Learning Domain-Invariant Relationship with Instrumental Variable for Domain Generalization
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Domain generalization (DG) aims to learn from multiple source domains a model that generalizes well on unseen target domains. Existing methods mainly learn input feature representations with invariant marginal distribution, while the invariance of the conditional distribution is more essential for unknown domain generalization. This paper proposes an instrumental variable-based approach to learn the domain-invariant relationship between input features and labels contained in the conditional distribution. Interestingly, with a causal view on the data generating process, we find that the input features of one domain are valid instrumental variables for other domains. Inspired by this finding, we design a simple yet effective framework to learn the Domain-invariant Relationship with Instrumental VariablE (DRIVE) via a two-stage IV method. Specifically, it first learns the conditional distribution of input features of one domain given input features of another domain, and then it estimates the domain-invariant relationship by predicting labels with the learned conditional distribution. Simulation experiments show the proposed method accurately captures the domain-invariant relationship. Extensive experiments on several datasets consistently demonstrate that DRIVE yields state-of-the-art results.
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