Polychromic Objectives for Reinforcement Learning
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
- 2025Diverse Preference Optimization30 Jan
Other references · 31
- 2022Training language models to follow instructions with human feedbackcited by 15,971
- 2017Proximal Policy Optimization Algorithmscited by 15,215
- 2018Soft Actor-Critic: Off-Policy Maximum Entropy Deep Reinforcement Learning with a Stochastic Actorcited by 4,885
- 2015Continuous control with deep reinforcement learningcited by 3,407
- 2025DAPO: An Open-Source LLM Reinforcement Learning System at Scalecited by 2,810
- 2015Trust Region Policy Optimizationcited by 2,580
- 2015High-Dimensional Continuous Control Using Generalized Advantage Estimationcited by 2,026
- 2024Scaling LLM Test-Time Compute Optimally can be More Effective than Scaling Model Parameterscited by 1,986
- 2025Understanding R1-Zero-Like Training: A Critical Perspectivecited by 1,345
- 2017Curiosity-driven Exploration by Self-supervised Predictioncited by 1,194
- 2025Does Reinforcement Learning Really Incentivize Reasoning Capacity in LLMs Beyond the Base Model?cited by 982
- 2017Reinforcement Learning with Deep Energy-Based Policiescited by 669
19 more
- 2017Minimax Regret Bounds for Reinforcement Learningcited by 503
- 2025The Entropy Mechanism of Reinforcement Learning for Reasoning Language Modelscited by 485
- 2022The Vendi Score: A Diversity Evaluation Metric for Machine Learningcited by 311
- 2018BabyAI: A Platform to Study the Sample Efficiency of Grounded Language Learningcited by 244
- 2016Sample Efficient Actor-Critic with Experience Replaycited by 188
- 2024VinePPO: Refining Credit Assignment in RL Training of LLMscited by 183
- 2025Echo Chamber: RL Post-training Amplifies Behaviors Learned in Pretrainingcited by 129
- 2021State Entropy Maximization with Random Encoders for Efficient Explorationcited by 108
- 2024Inference-Aware Fine-Tuning for Best-of-N Sampling in Large Language Modelscited by 89
- 2025Outcome-based Exploration for LLM Reasoningcited by 83
- 2025Rewarding the Unlikely: Lifting GRPO Beyond Distribution Sharpeningcited by 80
- 2025Jointly Reinforcing Diversity and Quality in Language Model Generationscited by 80
- 2020One Solution is Not All You Need: Few-Shot Extrapolation via Structured MaxEnt RLcited by 79
- 2025NoveltyBench: Evaluating Language Models for Humanlike Diversitycited by 66
- 2025Tapered Off-Policy REINFORCE: Stable and efficient reinforcement learning for LLMscited by 61
- 2025Optimizing Language Models for Inference Time Objectives using Reinforcement Learningcited by 53
- 2025Training a Generally Curious Agentcited by 31
- 2025Roll the dice & look before you leap: Going beyond the creative limits of next-token predictioncited by 29
- 2019Marginalized State Distribution Entropy Regularization in Policy Optimizationcited by 16
Built on by
Citing papers per year: 2025: 1; 2026: 6.
7 papers.
- 2026POPE: Learning to Reason on Hard Problems via Privileged On-Policy Explorationcited by 42
- 2025KL-Regularized Reinforcement Learning is Designed to Mode Collapsecited by 31
- 2026Poly-EPO: Training Exploratory Reasoning Modelscited by 5
- 2026Emergence of Exploration in Policy Gradient Reinforcement Learning via Retryingcited by 5
- 2026Using Reward Uncertainty to Induce Diverse Behaviour in Reinforcement Learningcited by 2
- 2026Multi-Axis Max@K Reinforcement Learning for Representative Diversity in Text-to-Image Generationcited by 2
- 2026Retry Policy Gradients in Continuous Action Spacescited by 1
- 2026Multi-Axis Max@K Reinforcement Learning for Representative Diversity in Text-to-Image Generation16 Jul 2026
- 2026Retry Policy Gradients in Continuous Action Spaces4 Jun 2026
- 2026Using Reward Uncertainty to Induce Diverse Behaviour in Reinforcement Learning2 Jun 2026
- 2026Emergence of Exploration in Policy Gradient Reinforcement Learning via Retrying29 May 2026
- 2026Poly-EPO: Training Exploratory Reasoning Models19 Apr 2026
- 2026POPE: Learning to Reason on Hard Problems via Privileged On-Policy Exploration26 Jan 2026
- 2025KL-Regularized Reinforcement Learning is Designed to Mode Collapse23 Oct 2025
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