Paper Citation Record · LEDGER

Forward Reverse Kernel Regression for the Schr\"{o}dinger bridge problem

As of 22 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 1 inbound Pith citation observation for arXiv:2507.00640.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2507.00640 v1

Coverage vector

measured 26 of 26 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T21:20:54.771781Z

measured 27 of 27 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-08T15:24:07.914355Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-05-11T18:36:07.585632Z

Reference resolution

26 of 26 outbound references displayed

verified exact0
verified fuzzy19
unresolved6
parse uncertain0
malformed identifier0
metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d5b3e71b-b211-4c55-88e2-6bc57e7b42a6 · outbound

This paper cites Conditional simulation via entropic optimal transport: Toward non-parametric estimation of conditional Brenier maps.

Forward Reverse Kernel Regression for the Schr\"{o}dinger bridge problem Conditional simulation via entropic optimal transport: Toward non-parametric estimation of conditional Brenier maps

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-06T21:20:53.014233Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d5f4a532-23f0-490f-80b0-50a8f68bc1df · outbound

This paper cites Simulation of forward-reverse stochastic representations for condi- tional diffusions.Ann.

Forward Reverse Kernel Regression for the Schr\"{o}dinger bridge problem Simulation of forward-reverse stochastic representations for condi- tional diffusions.Ann

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:20:55.290521Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation a0f248b9-69dd-470d-9ac3-d0cbb1016887 · outbound

This paper cites Iterative bregman projections for regularized transportation problems.

Forward Reverse Kernel Regression for the Schr\"{o}dinger bridge problem Iterative bregman projections for regularized transportation problems

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:20:55.274531Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation a5ddf3fb-73a9-42e8-b10b-6e43f8d1afe3 · outbound

This paper cites An automorphism of product measures.Ann.

Forward Reverse Kernel Regression for the Schr\"{o}dinger bridge problem An automorphism of product measures.Ann

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:20:55.257886Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 7c052bbd-c342-40ad-afdf-e06434ce1c7d · outbound

This paper cites Entropic and displacement interpolation: a computa- tional approach using the Hilbert metric.SIAM J.

Forward Reverse Kernel Regression for the Schr\"{o}dinger bridge problem Entropic and displacement interpolation: a computa- tional approach using the Hilbert metric.SIAM J

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:20:55.240656Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 686dccb2-ea61-4552-9f9c-1447b80d383c · outbound

This paper cites Georgiou, and Michele Pavon.

Forward Reverse Kernel Regression for the Schr\"{o}dinger bridge problem Georgiou, and Michele Pavon

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:20:55.223775Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation b20d2072-55c4-42ff-a088-ee8b85b60047 · outbound

This paper cites On the convergence rate of sinkhorn’s algorithm.SIAM Journal on Optimization, 31(2):1478–1498, 2021.

Forward Reverse Kernel Regression for the Schr\"{o}dinger bridge problem On the convergence rate of sinkhorn’s algorithm.SIAM Journal on Optimization, 31(2):1478–1498, 2021

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:20:55.206885Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation f78793ba-d76e-40aa-8125-fd4aaf5e28ea · outbound

This paper cites an unresolved cited work.

Forward Reverse Kernel Regression for the Schr\"{o}dinger bridge problem Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:20:55.189622Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 703e4f3b-4fc9-4d75-a730-168aa91882aa · outbound

This paper cites Diffusion schrödinger bridge with applications to score-based generative modeling.

Forward Reverse Kernel Regression for the Schr\"{o}dinger bridge problem Diffusion schrödinger bridge with applications to score-based generative modeling

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:20:55.158304Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 990a0f9e-eaf6-4283-a9fe-f280523ab0bf · outbound

This paper cites Uniform in bandwidth consistency of kernel regression estimators at a fixed point.

Forward Reverse Kernel Regression for the Schr\"{o}dinger bridge problem Uniform in bandwidth consistency of kernel regression estimators at a fixed point

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:20:55.135590Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation f7ece422-886e-4b3d-8d8a-67655fd4254f · outbound

This paper cites Hilbert’s projective metric for functions of bounded growth and exponential convergence of Sinkhorn’s algorithm.Probability Theory and Related Fields, pages 1–37, 2025.

Forward Reverse Kernel Regression for the Schr\"{o}dinger bridge problem Hilbert’s projective metric for functions of bounded growth and exponential convergence of Sinkhorn’s algorithm.Probability Theory and Related Fields, pages 1–37, 2025

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:20:55.116392Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 8b5787da-0f7b-4c76-8a0d-ed854acb5ba6 · outbound

This paper cites an unresolved cited work.

Forward Reverse Kernel Regression for the Schr\"{o}dinger bridge problem Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:20:55.098523Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 6cbd1f6b-53b1-413d-998f-afee09c1881a · outbound

This paper cites an unresolved cited work.

Forward Reverse Kernel Regression for the Schr\"{o}dinger bridge problem Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:20:55.079815Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation f03f1b3f-6fe3-405c-9016-e2f16a12af79 · outbound

This paper cites Reciprocal processes.Z.

Forward Reverse Kernel Regression for the Schr\"{o}dinger bridge problem Reciprocal processes.Z

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:20:55.062399Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 5a0bd48b-1338-452f-abc5-3a77114b11dc · outbound

This paper cites Kurbanmuradov, U.

Forward Reverse Kernel Regression for the Schr\"{o}dinger bridge problem Kurbanmuradov, U

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:20:55.045502Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 8652963b-6f0b-4bb1-812c-be2799468cca · outbound

This paper cites Birkhoff’s version of hilbert’s metric and applications.

Forward Reverse Kernel Regression for the Schr\"{o}dinger bridge problem Birkhoff’s version of hilbert’s metric and applications

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:20:55.027534Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 4082ac04-af9c-4363-a251-e94ade50a794 · outbound

This paper cites A survey of the schrödinger problem and some of its connections with optimal transport.

Forward Reverse Kernel Regression for the Schr\"{o}dinger bridge problem A survey of the schrödinger problem and some of its connections with optimal transport

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:20:55.006742Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 976f87f8-152b-4074-b36c-7941966c5767 · outbound

This paper cites A survey of the schrödinger problem and some of its connections with optimal transport.

Forward Reverse Kernel Regression for the Schr\"{o}dinger bridge problem A survey of the schrödinger problem and some of its connections with optimal transport

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:20:54.988929Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation b61179db-0e77-4c5b-ac5a-e4ef94be90de · outbound

This paper cites Milstein, John G.

Forward Reverse Kernel Regression for the Schr\"{o}dinger bridge problem Milstein, John G

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:20:54.971465Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 992dd7d0-26f2-4b6e-ae97-54f77f5e2d10 · outbound

This paper cites The data-driven Schroedinger bridge.

Forward Reverse Kernel Regression for the Schr\"{o}dinger bridge problem The data-driven Schroedinger bridge

Reference 20

Resolution: metadata mismatch; local_arxiv, observed 2026-08-06T21:20:54.842414Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation fdc5a803-f821-4826-a189-c5a942e9c8ac · outbound

This paper cites Computational optimal transport: With applications to data science.Foun- dations and Trends in Machine Learning, 11(5–6):355–607, 2019.

Forward Reverse Kernel Regression for the Schr\"{o}dinger bridge problem Computational optimal transport: With applications to data science.Foun- dations and Trends in Machine Learning, 11(5–6):355–607, 2019

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:20:54.951410Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation a3d21901-9aa0-41c1-b331-25aa657fe4be · outbound

This paper cites Plug-in estimation of Schr\"odinger bridges.

Forward Reverse Kernel Regression for the Schr\"{o}dinger bridge problem Plug-in estimation of Schr\"odinger bridges

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-06T21:20:54.751922Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 32b417ef-8474-4b7f-b774-191381f6d426 · outbound

This paper cites Guided proposals for simulating multi- dimensional diffusion bridges.Bernoulli, 23(4A):2917–2950, 2017.

Forward Reverse Kernel Regression for the Schr\"{o}dinger bridge problem Guided proposals for simulating multi- dimensional diffusion bridges.Bernoulli, 23(4A):2917–2950, 2017

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:20:54.933854Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 844a6402-5fbc-4641-a6c5-00a97dcecc66 · outbound

This paper cites Über die umkehrung der naturgesetze.Sitzungsberichte der Preußischen Akademie der Wissenschaften, Physikalisch-Mathematische Klasse, pages 144–153, 1932.

Forward Reverse Kernel Regression for the Schr\"{o}dinger bridge problem Über die umkehrung der naturgesetze.Sitzungsberichte der Preußischen Akademie der Wissenschaften, Physikalisch-Mathematische Klasse, pages 144–153, 1932

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:20:54.914662Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation db60a3e6-b987-4be8-80bc-c46bce6cdcaa · outbound

This paper cites an unresolved cited work.

Forward Reverse Kernel Regression for the Schr\"{o}dinger bridge problem Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:20:54.895897Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation a1c3a041-ccbc-44d1-b2bf-b38505d77ee3 · outbound

This paper cites Springer Science & Business Media, 2003.

Forward Reverse Kernel Regression for the Schr\"{o}dinger bridge problem Springer Science & Business Media, 2003

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:20:54.877856Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Pith citing papers

Observation 49ca504d-ccf6-420f-adfa-5d22dfe9ba2d · inbound

Direct Estimation of Schr\"odinger Bridge Time-Series Drifts: Finite-Sample, Asymptotic, and Adaptive Guarantees cites this paper.

Direct Estimation of Schr\"odinger Bridge Time-Series Drifts: Finite-Sample, Asymptotic, and Adaptive Guarantees Forward Reverse Kernel Regression for the Schr\"{o}dinger bridge problem

Reference 2

Resolution: verified exact; arxiv_id, observed 2026-05-11T18:36:07.587386Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.