LGJul 2, 2015

Optimal Transport for Domain Adaptation

arXiv:1507.00504v21333 citations
AI Analysis

This addresses the problem of making models robust across different data domains, such as in visual adaptation, but appears incremental as it builds on existing optimal transport strategies.

The paper tackles domain adaptation by proposing a regularized unsupervised optimal transport model to align source and target domain representations, which consistently outperforms state-of-the-art approaches in experiments.

Domain adaptation from one data space (or domain) to another is one of the most challenging tasks of modern data analytics. If the adaptation is done correctly, models built on a specific data space become more robust when confronted to data depicting the same semantic concepts (the classes), but observed by another observation system with its own specificities. Among the many strategies proposed to adapt a domain to another, finding a common representation has shown excellent properties: by finding a common representation for both domains, a single classifier can be effective in both and use labelled samples from the source domain to predict the unlabelled samples of the target domain. In this paper, we propose a regularized unsupervised optimal transportation model to perform the alignment of the representations in the source and target domains. We learn a transportation plan matching both PDFs, which constrains labelled samples in the source domain to remain close during transport. This way, we exploit at the same time the few labeled information in the source and the unlabelled distributions observed in both domains. Experiments in toy and challenging real visual adaptation examples show the interest of the method, that consistently outperforms state of the art approaches.

Foundations

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