4 papers
Synchronized Optimal Transport for Joint Modeling of Dynamics Across Multiple Spaces
Zixuan Cang, Yanxiang Zhao
Optimal transport has been an essential tool for reconstructing dynamics from complex data. With the increasingly available multifaceted data, a system can often be characterized a…
Supervised Gromov-Wasserstein Optimal Transport
Zixuan Cang, Yaqi Wu, Yanxiang Zhao
We introduce the supervised Gromov-Wasserstein (sGW) optimal transport, an extension of Gromov-Wasserstein by incorporating potential infinity patterns in the cost tensor. sGW enab…
Topological and geometric analysis of cell states in single-cell transcriptomic data
Tram Huynh, Zixuan Cang
Single-cell RNA sequencing (scRNA-seq) enables dissecting cellular heterogeneity in tissues, resulting in numerous biological discoveries. Various computational methods have been d…
Supervised Optimal Transport
Zixuan Cang, Qing Nie, Yanxiang Zhao
Optimal Transport, a theory for optimal allocation of resources, is widely used in various fields such as astrophysics, machine learning, and imaging science. However, many applica…