LGAISep 29, 2025

XQC: Well-conditioned Optimization Accelerates Deep Reinforcement Learning

arXiv:2509.25174v114 citationsh-index: 11
Originality Incremental advance
AI Analysis

This addresses the problem of sample inefficiency for reinforcement learning practitioners, offering a principled and incremental improvement over existing methods.

The paper tackled sample efficiency in deep reinforcement learning by improving the optimization landscape of critic networks, achieving state-of-the-art sample efficiency across 70 continuous control tasks with fewer parameters.

Sample efficiency is a central property of effective deep reinforcement learning algorithms. Recent work has improved this through added complexity, such as larger models, exotic network architectures, and more complex algorithms, which are typically motivated purely by empirical performance. We take a more principled approach by focusing on the optimization landscape of the critic network. Using the eigenspectrum and condition number of the critic's Hessian, we systematically investigate the impact of common architectural design decisions on training dynamics. Our analysis reveals that a novel combination of batch normalization (BN), weight normalization (WN), and a distributional cross-entropy (CE) loss produces condition numbers orders of magnitude smaller than baselines. This combination also naturally bounds gradient norms, a property critical for maintaining a stable effective learning rate under non-stationary targets and bootstrapping. Based on these insights, we introduce XQC: a well-motivated, sample-efficient deep actor-critic algorithm built upon soft actor-critic that embodies these optimization-aware principles. We achieve state-of-the-art sample efficiency across 55 proprioception and 15 vision-based continuous control tasks, all while using significantly fewer parameters than competing methods.

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