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This paper introduces Hindsight Policy Optimization (HPO), a novel reinforcement learning method designed to stabilize training for long-horizon language agents by reducing optimization variance through intent space projection. By aggregating semantically similar states, the approach theoretically guarantees bounded-variance estimators and empirically demonstrates improved policy performance in complex tasks requiring extended interaction sequences.
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From Outcomes to Actions: Leveraging Hindsight for Long-Horizon Language Agent Training

arXiv2 min read

arXiv:2607.16257v1 Announce Type: cross Abstract: Reinforcement learning (RL) has become a widely adopted technique for improving large language models (LLMs) on complex tasks. Despite this progress, existing RL methods still face challenges in training agents with longer-horizon interactions. One major bottleneck is distinguishing the contribution of different actions in long-horizon interaction, leading to high optimization variance. To address this, we introduce a novel policy gradient method, Hindsight Policy Optimization (HPO), that projects both the current policy distribution and the hindsight distribution into an intent space and extracts low-variance learning signals from the Wasserstein distance between them. We theoretically and empirically show that aggregating semantically similar states and actions in the intent space yields a bounded-variance estimator and improves policy performance stably. Our code is available online.

Abstract:Reinforcement learning (RL) has become a widely adopted technique for improving large language models (LLMs) on complex tasks. Despite this progress, existing RL methods still face challenges in training agents with longer-horizon interactions. One major bottleneck is distinguishing the contribution of different actions in long-horizon interaction, leading to high optimization variance. To address this, we introduce a novel policy gradient method, Hindsight Policy Optimization (HPO), that projects both the current policy distribution and the hindsight distribution into an intent space and extracts low-variance learning signals from the Wasserstein distance between them. We theoretically and empirically show that aggregating semantically similar states and actions in the intent space yields a bounded-variance estimator and improves policy performance stably. Our code is available online.

Machine Learning (cs.LG); Artificial Intelligence (cs.AI); Computation and Language (cs.CL)

arXiv:2607.16257 [cs.LG]

(or arXiv:2607.16257v1 [cs.LG] for this version)

https://doi.org/10.48550/arXiv.2607.16257 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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