TY - JOUR AU - Mi, Liang AU - Zhang, Wen AU - Wang, Yalin PY - 2020/04/03 Y2 - 2024/03/28 TI - Regularized Wasserstein Means for Aligning Distributional Data JF - Proceedings of the AAAI Conference on Artificial Intelligence JA - AAAI VL - 34 IS - 04 SE - AAAI Technical Track: Machine Learning DO - 10.1609/aaai.v34i04.5960 UR - https://ojs.aaai.org/index.php/AAAI/article/view/5960 SP - 5166-5173 AB - <p>We propose to align distributional data from the perspective of Wasserstein means. We raise the problem of regularizing Wasserstein means and propose several terms tailored to tackle different problems. Our formulation is based on the variational transportation to distribute a sparse discrete measure into the target domain. The resulting sparse representation well captures the desired property of the domain while reducing the mapping cost. We demonstrate the scalability and robustness of our method with examples in domain adaptation, point set registration, and skeleton layout.</p> ER -