Paper Citation Record · LEDGER

Minimax Estimation of Kernel Stein Discrepancy: Trace versus Hilbert-Schmidt Scales

As of 9 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 1 inbound Pith citation observation for arXiv:2607.03367.

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

pith.paper-citation-record.v1
2607.03367 v1

Coverage vector

measured 29 of 29 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-12T02:59:05.729991Z

measured 30 of 30 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-31T20:25:41.514045Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

29 of 29 outbound references displayed

verified exact0
verified fuzzy0
unresolved29
parse uncertain0
malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 07843911-645d-428a-b418-25e1e1c37ff8 · outbound

This paper cites A bound for the error in the normal approximation to the distribution of a sum of dependent random variables.

Minimax Estimation of Kernel Stein Discrepancy: Trace versus Hilbert-Schmidt Scales A bound for the error in the normal approximation to the distribution of a sum of dependent random variables

Reference 1

Resolution: unresolved; no resolver link, observed 2026-07-12T02:59:05.729991Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3351c105-feb7-4c18-a4c1-4014f9ada0e0 · outbound

This paper cites Institute of Mathematical Statistics, 1986.

Minimax Estimation of Kernel Stein Discrepancy: Trace versus Hilbert-Schmidt Scales Institute of Mathematical Statistics, 1986

Reference 2

Resolution: unresolved; no resolver link, observed 2026-07-12T02:59:05.729991Z

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Observation 4dba9445-5dde-4b8f-9828-5306d270b352 · outbound

This paper cites an unresolved cited work.

Minimax Estimation of Kernel Stein Discrepancy: Trace versus Hilbert-Schmidt Scales Unresolved cited work

Reference 3

Resolution: unresolved; no resolver link, observed 2026-07-12T02:59:05.729991Z

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Observation 8af6f94b-2491-4238-bc89-9cf2d94b7b5e · outbound

This paper cites Measuring sample quality with Stein’s method.

Minimax Estimation of Kernel Stein Discrepancy: Trace versus Hilbert-Schmidt Scales Measuring sample quality with Stein’s method

Reference 4

Resolution: unresolved; no resolver link, observed 2026-07-12T02:59:05.729991Z

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Observation 1c5a680f-3883-40c5-9c49-67a442a25ce4 · outbound

This paper cites Lee, and Michael I.

Minimax Estimation of Kernel Stein Discrepancy: Trace versus Hilbert-Schmidt Scales Lee, and Michael I

Reference 5

Resolution: unresolved; no resolver link, observed 2026-07-12T02:59:05.729991Z

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Observation 8930f6c0-a479-480e-af90-2814d1543b49 · outbound

This paper cites A kernel test of goodness of fit.

Minimax Estimation of Kernel Stein Discrepancy: Trace versus Hilbert-Schmidt Scales A kernel test of goodness of fit

Reference 6

Resolution: unresolved; no resolver link, observed 2026-07-12T02:59:05.729991Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 24f73673-c6ec-4a58-83a3-95107bc51be1 · outbound

This paper cites Measuring sample quality with kernels.

Minimax Estimation of Kernel Stein Discrepancy: Trace versus Hilbert-Schmidt Scales Measuring sample quality with kernels

Reference 7

Resolution: unresolved; no resolver link, observed 2026-07-12T02:59:05.729991Z

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Unavailable: canonical work link unavailable.

Observation 3a351634-1889-4013-a8d3-421ae66e5d9b · outbound

This paper cites Probabilistic inference and learning with stein’s method.arXiv preprint arXiv:2603.07467, 2026.

Minimax Estimation of Kernel Stein Discrepancy: Trace versus Hilbert-Schmidt Scales Probabilistic inference and learning with stein’s method.arXiv preprint arXiv:2603.07467, 2026

Reference 8

Resolution: unresolved; no resolver link, observed 2026-07-12T02:59:05.729991Z

Source-reported events for the cited work

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Observation 6408a469-ea7e-4912-b92d-78ee2acbf23d · outbound

This paper cites Stein variational gradient descent: A general purpose Bayesian inference algorithm.

Minimax Estimation of Kernel Stein Discrepancy: Trace versus Hilbert-Schmidt Scales Stein variational gradient descent: A general purpose Bayesian inference algorithm

Reference 9

Resolution: unresolved; no resolver link, observed 2026-07-12T02:59:05.729991Z

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Observation 1dffc04b-6e54-41fd-8b1b-4cd4e5ff2213 · outbound

This paper cites Improved finite-particle convergence rates for stein variational gradient descent.

Minimax Estimation of Kernel Stein Discrepancy: Trace versus Hilbert-Schmidt Scales Improved finite-particle convergence rates for stein variational gradient descent

Reference 10

Resolution: unresolved; no resolver link, observed 2026-07-12T02:59:05.729991Z

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Observation d1415606-af19-4461-820d-8987c0cc3100 · outbound

This paper cites Huggins and Lester Mackey.

Minimax Estimation of Kernel Stein Discrepancy: Trace versus Hilbert-Schmidt Scales Huggins and Lester Mackey

Reference 11

Resolution: unresolved; no resolver link, observed 2026-07-12T02:59:05.729991Z

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Observation 89208ac2-f012-434d-870d-ed51c181614f · outbound

This paper cites Nystr\"om Kernel Stein Discrepancy.

Minimax Estimation of Kernel Stein Discrepancy: Trace versus Hilbert-Schmidt Scales Nystr\"om Kernel Stein Discrepancy

Reference 12

Resolution: unresolved; no resolver link, observed 2026-07-12T02:59:05.729991Z

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Observation 1d17dae5-11c9-4ec2-94f4-ba4866bed5ef · outbound

This paper cites A linear-time kernel goodness-of-fit test.

Minimax Estimation of Kernel Stein Discrepancy: Trace versus Hilbert-Schmidt Scales A linear-time kernel goodness-of-fit test

Reference 13

Resolution: unresolved; no resolver link, observed 2026-07-12T02:59:05.729991Z

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Observation aaba0aac-cef7-4142-ad9b-b8c30c1a6c72 · outbound

This paper cites A kernel Stein test for comparing latent variable models.Journal of the Royal Statistical Society Series B: Statistical Methodology, 85(3):986–1011, 2023.

Minimax Estimation of Kernel Stein Discrepancy: Trace versus Hilbert-Schmidt Scales A kernel Stein test for comparing latent variable models.Journal of the Royal Statistical Society Series B: Statistical Methodology, 85(3):986–1011, 2023

Reference 14

Resolution: unresolved; no resolver link, observed 2026-07-12T02:59:05.729991Z

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Observation 19d39204-3669-4977-9e2b-66ae331f8cb9 · outbound

This paper cites an unresolved cited work.

Minimax Estimation of Kernel Stein Discrepancy: Trace versus Hilbert-Schmidt Scales Unresolved cited work

Reference 15

Resolution: unresolved; no resolver link, observed 2026-07-12T02:59:05.729991Z

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Observation 046de21e-8fba-4013-81c4-563e13c80527 · outbound

This paper cites Duncan, Mark Girolami, and Lester Mackey.

Minimax Estimation of Kernel Stein Discrepancy: Trace versus Hilbert-Schmidt Scales Duncan, Mark Girolami, and Lester Mackey

Reference 16

Resolution: unresolved; no resolver link, observed 2026-07-12T02:59:05.729991Z

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Observation fe7491a6-82ae-44ae-97ba-c15d1e1036a0 · outbound

This paper cites Minimax optimal goodness-of-fit testing with kernel stein discrepancy.Bernoulli, 32(1):299–324, 2026.

Minimax Estimation of Kernel Stein Discrepancy: Trace versus Hilbert-Schmidt Scales Minimax optimal goodness-of-fit testing with kernel stein discrepancy.Bernoulli, 32(1):299–324, 2026

Reference 17

Resolution: unresolved; no resolver link, observed 2026-07-12T02:59:05.729991Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b3a0b587-da24-4a94-b83d-214c5b8648a7 · outbound

This paper cites Nystr\"om Kernel Stein Discrepancy Tests.

Minimax Estimation of Kernel Stein Discrepancy: Trace versus Hilbert-Schmidt Scales Nystr\"om Kernel Stein Discrepancy Tests

Reference 18

Resolution: unresolved; no resolver link, observed 2026-07-12T02:59:05.729991Z

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Observation d0fc7c2f-8f2f-43f7-8488-bea05ac0f704 · outbound

This paper cites Borgwardt, Malte J.

Minimax Estimation of Kernel Stein Discrepancy: Trace versus Hilbert-Schmidt Scales Borgwardt, Malte J

Reference 19

Resolution: unresolved; no resolver link, observed 2026-07-12T02:59:05.729991Z

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Observation 08351f47-95d6-482b-8787-eca3fc9dc7bf · outbound

This paper cites Kernel mean embedding of distributions: A review and beyond.Foundations and Trends in Machine Learning, 10(1–2):1–141, 2017.

Minimax Estimation of Kernel Stein Discrepancy: Trace versus Hilbert-Schmidt Scales Kernel mean embedding of distributions: A review and beyond.Foundations and Trends in Machine Learning, 10(1–2):1–141, 2017

Reference 20

Resolution: unresolved; no resolver link, observed 2026-07-12T02:59:05.729991Z

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Observation ef64c705-6fc2-43ef-bfd7-5876985e9fb3 · outbound

This paper cites Minimax estimation of kernel mean embed- dings.Journal of Machine Learning Research, 18(86):1–47, 2017.

Minimax Estimation of Kernel Stein Discrepancy: Trace versus Hilbert-Schmidt Scales Minimax estimation of kernel mean embed- dings.Journal of Machine Learning Research, 18(86):1–47, 2017

Reference 21

Resolution: unresolved; no resolver link, observed 2026-07-12T02:59:05.729991Z

Source-reported events for the cited work

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Observation a9e0d3a2-a364-440b-a9bb-a954e223b4da · outbound

This paper cites Tolstikhin, Bharath K.

Minimax Estimation of Kernel Stein Discrepancy: Trace versus Hilbert-Schmidt Scales Tolstikhin, Bharath K

Reference 22

Resolution: unresolved; no resolver link, observed 2026-07-12T02:59:05.729991Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 25523315-dd54-4e11-8836-65e05056d1a2 · outbound

This paper cites The minimax lower bound of kernel stein discrepancy estimation.

Minimax Estimation of Kernel Stein Discrepancy: Trace versus Hilbert-Schmidt Scales The minimax lower bound of kernel stein discrepancy estimation

Reference 23

Resolution: unresolved; no resolver link, observed 2026-07-12T02:59:05.729991Z

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Observation b9a4f010-e78d-4eff-a5a0-f9861584b816 · outbound

This paper cites Estimation of integral functionals of a density.The Annals of Statistics, 23(1): 11–29, 1995.

Minimax Estimation of Kernel Stein Discrepancy: Trace versus Hilbert-Schmidt Scales Estimation of integral functionals of a density.The Annals of Statistics, 23(1): 11–29, 1995

Reference 24

Resolution: unresolved; no resolver link, observed 2026-07-12T02:59:05.729991Z

Source-reported events for the cited work

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Observation 510903b5-301c-4ed8-ad42-457ecdf66d54 · outbound

This paper cites A simple adaptive estimator of the integrated square of a density.Bernoulli, 14 (1):47–61, 2008.

Minimax Estimation of Kernel Stein Discrepancy: Trace versus Hilbert-Schmidt Scales A simple adaptive estimator of the integrated square of a density.Bernoulli, 14 (1):47–61, 2008

Reference 25

Resolution: unresolved; no resolver link, observed 2026-07-12T02:59:05.729991Z

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Observation c85eee95-6bfe-44af-88dd-2739256da16f · outbound

This paper cites A class of statistics with asymptotically normal distribution.The Annals of Mathematical Statistics, 19(3):293–325, 1948.

Minimax Estimation of Kernel Stein Discrepancy: Trace versus Hilbert-Schmidt Scales A class of statistics with asymptotically normal distribution.The Annals of Mathematical Statistics, 19(3):293–325, 1948

Reference 26

Resolution: unresolved; no resolver link, observed 2026-07-12T02:59:05.729991Z

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Observation 3f5c04c9-bfa6-4dd0-9faf-fb6b3a82fddf · outbound

This paper cites Tsybakov.Introduction to Nonparametric Estimation.

Minimax Estimation of Kernel Stein Discrepancy: Trace versus Hilbert-Schmidt Scales Tsybakov.Introduction to Nonparametric Estimation

Reference 27

Resolution: unresolved; no resolver link, observed 2026-07-12T02:59:05.729991Z

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Observation 02ad270f-0199-4c33-aeb8-4823b91cb693 · outbound

This paper cites an unresolved cited work.

Minimax Estimation of Kernel Stein Discrepancy: Trace versus Hilbert-Schmidt Scales Unresolved cited work

Reference 28

Resolution: unresolved; no resolver link, observed 2026-07-12T02:59:05.729991Z

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Observation b6fdb094-99cd-4cc4-a3a7-f10dfb0edfd7 · outbound

This paper cites tr(C2 ⋆)≍ α d, the optimal scale is ≍α d1/4/√n, and the gap r1/4 eff ≍α d1/4 is polynomial ind.

Minimax Estimation of Kernel Stein Discrepancy: Trace versus Hilbert-Schmidt Scales tr(C2 ⋆)≍ α d, the optimal scale is ≍α d1/4/√n, and the gap r1/4 eff ≍α d1/4 is polynomial ind

Reference 29

Resolution: unresolved; no resolver link, observed 2026-07-12T02:59:05.729991Z

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Pith citing papers

Observation 29365704-d8ee-447b-9f7e-e1f7fd001e50 · inbound

Minimax Lower Bounds of Kernel Discrepancy Estimation: MMD, HSIC, KSD cites this paper.

Minimax Lower Bounds of Kernel Discrepancy Estimation: MMD, HSIC, KSD Minimax Estimation of Kernel Stein Discrepancy: Trace versus Hilbert-Schmidt Scales

Reference 46

Resolution: unresolved; no resolver link, observed 2026-07-31T20:25:41.514045Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.