学習可能な基底関数を持つ深層ベイズ強化学習における一般化線形モデル
Generalised Linear Models in Deep Bayesian RL with Learnable Basis Functions
深層ベイズ強化学習において、タスクパラメータとモデルノイズに対する完全に解析可能なベイズ推論と、遷移・報酬モデル学習のための厳密な周辺尤度評価を可能にする一般化線形モデル(GLiBRL)を提案し、MuJoCoとMetaWorldで最大1.8倍の性能向上を達成した。
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著者: Jingyang You, Hanna Kurniawati
分類: cs.LG, cs.AI, cs.RO
原文アブストラクト
Bayesian Reinforcement Learning (BRL), a subclass of Meta-Reinforcement Learning (Meta-RL), provides a principled framework for generalisation by explicitly incorporating Bayesian task parameters into transition and reward models. However, classical BRL methods assume known forms of transition and reward models. While recent deep BRL methods incorporate model learning to address this, applying neural networks directly to joint data and task parameters necessitates variational inference. This often yields indistinct task representations, compromising the resulting BRL policies. To overcome these limitations, we introduce Generalised Linear Models in Deep Bayesian RL with Learnable Basis Functions (GLiBRL). Our approach features fully tractable Bayesian inference over task parameters and model noise, alongside exact marginal likelihood evaluation for learning transition and reward models. The permutation-invariant nature of exact Bayesian inference in GLiBRL enables seamless integration with both on-policy and off-policy RL algorithms. We further show that GLiBRL admits a closed-form relationship between the $\mathcal{L}_2$ distance of its task representations and empirical kernel-based correspondence between task samples, which is to our knowledge the first such structural result for online deep BRL. GLiBRL is compared against representative and recent Meta-RL methods, and improves state-of-the-art performance on both MuJoCo and MetaWorld benchmarks by up to 1.8$\times$.
