Geometric Domain Adaptation via Optimal Transport for Linear Regression in R^2
arXiv:2606.14023v1 Announce Type: new Abstract: Optimal Transport has become recently a powerful method for domain adaptation by aligning source and target distributions. We study a supervised domain adaptation problem where source and target domains are related by a rotation or a translation or a homothety in $mathbb{R}^2$. We prove that the optimal transport map recovers the underlying map when using a $p-$norm cost with $p geq 2$. Based on this insight, we develop a method combining $K-$means and […]