Understanding Behavioral Metric Learning: A Large-Scale Study on Distracting Reinforcement Learning Environments

Fuente: arXiv
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Main Authors: Luo, Ziyan, Ni, Tianwei, Bacon, Pierre-Luc, Precup, Doina, Si, Xujie
Format: Preprint
Published: 2025
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author Luo, Ziyan
Ni, Tianwei
Bacon, Pierre-Luc
Precup, Doina
Si, Xujie
author_facet Luo, Ziyan
Ni, Tianwei
Bacon, Pierre-Luc
Precup, Doina
Si, Xujie
contents A key approach to state abstraction is approximating behavioral metrics (notably, bisimulation metrics) in the observation space and embedding these learned distances in the representation space. While promising for robustness to task-irrelevant noise, as shown in prior work, accurately estimating these metrics remains challenging, requiring various design choices that create gaps between theory and practice. Prior evaluations focus mainly on final returns, leaving the quality of learned metrics and the source of performance gains unclear. To systematically assess how metric learning works in deep reinforcement learning (RL), we evaluate five recent approaches, unified conceptually as isometric embeddings with varying design choices. We benchmark them with baselines across 20 state-based and 14 pixel-based tasks, spanning 370 task configurations with diverse noise settings. Beyond final returns, we introduce the evaluation of a denoising factor to quantify the encoder's ability to filter distractions. To further isolate the effect of metric learning, we propose and evaluate an isolated metric estimation setting, in which the encoder is influenced solely by the metric loss. Finally, we release an open-source, modular codebase to improve reproducibility and support future research on metric learning in deep RL.
format Preprint
id arxiv_https___arxiv_org_abs_2506_00563
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Understanding Behavioral Metric Learning: A Large-Scale Study on Distracting Reinforcement Learning Environments
Luo, Ziyan
Ni, Tianwei
Bacon, Pierre-Luc
Precup, Doina
Si, Xujie
Machine Learning
Artificial Intelligence
A key approach to state abstraction is approximating behavioral metrics (notably, bisimulation metrics) in the observation space and embedding these learned distances in the representation space. While promising for robustness to task-irrelevant noise, as shown in prior work, accurately estimating these metrics remains challenging, requiring various design choices that create gaps between theory and practice. Prior evaluations focus mainly on final returns, leaving the quality of learned metrics and the source of performance gains unclear. To systematically assess how metric learning works in deep reinforcement learning (RL), we evaluate five recent approaches, unified conceptually as isometric embeddings with varying design choices. We benchmark them with baselines across 20 state-based and 14 pixel-based tasks, spanning 370 task configurations with diverse noise settings. Beyond final returns, we introduce the evaluation of a denoising factor to quantify the encoder's ability to filter distractions. To further isolate the effect of metric learning, we propose and evaluate an isolated metric estimation setting, in which the encoder is influenced solely by the metric loss. Finally, we release an open-source, modular codebase to improve reproducibility and support future research on metric learning in deep RL.
title Understanding Behavioral Metric Learning: A Large-Scale Study on Distracting Reinforcement Learning Environments
topic Machine Learning
Artificial Intelligence
url https://arxiv.org/abs/2506.00563