Pinpointing crucial steps: Attribution-based Credit Assignment for Verifiable Reinforcement Learning
On the map: LLM reasoning → Reinforcement learning for reasoning
Abstract (arXiv)
While Reinforcement Learning with Verifiable Rewards (RLVR) enhances complex reasoning in LLMs, current methods struggle to balance exploration and exploitation. This leads to critical issues like inaccurate credit assignment for intermediate steps and premature entropy collapse, limiting model performance. To address this, we introduce Attribution-based Contribution to Policy Optimization (ACPO), a phased framework that incorporates a difficulty-aware curriculum. ACPO improves exploration by using trajectory semantic segmentation and an attribution-based representation to dynamically regulate policy entropy, thus mitigating its collapse. Concurrently, it enhances exploitation with a factorized reward system that precisely quantifies the hierarchical contribution of each reasoning step, ensuring accurate credit assignment. Extensive experiments on challenging benchmarks, including AIME, MATH, and AMC, demonstrate that ACPO significantly outperforms existing state-of-the-art approaches.
Key facts. Cited by 3 papers in the map (data through 7 Oct 2026). Placed in Reinforcement learning for reasoning, one of 17 directions in LLM reasoning. Builds on 17 of its 21 references that are in the map. First posted on arXiv 10 Oct 2025.
Builds on
17 of 21 references.
Closest ancestors · 8
Same direction, newest first
- 2025DCPO: Dynamic Clipping Policy Optimization2 Sep
- 2025Geometric-Mean Policy Optimization28 Jul
- 2025First Return, Entropy-Eliciting Explore9 Jul
- 2025Beyond the 80/20 Rule: High-Entropy Minority Tokens Drive Effective Reinforcement Learning for LLM Reasoning2 Jun
- 2025The Entropy Mechanism of Reinforcement Learning for Reasoning Language Models28 May
- 2025Understanding R1-Zero-Like Training: A Critical Perspective26 Mar
- 2025DAPO: An Open-Source LLM Reinforcement Learning System at Scale18 Mar
- 2025Process Reinforcement through Implicit Rewards3 Feb
Other references · 9
- 2024DeepSeekMath: Pushing the Limits of Mathematical Reasoning in Open Language Modelscited by 8,851
- 2021Measuring Mathematical Problem Solving With the MATH Datasetcited by 5,203
- 2025Group Sequence Policy Optimizationcited by 788
- 2025rStar-Math: Small LLMs Can Master Math Reasoning with Self-Evolved Deep Thinkingcited by 308
- 2020First return, then explorecited by 256
- 2024DeepSeek-Prover-V1.5: Harnessing Proof Assistant Feedback for Reinforcement Learning and Monte-Carlo Tree Searchcited by 189
- 2024Understanding Chain-of-Thought in LLMs through Information Theorycited by 36
- 2025Beyond the Last Answer: Your Reasoning Trace Uncovers More than You Thinkcited by 16
- 2025MiroMind-M1: An Open-Source Advancement in Mathematical Reasoning via Context-Aware Multi-Stage Policy Optimizationcited by 12
Built on by
Citing papers per year: 2026: 3.
3 papers.
- 2026From Reasoning to Agentic: Credit Assignment in Reinforcement Learning for Large Language Modelscited by 19
- 2026Process Advantage Signal Shaping: A Paradigm-Agnostic Middleware for Process-Supervised RL in LLM Reasonerscited by 2
- 2026MAGMA-GEN: Validated Recovery Supervision from Ambiguous Failures via Counterfactual Re-Executioncited by 0
- 2026MAGMA-GEN: Validated Recovery Supervision from Ambiguous Failures via Counterfactual Re-Execution17 Sep 2026
- 2026Process Advantage Signal Shaping: A Paradigm-Agnostic Middleware for Process-Supervised RL in LLM Reasoners28 Jun 2026
- 2026From Reasoning to Agentic: Credit Assignment in Reinforcement Learning for Large Language Models10 Apr 2026
Similar, not cited
Close in wording, no citation either way
- 2026ACPO: Asymmetric Credit Policy Optimization via Mode-Local Entropy Surrogate
- 2026Surprising Success, Repeated Failure: Entropy-Guided Credit Assignment for Exploration in LLM Reasoning
- 2026TCPO: Turn-Level Credit Policy Optimization
- 2026Learning from Own Solutions: Self-Conditioned Credit Assignment for Reinforcement Learning with Verifiable Rewards
- 2026Verifier-Induced Support Reshaping in On-Policy Optimization
- 2026Learning from Failures: Correction-Oriented Policy Optimization with Verifiable Rewards
- 2026OPPO: Bayesian Value Recursion for Token-Level Credit Assignment in LLM Reasoning
- 2026Hidden States Know Where Reasoning Diverges: Credit Assignment via Span-Level Wasserstein Distance