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Scrutinize What We Ignore: Reining In Task Representation Shift Of Context-Based Offline Meta Reinforcement Learning

Hai Zhang, Boyuan Zheng, Tianying Ji, Jinhang Liu, Anqi Guo, Junqiao Zhao, Lanqing Li

TL;DR

The paper tackles generalization in offline meta-reinforcement learning (COMRL) by analyzing how context-based representations influence performance. It introduces task representation shift as a key factor that can break monotonic performance improvements and develops a return-discrepancy framework to connect context-encoder updates with the expected return $J^*(\theta)$. The authors derive a refined monotonic-improvement condition that explicitly accounts for drift in the task representation and propose a practical alternating framework with configurable update cadence ($N_{\text{k}},N_{\text{acc}}$) and encoder objectives (contrastive, reconstruction, cross-entropy) to rein in shift. Empirical results on MuJoCo and MetaWorld show performance gains when the task-representation drift is controlled, while analyses on pretraining and visualization caution against overinterpreting representations; the work lays groundwork for more robust COMRL training by explicitly modeling and managing representation shifts.

Abstract

Offline meta reinforcement learning (OMRL) has emerged as a promising approach for interaction avoidance and strong generalization performance by leveraging pre-collected data and meta-learning techniques. Previous context-based approaches predominantly rely on the intuition that alternating optimization between the context encoder and the policy can lead to performance improvements, as long as the context encoder follows the principle of maximizing the mutual information between the task variable $M$ and its latent representation $Z$ ($I(Z;M)$) while the policy adopts the standard offline reinforcement learning (RL) algorithms conditioning on the learned task representation.Despite promising results, the theoretical justification of performance improvements for such intuition remains underexplored.Inspired by the return discrepancy scheme in the model-based RL field, we find that the previous optimization framework can be linked with the general RL objective of maximizing the expected return, thereby explaining performance improvements. Furthermore, after scrutinizing this optimization framework, we observe that the condition for monotonic performance improvements does not consider the variation of the task representation. When these variations are considered, the previously established condition may no longer be sufficient to ensure monotonicity, thereby impairing the optimization process.We name this issue task representation shift and theoretically prove that the monotonic performance improvements can be guaranteed with appropriate context encoder updates.Our work opens up a new avenue for OMRL, leading to a better understanding between the task representation and performance improvements.

Scrutinize What We Ignore: Reining In Task Representation Shift Of Context-Based Offline Meta Reinforcement Learning

TL;DR

The paper tackles generalization in offline meta-reinforcement learning (COMRL) by analyzing how context-based representations influence performance. It introduces task representation shift as a key factor that can break monotonic performance improvements and develops a return-discrepancy framework to connect context-encoder updates with the expected return . The authors derive a refined monotonic-improvement condition that explicitly accounts for drift in the task representation and propose a practical alternating framework with configurable update cadence () and encoder objectives (contrastive, reconstruction, cross-entropy) to rein in shift. Empirical results on MuJoCo and MetaWorld show performance gains when the task-representation drift is controlled, while analyses on pretraining and visualization caution against overinterpreting representations; the work lays groundwork for more robust COMRL training by explicitly modeling and managing representation shifts.

Abstract

Offline meta reinforcement learning (OMRL) has emerged as a promising approach for interaction avoidance and strong generalization performance by leveraging pre-collected data and meta-learning techniques. Previous context-based approaches predominantly rely on the intuition that alternating optimization between the context encoder and the policy can lead to performance improvements, as long as the context encoder follows the principle of maximizing the mutual information between the task variable and its latent representation () while the policy adopts the standard offline reinforcement learning (RL) algorithms conditioning on the learned task representation.Despite promising results, the theoretical justification of performance improvements for such intuition remains underexplored.Inspired by the return discrepancy scheme in the model-based RL field, we find that the previous optimization framework can be linked with the general RL objective of maximizing the expected return, thereby explaining performance improvements. Furthermore, after scrutinizing this optimization framework, we observe that the condition for monotonic performance improvements does not consider the variation of the task representation. When these variations are considered, the previously established condition may no longer be sufficient to ensure monotonicity, thereby impairing the optimization process.We name this issue task representation shift and theoretically prove that the monotonic performance improvements can be guaranteed with appropriate context encoder updates.Our work opens up a new avenue for OMRL, leading to a better understanding between the task representation and performance improvements.
Paper Structure (25 sections, 13 theorems, 47 equations, 9 figures, 3 tables, 1 algorithm)

This paper contains 25 sections, 13 theorems, 47 equations, 9 figures, 3 tables, 1 algorithm.

Key Result

Theorem 3.1

Denote $X_b$ and $X_t$ are the behavior-related $(s,a)$-component and task-related $(s',r)$-component of the context $X$, with $X=(X_b,X_t)$. We have: where 1) $\mathcal{L}_{FOCAL}\equiv -I(Z;X)=-I(Z;X_t|X_b)-I(Z;X_b)$; 2) $\mathcal{L}_{CORRO}\equiv -I(Z;X_t|X_b)$; 3) $\mathcal{L}_{CSRO}\ge (\lambda-1)I(Z;X) - \lambda I(Z;X_t|X_b)$, and $\equiv$ denotes equality up to a constant.

Figures (9)

  • Figure 1: Our training framework compared to the previous training framework. They both adopt the alternating optimization framework to train the context encoder and the policy. However, our training framework considers the previously ignored variation of task representation by introducing an extra condition to decide whether the context encoder should be updated.
  • Figure 2: Testing returns of different settings to rein in the task representation shift. Solid curves refer to the mean performance of trials over 8 random seeds, and the shaded areas characterize the standard deviation of these trials.
  • Figure 3: Testing returns of different settings to rein in the task representation shift on different data qualities in Ant-Dir. Solid curves refer to the mean performance of trials over 8 random seeds, and the shaded areas characterize the standard deviation of these trials.
  • Figure 4: Testing returns of the pre-training scheme against training from scratch in Ant-Dir. Solid curves refer to the mean performance of trials over 8 random seeds, and the shaded areas characterize the standard deviation of these trials.
  • Figure 5: The 2D projection of the learned task representation space in Ant-Dir. Points are uniformly sampled from the evaluation datasets. Tasks of given goals from 0 to 6 are mapped to rainbow colors, ranging from purple to red.
  • ...and 4 more figures

Theorems & Definitions (15)

  • Theorem 3.1: li2024towards
  • Definition 4.2: Return discrepancy in COMRL
  • Theorem 4.3: Return bound in COMRL
  • Corollary 4.4: Monotonic performance improvement condition for previous COMRL works
  • Definition 4.5: Performance difference bound in COMRL
  • Theorem 4.6: Lower bound of performance difference in COMRL
  • Theorem 4.10: Monotonic performance improvement guarantee on training process
  • Corollary 6.1: Monotonic performance improvement condition for pre-training scheme
  • Lemma 8.1: Return bound.zhang2023how
  • Lemma 8.2: Inequility for $L_1$ deviation of the empirical distribution.weissman2003inequalities
  • ...and 5 more