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Improving Offline RL by Blending Heuristics

Sinong Geng, Aldo Pacchiano, Andrey Kolobov, Ching-An Cheng

TL;DR

Offline RL often suffers from instability due to value bootstrapping on fixed datasets. HUBL mitigates this by relabeling data with a heuristic-based component, using ${\tilde{r}}= r + \gamma \lambda h$ and ${\tilde{\gamma}}= \gamma(1-\lambda)$, where $h$ is Monte-Carlo returns and $\lambda$ is trajectory-dependent. The approach yields a bias–regret trade-off explained via a reshaped MDP and a finite-sample analysis, and empirically improves four leading bootstrapping-based offline RL methods by about 9% on 27 D4RL/Meta-World datasets, with substantial gains on unstable cases. HUBL is simple to implement as data relabeling and is compatible with many offline RL pipelines, making it a practical, scalable improvement for real-world offline decision-making tasks.

Abstract

We propose Heuristic Blending (HUBL), a simple performance-improving technique for a broad class of offline RL algorithms based on value bootstrapping. HUBL modifies the Bellman operators used in these algorithms, partially replacing the bootstrapped values with heuristic ones that are estimated with Monte-Carlo returns. For trajectories with higher returns, HUBL relies more on the heuristic values and less on bootstrapping; otherwise, it leans more heavily on bootstrapping. HUBL is very easy to combine with many existing offline RL implementations by relabeling the offline datasets with adjusted rewards and discount factors. We derive a theory that explains HUBL's effect on offline RL as reducing offline RL's complexity and thus increasing its finite-sample performance. Furthermore, we empirically demonstrate that HUBL consistently improves the policy quality of four state-of-the-art bootstrapping-based offline RL algorithms (ATAC, CQL, TD3+BC, and IQL), by 9% on average over 27 datasets of the D4RL and Meta-World benchmarks.

Improving Offline RL by Blending Heuristics

TL;DR

Offline RL often suffers from instability due to value bootstrapping on fixed datasets. HUBL mitigates this by relabeling data with a heuristic-based component, using and , where is Monte-Carlo returns and is trajectory-dependent. The approach yields a bias–regret trade-off explained via a reshaped MDP and a finite-sample analysis, and empirically improves four leading bootstrapping-based offline RL methods by about 9% on 27 D4RL/Meta-World datasets, with substantial gains on unstable cases. HUBL is simple to implement as data relabeling and is compatible with many offline RL pipelines, making it a practical, scalable improvement for real-world offline decision-making tasks.

Abstract

We propose Heuristic Blending (HUBL), a simple performance-improving technique for a broad class of offline RL algorithms based on value bootstrapping. HUBL modifies the Bellman operators used in these algorithms, partially replacing the bootstrapped values with heuristic ones that are estimated with Monte-Carlo returns. For trajectories with higher returns, HUBL relies more on the heuristic values and less on bootstrapping; otherwise, it leans more heavily on bootstrapping. HUBL is very easy to combine with many existing offline RL implementations by relabeling the offline datasets with adjusted rewards and discount factors. We derive a theory that explains HUBL's effect on offline RL as reducing offline RL's complexity and thus increasing its finite-sample performance. Furthermore, we empirically demonstrate that HUBL consistently improves the policy quality of four state-of-the-art bootstrapping-based offline RL algorithms (ATAC, CQL, TD3+BC, and IQL), by 9% on average over 27 datasets of the D4RL and Meta-World benchmarks.
Paper Structure (42 sections, 15 theorems, 54 equations, 5 figures, 15 tables, 2 algorithms)

This paper contains 42 sections, 15 theorems, 54 equations, 5 figures, 15 tables, 2 algorithms.

Key Result

Theorem 1

For any $h:\Omega \to \mathbbm{R}$, $\lambda: \Omega \to[0,1]$, and policy $\pi$, with $V^*$ as the value function of the optimal policy, it holds that ${V^*(d_0)-V^{\pi}(d_0) = \textnormal{Bias}(\pi, h, \lambda) + \textnormal{Regret}(\pi, h, \lambda)}$, where

Figures (5)

  • Figure 1: HUBL and offline RL
  • Figure 2: Relative improvement of HUBL with rank blending on 9 D4RL datasets.
  • Figure 3: Relative improvement of HUBL with rank labeling on MW datasets.
  • Figure 4: Average normalized return of HUBL with TD3+BC on hopper-medium-v2
  • Figure : HUBL + Offline RL

Theorems & Definitions (26)

  • Theorem 1
  • Theorem 2
  • Theorem 3
  • Lemma 4
  • proof
  • Lemma 5
  • proof
  • Lemma 6: Bias Upperbound
  • proof
  • Lemma 7
  • ...and 16 more