4 papers
WFR-FM: Simulation-Free Dynamic Unbalanced Optimal Transport
Qiangwei Peng, Zihan Wang, Junda Ying +5
The Wasserstein-Fisher-Rao (WFR) metric extends dynamic optimal transport (OT) by coupling displacement with change of mass, providing a principled geometry for modeling unbalanced…
Variational Regularized Unbalanced Optimal Transport: Single Network, Least Action
Yuhao Sun, Zhenyi Zhang, Zihan Wang +2
Recovering the dynamics from a few snapshots of a high-dimensional system is a challenging task in statistical physics and machine learning, with important applications in computat…
Modeling Cell Dynamics and Interactions with Unbalanced Mean Field Schrödinger Bridge
Zhenyi Zhang, Zihan Wang, Yuhao Sun +2
Modeling the dynamics from sparsely time-resolved snapshot data is crucial for understanding complex cellular processes and behavior. Existing methods leverage optimal transport, S…
Integrating Dynamical Systems Modeling with Spatiotemporal scRNA-seq Data Analysis
Zhenyi Zhang, Yuhao Sun, Qiangwei Peng +2
Understanding the dynamic nature of biological systems is fundamental to deciphering cellular behavior, developmental processes, and disease progression. Single-cell RNA sequencing…