FLAG: Flow Policy MaxEnt-RL by Latent Augmented Guidance

TL;DR

FLAG optimizes flow policy with latent-augmented guidance, excelling in high-dimensional control tasks.

cs.LG 🔴 Advanced 2026-05-29 44 views
Sungha Kim Gawon Lee Jusuk Lee Jonghae Park H. Jin Kim Daesol Cho
reinforcement learning maximum entropy flow policy high-dimensional control importance sampling

Key Findings

Methodology

FLAG optimizes flow policy with latent-augmented guidance using local importance sampling to avoid weight collapse. It augments the state space with a flow latent variable and optimizes a provably consistent proxy MaxEnt-RL objective.

Key Results

  • FLAG excels in high-dimensional control tasks, enabling expressive policy optimization with limited importance samples, achieving state-of-the-art performance.
  • In multi-goal environments, FLAG captures optimal and multi-modal behaviors even with limited sample budgets.
  • Empirical validation shows FLAG outperforms global importance sampling baselines across multiple benchmarks.

Significance

FLAG addresses the weight collapse issue in global importance sampling by localizing the sampling region, significantly improving sample efficiency and scalability in policy optimization for high-dimensional action spaces.

Technical Contribution

FLAG introduces latent-augmented MDP, proposes a cross-entropy-based proxy MaxEnt objective, and optimizes it via an EM algorithm. Its local importance sampling strategy effectively resolves the sparsity issue of global sampling.

Novelty

FLAG is the first to apply flow-matching models to MaxEnt-RL, achieving local importance sampling through latent-augmented guidance, providing new theoretical foundations and optimization methods.

Limitations

  • FLAG may still face sample efficiency challenges in extreme high-dimensional environments.
  • Increased model complexity may lead to higher computational costs.

Future Work

Future work could explore applying FLAG in more complex multi-task environments and optimizing its computational efficiency for real-time applications.

AI Executive Summary

Maximum entropy reinforcement learning (MaxEnt-RL) enhances decision-making robustness and exploration by introducing an entropy regularization term. However, existing methods often parameterize policies as simple Gaussian distributions, limiting their expressiveness. FLAG optimizes flow policy with latent-augmented guidance using local importance sampling to avoid weight collapse. Experiments demonstrate FLAG excels in high-dimensional control tasks, enabling expressive policy optimization with limited importance samples, achieving state-of-the-art performance. It outperforms global importance sampling baselines across multiple benchmarks, showcasing its potential in complex control tasks. Although FLAG may still face sample efficiency challenges in extreme high-dimensional environments, its innovative local sampling strategy provides new directions for future research.

Deep Analysis

Background

Maximum entropy reinforcement learning (MaxEnt-RL) enhances decision-making robustness and exploration by introducing an entropy regularization term. Traditional methods often parameterize policies as simple Gaussian distributions, limiting their expressiveness. Recent efforts have attempted to improve performance in high-dimensional continuous control tasks through diffusion and flow-based generative policies.

Core Problem

Existing generative policy methods typically require Backpropagation Through Time (BPTT) across multiple generative steps, which can suffer from numerical instability. Additionally, global importance sampling in high-dimensional spaces can lead to weight collapse, resulting in poor sample efficiency.

Innovation

FLAG optimizes flow policy with latent-augmented guidance using local importance sampling to avoid weight collapse. It augments the state space with a flow latent variable and optimizes a provably consistent proxy MaxEnt-RL objective.

Methodology

  • �� Introduce latent-augmented MDP and optimize flow policy using local importance sampling.
  • �� Use cross-entropy as a proxy MaxEnt objective to avoid intractable global policy entropy computation.
  • �� Perform local policy updates via EM algorithm, utilizing latent-conditioned guidance for flow policy optimization.

Experiments

Experiments were conducted on benchmark suites like DMC, MyoSuite, and MuJoCo, evaluating FLAG's performance in high-dimensional action spaces. Training employed distributional critics and evaluations were conducted across multiple random seeds.

Results

Results show FLAG excels in high-dimensional control tasks, enabling expressive policy optimization with limited importance samples, achieving state-of-the-art performance. It outperforms global importance sampling baselines across multiple benchmarks.

Applications

FLAG is suitable for complex high-dimensional control tasks such as robotic navigation and multi-goal decision-making. Its local sampling strategy enhances sample efficiency, making it apt for real-time applications.

Limitations & Outlook

While FLAG performs well in high-dimensional environments, it may still face sample efficiency challenges in extreme high-dimensional settings. Additionally, increased model complexity may lead to higher computational costs.

Plain Language Accessible to non-experts

Imagine a kitchen where a chef needs to prepare multiple dishes in limited time. Traditional methods are like using one spice for all dishes, which might not yield the best results. FLAG is like a smart chef who chooses different spices for each dish based on its characteristics, ensuring each dish is optimal. By using local sampling strategies, FLAG achieves efficient policy optimization with limited sample budgets, just like a chef completing multiple dishes in limited time.

ELI14 Explained like you're 14

Imagine playing a complex game where you need to make the best decisions in different levels. Traditional methods are like using one strategy for all levels, which might not work well. FLAG is like a smart player who chooses different strategies for each level based on its characteristics, ensuring smooth progress. By using local sampling strategies, FLAG achieves efficient policy optimization with limited sample budgets, just like a player completing all levels in limited time.

Glossary

Maximum Entropy Reinforcement Learning (MaxEnt-RL)

A reinforcement learning method that enhances decision-making robustness by introducing an entropy regularization term.

Used in the paper to improve policy expressiveness.

Flow Policy

A generative policy method that uses flow models to generate actions.

Used to optimize policies in high-dimensional control tasks.

Importance Sampling

A sampling method that adjusts sample weights to improve estimation efficiency.

Used in the paper to optimize policy sampling efficiency.

Latent-Augmented MDP

An extended state space method that includes latent variables in MDP.

Used to achieve local importance sampling.

Cross-Entropy

A method to measure the difference between distributions.

Used to optimize the proxy MaxEnt objective.

Open Questions Unanswered questions from this research

  • 1 How to further improve sample efficiency in extreme high-dimensional environments?
  • 2 How to optimize FLAG's computational cost for real-time applications?

Applications

Immediate Applications

Robotic Navigation

FLAG can be used to optimize robotic navigation strategies in complex environments, improving sample efficiency and decision quality.

Long-term Vision

Multi-Goal Decision-Making

FLAG can be applied to complex multi-goal decision-making tasks like autonomous driving and smart manufacturing, providing efficient policy optimization.

Abstract

Maximum entropy reinforcement learning (MaxEnt-RL) enables robust exploration, yet practical implementations often restrict policies to simple Gaussians. While recent approaches incorporate expressive generative policies via importance-weighted supervised learning, they are prone to importance weight collapse, which limits their scalability in high-dimensional action spaces. Our key insight is to mitigate this limitation by localizing the sampling region, avoiding the weight degeneracy induced by importance sampling over the entire action space. To instantiate this insight, we introduce \textbf{FLAG} (\textbf{F}low policy with \textbf{L}atent-\textbf{A}ugmented \textbf{G}uidance). FLAG augments the state space with a flow latent variable and optimizes a provably consistent proxy MaxEnt-RL objective. We empirically demonstrate that FLAG enables expressive policy optimization with limited importance samples and scales to high-dimensional control tasks. Furthermore, FLAG achieves state-of-the-art performance across challenging benchmarks. Our project webpage: https://flag-rl.github.io/

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