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This research introduces DCRL, a novel algorithm that addresses error accumulation in offline goal-conditioned reinforcement learning by recursively decomposing trajectories into balanced binary trees. By reducing worst-case bootstrap depth from linear to logarithmic, the method significantly outperforms flat and hierarchical baselines on long-horizon tasks within the OGBench suite. The approach offers a concrete advancement for scaling RL agents to complex, multi-step planning scenarios where traditional value backups struggle with noise propagation.
Recursive Value Learning for Long-Horizon Offline Goal-Conditioned RL
arXiv:2609.02237v1 Announce Type: cross Abstract: Scaling offline goal-conditioned reinforcement learning (GCRL) to long-horizon tasks is difficult because (1) long-range value learning depends on shorter-range estimates that may still be inaccurate, and (2) max-based value backups can amplify overestimation through repeated propagation. We propose DCRL (Divide-and-Conquer RL), which recursively decomposes each trajectory segment into a balanced binary tree and trains the values from leaves to root. Each parent is therefore updated only after its children, using an exact factorization of the observed route rather than selecting among noisy alternatives. Since this objective learns values along demonstrated routes that are not necessarily optimal, DCRL jointly propagates values across trajectories to discover shorter routes. Thanks to the balanced binary tree, DCRL reduces worst-case bootstrap depth from linear to logarithmic, and this shorter dependency structure empirically corresponds to much slower error accumulation. Across diverse goal-reaching tasks, DCRL substantially outperforms prior flat offline GCRL methods, and on the five most challenging long-horizon OGBench tasks, it improves the best prior average score from 55 to 64, surpassing all flat and hierarchical baselines.
Abstract:Scaling offline goal-conditioned reinforcement learning (GCRL) to long-horizon tasks is difficult because (1) long-range value learning depends on shorter-range estimates that may still be inaccurate, and (2) max-based value backups can amplify overestimation through repeated propagation. We propose DCRL (Divide-and-Conquer RL), which recursively decomposes each trajectory segment into a balanced binary tree and trains the values from leaves to root. Each parent is therefore updated only after its children, using an exact factorization of the observed route rather than selecting among noisy alternatives. Since this objective learns values along demonstrated routes that are not necessarily optimal, DCRL jointly propagates values across trajectories to discover shorter routes. Thanks to the balanced binary tree, DCRL reduces worst-case bootstrap depth from linear to logarithmic, and this shorter dependency structure empirically corresponds to much slower error accumulation. Across diverse goal-reaching tasks, DCRL substantially outperforms prior flat offline GCRL methods, and on the five most challenging long-horizon OGBench tasks, it improves the best prior average score from 55 to 64, surpassing all flat and hierarchical baselines.
Machine Learning (cs.LG); Robotics (cs.RO)
arXiv:2609.02237 [cs.LG]
(or arXiv:2609.02237v1 [cs.LG] for this version)
https://doi.org/10.48550/arXiv.2609.02237 Focus to learn more arXiv-issued DOI via DataCite (pending registration)
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