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math.NA2024
Ultraspherical Spectral Method for Block Copolymer Systems on Unit Disk
Wangbo Luo, Yanxiang Zhao
In this paper, we investigate ultraspherical spectral method for the Ohta-Kawasaki (OK) and Nakazawa-Ohta (NO) models in the disk domain, representing diblock and triblock copolyme…
math.OC2024
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…
math.OC2024
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…