  In this paper, we consider the intersection of two problems in machine
learning: Multi-Source Domain Adaptation (MSDA) and Dataset Distillation (DD).
On the one hand, the first considers adapting multiple heterogeneous labeled
source domains to an unlabeled target domain. On the other hand, the second
attacks the problem of synthesizing a small summary containing all the
information about the datasets. We thus consider a new problem called MSDA-DD.
To solve it, we adapt previous works in the MSDA literature, such as
Wasserstein Barycenter Transport and Dataset Dictionary Learning, as well as DD
method Distribution Matching. We thoroughly experiment with this novel problem
on four benchmarks (Caltech-Office 10, Tennessee-Eastman Process, Continuous
Stirred Tank Reactor, and Case Western Reserve University), where we show that,
even with as little as 1 sample per class, one achieves state-of-the-art
adaptation performance.
