In this paper, we tackle Multi-Source Domain Adaptation (MSDA), a task in transfer learning where one adapts multiple heterogeneous, labeled source probability measures towards a different, unlabeled target measure. We propose a novel framework for MSDA, based on Optimal Transport (OT) and Gaussian Mixture Models (GMMs). Our framework has two key advantages. First, OT between GMMs can be solved efficiently via linear programming. Second, it provides a convenient model for supervised learning, especially classification, as components in the GMM can be associated with existing classes. Based on the GMM-OT problem, we propose a novel technique for calculating barycenters of GMMs. Based on this novel algorithm, we propose two new strategies for MSDA: GMM-WBT and GMM-DaDiL. We empirically evaluate our proposed methods on four benchmarks in image classification and fault diagnosis, showing that we improve over the prior art while being faster and involving fewer parameters.

多源领域自适应是迁移学习中的任务之一，本文提出了基于最优传输和高斯混合模型的新框架，在图像分类和故障诊断两个领域中，通过GMM-WBT和GMM-DaDiL策略实现多源领域自适应，显示出在提高性能的同时更快速、参数更少。

高斯混合模型与最优输运在多源域自适应中的轻量化、优化、快速