Paper Citation Record · LEDGER

Maximum Mean Discrepancy with Unequal Sample Sizes via Generalized U-Statistics

As of 16 August 2026, this Paper Citation Record lists 8 of 8 outbound references and 0 inbound Pith citation observations for arXiv:2512.13997.

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

pith.paper-citation-record.v1
2512.13997 v2

Coverage vector

measured 8 of 8 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T16:29:48.607237Z

measured 8 of 8 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+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

8 of 8 outbound references displayed

verified exact0
verified fuzzy0
unresolved8
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation ee4c41e6-af21-4a41-8e41-919b8f0a7f23 · outbound

This paper cites Demystifying MMD GANs.

Maximum Mean Discrepancy with Unequal Sample Sizes via Generalized U-Statistics Demystifying MMD GANs

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-03T16:29:47.810651Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ec0020cf-5e37-49df-b5e6-6c253270cbe8 · outbound

This paper cites an unresolved cited work.

Maximum Mean Discrepancy with Unequal Sample Sizes via Generalized U-Statistics Unresolved cited work

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-03T16:29:48.075918Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8829a8f6-e883-41bc-aebe-34cd86683b7c · outbound

This paper cites These have nonzero kernel covariance operators: for instance, ⟨k(1,·),C Pk(1,·)⟩= Var X∼P [k(1,X)] = 1 2·1 2 + 1 2·0 2− (1 2·1 + 1 2·0 )2 = 1 2− 1 4 = 1 4 >0.

Maximum Mean Discrepancy with Unequal Sample Sizes via Generalized U-Statistics These have nonzero kernel covariance operators: for instance, ⟨k(1,·),C Pk(1,·)⟩= Var X∼P [k(1,X)] = 1 2·1 2 + 1 2·0 2− (1 2·1 + 1 2·0 )2 = 1 2− 1 4 = 1 4 >0

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-03T16:29:48.203596Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 69a7908c-add4-4895-bf3c-297fa0313600 · outbound

This paper cites For (iii), letxbe in the support ofP, and suppose that∆ =µ P−µQ has∆(x)̸=c P.

Maximum Mean Discrepancy with Unequal Sample Sizes via Generalized U-Statistics For (iii), letxbe in the support ofP, and suppose that∆ =µ P−µQ has∆(x)̸=c P

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-03T16:29:48.285063Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c7b4615a-3bd9-4994-85b0-117cace32e5c · outbound

This paper cites an unresolved cited work.

Maximum Mean Discrepancy with Unequal Sample Sizes via Generalized U-Statistics Unresolved cited work

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-03T16:29:48.447225Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1916f9d8-79c7-480d-8594-be2d19fd2169 · outbound

This paper cites Therefore the final term vanishes asL→∞.

Maximum Mean Discrepancy with Unequal Sample Sizes via Generalized U-Statistics Therefore the final term vanishes asL→∞

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-03T16:29:48.607237Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a5d65efc-d8eb-4e19-a0f7-b5d9b29af7f1 · outbound

This paper cites AutoML Two-Sample Test.

Maximum Mean Discrepancy with Unequal Sample Sizes via Generalized U-Statistics AutoML Two-Sample Test

Reference 825

Resolution: unresolved; no resolver link, observed 2026-08-03T16:29:47.871198Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d8cdf8af-2836-43bc-af02-db4b5417ccfd · outbound

This paper cites Unbiased estimators for the variance of MMD estimators.

Maximum Mean Discrepancy with Unequal Sample Sizes via Generalized U-Statistics Unbiased estimators for the variance of MMD estimators

Reference 2291

Resolution: unresolved; no resolver link, observed 2026-08-03T16:29:47.984275Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.