Paper Citation Record · LEDGER

Sharp Rates of MMD Empirical Estimation with Power Kernels

As of 18 August 2026, this Paper Citation Record lists 42 of 42 outbound references and 4 inbound Pith citation observations for arXiv:2605.18497.

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

pith.paper-citation-record.v1
2605.18497 v2

Coverage vector

measured 42 of 42 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-30T18:31:00.675670Z

measured 46 of 46 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T15:22:26.314274Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-15T15:22:26.929661Z

Reference resolution

42 of 42 outbound references displayed

verified exact4
verified fuzzy34
unresolved4
parse uncertain0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 7bf02109-c4d9-4494-b286-9f4084f153db · outbound

This paper cites Oxford Mathematical Monographs.

Sharp Rates of MMD Empirical Estimation with Power Kernels Oxford Mathematical Monographs

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T04:14:30.348065Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 05c96262-61a3-42ae-9723-5b691bd88582 · outbound

This paper cites Lectures in Mathematics ETH Z¨ urich.

Sharp Rates of MMD Empirical Estimation with Power Kernels Lectures in Mathematics ETH Z¨ urich

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T04:14:30.338576Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation e1612872-e9cb-4d0f-a5f1-99ac48e22b59 · outbound

This paper cites From Kinetic Theory to AI: a Rediscovery of High-Dimensional Divergences and Their Properties.

Sharp Rates of MMD Empirical Estimation with Power Kernels From Kinetic Theory to AI: a Rediscovery of High-Dimensional Divergences and Their Properties

Reference 3

Resolution: verified exact; arxiv_id, observed 2026-06-30T18:35:00.385014Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 0b6fde97-9ca0-47f1-ae59-42ed2d5b76d8 · outbound

This paper cites The equivalence of Fourier-based and Wasserstein metrics on imaging problems.Atti Accademia Nazionale dei Lincei.

Sharp Rates of MMD Empirical Estimation with Power Kernels The equivalence of Fourier-based and Wasserstein metrics on imaging problems.Atti Accademia Nazionale dei Lincei

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T04:14:30.340383Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation b9ed64fe-83f1-4110-abb2-625d51748255 · outbound

This paper cites an unresolved cited work.

Sharp Rates of MMD Empirical Estimation with Power Kernels Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-07-08T04:14:30.382442Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 7c1197c7-3b8e-44b6-b5b3-3d551b9ba690 · outbound

This paper cites A projection algorithm on measures sets.

Sharp Rates of MMD Empirical Estimation with Power Kernels A projection algorithm on measures sets

Reference 6

Resolution: verified exact; local_arxiv, observed 2026-06-30T18:35:00.379897Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 52550ec0-ff15-4193-bf98-eb2f67c9836a · outbound

This paper cites Kernel two-sample tests for manifold data.Bernoulli, 30(4):2572– 2597.

Sharp Rates of MMD Empirical Estimation with Power Kernels Kernel two-sample tests for manifold data.Bernoulli, 30(4):2572– 2597

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T04:14:30.380744Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation f1eb6286-af4c-4702-a1b7-239e0202ecb2 · outbound

This paper cites Quantita- tive convergence of wasserstein gradient flows of kernel mean discrepancies.arXiv preprint arXiv:2603.01977.

Sharp Rates of MMD Empirical Estimation with Power Kernels Quantita- tive convergence of wasserstein gradient flows of kernel mean discrepancies.arXiv preprint arXiv:2603.01977

Reference 8

Resolution: verified exact; arxiv_id, observed 2026-06-30T18:35:00.382461Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation a200da50-0667-49da-a884-2cfaec2c4b12 · outbound

This paper cites Sinkhorn distances: Lightspeed computation of optimal transport.

Sharp Rates of MMD Empirical Estimation with Power Kernels Sinkhorn distances: Lightspeed computation of optimal transport

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T04:14:30.384332Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 57e7d955-4902-4bf5-9349-c61969af937f · outbound

This paper cites Sugli estremi dei momenti delle funzioni di ripartizione doppia.Annali della Scuola Normale Superiore di Pisa - Scienze Fisiche e Matematiche, Ser.

Sharp Rates of MMD Empirical Estimation with Power Kernels Sugli estremi dei momenti delle funzioni di ripartizione doppia.Annali della Scuola Normale Superiore di Pisa - Scienze Fisiche e Matematiche, Ser

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T04:14:30.374983Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation afe36a0c-dfaa-4968-96ce-4b0bc5fc7014 · outbound

This paper cites Constructive quantization: approxi- mation by empirical measures.Annales de l’I.H.P.

Sharp Rates of MMD Empirical Estimation with Power Kernels Constructive quantization: approxi- mation by empirical measures.Annales de l’I.H.P

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T04:14:30.395918Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 7e6a8064-4696-47d7-ba6f-e2eb4cd00ba0 · outbound

This paper cites Asymptotic behavior of gradient flows driven by nonlocal power repulsion and attraction potentials in one dimension.SIAM Journal on Mathematical Analysis, 46(6):3814–3837.

Sharp Rates of MMD Empirical Estimation with Power Kernels Asymptotic behavior of gradient flows driven by nonlocal power repulsion and attraction potentials in one dimension.SIAM Journal on Mathematical Analysis, 46(6):3814–3837

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T04:14:30.327761Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation a49122ca-468e-41ef-80ca-7e9afd16de19 · outbound

This paper cites Springer Monographs in Mathematics.

Sharp Rates of MMD Empirical Estimation with Power Kernels Springer Monographs in Mathematics

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T04:14:30.329995Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation e3cd285e-a386-4b9f-bed7-828a2202cded · outbound

This paper cites Consistency of variational continuous- domain quantization via kinetic theory.Applicable Analysis, 92(6):1283–1298.

Sharp Rates of MMD Empirical Estimation with Power Kernels Consistency of variational continuous- domain quantization via kinetic theory.Applicable Analysis, 92(6):1283–1298

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T04:14:30.401697Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 2c34e96f-c537-4a5c-8948-1267d5a4dd84 · outbound

This paper cites Consistency of Probability Measure Quantization by Means of Power Repulsion-Attraction Potentials.

Sharp Rates of MMD Empirical Estimation with Power Kernels Consistency of Probability Measure Quantization by Means of Power Repulsion-Attraction Potentials

Reference 15

Resolution: verified exact; local_arxiv, observed 2026-06-30T18:35:00.380049Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 5e608e6c-3ea9-4e04-b724-c70cb7514727 · outbound

This paper cites On the rate of convergence in Wasserstein distance of the empirical measure.Probability Theory and Related Fields, 162(3–4):707–738.

Sharp Rates of MMD Empirical Estimation with Power Kernels On the rate of convergence in Wasserstein distance of the empirical measure.Probability Theory and Related Fields, 162(3–4):707–738

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T04:14:30.393657Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 1a272f04-ec83-4ca1-928c-2a69811a83af · outbound

This paper cites Birkh¨ auser, Boston.

Sharp Rates of MMD Empirical Estimation with Power Kernels Birkh¨ auser, Boston

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T04:14:30.378732Z

Source-reported events for the cited work

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Observation f806de4b-5c9f-47df-b5e7-f9cf82ace615 · outbound

This paper cites Diameter bounded equal measure partitions of Ahlfors regular metric measure spaces.Discrete Comput.

Sharp Rates of MMD Empirical Estimation with Power Kernels Diameter bounded equal measure partitions of Ahlfors regular metric measure spaces.Discrete Comput

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T04:14:30.373266Z

Source-reported events for the cited work

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Observation 99f84d2e-5fe7-4245-967b-a298b636f01a · outbound

This paper cites Springer, Berlin.

Sharp Rates of MMD Empirical Estimation with Power Kernels Springer, Berlin

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T04:14:30.378989Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 8c0781e2-b454-47ad-9e87-cd77a21d6755 · outbound

This paper cites Borgwardt, Malte J.

Sharp Rates of MMD Empirical Estimation with Power Kernels Borgwardt, Malte J

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T04:14:30.371440Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 4ad79d8f-a8ca-4338-b9fc-bff576c3b5f5 · outbound

This paper cites Borgwardt, Malte J.

Sharp Rates of MMD Empirical Estimation with Power Kernels Borgwardt, Malte J

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T04:14:30.388600Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation cc60969e-1813-4b13-bbd2-fdd02419266b · outbound

This paper cites Posterior sampling based on gradient flows of the MMD with negative distance kernel.

Sharp Rates of MMD Empirical Estimation with Power Kernels Posterior sampling based on gradient flows of the MMD with negative distance kernel

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T04:14:30.392208Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation d8556c0d-05f0-42f5-9f31-a19154cb6b69 · outbound

This paper cites Generative sliced MMD flows with riesz kernels.

Sharp Rates of MMD Empirical Estimation with Power Kernels Generative sliced MMD flows with riesz kernels

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T04:14:30.397871Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 2829a83c-dbef-408a-8c29-d475e847cb32 · outbound

This paper cites Hutchinson.

Sharp Rates of MMD Empirical Estimation with Power Kernels Hutchinson

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T04:14:30.336503Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 502e21b7-a826-4340-94d3-032076178d77 · outbound

This paper cites Distance covariance in metric spaces.The Annals of Probability, 41(5):3284–3305.

Sharp Rates of MMD Empirical Estimation with Power Kernels Distance covariance in metric spaces.The Annals of Probability, 41(5):3284–3305

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T04:14:30.393972Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 96c63801-3372-4cdf-b721-a7394f1780dc · outbound

This paper cites Characterization of translation invariant MMD on Rd and connections with Wasserstein distances.Journal of Machine Learning Research, 25:1–39.

Sharp Rates of MMD Empirical Estimation with Power Kernels Characterization of translation invariant MMD on Rd and connections with Wasserstein distances.Journal of Machine Learning Research, 25:1–39

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T04:14:30.390497Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation fc04e550-d736-43b4-a7eb-dc3d0a02ac02 · outbound

This paper cites Computational optimal transport.Foundations and Trends in Machine Learning, 11(5–6):355–607.

Sharp Rates of MMD Empirical Estimation with Power Kernels Computational optimal transport.Foundations and Trends in Machine Learning, 11(5–6):355–607

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T04:14:30.334532Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 1d932319-4515-4595-a549-a08b5593a27e · outbound

This paper cites Electrostatic halftoning.Computer Graphics Forum, 29(8):2313–2327, December 2010.

Sharp Rates of MMD Empirical Estimation with Power Kernels Electrostatic halftoning.Computer Graphics Forum, 29(8):2313–2327, December 2010

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T04:14:30.342339Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation e5e9f973-618b-420f-a7b8-661266565923 · outbound

This paper cites an unresolved cited work.

Sharp Rates of MMD Empirical Estimation with Power Kernels Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-07-08T04:14:30.346341Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 6a67548c-303d-455b-847f-7c33fb04f81e · outbound

This paper cites an unresolved cited work.

Sharp Rates of MMD Empirical Estimation with Power Kernels Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-07-08T04:14:30.341919Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 5dce8be7-e50c-46a9-8221-1ce90dd589b0 · outbound

This paper cites Equivalence of distance-based and RKHS-based statistics in hypothesis testing.The Annals of Statistics, 41(5):2263–2291, October 2013.

Sharp Rates of MMD Empirical Estimation with Power Kernels Equivalence of distance-based and RKHS-based statistics in hypothesis testing.The Annals of Statistics, 41(5):2263–2291, October 2013

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T04:14:30.399855Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 38d925b0-38cc-4c81-827b-4d19d5e89695 · outbound

This paper cites Vogelstein.

Sharp Rates of MMD Empirical Estimation with Power Kernels Vogelstein

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T04:14:30.390143Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 4e7c6d14-087b-467b-aceb-1daaf42a0763 · outbound

This paper cites Sz´ ekely.

Sharp Rates of MMD Empirical Estimation with Power Kernels Sz´ ekely

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T04:14:30.369235Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation bd0c62f0-7775-49dd-9c11-7f3408548842 · outbound

This paper cites Sz´ ekely.

Sharp Rates of MMD Empirical Estimation with Power Kernels Sz´ ekely

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T04:14:30.360409Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 5d7bfdf5-15c2-4cf2-a89b-50ad1c4f4688 · outbound

This paper cites Sz´ ekely and Maria L.

Sharp Rates of MMD Empirical Estimation with Power Kernels Sz´ ekely and Maria L

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T04:14:30.358660Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 688c9a33-2687-4d0c-8730-39e2d17caf3f · outbound

This paper cites Sz´ ekely and Maria L.

Sharp Rates of MMD Empirical Estimation with Power Kernels Sz´ ekely and Maria L

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T04:14:30.362308Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 3b76cff1-e855-4e54-94ba-c16ae3c4ab09 · outbound

This paper cites Sz´ ekely and Maria L.

Sharp Rates of MMD Empirical Estimation with Power Kernels Sz´ ekely and Maria L

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T04:14:30.356395Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 55fd3422-d239-4784-8b6b-4daa88ab5c1b · outbound

This paper cites Sz´ ekely, Maria L.

Sharp Rates of MMD Empirical Estimation with Power Kernels Sz´ ekely, Maria L

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T04:14:30.354483Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation dfcca665-0833-431e-b267-d4b8c9ecbcd3 · outbound

This paper cites Dithering by differences of convex functions.SIAM Journal on Imaging Sciences, 4(1):79–108.

Sharp Rates of MMD Empirical Estimation with Power Kernels Dithering by differences of convex functions.SIAM Journal on Imaging Sciences, 4(1):79–108

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T04:14:30.360654Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation aa203774-441b-4d85-939b-ca71ade36607 · outbound

This paper cites Cambridge University Press, Cambridge.

Sharp Rates of MMD Empirical Estimation with Power Kernels Cambridge University Press, Cambridge

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T04:14:30.365584Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 6952b9fb-7d5f-4994-b314-60be945c56f7 · outbound

This paper cites Kernel two-sample tests in high dimensions: interplay between moment discrepancy and dimension-and-sample orders.Biometrika, 110(2):411–430.

Sharp Rates of MMD Empirical Estimation with Power Kernels Kernel two-sample tests in high dimensions: interplay between moment discrepancy and dimension-and-sample orders.Biometrika, 110(2):411–430

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T04:14:30.369727Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation c68511c8-3e0d-4cfa-b7a4-7e0040107acd · outbound

This paper cites an unresolved cited work.

Sharp Rates of MMD Empirical Estimation with Power Kernels Unresolved cited work

Reference 42

Resolution: unresolved; raw_fallback, observed 2026-07-08T04:14:30.377175Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Pith citing papers

Observation 122b88f1-24f2-4a9a-9548-a0bf106eb013 · inbound

The nonlocal attraction-repulsion transport equation with power kernels cites this paper.

The nonlocal attraction-repulsion transport equation with power kernels Sharp Rates of MMD Empirical Estimation with Power Kernels

Reference 14

Resolution: unresolved; no resolver link, observed 2026-07-11T19:16:59.009889Z

Source-reported events for the cited work

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Observation 68047a5c-1a5c-4253-8da4-be4471576d98 · inbound

The nonlocal attraction-repulsion transport equation with power kernels cites this paper.

The nonlocal attraction-repulsion transport equation with power kernels Sharp Rates of MMD Empirical Estimation with Power Kernels

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-02T08:46:22.012497Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 030460d8-58f8-487d-be2a-e673ee310019 · inbound

Wasserstein gradient flows for Coulomb discrepancies cites this paper.

Wasserstein gradient flows for Coulomb discrepancies Sharp Rates of MMD Empirical Estimation with Power Kernels

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-02T06:36:07.434801Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1a27e4f9-59eb-4f56-b05f-5c15d048fb77 · inbound

Wasserstein gradient flows of Maximum Mean Discrepancy with energy kernels cites this paper.

Wasserstein gradient flows of Maximum Mean Discrepancy with energy kernels Sharp Rates of MMD Empirical Estimation with Power Kernels

Reference 10

Resolution: metadata mismatch; local_arxiv, observed 2026-08-15T15:22:26.933811Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.