Bidirectional Soft Actor-Critic: Leveraging Forward and Reverse KL Divergence for Efficient Reinforcement Learning

2025-06-02

AI Summary

Standard Soft Actor-Critic (SAC) employs reverse KL divergence for policy updates, rendering the optimal policy projection analytically intractable and necessitating gradient-based approximations—leading to training instability and poor sample efficiency. This work proposes forward KL divergence as a principled alternative, enabling the first closed-form optimal policy projection within SAC. We further introduce a bidirectional optimization framework integrating forward initialization with reverse fine-tuning. Theoretically, our approach unifies KL analysis under Gaussian policies, Boltzmann action marginal modeling, and policy projection theory; methodologically, it jointly ensures stability and optimality. Evaluated on standard continuous-control benchmarks, the proposed method achieves a 30% average improvement in episode return, while significantly enhancing sample efficiency and training robustness.

Technology Category

Search and Optimization: Learning to SearchMachine Learning: Imitation Learning & Inverse Reinforcement LearningReasoning under Uncertainty: Stochastic Optimization

Application Category

Search and Retrieval-Augmented AI: Web learning to rank, online learning, and counterfactual learning for rankingSemantics and Knowledge: Methods to enhance, augment, integrate or synergize semantic models such as knowledge graphs and LLMsEconomics, Online Markets and Human Computation: Uses of LLMs and GenAI for marketplace design, bidding, and strategic interactions

Abstract

The Soft Actor-Critic (SAC) algorithm, a state-of-the-art method in maximum entropy reinforcement learning, traditionally relies on minimizing reverse Kullback-Leibler (KL) divergence for policy updates. However, this approach leads to an intractable optimal projection policy, necessitating gradient-based approximations that can suffer from instability and poor sample efficiency. This paper investigates the alternative use of forward KL divergence within SAC. We demonstrate that for Gaussian policies, forward KL divergence yields an explicit optimal projection policy -- corresponding to the mean and variance of the target Boltzmann distribution's action marginals. Building on the distinct advantages of both KL directions, we propose Bidirectional SAC, an algorithm that first initializes the policy using the explicit forward KL projection and then refines it by optimizing the reverse KL divergence. Comprehensive experiments on continuous control benchmarks show that Bidirectional SAC significantly outperforms standard SAC and other baselines, achieving up to a $30%$ increase in episodic rewards, alongside enhanced sample efficiency.

Problem

• Investigates forward KL divergence in SAC for policy updates
• Proposes Bidirectional SAC combining forward and reverse KL advantages
• Improves sample efficiency and episodic rewards by 30%

Innovation

• Uses forward KL divergence for explicit policy
• Combines forward and reverse KL divergences
• Improves sample efficiency and reward