In noisy and low-data regimes prevalent in real-world applications, an outstanding challenge of machine learning lies in effectively incorporating inductive biases that promote data efficiency and robustness. Meta-learning and informed ML stand out as two approaches for incorporating prior knowledge into the ML pipeline. While the former relies on a purely data-driven source of priors, the latter is guided by a formal representation of expert knowledge. This paper introduces a novel hybrid paradigm, informed meta-learning, seeking complementarity in cross-task knowledge sharing of humans and machines. We establish the foundational components of informed meta-learning and present a concrete instantiation of this framework--the Informed Neural Process. Through a series of illustrative and larger-scale experiments, we demonstrate the potential benefits of informed meta-learning in improving data efficiency and robustness to observational noise, task distribution shifts, and heterogeneity.
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Kobalczyk et al. (2024) studied this question.
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