Challenge: Recent advances in reasoning language models have witnessed a paradigm shift from short to long CoT pattern.
Approach: They propose a behavior-constrained policy gradient with negative sample augmented (BCPG-NSA) negative steps are valuable components in long CoT models, authors argue .
Outcome: The proposed framework outperforms baselines on math/coding reasoning benchmarks using the same training dataset.

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Save the Good Prefix: Precise Error Penalization via Process-Supervised RL to Enhance LLM Reasoning (2026.findings-acl)

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Challenge: Existing reinforcement learning methods rely on sparse outcome rewards, which fail to credit correct intermediate steps in partially successful solutions.
Approach: They propose a process reward model that rewards correct steps only when they detect errors . they propose VPPO, which rewards the correct prefix and an erroneous suffix .
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Learning from Mistakes: Negative Reasoning Samples Enhance Out-of-Domain Generalization (2026.acl-long)

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Challenge: Recent studies show that supervised fine-tuning (SFT) is a common approach for reasoning in large language models.
Approach: They propose to use supervised fine-tuning (SFT) on chain-of-thought trajectories demonstrations . they find that incorporating negative traxories yields substantial OOD generalization gains .
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From Data-Centric to Sample-Centric: Enhancing LLM Reasoning via Progressive Optimization (2026.acl-long)

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Challenge: Reinforcement learning with verifiable rewards (RLVR) has recently advanced the reasoning capabilities of large language models (LLMs).
Approach: They propose a method that incorporates partial solution prefixes from expert demonstrations to guide the policy.
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Fixing Distribution Shifts of LLM Self-Critique via On-Policy Self-Play Training (2025.acl-long)

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Challenge: Large language models show impressive performance in a wide range of linguistic tasks, but their performance on complex reasoning tasks is still signif-icantly lower than the human level.
Approach: They propose a reinforcement learning framework to synchronize the reasoning and critique capabilities of language models by using Monte Carlo sampling to give appropriate rewards to the model's critique content.
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Not All Tokens Matter: Towards Efficient LLM Reasoning via Token Significance in Reinforcement Learning (2026.acl-long)

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Challenge: Large language models (LLMs) often produce unnecessarily long explanations that reduce efficiency.
Approach: They propose a length-aware reward that selectively penalizes insignificance tokens . they also propose 'dynamic length control' that encourages more detailed reasoning .
Outcome: The proposed method reduces response length while maintaining correctness, the authors show . it selectively penalizes insignificance tokens while maintaining accuracy .
Contrastive Policy Gradient: Aligning LLMs on sequence-level scores in a supervised-friendly fashion (2024.emnlp-main)

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Challenge: Reinforcement Learning (RL) is a method used to fine tune Large Language Models (LLMs) using a reward model trained from preference data to better align with human judgment.
Approach: They propose a Reinforcement Learning (RL) algorithm that can estimate the optimal policy even from off-policy data.
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Step Potential Advantage Estimation: Harnessing Intermediate Confidence and Correctness for Efficient Mathematical Reasoning (2026.findings-acl)

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Challenge: Existing approaches to RLVR provide sparse supervision since reward arrives only after the full generation is complete.
Approach: They propose a step-level reward system that extracts confidence and correctness and combines them into a Step Potential signal that explicitly estimates reasoning state at each step.
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Rethinking Sample Polarity in Reinforcement Learning with Verifiable Rewards (2026.acl-long)

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Challenge: Large reasoning models are typically trained using reinforcement learning with verifiable reward (RLVR) positive and negative self-generated rollouts are used to update the model's policy . positive samples sharpen existing correct reasoning patterns, while negative samples encourage exploration of new reasoning paths.
Approach: They propose a method that allocates advantage signals to key tokens across different polarities.
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Correct, Concise and Complete: Multi-stage Training For Adaptive Reasoning (2026.findings-acl)

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Challenge: Large language models (LLMs) increase test-time computation, often in the form of chain-of-thought (CoT) however, reasoning traces can become unnecessarily long, increasing computation costs without improving accuracy and sometimes even degrading performance.
Approach: They propose a multi-stage efficient reasoning method that combines supervised fine-tuning with reinforcement learning using an adaptive length penalty.
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Ada-RS: Adaptive Rejection Sampling for Selective Thinking (2026.acl-industry)

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Challenge: Large language models are increasingly being deployed in cost- and latency-sensitive settings . chain-of-thought improves reasoning, but it can waste tokens on simple requests .
Approach: They introduce an algorithm-agnostic sample filtering framework for learning selective reasoning . they show that Ada-RS reduces average output tokens by 80% and reducing thinking rate by 5% .
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