Generalization Bounds For Meta-Learning: An Information-Theoretic AnalysisDownload PDF

21 May 2021, 20:47 (modified: 21 Jan 2022, 17:47)NeurIPS 2021 SpotlightReaders: Everyone
Keywords: meta-learning, few-shot learning, deep learning
Abstract: We derive a novel information-theoretic analysis of the generalization property of meta-learning algorithms. Concretely, our analysis proposes a generic understanding in both the conventional learning-to-learn framework \citep{amit2018meta} and the modern model-agnostic meta-learning (MAML) algorithms \citep{finn2017model}. Moreover, we provide a data-dependent generalization bound for the stochastic variant of MAML, which is \emph{non-vacuous} for deep few-shot learning. As compared to previous bounds that depend on the square norms of gradients, empirical validations on both simulated data and a well-known few-shot benchmark show that our bound is orders of magnitude tighter in most conditions.
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