We consider the problem of unsupervised domain adaptation from multiple sources in a regression setting. We propose in this work an original method to take benefit of different sources using a weighted combination of the sources. For this purpose, we define a new measure of similarity between probabilities for domain adaptation which we call hypothesisdiscrepancy. We then prove a new bound for unsupervised domain adaptation combining multiple sources. We derive from this bound a novel adversarial domain adaptation algorithm adjusting weights given to each source, ensuring that sources related to the target receive higher weights. We finally evaluate our method on different public datasets and compare it to other domain adaptation baselines to demonstrate the improvement for regression tasks.

We present a novel instance-based approach to handle regression tasks in the context of supervised domain adaptation under an assumption of covariate shift. The approach developed in this paper is based on the assumption that the task on the target domain can be efficiently learned by adequately reweighting the source instances during training phase. We introduce a novel formulation of the optimization objective for domain adaptation which relies on a discrepancy distance characterizing the difference between domains according to a specific task and a class of hypotheses. To solve this problem, we develop an adversarial network algorithm which learns both the source weighting scheme and the task in one feed-forward gradient descent. We provide numerical evidence of the relevance of the method on public data sets for regression domain adaptation through reproducible experiments.

ADAPT is an open-source python library providing the implementation of several domain adaptation methods. The library is suited for scikit-learn estimator object (object which implement fit and predict methods) and tensorflow models. Most of the implemented methods are developed in an estimator agnostic fashion, offering various possibilities adapted to multiple usage. The library offers three modules corresponding to the three principal strategies of domain adaptation: (i) feature-based containing methods performing feature transformation; (ii) instance-based with the implementation of reweighting techniques and (iii) parameter-based proposing methods to adapt pre-trained models to novel observations. A full documentation is proposed online https://adapt-python.github.io/adapt/ with gallery of examples. Besides, the library presents an high test coverage.

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