DVAO: Dynamic Variance-adaptive Advantage Optimization for Multi-reward Reinforcement Learning

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Summary

DVAO adaptively weights objectives based on reward variance to improve multi-reward RL training stability and multi-objective performance.

Reinforcement Learning has become a standard paradigm for aligning Large Language Models with human intent and task requirements. While Group Relative Policy Optimization offers an efficient, value-model-free alternative to Proximal Policy Optimization, adapting it to real-world multi-reward settings remains challenging. Standard scalarization practices, such as Reward Combination and Advantage Combination, suffer from significant drawbacks: Reward Combination frequently generates advantages with excessively large squared magnitudes that lead to training instability, while Advantage Combination relies on static hyperparameters and ignores cross-objective correlations. To address these limitations, we propose Dynamic Variance-adaptive Advantage Optimization (DVAO), which dynamically adjusts combination weights based on the empirical reward variance of each objective within a rollout group, effectively up-weighting objectives with a stronger learning signal while suppressing noisy ones. We mathematically prove that DVAO maintains bounded advantage magnitudes for stable training and introduces a self-adaptive cross-objective regularization mechanism. Extensive experiments on mathematical reasoning and tool-use benchmarks using Qwen3 and Qwen2.5 models demonstrate that DVAO significantly outperforms baseline methods, achieving a superior multi-objective Pareto frontier and robust training stability.
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Source: https://huggingface.co/papers/2605.25604

Abstract

Dynamic Variance-adaptive Advantage Optimization (DVAO) addresses training instability in multi-reward reinforcement learning by adaptively weighting objectives based on empirical reward variance, maintaining bounded advantage magnitudes and improving multi-objective performance.

Reinforcement Learninghas become a standard paradigm for aligningLarge Language Modelswith human intent and task requirements. WhileGroup Relative Policy Optimizationoffers an efficient, value-model-free alternative toProximal Policy Optimization, adapting it to real-world multi-reward settings remains challenging. Standard scalarization practices, such asReward CombinationandAdvantage Combination, suffer from significant drawbacks:Reward Combinationfrequently generates advantages with excessively large squared magnitudes that lead to training instability, whileAdvantage Combinationrelies on static hyperparameters and ignores cross-objective correlations. To address these limitations, we proposeDynamic Variance-adaptive Advantage Optimization(DVAO), which dynamically adjusts combination weights based on theempirical reward varianceof each objective within a rollout group, effectively up-weighting objectives with a stronger learning signal while suppressing noisy ones. We mathematically prove that DVAO maintains bounded advantage magnitudes for stable training and introduces a self-adaptive cross-objective regularization mechanism. Extensive experiments on mathematical reasoning and tool-use benchmarks using Qwen3 and Qwen2.5 models demonstrate that DVAO significantly outperforms baseline methods, achieving a superiormulti-objective Pareto frontierand robusttraining stability.

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