4 papers
Dynamic Generalized Gromov-Wasserstein Optimal Transport
Junda Ying, Zhiwei Zeng, Peijie Zhou +1
Gromov--Wasserstein optimal transport (GW-OT) extends classical optimal transport by introducing structure-aware transport cost. This is particularly relevant for spatial transcrip…
Simulation-free Unbalanced Dynamic Optimal Transport with General Growth Penalty
Junda Ying, Yuxuan Wang, Bowen Yang +2
Inferring cellular dynamics from unpaired single-cell snapshots requires modeling both state transitions and population growth or death. Unbalanced dynamic optimal transport (UDOT)…
Beyond Continuity: Simulation-free Reconstruction of Discrete Branching Dynamics from Single-cell Snapshots
Junda Ying, Yuxuan Wang, Bowen Yang +2
Inferring cellular trajectories from destructive snapshots is complicated by the challenges of stochasticity and non-conservative mass dynamics such as cell proliferation and apopt…
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…