Orchestrating Tokens and Sequences: Dynamic Hybrid Policy Optimization for RLVR
On the map: LLM reasoning → Reinforcement learning for reasoning
Abstract (arXiv)
Reinforcement Learning with Verifiable Rewards (RLVR) offers a promising framework for optimizing large language models in reasoning tasks. However, existing RLVR algorithms focus on different granularities, and each has complementary strengths and limitations. Group Relative Policy Optimization (GRPO) updates the policy with token-level importance ratios, which preserves fine-grained credit assignment but often suffers from high variance and instability. In contrast, Group Sequence Policy Optimization (GSPO) applies single sequence-level importance ratios across all tokens in a response that better matches sequence-level rewards, but sacrifices token-wise credit assignment. In this paper, we propose Dynamic Hybrid Policy Optimization (DHPO) to bridge GRPO and GSPO within a single clipped surrogate objective. DHPO combines token-level and sequence-level importance ratios using weighting mechanisms. We explore two variants of the mixing mechanism, including an averaged mixing and an entropy-guided mixing. To further stabilize training, we employ a branch-specific clipping strategy that constrains token-level and sequence-level ratios within separate trust regions before mixing, preventing outliers in either branch from dominating the update. Across seven challenging mathematical reasoning benchmarks, experiments on both dense and MoE models from the Qwen3 series show that DHPO consistently outperforms GRPO and GSPO. We will release our code upon acceptance of this paper.
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 11 of its 20 references that are in the map. First posted on arXiv 9 Jan 2026.
Builds on
11 of 20 references.
Closest ancestors · 5
Same direction, newest first
- 2025Rethinking Entropy Interventions in RLVR: An Entropy Change Perspective11 Oct
- 2025SPEC-RL: Accelerating On-Policy Reinforcement Learning with Speculative Rollouts27 Sep
- 2025Klear-Reasoner: Advancing Reasoning Capability via Gradient-Preserving Clipping Policy Optimization11 Aug
- 2025SimpleRL-Zoo: Investigating and Taming Zero Reinforcement Learning for Open Base Models in the Wild24 Mar
- 2017Proximal Policy Optimization Algorithms20 Jul
Other references · 6
- 2023Efficient Memory Management for Large Language Model Serving with PagedAttentioncited by 5,767
- 2021Measuring Mathematical Problem Solving With the MATH Datasetcited by 5,203
- 2024HybridFlow: A Flexible and Efficient RLHF Frameworkcited by 1,980
- 2022Solving Quantitative Reasoning Problems with Language Modelscited by 1,359
- 2024OlympiadBench: A Challenging Benchmark for Promoting AGI with Olympiad-Level Bilingual Multimodal Scientific Problemscited by 1,099
- 2025Clip Your Sequences Fairly: Enforcing Length Fairness for Sequence-Level RLcited by 7
Built on by
Citing papers per year: 2026: 4.
4 papers.
- 2026HEALing Entropy Collapse: Enhancing Exploration in Few-Shot RLVR via Hybrid-Domain Entropy Dynamics Alignmentcited by 0
- 2026Hiding in Plain Sight: Detectability-Aware Antidistillation of Reasoning Modelscited by 0
- 2026BRACE: Anchored Bellman-Residual Correction for Stale Critics in Asynchronous RLcited by 0
- 2026HISPO: Hierarchical Importance-Sampling Policy Optimization with Entropy-Derived Segmentscited by 0
- 2026HISPO: Hierarchical Importance-Sampling Policy Optimization with Entropy-Derived Segments14 Sep 2026
- 2026BRACE: Anchored Bellman-Residual Correction for Stale Critics in Asynchronous RL9 Sep 2026
- 2026Hiding in Plain Sight: Detectability-Aware Antidistillation of Reasoning Models25 Apr 2026
- 2026HEALing Entropy Collapse: Enhancing Exploration in Few-Shot RLVR via Hybrid-Domain Entropy Dynamics Alignment20 Apr 2026
Similar, not cited
Close in wording, no citation either way
- 2025SSPO: Subsentence-level Policy Optimization
- 2026Revisiting Reinforcement Learning with Verifiable Rewards from a Contrastive Perspective
- 2025λ-GRPO: Unifying the GRPO Frameworks with Learnable Token Preferences
- 2025GTPO and GRPO-S: Token and Sequence-Level Reward Shaping with Policy Entropy
- 2025Sharpness-Guided Group Relative Policy Optimization via Probability Shaping
- 2025DCPO: Dynamic Clipping Policy Optimization
- 2026Token-Level Policy Optimization: Linking Group-Level Rewards to Token-Level Aggregation via Sequence-Level Likelihood
- 2026MCPO: Mastery-Consolidated Policy Optimization for Large Reasoning Models