Schrödinger Bridges on Lie Group Manifolds for Probabilistic Intrinsic Generation
Generative modeling directly on geometric manifolds can avoid errors introduced by flattening non-Euclidean data, repeated ambient projection, and coordinate inconsistency in Euclidean representations. Schrodinger bridges provide a probabilistic generative framework for entropy-regularized transport between prescribed endpoint distributions. We study Schrodinger bridges for kinetic dynamics on Lie group manifolds with state X_t = (g_t, xi_t) in G x g, allowing endpoint observations to constrain only the variables that are actually measured. In particular, the entropy projection determines the conditional law of the unobserved endpoint velocities. For the same observed endpoint bridge, we ...
| Authors | Shizhe Zhang, Mingyang Zhao, Lei Ma |
|---|---|
| Primary category | stat.ML |
| Published | 2 September 2026 |
| Last updated at source | 2 September 2026 |
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