Segment-Aligned Policy Optimization for Multi-Modal Reasoning
On the map: LLM reasoning → Reinforcement learning for reasoning
Abstract (arXiv)
Existing reinforcement learning approaches for Large Language Models typically perform policy optimization at the granularity of individual tokens or entire response sequences. However, such formulations often misalign with the natural step-wise structure of reasoning processes, leading to suboptimal credit assignment and unstable training in multi-modal reasoning tasks. To bridge this gap, we propose Segment-Aligned Policy Optimization (SAPO), a novel reinforcement learning paradigm that treats coherent reasoning steps, rather than tokens or full sequences as fundamental units of policy update. SAPO introduces a step-wise Markov decision process abstraction over reasoning segments, accompanied by segment-level value estimation, advantage computation, and importance sampling mechanisms that are semantically aligned with reasoning boundaries. Experiments on representative reasoning benchmarks demonstrate that SAPO consistently outperforms token-level and sequence-level policy optimization methods, achieving significant accuracy improvements while exhibiting better training stability and value estimation consistency. Our work underscores the importance of aligning reinforcement learning updates with the intrinsic structure of reasoning, paving the way for more efficient and semantically grounded policy optimization in complex reasoning tasks. Codes and models will be released to ensure full reproducibility.
Key facts. Cited by 1 paper in the map (data through 14 Oct 2026). Placed in Reinforcement learning for reasoning, one of 17 directions in LLM reasoning. Builds on 31 of its 36 references that are in the map. First posted on arXiv 2 May 2026.
Builds on
31 of 36 references.
Closest ancestors · 8
Same direction, newest first
- 2026Controllable Exploration in Hybrid-Policy RLVR for Multi-Modal Reasoning22 Feb
- 2025Beyond the 80/20 Rule: High-Entropy Minority Tokens Drive Effective Reinforcement Learning for LLM Reasoning2 Jun
- 2025Segment Policy Optimization: Effective Segment-Level Credit Assignment in RL for Large Language Models29 May
- 2025What's Behind PPO's Collapse in Long-CoT? Value Optimization Holds the Secret3 Mar
- 2025DeepSeek-R1: Incentivizing Reasoning Capability in LLMs via Reinforcement Learning22 Jan
- 2023Let's Verify Step by Step31 May
- 2023Direct Preference Optimization: Your Language Model is Secretly a Reward Model29 May
- 2017Proximal Policy Optimization Algorithms20 Jul
Other references · 23
- 2022Training language models to follow instructions with human feedbackcited by 15,971
- 2021Training Verifiers to Solve Math Word Problemscited by 10,109
- 2024DeepSeekMath: Pushing the Limits of Mathematical Reasoning in Open Language Modelscited by 9,379
- 2025Qwen2.5-VL Technical Reportcited by 5,587
- 2021Measuring Mathematical Problem Solving With the MATH Datasetcited by 5,371
- 2023MMBench: Is Your Multi-modal Model an All-around Player?cited by 2,141
- 2023MMMU: A Massive Multi-discipline Multimodal Understanding and Reasoning Benchmark for Expert AGIcited by 2,080
- 2024HybridFlow: A Flexible and Efficient RLHF Frameworkcited by 2,057
- 2022Learn to Explain: Multimodal Reasoning via Thought Chains for Science Question Answeringcited by 1,919
- 2023MathVista: Evaluating Mathematical Reasoning of Foundation Models in Visual Contextscited by 1,614
- 2024Are We on the Right Way for Evaluating Large Vision-Language Models?cited by 914
- 2025Group Sequence Policy Optimizationcited by 835
11 more
- 2023WizardMath: Empowering Mathematical Reasoning for Large Language Models via Reinforced Evol-Instructcited by 625
- 2024MathVerse: Does Your Multi-modal LLM Truly See the Diagrams in Visual Math Problems?cited by 586
- 2021Inter-GPS: Interpretable Geometry Problem Solving with Formal Language and Symbolic Reasoningcited by 383
- 2023Beyond Human Data: Scaling Self-Training for Problem-Solving with Language Modelscited by 349
- 2024We-Math: Does Your Large Multimodal Model Achieve Human-like Mathematical Reasoning?cited by 286
- 2024LogicVista: Multimodal LLM Logical Reasoning Benchmark in Visual Contextscited by 245
- 2024Smaug: Fixing Failure Modes of Preference Optimisation with DPO-Positivecited by 241
- 2024VinePPO: Refining Credit Assignment in RL Training of LLMscited by 183
- 2024DynaMath: A Dynamic Visual Benchmark for Evaluating Mathematical Reasoning Robustness of Vision Language Modelscited by 146
- 2025Direct Value Optimization: Improving Chain-of-Thought Reasoning in LLMs with Refined Valuescited by 6
- 2025Rectifying LLM Thought from Lens of Optimizationcited by 4
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Citing papers per year: 2026: 1.
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- 2026Beyond Token-Level Policy Gradients for Complex Reasoning with Large Language Models
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- 2026LamPO: A Lambda Style Policy Optimization for Reasoning Language Models
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