ICPO: Intrinsic Confidence-Driven Group Relative Preference Optimization for Efficient Reinforcement Learning
On the map: LLM reasoning → Reinforcement learning for reasoning
Abstract (arXiv)
Reinforcement Learning with Verifiable Rewards (RLVR) demonstrates significant potential in enhancing the reasoning capabilities of Large Language Models (LLMs). However, existing RLVR methods are often constrained by issues such as coarse-grained rewards, reward noise, and inefficient exploration, which lead to unstable training and entropy collapse. To address this challenge, we propose the Intrinsic Confidence-Driven Group Relative Preference Optimization method (ICPO). The intuition behind it lies in the fact that the probabilities of an LLM generating different responses can inherently and directly reflect its self-assessment of the reasoning process. Inspired by the idea of preference modeling, ICPO calculates a preference advantage score for each response by comparing the relative generation probabilities of multiple responses under the same input prompt, and integrates this score with verifiable rewards to guide the exploration process. We have discovered that the preference advantage score not only alleviates the issues of coarse-grained rewards and reward noise but also effectively curbs overconfident errors, enhances the relative superiority of undervalued high-quality responses, and prevents the model from overfitting to specific strategies. Comprehensive experiments across four general-domain benchmarks and three mathematical benchmarks demonstrate that ICPO steadily boosts reasoning compared to GRPO.
Key facts. Cited by 4 papers in the map (data through 7 Oct 2026). Placed in Reinforcement learning for reasoning, one of 17 directions in LLM reasoning. Builds on 29 of its 45 references that are in the map. First posted on arXiv 26 Nov 2025.
Builds on
29 of 45 references.
Closest ancestors · 11
Same direction, newest first
- 2025CDE: Curiosity-Driven Exploration for Efficient Reinforcement Learning in Large Language Models11 Sep
- 2025RLPR: Extrapolating RLVR to General Domains without Verifiers23 Jun
- 2025The Entropy Mechanism of Reinforcement Learning for Reasoning Language Models28 May
- 2025General-Reasoner: Advancing LLM Reasoning Across All Domains20 May
- 2025MiMo: Unlocking the Reasoning Potential of Language Model -- From Pretraining to Posttraining12 May
- 2025Open-Reasoner-Zero: An Open Source Approach to Scaling Up Reinforcement Learning on the Base Model31 Mar
- 2025Understanding R1-Zero-Like Training: A Critical Perspective26 Mar
- 2025SimpleRL-Zoo: Investigating and Taming Zero Reinforcement Learning for Open Base Models in the Wild24 Mar
- 2025DAPO: An Open-Source LLM Reinforcement Learning System at Scale18 Mar
- 2024Tulu 3: Pushing Frontiers in Open Language Model Post-Training22 Nov
- 2017Proximal Policy Optimization Algorithms20 Jul
Other references · 18
- 2022Training language models to follow instructions with human feedbackcited by 15,712
- 2024The Llama 3 Herd of Modelscited by 14,192
- 2023Llama 2: Open Foundation and Fine-Tuned Chat Modelscited by 12,865
- 2021Training Verifiers to Solve Math Word Problemscited by 9,743
- 2024DeepSeekMath: Pushing the Limits of Mathematical Reasoning in Open Language Modelscited by 8,851
- 2024Qwen2.5 Technical Reportcited by 4,713
- 2024MMLU-Pro: A More Robust and Challenging Multi-Task Language Understanding Benchmarkcited by 1,758
- 2022Solving Quantitative Reasoning Problems with Language Modelscited by 1,359
- 2024DeepSeek-Coder: When the Large Language Model Meets Programming -- The Rise of Code Intelligencecited by 1,154
- 2022Scaling Laws for Reward Model Overoptimizationcited by 1,056
- 2024Self-Play Fine-Tuning Converts Weak Language Models to Strong Language Modelscited by 552
- 2024From Generation to Judgment: Opportunities and Challenges of LLM-as-a-judgecited by 480
6 more
- 2023JudgeLM: Fine-tuned Large Language Models are Scalable Judgescited by 351
- 2023PandaLM: An Automatic Evaluation Benchmark for LLM Instruction Tuning Optimizationcited by 311
- 2025Scalable Best-of-N Selection for Large Language Models via Self-Certaintycited by 182
- 2025A Sober Look at Progress in Language Model Reasoning: Pitfalls and Paths to Reproducibilitycited by 89
- 2024Unfamiliar Finetuning Examples Control How Language Models Hallucinatecited by 85
- 2025ConfRAG: Confidence-Guided Retrieval-Augmenting Generationcited by 3
Built on by
Citing papers per year: 2026: 4.
4 papers.
- 2026Hallucinations Undermine Trust; Metacognition is a Way Forwardcited by 4
- 2026AGPO: Asymmetric Group Policy Optimization for Verifiable Reasoning and Search Ads Relevance at JDcited by 2
- 2026GUI-AC: Enhancing Continual Learning in GUI Agentscited by 1
- 2026Miner:Mining Intrinsic Mastery for Data-Efficient RL in Large Reasoning Modelscited by 0
- 2026GUI-AC: Enhancing Continual Learning in GUI Agents9 Jun 2026
- 2026AGPO: Asymmetric Group Policy Optimization for Verifiable Reasoning and Search Ads Relevance at JD7 May 2026
- 2026Hallucinations Undermine Trust; Metacognition is a Way Forward2 May 2026
- 2026Miner:Mining Intrinsic Mastery for Data-Efficient RL in Large Reasoning Models8 Jan 2026
Similar, not cited
Close in wording, no citation either way
- 2026Revisiting Reinforcement Learning with Verifiable Rewards from a Contrastive Perspective
- 2026iGRPO: Self-Feedback-Driven LLM Reasoning
- 2026MCPO: Mastery-Consolidated Policy Optimization for Large Reasoning Models
- 2026Back to Basics: Revisiting Exploration in Reinforcement Learning for LLM Reasoning via Generative Probabilities
- 2025Beyond Correctness: Confidence-Aware Reward Modeling for Enhancing Large Language Model Reasoning
- 2026From Absolute to Relative: Rethinking Reward Shaping in Group-Based Reinforcement Learning
- 2026Momentum for Reasoning: Dense Intrinsic Signals in Policy Optimization
- 2025λ-GRPO: Unifying the GRPO Frameworks with Learnable Token Preferences