Paper Citation Record · LEDGER

Quadratically Regularized Optimal Transport: Localization Bounds and Affine Case Analysis

As of 10 August 2026, this Paper Citation Record lists 11 of 11 outbound references and 0 inbound Pith citation observations for arXiv:2605.24644.

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

pith.paper-citation-record.v1
2605.24644 v2

Coverage vector

measured 11 of 11 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-30T13:08:46.020084Z

measured 11 of 11 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

11 of 11 outbound references displayed

verified exact5
verified fuzzy5
unresolved0
parse uncertain0
malformed identifier0
metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4922b792-ab54-43f1-be46-1146ea61f686 · outbound

This paper cites Stability Bounds for Smooth Optimal Transport Maps and their Statistical Implications.

Quadratically Regularized Optimal Transport: Localization Bounds and Affine Case Analysis Stability Bounds for Smooth Optimal Transport Maps and their Statistical Implications

Reference 1

Resolution: verified exact; arxiv_id, observed 2026-06-30T13:14:40.860073Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 46c42a15-8f3d-4162-bfe2-190aced93e70 · outbound

This paper cites Infinitesimal behavior of Quadratically Regularized Optimal Transport and its relation with the Porous Medium Equation.

Quadratically Regularized Optimal Transport: Localization Bounds and Affine Case Analysis Infinitesimal behavior of Quadratically Regularized Optimal Transport and its relation with the Porous Medium Equation

Reference 2

Resolution: metadata mismatch; arxiv_id, observed 2026-06-30T13:14:40.857104Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 8cb0a3b3-f951-4750-86c2-6b9c52aa9e70 · outbound

This paper cites González-Sanz and M.

Quadratically Regularized Optimal Transport: Localization Bounds and Affine Case Analysis González-Sanz and M

Reference 3

Resolution: verified exact; arxiv_id, observed 2026-06-30T13:14:40.849130Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 7358a014-8e82-49e5-8f98-0ab40d8c194d · outbound

This paper cites Gvalani and Lukas Koch,Sparsity and uniform regularity for regularised optimal transport, arXiv preprint (2026).

Quadratically Regularized Optimal Transport: Localization Bounds and Affine Case Analysis Gvalani and Lukas Koch,Sparsity and uniform regularity for regularised optimal transport, arXiv preprint (2026)

Reference 4

Resolution: verified exact; arxiv_id, observed 2026-06-30T13:14:40.851812Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation cde7e6d3-3ea2-4e40-aff4-dcb3cf2eac86 · outbound

This paper cites T., Ben-Hamu, H., Nickel, M., and Le, M.

Quadratically Regularized Optimal Transport: Localization Bounds and Affine Case Analysis T., Ben-Hamu, H., Nickel, M., and Le, M

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T03:25:58.564328Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation a572eec8-0ebf-44a7-af14-301062be31fb · outbound

This paper cites Rectified Flow: A Marginal Preserving Approach to Optimal Transport.

Quadratically Regularized Optimal Transport: Localization Bounds and Affine Case Analysis Rectified Flow: A Marginal Preserving Approach to Optimal Transport

Reference 6

Resolution: verified exact; local_arxiv, observed 2026-06-30T13:14:40.854186Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 608f8a43-e12d-49ce-9d2b-fbb4ab960c9b · outbound

This paper cites A., Manns, P., and Meyer, C.

Quadratically Regularized Optimal Transport: Localization Bounds and Affine Case Analysis A., Manns, P., and Meyer, C

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T03:25:58.566026Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation d4bcfa0d-6d0c-4f89-81ea-b1320d4189c2 · outbound

This paper cites Entropic estimation of optimal transport maps.

Quadratically Regularized Optimal Transport: Localization Bounds and Affine Case Analysis Entropic estimation of optimal transport maps

Reference 8

Resolution: verified exact; arxiv_id, observed 2026-06-30T13:14:40.846128Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 53912826-11be-420d-8cfc-596ccf8ae3ec · outbound

This paper cites Thereforem ε >0.

Quadratically Regularized Optimal Transport: Localization Bounds and Affine Case Analysis Thereforem ε >0

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T03:25:58.562635Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 345c9ea9-3ba8-47c0-a61a-6fb2603640ef · outbound

This paper cites Writing A−1(y−a)−m 0 =A −1 y−(Am 0 +a) , we may rewrite the right-hand side of (A.10) as y−(Am 0 +a) ⊤ A−⊤Σ−1 0 A−1 y−(Am 0 +a) +C.

Quadratically Regularized Optimal Transport: Localization Bounds and Affine Case Analysis Writing A−1(y−a)−m 0 =A −1 y−(Am 0 +a) , we may rewrite the right-hand side of (A.10) as y−(Am 0 +a) ⊤ A−⊤Σ−1 0 A−1 y−(Am 0 +a) +C

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T03:25:58.567893Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 7c71b019-75a0-46b1-96f6-bc0191d1acb4 · outbound

This paper cites 17:Output:(f (k), g(k), π).

Quadratically Regularized Optimal Transport: Localization Bounds and Affine Case Analysis 17:Output:(f (k), g(k), π)

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T03:25:58.569566Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Pith citing papers

No inbound Pith citation observations are available.