Derives a conformal Wasserstein-Fisher metric for belief revision costs from postulates on transport pricing and uniform nat pricing, yielding infinite cost at certainty and hyperbolic geometry on location-scale families.
Extremal flows on Wasserstein space
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
We develop an intrinsic geometric approach to calculus of variations on Wasserstein space. We show that the flows associated to the Schroedinger bridge with general prior, to Optimal Mass Transport and to the Madelung fluid can all be characterized as annihilating the first variation of a suitable action. We then discuss the implications of this unified framework for stochastic mechanics: It entails, in particular, a sort of fluid-dynamic reconciliation between Bohm's and Nelson's stochastic mechanics.
fields
cs.LG 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
A Transport-Based Geometry of Belief-Cost
Derives a conformal Wasserstein-Fisher metric for belief revision costs from postulates on transport pricing and uniform nat pricing, yielding infinite cost at certainty and hyperbolic geometry on location-scale families.