning Datasetcited by 143
- 2024LongWriter: Unleashing 10,000+ Word Generation from Long Context LLMscited by 142
- 2025WritingBench: A Comprehensive Benchmark for Generative Writingcited by 95
- 2025Reinforcing General Reasoning without Verifierscited by 76
- 2023ALIP: Adaptive Language-Image Pre-training with Synthetic Captioncited by 70
- 2024HelloBench: Evaluating Long Text Generation Capabilities of Large Language Modelscited by 42
- 2025Emergent Hierarchical Reasoning in LLMs through Reinforcement Learningcited by 42
- 2025To Code or not to Code? Adaptive Tool Integration for Math Language Models via Expectation-Maximizationcited by 25
- 2025FastMCTS: A Simple Sampling Strategy for Data Synthesiscited by 16
- 2023Adversarial Constrained Bidding via Minimax Regret Optimization with Causality-Aware Reinforcement Learningcited by 7
- 2025RealSyn: An Effective and Scalable Multimodal Interleaved Document Transformation Paradigmcited by 7
- 2025Attributes as Textual Genes: Leveraging LLMs as Genetic Algorithm Simulators for Conditional Synthetic Data Generationcited by 5
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Citing papers per year: 2025: 9; 2026: 23.
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- 2025Scaling Latent Reasoning via Looped Language Modelscited by 145
- 2025Agent0: Unleashing Self-Evolving Agents from Zero Data via Tool-Integrated Reasoningcited by 68
- 2026RubricHub: A Comprehensive and Highly Discriminative Rubric Dataset via Automated Coarse-to-Fine Generationcited by 42
- 2026ArenaRL: Scaling RL for Open-Ended Agents via Tournament-based Relative Rankingcited by 17
- 2026RationalRewards: Reasoning Rewards Scale Visual Generation Both Training and Test Timecited by 11
- 2025From Illusion to Intention: Visual Rationale Learning for Vision-Language Reasoningcited by 9
- 2025RAVR: Reference-Answer-guided Variational Reasoning for Large Language Modelscited by 7
- 2026DPWriter: Reinforcement Learning with Diverse Planning Branching for Creative Writingcited by 6
- 2026Bad Seeing or Bad Thinking? Rewarding Perception for Multimodal Reasoningcited by 6
- 2026Search Beyond What Can Be Taught: Evolving the Knowledge Boundary in Agentic Visual Generationcited by 6
- 2026FIRE: A Comprehensive Benchmark for Financial Intelligence and Reasoning Evaluationcited by 5
- 2025Learning to Reason as Action Abstractions with Scalable Mid-Training RLcited by 3
20 more
- 2025ssToken: Self-modulated and Semantic-aware Token Selection for LLM Fine-tuningcited by 3
- 2025CogDoc: Towards Unified thinking in Documentscited by 3
- 2026MOOSE-Star: Unlocking Tractable Training for Scientific Discovery by Breaking the Complexity Barriercited by 3
- 2026R2-Write: Reflection and Revision for Open-Ended Writing with Deep Reasoningcited by 3
- 2025AIR: Post-training Data Selection for Reasoning via Attention Head Influencecited by 2
- 2026From Historical Patches to Repair Plans: Outcome-Conditioned Reasoning for Repository-Level Program Repaircited by 2
- 2026ChemVLR: Prioritizing Reasoning in Perception for Chemical Vision-Language Understandingcited by 2
- 2026PodBench: A Comprehensive Benchmark for Instruction-Aware Audio-Oriented Podcast Script Generationcited by 1
- 2026Measuring and Mitigating Post-hoc Rationalization in Reverse Chain-of-Thought Generationcited by 1
- 2026Prompt-Level Reward Specifications for Open-Ended Post-Trainingcited by 1
- 2026Co-Evolving Actor-Conditioned Critics for Non-Verifiable Generationcited by 1
- 2025CADMorph: Geometry-Driven Parametric CAD Editing via a Plan-Generate-Verify Loopcited by 0
- 2026A Training-Free Regeneration Paradigm: Contrastive Reflection Memory Guided Self-Verification and Self-Improvementcited by 0
- 2026Triviality Corrected Endogenous Rewardcited by 0
- 2026Mind DeepResearch Technical Reportcited by 0
- 2026Starve to Perceive: Taming Lazy Perception in VLMs with Constrained Visual Bandwidthcited by 0
- 2026IS-CoT: Breaking the Long-form Generation Collapse via Interleaved Structural Thinkingcited by 0
- 2026OPERA: Aligning Open-Ended Reasoning via Objective Perplexity-based Reinforcement Learningcited by 0
- 2026SpecPath: Testing Coding Agents Across Contract-Equivalent Specification Historiescited by 0
- 2026Scaling Creative Writing Beyond Story-Centric Data with Attribute-Guided Genre Expansioncited by 0
- 2026Co-Evolving Actor-Conditioned Critics for Non-Verifiable Generation31 Aug 2026
- 2026Scaling Creative Writing Beyond Story-Centric Data with Attribute-Guided Genre Expansion14 Aug 2026
- 2026SpecPath: Testing Coding Agents Across Contract-Equivalent Specification Histories10 Aug 2026
- 2026Search Beyond What Can Be Taught: Evolving the Knowledge Boundary in Agentic Visual Generation6 Jul 2026
- 2026OPERA: Aligning Open-Ended Reasoning via Objective Perplexity-based Reinforcement Learning24 Jun 2026
- 2026IS-CoT: Breaking the Long-form Generation Collapse via Interleaved Structural Thinking8 Jun 2026
- 2026Prompt-Level Reward Specifications for Open-Ended Post-Training28 May 2026
- 2026Starve to Perceive: Taming Lazy Perception in VLMs with Constrained Visual Bandwidth18 May 2026
- 2026Bad Seeing or Bad Thinking? Rewarding Perception for Multimodal Reasoning13 May 2026
- 2026Mind DeepResearch Technical Report16 Apr 2026
- 2026RationalRewards: Reasoning Rewards Scale Visual Generation Both Training and Test Time13 Apr 2026
- 2026Triviality Corrected Endogenous Reward13 Apr 2026
20 more
- 2026ChemVLR: Prioritizing Reasoning in Perception for Chemical Vision-Language Understanding8 Apr 2026
- 2026R2-Write: Reflection and Revision for Open-Ended Writing with Deep Reasoning3 Apr 2026
- 2026A Training-Free Regeneration Paradigm: Contrastive Reflection Memory Guided Self-Verification and Self-Improvement20 Mar 2026
- 2026MOOSE-Star: Unlocking Tractable Training for Scientific Discovery by Breaking the Complexity Barrier4 Mar 2026
- 2026FIRE: A Comprehensive Benchmark for Financial Intelligence and Reasoning Evaluation25 Feb 2026
- 2026Measuring and Mitigating Post-hoc Rationalization in Reverse Chain-of-Thought Generation16 Feb 2026
- 2026From Historical Patches to Repair Plans: Outcome-Conditioned Reasoning for Repository-Level Program Repair30 Jan 2026
- 2026PodBench: A Comprehensive Benchmark for Instruction-Aware Audio-Oriented Podcast Script Generation21 Jan 2026
- 2026DPWriter: Reinforcement Learning with Diverse Planning Branching for Creative Writing14 Jan 2026
- 2026RubricHub: A Comprehensive and Highly Discriminative Rubric Dataset via Automated Coarse-to-Fine Generation13 Jan 2026
- 2026ArenaRL: Scaling RL for Open-Ended Agents via Tournament-based Relative Ranking10 Jan 2026
- 2025AIR: Post-training Data Selection for Reasoning via Attention Head Influence15 Dec 2025
- 2025CogDoc: Towards Unified thinking in Documents14 Dec 2025
- 2025CADMorph: Geometry-Driven Parametric CAD Editing via a Plan-Generate-Verify Loop12 Dec 2025
- 2025From Illusion to Intention: Visual Rationale Learning for Vision-Language Reasoning28 Nov 2025
- 2025Agent0: Unleashing Self-Evolving Agents from Zero Data via Tool-Integrated Reasoning20 Nov 2025
- 2025Scaling Latent Reasoning via Looped Language Models29 Oct 2025
- 2025RAVR: Reference-Answer-guided Variational Reasoning for Large Language Models29 Oct 2025
- 2025ssToken: Self-modulated and Semantic-aware Token Selection for LLM Fine-tuning21 Oct 2025
- 2025Learning to Reason as Action Abstractions with Scalable Mid-Training RL30 Sep 2025
- 2025Scaling Latent Reasoning via Looped Language Modelscited by 145
- 2025Agent0: Unleashing Self-Evolving Agents from Zero Data via Tool-Integrated Reasoningcited by 68
- 2025From Illusion to Intention: Visual Rationale Learning for Vision-Language Reasoningcited by 9
- 2025RAVR: Reference-Answer-guided Variational Reasoning for Large Language Modelscited by 7
- 2026Bad Seeing or Bad Thinking? Rewarding Perception for Multimodal Reasoningcited by 6
- 2026FIRE: A Comprehensive Benchmark for Financial Intelligence and Reasoning Evaluationcited by 5
- 2025Learning to Reason as Action Abstractions with Scalable Mid-Training RLcited by 3
- 2026MOOSE-Star: Unlocking Tractable Training for Scientific Discovery by Breaking the Complexity Barriercited by 3
- 2026R2-Write: Reflection and Revision for Open-Ended Writing with Deep Reasoningcited by 3
- 2025AIR: Post-training Data Selection for Reasoning via Attention Head Influencecited by 2
- 2026From Historical Patches to Repair Plans: Outcome-Conditioned Reasoning for Repository-Level Program Repaircited by 2
- 2026ChemVLR: Prioritizing Reasoning in Perception for Chemical Vision-Language Understandingcited by 2
12 most cited of 15 All 15 (JSON)
- 2026OPERA: Aligning Open-Ended Reasoning via Objective Perplexity-based Reinforcement Learning24 Jun 2026
- 2026IS-CoT: Breaking the Long-form Generation Collapse via Interleaved Structural Thinking8 Jun 2026
- 2026Bad Seeing or Bad Thinking? Rewarding Perception for Multimodal Reasoning13 May 2026
- 2026ChemVLR: Prioritizing Reasoning in Perception for Chemical Vision-Language Understanding8 Apr 2026
- 2026R2-Write: Reflection and Revision for Open-Ended Writing with Deep Reasoning3 Apr 2026
- 2026MOOSE-Star: Unlocking Tractable Training for Scientific Discovery by Breaking the Complexity Barrier4 Mar 2026
- 2026FIRE: A Comprehensive Benchmark for Financial Intelligence and Reasoning Evaluation25 Feb 2026
- 2026Measuring and Mitigating Post-hoc Rationalization in Reverse Chain-of-Thought Generation16 Feb 2026
- 2026From Historical Patches to Repair Plans: Outcome-Conditioned Reasoning for Repository-Level Program Repair30 Jan 2026
- 2025AIR: Post-training Data Selection for Reasoning via Attention Head Influence15 Dec 2025
- 2025From Illusion to Intention: Visual Rationale Learning for Vision-Language Reasoning28 Nov 2025
- 2025Agent0: Unleashing Self-Evolving Agents from Zero Data via Tool-Integrated Reasoning20 Nov 2025
12 newest of 15 All 15 (JSON)
- 2026RubricHub: A Comprehensive and Highly Discriminative Rubric Dataset via Automated Coarse-to-Fine Generationcited by 42
- 2026DPWriter: Reinforcement Learning with Diverse Planning Branching for Creative Writingcited by 6
- 2025ssToken: Self-modulated and Semantic-aware Token Selection for LLM Fine-tuningcited by 3
- 2025CogDoc: Towards Unified thinking in Documentscited by 3
- 2026PodBench: A Comprehensive Benchmark for Instruction-Aware Audio-Oriented Podcast Script Generationcited by 1
- 2026Co-Evolving Actor-Conditioned Critics for Non-Verifiable Generationcited by 1
- 2025CADMorph: Geometry-Driven Parametric CAD Editing via a Plan-Generate-Verify Loopcited by 0
- 2026Triviality Corrected Endogenous Rewardcited by 0
- 2026Mind DeepResearch Technical Reportcited by 0
- 2026Scaling Creative Writing Beyond Story-Centric Data with Attribute-Guided Genre Expansioncited by 0
- 2026Co-Evolving Actor-Conditioned Critics for Non-Verifiable Generation31 Aug 2026
- 2026Scaling Creative Writing Beyond Story-Centric Data with Attribute-Guided Genre Expansion14 Aug 2026
- 2026Mind DeepResearch Technical Report16 Apr 2026
- 2026Triviality Corrected Endogenous Reward13 Apr 2026
- 2026PodBench: A Comprehensive Benchmark for Instruction-Aware Audio-Oriented Podcast Script Generation21 Jan 2026
- 2026DPWriter: Reinforcement Learning with Diverse Planning Branching for Creative Writing14 Jan 2026
- 2026RubricHub: A Comprehensive and Highly Discriminative Rubric Dataset via Automated Coarse-to-Fine Generation13 Jan 2026
- 2025CogDoc: Towards Unified thinking in Documents14 Dec 2025
- 2025CADMorph: Geometry-Driven Parametric CAD Editing via a Plan-Generate-Verify Loop12 Dec 2025
- 2025ssToken: Self-modulated and Semantic-aware Token Selection for LLM Fine-tuning21 Oct 2025
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- 2026ReverseMath: Answer Inversion for Scalable and Verifiable Mathematical Problem Generation
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