mlsanityData to 14 Oct 2026

Polychromic Objectives for Reinforcement Learning

arXiv 2509.25424 ↗First posted 29 Sep 2025cs.LG cs.AIcited by 7

On the map: Deep reinforcement learning methods → RL training of language and agent models

Abstract (arXiv)

Reinforcement learning fine-tuning (RLFT) is a dominant paradigm for improving pretrained policies for downstream tasks. These pretrained policies, trained on large datasets, produce generations with a broad range of promising but unrefined behaviors. Often, a critical failure mode of RLFT arises when policies lose this diversity and collapse into a handful of easily exploitable outputs. This convergence hinders exploration, which is essential for expanding the capabilities of the pretrained policy and for amplifying the benefits of test-time compute scaling. To address this, we introduce an objective for policy gradient methods that explicitly enforces the exploration and refinement of diverse generations, which we call a polychromic objective. We then show how proximal policy optimization (PPO) can be adapted to optimize this objective. Our method (1) employs vine sampling to collect on-policy rollouts and (2) modifies the advantage function to reflect the advantage under our new objective. Experiments on BabyAI, Minigrid, and Algorithmic Creativity show that our method improves success rates by reliably solving a larger set of environment configurations and generalizes better under large perturbations. Moreover, when given multiple attempts in pass@k experiments, the policy achieves substantially higher coverage, demonstrating its ability to maintain and exploit a diverse repertoire of strategies.

Key facts. Cited by 7 papers in the map (data through 14 Oct 2026). Placed in RL training of language and agent models, one of 15 directions in Deep reinforcement learning methods. Builds on 32 of its 48 references that are in the map. First posted on arXiv 29 Sep 2025.

Builds on

32 of 48 references.

Closest ancestors · 1

Same direction, newest first

  1. 2025Diverse Preference Optimization30 Jan

Other references · 31

  1. 2022Training language models to follow instructions with human feedbackcited by 15,971
  2. 2017Proximal Policy Optimization Algorithmscited by 15,215
  3. 2018Soft Actor-Critic: Off-Policy Maximum Entropy Deep Reinforcement Learning with a Stochastic Actorcited by 4,885
  4. 2015Continuous control with deep reinforcement learningcited by 3,407
  5. 2025DAPO: An Open-Source LLM Reinforcement Learning System at Scalecited by 2,810
  6. 2015Trust Region Policy Optimizationcited by 2,580
  7. 2015High-Dimensional Continuous Control Using Generalized Advantage Estimationcited by 2,026
  8. 2024Scaling LLM Test-Time Compute Optimally can be More Effective than Scaling Model Parameterscited by 1,986
  9. 2025Understanding R1-Zero-Like Training: A Critical Perspectivecited by 1,345
  10. 2017Curiosity-driven Exploration by Self-supervised Predictioncited by 1,194
  11. 2025Does Reinforcement Learning Really Incentivize Reasoning Capacity in LLMs Beyond the Base Model?cited by 982
  12. 2017Reinforcement Learning with Deep Energy-Based Policiescited by 669
19 more
  1. 2017Minimax Regret Bounds for Reinforcement Learningcited by 503
  2. 2025The Entropy Mechanism of Reinforcement Learning for Reasoning Language Modelscited by 485
  3. 2022The Vendi Score: A Diversity Evaluation Metric for Machine Learningcited by 311
  4. 2018BabyAI: A Platform to Study the Sample Efficiency of Grounded Language Learningcited by 244
  5. 2016Sample Efficient Actor-Critic with Experience Replaycited by 188
  6. 2024VinePPO: Refining Credit Assignment in RL Training of LLMscited by 183
  7. 2025Echo Chamber: RL Post-training Amplifies Behaviors Learned in Pretrainingcited by 129
  8. 2021State Entropy Maximization with Random Encoders for Efficient Explorationcited by 108
  9. 2024Inference-Aware Fine-Tuning for Best-of-N Sampling in Large Language Modelscited by 89
  10. 2025Outcome-based Exploration for LLM Reasoningcited by 83
  11. 2025Rewarding the Unlikely: Lifting GRPO Beyond Distribution Sharpeningcited by 80
  12. 2025Jointly Reinforcing Diversity and Quality in Language Model Generationscited by 80
  13. 2020One Solution is Not All You Need: Few-Shot Extrapolation via Structured MaxEnt RLcited by 79
  14. 2025NoveltyBench: Evaluating Language Models for Humanlike Diversitycited by 66
  15. 2025Tapered Off-Policy REINFORCE: Stable and efficient reinforcement learning for LLMscited by 61
  16. 2025Optimizing Language Models for Inference Time Objectives using Reinforcement Learningcited by 53
  17. 2025Training a Generally Curious Agentcited by 31
  18. 2025Roll the dice & look before you leap: Going beyond the creative limits of next-token predictioncited by 29
  19. 2019Marginalized State Distribution Entropy Regularization in Policy Optimizationcited by 16

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Cited by year (2026 to 14 Oct)

Citing papers per year: 2025: 1; 2026: 6.

7 papers.

Similar, not cited

Close in wording, no citation either way

  1. 2021On Multi-objective Policy Optimization as a Tool for Reinforcement Learning: Case Studies in Offline RL and Finetuning
  2. 2026Fine-Tuning on Self-Generated and Reward-Weighted Data: Learning Dynamics, Convergence Rates, and Benefits of Off-Policyness
  3. 2025Proximal Supervised Fine-Tuning
  4. 2025Variance Reduced Policy Gradient Method for Multi-Objective Reinforcement Learning
  5. 2026Post-Training at the Edge of Detectability: A Game-Theoretic Approach to Fine-Tuning
  6. 2024Policy Filtration for RLHF to Mitigate Noise in Reward Models
  7. 2026Many Ways to Succeed: Diversity-Driven RL Fine-Tuning for VLA Generalization
  8. 2026Preference Conditioned Multi-Objective Reinforcement Learning: Decomposed, Diversity-Driven Policy Optimization