mlsanityData to 7 Oct 2026

Revisiting Reinforcement Learning with Verifiable Rewards from a Contrastive Perspective

arXiv 2605.12969 ↗First posted 13 May 2026cs.LG cs.AIcited by 1

On the map: LLM reasoning → Reinforcement learning for reasoning

Abstract (arXiv)

Group Relative Policy Optimization (GRPO) is one of the most widely adopted RLVR algorithms for post-training large language models on reasoning tasks. We first show that GRPO admits an equivalent discriminative reformulation, in which policy optimization maximizes the expected score gap between verified positive and negative rollouts. This reformulation reveals two objective-level limitations: likelihood-misaligned surrogate scores, in which clipped ratio-based scores are optimized rather than the sequence likelihoods that govern generation, and score-insensitive credit assignment, in which rollout-level credit does not reflect the current score gaps between positive and negative rollouts. To address these limitations, we propose ConSPO, a Contrastive Sequence-level Policy Optimization method that uses length-normalized sequence log-probabilities as rollout scores and contrasts verified positive rollouts against negative distractors within the same group. ConSPO optimizes a group-wise InfoNCE-style objective to adaptively strengthen updates for poorly separated positives and high-scoring negatives, together with a curriculum-scheduled margin that preserves separation pressure as training progresses. Experiments across diverse settings show that ConSPO outperforms strong baselines on challenging reasoning benchmarks.

Key facts. Cited by 1 paper in the map (data through 7 Oct 2026). Placed in Reinforcement learning for reasoning, one of 17 directions in LLM reasoning. Builds on 36 of its 45 references that are in the map. First posted on arXiv 13 May 2026.

Builds on

36 of 45 references.

Closest ancestors · 15

Same direction, newest first

  1. 2026CLIPO: Contrastive Learning in Policy Optimization Generalizes RLVR10 Mar
  2. 2025ADHint: Adaptive Hints with Difficulty Priors for Reinforcement Learning15 Dec
  3. 2025Soft Adaptive Policy Optimization25 Nov
  4. 2025Towards Flash Thinking via Decoupled Advantage Policy Optimization17 Oct
  5. 2025VCRL: Variance-based Curriculum Reinforcement Learning for Large Language Models24 Sep
  6. 2025Geometric-Mean Policy Optimization28 Jul
  7. 2025DisCO: Reinforcing Large Reasoning Models with Discriminative Constrained Optimization18 May
  8. 2025HAPO: Training Language Models to Reason Concisely via History-Aware Policy Optimization16 May
  9. 2025Learning to Reason under Off-Policy Guidance21 Apr
  10. 2025Does Reinforcement Learning Really Incentivize Reasoning Capacity in LLMs Beyond the Base Model?18 Apr
  11. 2025Trust Region Preference Approximation: A simple and stable reinforcement learning algorithm for LLM reasoning6 Apr
  12. 2025Online Difficulty Filtering for Reasoning Oriented Reinforcement Learning4 Apr
3 more
  1. 2025Understanding R1-Zero-Like Training: A Critical Perspective26 Mar
  2. 2025DAPO: An Open-Source LLM Reinforcement Learning System at Scale18 Mar
  3. 2023Direct Preference Optimization: Your Language Model is Secretly a Reward Model29 May

Other references · 21

  1. 2024The Llama 3 Herd of Modelscited by 14,192
  2. 2020A Simple Framework for Contrastive Learning of Visual Representationscited by 11,979
  3. 2024DeepSeekMath: Pushing the Limits of Mathematical Reasoning in Open Language Modelscited by 8,851
  4. 2025Qwen3 Technical Reportcited by 8,195
  5. 2018Representation Learning with Contrastive Predictive Codingcited by 7,662
  6. 2019Momentum Contrast for Unsupervised Visual Representation Learningcited by 7,482
  7. 2021Measuring Mathematical Problem Solving With the MATH Datasetcited by 5,203
  8. 2025Search-R1: Training LLMs to Reason and Leverage Search Engines with Reinforcement Learningcited by 1,371
  9. 2024OlympiadBench: A Challenging Benchmark for Promoting AGI with Olympiad-Level Bilingual Multimodal Scientific Problemscited by 1,099
  10. 2024Qwen2.5-Math Technical Report: Toward Mathematical Expert Model via Self-Improvementcited by 1,057
  11. 2024SimPO: Simple Preference Optimization with a Reference-Free Rewardcited by 951
  12. 2024Contrastive Preference Optimization: Pushing the Boundaries of LLM Performance in Machine Translationcited by 390
9 more
  1. 2025Kimi-VL Technical Reportcited by 381
  2. 2024Omni-MATH: A Universal Olympiad Level Mathematic Benchmark For Large Language Modelscited by 277
  3. 2025MathArena: Evaluating LLMs on Uncontaminated Math Competitionscited by 275
  4. 2025MiniMax-M1: Scaling Test-Time Compute Efficiently with Lightning Attentioncited by 248
  5. 2024Imitate, Explore, and Self-Improve: A Reproduction Report on Slow-thinking Reasoning Systemscited by 162
  6. 2025ShorterBetter: Guiding Reasoning Models to Find Optimal Inference Length for Efficient Reasoningcited by 70
  7. 2025Agent-RLVR: Training Software Engineering Agents via Guidance and Environment Rewardscited by 41
  8. 2025GHPO: Adaptive Guidance for Stable and Efficient LLM Reinforcement Learningcited by 33
  9. 2026PruneTIR: Inference-Time Tool Call Pruning for Effective yet Efficient Tool-Integrated Reasoningcited by 2

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Cited by year (2026 to 7 Oct)

Citing papers per year: 2026: 1.

1 paper.

Similar, not cited

Close in wording, no citation either way

  1. 2025SSPO: Subsentence-level Policy Optimization
  2. 2026Orchestrating Tokens and Sequences: Dynamic Hybrid Policy Optimization for RLVR
  3. 2026GRPO-VPS: Enhancing Group Relative Policy Optimization with Verifiable Process Supervision for Effective Reasoning
  4. 2026MCPO: Mastery-Consolidated Policy Optimization for Large Reasoning Models
  5. 2026RRPO: Reference-Relative Policy Optimization with Stratified Conditional Rollouts
  6. 2025Reinforcement Learning with Verifiable Rewards: GRPO's Effective Loss, Dynamics, and Success Amplification
  7. 2025Sharpness-Guided Group Relative Policy Optimization via Probability Shaping
  8. 2025CoRPO: Adding a Correctness Bias to GRPO Improves Generalization