Research map / Probabilistic and scientific modeling / Dynamical systems
Neural Lagrangian Schr\"{o}dinger Bridge: Diffusion Modeling for Population Dynamics
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| model sample trajectories with stochastic diffusion and Lagrangian-based regularization | NLSB · Embryoid body scRNA-seq, 5D PCA | MDD (EMD-L2) | Mixed |
| model sample trajectories with stochastic diffusion | NLSB and other SDE-based methods · Diffuse single-cell transitions, t1 to t2 and t3 to t4 | MDD | Helped |
| use energy regularization only (ablation) | NLSB · Embryoid body scRNA-seq, 5D PCA | Mean CDD: 0.88, 0.72, 0.79 | Helped |
| use density regularization only (ablation) | NLSB · Embryoid body scRNA-seq, 5D PCA | Mean CDD: 1.64, 0.76, 0.77 | Mixed |
| use velocity regularization only (ablation) | NLSB · Embryoid body scRNA-seq, 5D PCA | Mean CDD: 1.15, 0.82, 0.86 | Mixed |
| combine energy, density, and velocity regularization (ablation) | NLSB · Embryoid body scRNA-seq, 5D PCA | MDD (EMD-L2): 0.68 ± 0.016; 0.84 ± 0.030; 0.81 ± 0.018; 0.79 ± 0.017 | Mixed |
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