361 citations · 786 across the 19 of their papers we have counts for
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Synchronization of Unbalanced Dynamical Optimal Transport across Multiple Spaces
Zixuan Cang, Jingfeng Wang, Xiaoqi Wei +1
Many biological systems are observed through heterogeneous modalities, requiring transport models that couple dynamics across spaces while allowing mass variation. To address this…
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…
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…