Theoretical Guarantees for Domain Adaptation with Hierarchical Optimal Transport
RESEARCH
Optimal Transport theory provides a rigorous mathematical framework for comparing probability distributions. Originating in the work of Gaspard Monge and later broadened by Leonid Kantorovich, it offers a principled way to address questions of comparison, alignment, and transformation between measures.
In my research, it serves as a geometric foundation for modeling, computation, and theoretical guarantees.