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IDQL: Implicit Q-Learning as an Actor-Critic Method with Diffusion Policies (2304.10573v2)

Published 20 Apr 2023 in cs.LG and cs.AI

Abstract: Effective offline RL methods require properly handling out-of-distribution actions. Implicit Q-learning (IQL) addresses this by training a Q-function using only dataset actions through a modified BeLLMan backup. However, it is unclear which policy actually attains the values represented by this implicitly trained Q-function. In this paper, we reinterpret IQL as an actor-critic method by generalizing the critic objective and connecting it to a behavior-regularized implicit actor. This generalization shows how the induced actor balances reward maximization and divergence from the behavior policy, with the specific loss choice determining the nature of this tradeoff. Notably, this actor can exhibit complex and multimodal characteristics, suggesting issues with the conditional Gaussian actor fit with advantage weighted regression (AWR) used in prior methods. Instead, we propose using samples from a diffusion parameterized behavior policy and weights computed from the critic to then importance sampled our intended policy. We introduce Implicit Diffusion Q-learning (IDQL), combining our general IQL critic with the policy extraction method. IDQL maintains the ease of implementation of IQL while outperforming prior offline RL methods and demonstrating robustness to hyperparameters. Code is available at https://github.com/philippe-eecs/IDQL.

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Authors (5)
  1. Philippe Hansen-Estruch (10 papers)
  2. Ilya Kostrikov (25 papers)
  3. Michael Janner (14 papers)
  4. Jakub Grudzien Kuba (12 papers)
  5. Sergey Levine (531 papers)
Citations (97)

Summary

An Examination of Implicit Diffusion Q-learning (IDQL) in Offline Reinforcement Learning

The paper "IDQL: Implicit Q-Learning as an Actor-Critic Method with Diffusion Policies" presents a novel approach to offline reinforcement learning (RL) which seeks to address key challenges commonly encountered in this domain. It introduces Implicit Diffusion Q-learning (IDQL), which extends Implicit Q-learning (IQL) by integrating diffusion policies into the actor-critic framework. This research contributes to the broader field of reinforcement learning by positing a more robust and hyperparameter-insensitive method for offline policy learning.

Theoretical Foundations and Contributions

IDQL builds on the concept of IQL, originally designed to avert the need for evaluating out-of-distribution actions in offline RL by training a Q-function with a modified BeLLMan backup using the expectile regression method. This approach maintains stability by avoiding queries for unseen actions, relying instead on dataset actions exclusively. However, the challenge with the original IQL lies in the ambiguity regarding the policy that maximizes the implicitly learned Q-function. This paper asserts that IQL can be effectively reimagined as an actor-critic method. By doing so, IDQL connects the critic objective to a behavior-regularized implicit actor, presenting a means to balance reward maximization against divergence from the behavior policy through various loss functions.

The salient theoretical contribution of this paper is the generalization of the IQL framework via the introduction of a new class of actor-critics. This generalization enables different convex loss functions for the critic, which implicitly induce a corresponding actor. The choice of loss function—expectile, quantile, or exponential—determines the nature of deviation from the behavior policy, thereby controlling the level of policy exploration in the offline dataset. Notably, for expectile statistics, increasing τ\tau parameter smoothens the deviation towards Q-learning. For quantiles, similar behavior is observed when τ\tau increases, whereas, an exponential objective aligns akin to a KL-divergence regularized policy.

Implementation and Experimental Evaluation

A key innovation of IDQL is its use of diffusion models for policy extraction. By using a diffusion parameterized behavior model, IDQL effectively captures complex, multimodal distribution of policies which are not well modeled by unimodal Gaussian policies prevalent in prior methods. The critic, thereby, remains separate from the policy extraction process, allowing IDQL to maintain stability and reduce hyperparameter sensitivity during training.

IDQL's practical implementation uses diffusion models with carefully selected architectural specifications—a deep residual network with layer normalization—to improve upon action modeling in continuous spaces. These enhancements reduce sampling outliers and improve the training process, which is substantiated through empirical results. IDQL outperformed several state-of-the-art offline RL methods, including CQL, IQL, and DQL, across various benchmarks including the D4RL suite, which consists of locomotion and antmaze tasks. Particularly noteworthy is IDQL's robustness in antmaze environments with limited hyperparameter tuning, addressing a critical challenge in real-world deployment scenarios.

Implications and Future Directions

The strong performance of IDQL highlights the potential for robust, diffusion-based methods within offline RL. The proposed generalization opens avenues for more sophisticated loss functions that maintain balance between exploration and exploitation with higher fidelity. Moreover, diffusion models' successful integration could inspire further exploration of generative models in RL, especially in complex decision-making scenarios where action spaces are vast or heavily constrained.

Future work may explore investigating the implications of such an actor-critic generalization on different classes of MDPs. Additional research could also explore extending IDQL to semi-batch or online reinforcement learning settings where it could potentially finetune to incoming datasets while retaining stability benefits from offline training. Finally, while IDQL focused on continuous action spaces, future research could adapt this framework to discrete or hybrid spaces, broadening its applicability.

In summary, IDQL presents a significant step forward in offline RL by providing a robust framework for implicit policy learning, characterized by strong empirical performance and broad potential impact on practical RL systems.

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