Asymmetric Proximal Policy Optimization: mini-critics boost LLM reasoning
On the map: LLM reasoning → Reinforcement learning for reasoning
Abstract (arXiv)
Most recent RL for LLMs (RL4LLM) methods avoid explicit critics, replacing them with average advantage baselines. This shift is largely pragmatic: conventional value functions are computationally expensive to train at LLM scale and often fail under sparse rewards and long reasoning horizons. We revisit this bottleneck from an architectural perspective and introduce Asymmetric Proximal Policy Optimization (AsyPPO), a simple and scalable framework that restores the critics role while remaining efficient in large-model settings. AsyPPO employs a set of lightweight mini-critics, each trained on disjoint prompt shards. This design encourages diversity while preserving calibration, reducing value-estimation bias. Beyond robust estimation, AsyPPO leverages inter-critic uncertainty to refine the policy update: (i) masking advantages in states where critics agree and gradients add little learning signal, and (ii) filtering high-divergence states from entropy regularization, suppressing spurious exploration. After training on open-source data with only 5,000 samples, AsyPPO consistently improves learning stability and performance across multiple benchmarks over strong baselines, such as GRPO, achieving performance gains of more than six percent on Qwen3-4b-Base and about three percent on Qwen3-8b-Base and Qwen3-14b-Base over classic PPO, without additional tricks. These results highlight the importance of architectural innovations for scalable, efficient algorithms.
Key facts. Cited by 9 papers in the map (data through 7 Oct 2026). Placed in Reinforcement learning for reasoning, one of 17 directions in LLM reasoning. Builds on 49 of its 61 references that are in the map. First posted on arXiv 2 Oct 2025.
Builds on
49 of 61 references.
Closest ancestors · 24
Same direction, newest first
- 2025A Survey of Reinforcement Learning for Large Reasoning Models10 Sep
- 2025SimpleTIR: End-to-End Reinforcement Learning for Multi-Turn Tool-Integrated Reasoning2 Sep
- 2025Part I: Tricks or Traps? A Deep Dive into RL for LLM Reasoning11 Aug
- 2025VRPO: Rethinking Value Modeling for Robust RL under Noisy Supervision in LLM Post-Training5 Aug
- 2025Geometric-Mean Policy Optimization28 Jul
- 2025Truncated Proximal Policy Optimization18 Jun
- 2025Reinforcement Learning Optimization for Large-Scale Learning: An Efficient and User-Friendly Scaling Library6 Jun
- 2025Beyond the 80/20 Rule: High-Entropy Minority Tokens Drive Effective Reinforcement Learning for LLM Reasoning2 Jun
- 2025AReaL: A Large-Scale Asynchronous Reinforcement Learning System for Language Reasoning30 May
- 2025Discriminative Policy Optimization for Token-Level Reward Models29 May
- 2025The Entropy Mechanism of Reinforcement Learning for Reasoning Language Models28 May
- 2025DeepMath-103K: A Large-Scale, Challenging, Decontaminated, and Verifiable Mathematical Dataset for Advancing Reasoning15 Apr
12 more
- 2025VAPO: Efficient and Reliable Reinforcement Learning for Advanced Reasoning Tasks7 Apr
- 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
- 2025What's Behind PPO's Collapse in Long-CoT? Value Optimization Holds the Secret3 Mar
- 2025Cognitive Behaviors that Enable Self-Improving Reasoners, or, Four Habits of Highly Effective STaRs3 Mar
- 2025Process Reinforcement through Implicit Rewards3 Feb
- 2024Improving Multi-Step Reasoning Abilities of Large Language Models with Direct Advantage Policy Optimization24 Dec
- 2024Free Process Rewards without Process Labels2 Dec
- 2023Let's Verify Step by Step31 May
- 2017Proximal Policy Optimization Algorithms20 Jul
Other references · 25
- 2024The Llama 3 Herd of Modelscited by 14,192
- 2024DeepSeekMath: Pushing the Limits of Mathematical Reasoning in Open Language Modelscited by 8,851
- 2025Qwen3 Technical Reportcited by 8,195
- 2024GPT-4o System Cardcited by 4,467
- 2015High-Dimensional Continuous Control Using Generalized Advantage Estimationcited by 1,916
- 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
- 2021The Surprising Effectiveness of PPO in Cooperative, Multi-Agent Gamescited by 903
- 2025Group Sequence Policy Optimizationcited by 788
- 2016Deep Exploration via Bootstrapped DQNcited by 518
- 2021Randomized Ensembled Double Q-Learning: Learning Fast Without a Modelcited by 278
- 2025MiniMax-M1: Scaling Test-Time Compute Efficiently with Lightning Attentioncited by 248
13 more
- 2018Understanding the impact of entropy on policy optimizationcited by 171
- 2020SUNRISE: A Simple Unified Framework for Ensemble Learning in Deep Reinforcement Learningcited by 150
- 2023Bigger, Better, Faster: Human-level Atari with human-level efficiencycited by 145
- 2024SimBa: Simplicity Bias for Scaling Up Parameters in Deep Reinforcement Learningcited by 70
- 2022RLx2: Training a Sparse Deep Reinforcement Learning Model from Scratchcited by 30
- 2024Controlling Large Language Model Agents with Entropic Activation Steeringcited by 29
- 2024Neuroplastic Expansion in Deep Reinforcement Learningcited by 17
- 2025TL;DR: Too Long, Do Re-weighting for Efficient LLM Reasoning Compressioncited by 16
- 2025Network Sparsity Unlocks the Scaling Potential of Deep Reinforcement Learningcited by 11
- 2025The Courage to Stop: Overcoming Sunk Cost Fallacy in Deep Reinforcement Learningcited by 6
- 2025Improving Value Estimation Critically Enhances Vanilla Policy Gradientcited by 5
- 2025Optimistic critics can empower small actorscited by 4
- 2021Honey, I Shrunk The Actor: A Case Study on Preserving Performance with Smaller Actors in Actor-Critic RLcited by 3
Built on by
Citing papers per year: 2025: 2; 2026: 7.
9 papers.
- 2025Attention Illuminates LLM Reasoning: The Preplan-and-Anchor Rhythm Enables Fine-Grained Policy Optimizationcited by 23
- 2025AgentMath: Empowering Mathematical Reasoning for Large Language Models via Tool-Augmented Agentcited by 17
- 2026Bringing Value Models Back: Generative Critics for Value Modeling in LLM Reinforcement Learningcited by 7
- 2026How Does Reasoning Flow? Tracing Attention-Induced Information Flow for Targeted RL in LLMscited by 3
- 2026Modularized Reinforcement Learning on LLMs: From MDP Creation to Exploration and Learningcited by 2
- 2026Explicit Critic Guidance for Aligning Diffusion Modelscited by 0
- 2026Reformulate LLM Reinforcement Learning for Efficient Training under Black-box Discrepancycited by 0
- 2026Binocular Gaze Estimation with Single Camera and Single Light Sourcecited by 0
- 2026Let Credit Follow Computation: Architecture-Aware Credit Transport for Large Language Model Reinforcement Learningcited by 0
- 2026Let Credit Follow Computation: Architecture-Aware Credit Transport for Large Language Model Reinforcement Learning21 Aug 2026
- 2026Binocular Gaze Estimation with Single Camera and Single Light Source6 Jul 2026
- 2026Modularized Reinforcement Learning on LLMs: From MDP Creation to Exploration and Learning20 Jun 2026
- 2026How Does Reasoning Flow? Tracing Attention-Induced Information Flow for Targeted RL in LLMs9 Jun 2026
- 2026Reformulate LLM Reinforcement Learning for Efficient Training under Black-box Discrepancy7 Jun 2026
- 2026Explicit Critic Guidance for Aligning Diffusion Models26 May 2026
- 2026Bringing Value Models Back: Generative Critics for Value Modeling in LLM Reinforcement Learning12 Apr 2026
- 2025AgentMath: Empowering Mathematical Reasoning for Large Language Models via Tool-Augmented Agent23 Dec 2025
- 2025Attention Illuminates LLM Reasoning: The Preplan-and-Anchor Rhythm Enables Fine-Grained Policy Optimization15 Oct 2025
Similar, not cited
Close in wording, no citation either way
- 2026Calibration-Aware Policy Optimization for Reasoning LLMs
- 2025Slow-Fast Policy Optimization: Reposition-Before-Update for LLM Reasoning
- 2025Mitigating Think-Answer Mismatch in LLM Reasoning Through Noise-Aware Advantage Reweighting
- 2025Accelerating RL for LLM Reasoning with Optimal Advantage Regression
- 2026Understanding Evolution Strategies for LLM Reasoning: Broader Reasoning Coverage than GRPO
- 2026Smaller Models are Natural Explorers for Policy-Level Diversity in GRPO
- 2026R2PO: Decoupling Rollout and Inference Policies for LLM Reasoning
- 2026SFT-then-RL Outperforms Mixed-Policy Methods for LLM Reasoning