Pith. sign in

REVIEW

On the Martingale Schr\"odinger Bridge between Two Distributions

Not yet reviewed by Pith; the record is open.

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2401.05209 v2 pith:TNFXKIVP submitted 2024-01-10 math.PR q-fin.MF

classification math.PRq-fin.MF
keywords martingalecouplingodingerschrbridgedistributionsgivenpotentials
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

We study a martingale Schr\"odinger bridge problem: given two probability distributions, find their martingale coupling with minimal relative entropy. Our main result provides Schr\"odinger potentials for this coupling. Namely, under certain conditions, the log-density of the optimal coupling is given by a triplet of real functions representing the marginal and martingale constraints. The potentials are also described as the solution of a dual problem.

Discussion (0). Continue with ORCID to comment.

Pith tools