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Directly Forecasting Belief for Reinforcement Learning with Delays

Published 1 May 2025 in cs.LG | (2505.00546v2)

Abstract: Reinforcement learning (RL) with delays is challenging as sensory perceptions lag behind the actual events: the RL agent needs to estimate the real state of its environment based on past observations. State-of-the-art (SOTA) methods typically employ recursive, step-by-step forecasting of states. This can cause the accumulation of compounding errors. To tackle this problem, our novel belief estimation method, named Directly Forecasting Belief Transformer (DFBT), directly forecasts states from observations without incrementally estimating intermediate states step-by-step. We theoretically demonstrate that DFBT greatly reduces compounding errors of existing recursively forecasting methods, yielding stronger performance guarantees. In experiments with D4RL offline datasets, DFBT reduces compounding errors with remarkable prediction accuracy. DFBT's capability to forecast state sequences also facilitates multi-step bootstrapping, thus greatly improving learning efficiency. On the MuJoCo benchmark, our DFBT-based method substantially outperforms SOTA baselines. Code is available at https://github.com/QingyuanWuNothing/DFBT.

Summary

Analyzing Direct Forecasting Belief for Reinforcement Learning with Delays

The study titled "Directly Forecasting Belief for Reinforcement Learning with Delays" presents a novel approach for addressing the well-documented challenges reinforcement learning (RL) faces in delayed environments. Delays within RL systems, emanating from factors like physical distance or computational lag, disrupt the Markovian property of the Markov Decision Process (MDP) and consequently degrade the learning efficacy and safety of autonomous agents. The delays primarily affect observation and action timings, leading to compounded prediction errors. Addressing these issues effectively necessitates the restoration of the Markovian property without drastic expansions in state-space or loss of performance efficiency.

The Direct Forecasting Belief Transformer (DFBT) is introduced as an enhancement over conventional recursive methods. Unlike step-by-step recursive belief forecasting that inherently accumulates errors, DFBT reformulates the task of belief estimation as a sequence modeling problem. This is achieved through the utilization of advanced transformer architectures to directly forecast states from delayed observations, significantly reducing compounding errors. The paper emphasizes that the DFBT approach maintains a fixed representation of the environment, leveraging the inherent sequence prediction capabilities of transformers, which capture dependencies across long delay sequences without resorting to recursive prediction mechanisms.

The incorporation of DFBT with the Soft Actor-Critic (SAC) method facilitates an online learning framework termed DFBT-SAC. This framework harnesses the accurate state predictions of the DFBT to enable multi-step bootstrapping, enhancing learning efficiency and adaptability in delayed environments. The empirical evaluation, conducted using D4RL and MuJoCo benchmarks, demonstrates DFBT's superiority over state-of-the-art methods. The results indicate significant improvements in prediction accuracy and performance under various delay settings, further reaffirming the theoretical foundations.

Theoretical analysis reveals that recursively forecasting belief methods exacerbate performance degeneration due to compounding errors which escalate exponentially with increased delays. However, DFBT mitigates these issues by effectively addressing them in a non-recursive manner, which the theoretical framework of the paper substantiate as offering a more robust performance guarantee. From a practical perspective, DFBT presents a feasible solution for tackling the curse of dimensionality and excessive sample complexity common in augmented state-space methods.

Future developments in AI, spurred by these findings, may see more extensive application of sequence modeling techniques in varied RL environments subject to timing irregularities. Enhancing models to adaptively manage diverse delay distributions might be key in better emulating real-world scenarios, particularly in dynamic systems like robotics and autonomous vehicles. Exploration of DFBT's application in online belief training and methods to reduce its computational overhead will be vital for broader adoption.

The paper contributes a significant advancement in reinforcement learning methodologies, promising enhances in reliability, and real-world applicability of systems handling delayed feedback environments. The DFBT marks an important stride towards achieving efficient and scalable RL solutions that can operate seamlessly in complex, real-world scenarios.

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