mlsanityData to 7 Oct 2026

Orchestrating Tokens and Sequences: Dynamic Hybrid Policy Optimization for RLVR

arXiv 2601.05607 ↗First posted 9 Jan 2026cs.LGcited by 4

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

  1. 2025Rethinking Entropy Interventions in RLVR: An Entropy Change Perspective11 Oct
  2. 2025SPEC-RL: Accelerating On-Policy Reinforcement Learning with Speculative Rollouts27 Sep
  3. 2025Klear-Reasoner: Advancing Reasoning Capability via Gradient-Preserving Clipping Policy Optimization11 Aug
  4. 2025SimpleRL-Zoo: Investigating and Taming Zero Reinforcement Learning for Open Base Models in the Wild24 Mar
  5. 2017Proximal Policy Optimization Algorithms20 Jul

Other references · 6

  1. 2023Efficient Memory Management for Large Language Model Serving with PagedAttentioncited by 5,767
  2. 2021Measuring Mathematical Problem Solving With the MATH Datasetcited by 5,203
  3. 2024HybridFlow: A Flexible and Efficient RLHF Frameworkcited by 1,980
  4. 2022Solving Quantitative Reasoning Problems with Language Modelscited by 1,359
  5. 2024OlympiadBench: A Challenging Benchmark for Promoting AGI with Olympiad-Level Bilingual Multimodal Scientific Problemscited by 1,099
  6. 2025Clip Your Sequences Fairly: Enforcing Length Fairness for Sequence-Level RLcited by 7

Built on by

Cited by year (2026 to 7 Oct)

Citing papers per year: 2026: 4.

4 papers.

Similar, not cited

Close in wording, no citation either way

  1. 2025SSPO: Subsentence-level Policy Optimization
  2. 2026Revisiting Reinforcement Learning with Verifiable Rewards from a Contrastive Perspective
  3. 2025λ-GRPO: Unifying the GRPO Frameworks with Learnable Token Preferences
  4. 2025GTPO and GRPO-S: Token and Sequence-Level Reward Shaping with Policy Entropy
  5. 2025Sharpness-Guided Group Relative Policy Optimization via Probability Shaping
  6. 2025DCPO: Dynamic Clipping Policy Optimization
  7. 2026Token-Level Policy Optimization: Linking Group-Level Rewards to Token-Level Aggregation via Sequence-Level Likelihood
  8. 2026MCPO: Mastery-Consolidated Policy Optimization for Large Reasoning Models