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Paper Citation Record · LEDGER

Sharp Rates of MMD Empirical Estimation with Power Kernels

As of 17 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 2026-08-17T06:30:58.91139+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

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External citation measurements

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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

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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

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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

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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

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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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

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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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

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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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

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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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

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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

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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

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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

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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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

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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

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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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

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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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

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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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

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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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

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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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

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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

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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

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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

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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

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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

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

This paper cites Hutchinson.

Sharp Rates of MMD Empirical Estimation with Power Kernels Hutchinson

Reference 24

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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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

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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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

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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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

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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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

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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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

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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

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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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

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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

This paper cites Vogelstein.

Sharp Rates of MMD Empirical Estimation with Power Kernels Vogelstein

Reference 32

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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

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-06-30T18:31:00.675670Z digest=sha256:501369f741d5a5ced5d3096aec6c85f08163bc24bd1708d96b8aadb9a0b6c9c4

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-06-30T18:31:00.675670Z digest=sha256:eb8cce98697f718f51d34addfde6c68fc5f7563f6a1b14ebf974d9c9db94de10

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-06-30T18:31:00.675670Z digest=sha256:422a9991d6848f0640d4ded0866555accf8ebd2042ce3ecddd6e3f1c32d34b92

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-06-30T18:31:00.675670Z digest=sha256:6fd0d82963cbfd0d2e540934a775bb075d6de20213aa1b1c455072c22f2ee483

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-06-30T18:31:00.675670Z digest=sha256:24103ce092f7bb2b6d4eaf7e130a5cc97b5423cc781d9bf9c03619cc7327ebfb

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-06-30T18:31:00.675670Z digest=sha256:69eda76f3128e91e1a69880da304e299e9df5043fd959c816fac035ee99918dd

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-06-30T18:31:00.675670Z digest=sha256:183a25a88aeab338d41705a3e2b09cc930bfe12893a92bd5cb4990b777c281b9

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-06-30T18:31:00.675670Z digest=sha256:425e9717ac54c872812e257f9b6e738aa1b9d3e103163e2565908c92e58d553f

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-06-30T18:31:00.675670Z digest=sha256:ce10ff61bb8afb8ae21124996afa9c21ec3eaf33fec70f72fd6f0cd63964bed0

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-06-30T18:31:00.675670Z digest=sha256:ad419f648942dfe2d5d0de36103b7e200b399277a1fb5a9676b3ebf2b2230ff5

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

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-11T19:16:59.009889Z digest=sha256:dacaf481d07882478c3c134c1a7f3028b899a14652df5478fb1f326d1ba9ec57

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.

source=pdf_text observed=2026-08-02T08:46:22.012497Z digest=sha256:94bfd8cb43e5a07f473d2e245b346cbea8200b716081713d271012e2cf4df021

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.

source=arxiv_source observed=2026-08-02T06:36:07.434801Z digest=sha256:2fe6f587133804255342b7d01d0de3ed56ec48c1f4e3b516e4a5093a89859521

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-15T15:22:26.314274Z digest=sha256:94bfe79dbd1ec0b55f83974006df43318b93fbd7b9da0d130635862b45dc1f9b