Generative optimal transport via forward-backward HJB matching
Controlling the evolution of a many-body stochastic system from a disordered reference state to a structured target ensemble, characterized empirically through samples, arises naturally in non-equilibrium statistical mechanics and stochastic control. The natural relaxation of such a system - driven by diffusion - runs from the structured target toward the disordered reference. The natural question is then: what is the minimum-work stochastic process that reverses this relaxation, given a pathwise cost functional combining spatial penalties and control effort? Computing this optimal process requires knowledge of trajectories that already sample the target ensemble - precisely the object on...
| Authors | Haiqian Yang, Vishaal Krishnan, Sumit Sinha et al. |
|---|---|
| Primary category | cond-mat.stat-mech |
| Published | 9 April 2026 |
| Last updated at source | 9 April 2026 |
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