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Paper Citation Record · LEDGER

Minimax Rates for the Estimation of Eigenpairs of Weighted Laplace-Beltrami Operators on Manifolds

As of 8 August 2026, this Paper Citation Record lists 67 of 67 outbound references and 5 inbound Pith citation observations for arXiv:2506.00171.

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

pith.paper-citation-record.v1
2506.00171 v1

Coverage vector

measured 67 of 67 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T12:21:54.281582Z

measured 72 of 72 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 5 of 5 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T19:37:55.246487Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-08T19:45:30.320012Z

Reference resolution

67 of 67 outbound references displayed

  • verified exact2
  • verified fuzzy32
  • unresolved33
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a4a409be-69f1-4130-98e1-844813055cbe · outbound

This paper cites an unresolved cited work.

Minimax Rates for the Estimation of Eigenpairs of Weighted Laplace-Beltrami Operators on Manifolds Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:22:07.074604Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 202938c6-fc31-48e8-bd47-81f3fecd9428 · outbound

This paper cites Armstrong and P.

Minimax Rates for the Estimation of Eigenpairs of Weighted Laplace-Beltrami Operators on Manifolds Armstrong and P

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:22:06.932572Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:21:46.266007Z digest=sha256:42772e8878db14f7db8e35361ea70272013b22e9b2b97a795672951b4f362a6b

Observation d86d02bb-0efd-4b53-b7a3-029366114115 · outbound

This paper cites Armstrong and J.

Minimax Rates for the Estimation of Eigenpairs of Weighted Laplace-Beltrami Operators on Manifolds Armstrong and J

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:22:06.802884Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:21:46.357987Z digest=sha256:c81a86ef63adbee4ea0e9f25d863455be907208e0eaf5e9c8b3540a614abe8f4

Observation 712bc595-5375-4bac-958f-bf9832cad1ee · outbound

This paper cites Armstrong and R.

Minimax Rates for the Estimation of Eigenpairs of Weighted Laplace-Beltrami Operators on Manifolds Armstrong and R

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:22:06.606454Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:21:46.489179Z digest=sha256:7cfa4ea7d820a5db418815cfba63948a88218b11cbdd27a6c6253c5749c7455f

Observation fd993594-98dd-496c-8720-d48fcda9cf05 · outbound

This paper cites Armstrong and R.

Minimax Rates for the Estimation of Eigenpairs of Weighted Laplace-Beltrami Operators on Manifolds Armstrong and R

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:22:06.437329Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:21:46.593304Z digest=sha256:c75161a6b1dd17474c067ac0596d106bae3e406bb66909ddd2033a502911e0ae

Observation cb5323e6-3c15-4203-af7c-186dfd2fe97d · outbound

This paper cites Armstrong and R.

Minimax Rates for the Estimation of Eigenpairs of Weighted Laplace-Beltrami Operators on Manifolds Armstrong and R

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:22:06.263364Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation badec54c-71b6-409b-9747-60520436339c · outbound

This paper cites Belkin and P.

Minimax Rates for the Estimation of Eigenpairs of Weighted Laplace-Beltrami Operators on Manifolds Belkin and P

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:22:06.121570Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:21:46.748353Z digest=sha256:9dbe88d17e753d0bd599e3c53b3a0765df7d3d9081b288a40237052932b64c41

Observation b26f478b-0c09-4936-8ca1-bd06adb22dba · outbound

This paper cites an unresolved cited work.

Minimax Rates for the Estimation of Eigenpairs of Weighted Laplace-Beltrami Operators on Manifolds Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:22:05.949294Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:21:46.837485Z digest=sha256:b98b48b074426348c526e37eb9d77ef366453bc445ad80fc93254dd4aa577230

Observation d1d776d5-409b-4daf-af14-c237ebe1eb6d · outbound

This paper cites Birg´ e and P.

Minimax Rates for the Estimation of Eigenpairs of Weighted Laplace-Beltrami Operators on Manifolds Birg´ e and P

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:22:05.755064Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:21:46.944820Z digest=sha256:1b5e00c65788724ea239c21d458906925d322a838c3cd27522a3e80985324d79

Observation 9bf12efe-99f1-4f63-b520-b4ba17e89ed4 · outbound

This paper cites How well behaved is finite dimensional Diffusion Maps?.

Minimax Rates for the Estimation of Eigenpairs of Weighted Laplace-Beltrami Operators on Manifolds How well behaved is finite dimensional Diffusion Maps?

Reference 10

Resolution
verified exact
local_arxiv, observed 2026-08-07T12:21:55.217778Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:21:47.028697Z digest=sha256:ca7b3bc6b7ea5fa4c77f3c26338169b6f6711e29cc2a25bfafc9341a96c842ea

Observation 6bbc73b1-0c7d-4ca9-aa90-50078e463657 · outbound

This paper cites Bretagnolle and C.

Minimax Rates for the Estimation of Eigenpairs of Weighted Laplace-Beltrami Operators on Manifolds Bretagnolle and C

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:22:05.537332Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:21:47.115652Z digest=sha256:0f5f93247cc31a52b8f8461e55bf7aee97203c9f56780bf598f100b5f5c3f9d8

Observation ebf6915f-78de-40ee-9c70-99e77f3fd83e · outbound

This paper cites Br´ ezis.

Minimax Rates for the Estimation of Eigenpairs of Weighted Laplace-Beltrami Operators on Manifolds Br´ ezis

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:22:05.255771Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 001154ba-8a13-4bde-a452-08e5addcfda8 · outbound

This paper cites Convergence rates for Poisson learning to a Poisson equation with measure data.

Minimax Rates for the Estimation of Eigenpairs of Weighted Laplace-Beltrami Operators on Manifolds Convergence rates for Poisson learning to a Poisson equation with measure data

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-07T12:21:47.282695Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T12:21:47.282695Z digest=sha256:50eee6b5a72ff93fa67879423b57a9cf4a787300ebd06a8891c9bf8abf54e6c1

Observation db091506-2f5d-4234-a3f1-07a139c7a8ca · outbound

This paper cites Burago, S.

Minimax Rates for the Estimation of Eigenpairs of Weighted Laplace-Beltrami Operators on Manifolds Burago, S

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:22:05.061029Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:21:47.375660Z digest=sha256:bcd1dbe15bc602e644042588422317d1aec2ab1deb3d7f572093f3c04730341c

Observation 3232b01b-80b6-4943-bb59-490725cd5b14 · outbound

This paper cites Calder and N.

Minimax Rates for the Estimation of Eigenpairs of Weighted Laplace-Beltrami Operators on Manifolds Calder and N

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:22:04.847173Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:21:47.495568Z digest=sha256:e03d26133bcfa0c1abb119661555cd295800af2fb30dd82c2faf9f6b4439035d

Observation 2f3d869d-b4ff-462f-822b-f68605a86549 · outbound

This paper cites Calder, N.

Minimax Rates for the Estimation of Eigenpairs of Weighted Laplace-Beltrami Operators on Manifolds Calder, N

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:22:04.630321Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:21:47.632936Z digest=sha256:d881c31f89e875c74adeeba0e216c67776984da57aedb418e58a724f62eb12b7

Observation f8fd260b-541b-4485-b0e7-c1d5b1fc6bde · outbound

This paper cites an unresolved cited work.

Minimax Rates for the Estimation of Eigenpairs of Weighted Laplace-Beltrami Operators on Manifolds Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:22:04.435827Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:21:47.782142Z digest=sha256:befdd331a92463edb76879ac70eaaf5ad9615a9195150ee7fb17c748cf5d4367

Observation 1ed53ce9-167b-474e-bc2d-e0cd100f0297 · outbound

This paper cites an unresolved cited work.

Minimax Rates for the Estimation of Eigenpairs of Weighted Laplace-Beltrami Operators on Manifolds Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:22:04.227079Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:21:47.901071Z digest=sha256:267e20c87e8d25e3847aecb7d23db3b09cf52c3923f58b95771e8adc23b13f0e

Observation dc1f9887-de77-4e74-8113-076a8a983d5c · outbound

This paper cites Cheng and N.

Minimax Rates for the Estimation of Eigenpairs of Weighted Laplace-Beltrami Operators on Manifolds Cheng and N

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:22:04.004533Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:21:47.992214Z digest=sha256:67dc7ede470c51f640d5526b5b0a80546abff2d8a15d3f485f6d880df98e1c0b

Observation 3fafce73-8cfa-4f29-b89b-393b5c932beb · outbound

This paper cites an unresolved cited work.

Minimax Rates for the Estimation of Eigenpairs of Weighted Laplace-Beltrami Operators on Manifolds Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:22:03.828440Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:21:48.141046Z digest=sha256:c459f01d2d62b7f2518a3a6306fcbab8451f2ec67bcf56df308ff0eaf2c80b12

Observation 0c5318a8-da16-45b9-8d58-057797ac388a · outbound

This paper cites an unresolved cited work.

Minimax Rates for the Estimation of Eigenpairs of Weighted Laplace-Beltrami Operators on Manifolds Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:22:03.600662Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:21:48.215273Z digest=sha256:cf7c99215ccaaf259d47ac85320907497b79a13f356546db2ec1c0cf8f8b3c88

Observation 9f94d383-bfc3-4b26-9fcb-1ab14713ccfd · outbound

This paper cites an unresolved cited work.

Minimax Rates for the Estimation of Eigenpairs of Weighted Laplace-Beltrami Operators on Manifolds Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:22:03.370094Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 54397071-6c9b-4715-9402-7f15515188bd · outbound

This paper cites an unresolved cited work.

Minimax Rates for the Estimation of Eigenpairs of Weighted Laplace-Beltrami Operators on Manifolds Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:22:03.164162Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 1a025fe0-808c-413f-9d26-4ef46e6cd9ce · outbound

This paper cites an unresolved cited work.

Minimax Rates for the Estimation of Eigenpairs of Weighted Laplace-Beltrami Operators on Manifolds Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:22:02.962778Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 048938d6-66b4-4d7a-affb-9d141063164a · outbound

This paper cites an unresolved cited work.

Minimax Rates for the Estimation of Eigenpairs of Weighted Laplace-Beltrami Operators on Manifolds Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:22:02.806761Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:21:48.554665Z digest=sha256:95b241c1e871db16a42df478f8e9791b525e730f7bff5d8c1e9375c95be6aa3a

Observation 1f9cefb3-5a7a-426e-b56c-7dd4b68af022 · outbound

This paper cites an unresolved cited work.

Minimax Rates for the Estimation of Eigenpairs of Weighted Laplace-Beltrami Operators on Manifolds Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:22:02.648406Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:21:48.643509Z digest=sha256:da94590c1c9a75ceb5e87686815ecc6c2ff7b457bf9328f56e07a9be62cdf920

Observation da546a01-cf85-45c0-9085-e132606be575 · outbound

This paper cites Fern´ andez-Real and X.

Minimax Rates for the Estimation of Eigenpairs of Weighted Laplace-Beltrami Operators on Manifolds Fern´ andez-Real and X

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:22:02.444555Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:21:48.807206Z digest=sha256:ded7d38404daf77b7649663221b2a62ce01e428083293450252187b0576a9d7c

Observation 795f06b5-379d-4b4c-9180-94271d6e3c4b · outbound

This paper cites Garc´ ıa Trillos, M.

Minimax Rates for the Estimation of Eigenpairs of Weighted Laplace-Beltrami Operators on Manifolds Garc´ ıa Trillos, M

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:22:02.254819Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:21:48.974458Z digest=sha256:45481bbdac571ff2c387f52cd4be46d440ba3eebecd8557c6989e710577c7466

Observation c498ead8-2bab-4d8b-ac53-020727392c15 · outbound

This paper cites Garc´ ıa Trillos, P.

Minimax Rates for the Estimation of Eigenpairs of Weighted Laplace-Beltrami Operators on Manifolds Garc´ ıa Trillos, P

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:22:02.077650Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:21:49.159860Z digest=sha256:443c053e398edc6eb79eea8b4e9a426458cec5970280f2a3b02b4282ded0c2e0

Observation cd6f6ae9-2c2e-40a9-ae0d-245d3ad70212 · outbound

This paper cites Garc´ ıa Trillos, Z.

Minimax Rates for the Estimation of Eigenpairs of Weighted Laplace-Beltrami Operators on Manifolds Garc´ ıa Trillos, Z

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:22:01.854770Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:21:49.324923Z digest=sha256:4eb4d7a374917800b959370d26daceca49844c44b7a948c39fbf8694bbb3c659

Observation f9917ea3-8cdb-4417-b4f9-0a658d8843fb · outbound

This paper cites Garc´ ıa Trillos, A.

Minimax Rates for the Estimation of Eigenpairs of Weighted Laplace-Beltrami Operators on Manifolds Garc´ ıa Trillos, A

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:22:01.641317Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:21:49.454957Z digest=sha256:0f5949666e1011e9106e306b6fe23f9350698c2366914e5c1ff30874418514e1

Observation 6d64ed2e-e27d-46cf-a3c4-07e052f99517 · outbound

This paper cites Garc´ ıa Trillos and D.

Minimax Rates for the Estimation of Eigenpairs of Weighted Laplace-Beltrami Operators on Manifolds Garc´ ıa Trillos and D

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:22:01.473466Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:21:49.683670Z digest=sha256:bd81325b5398e83ee27067b2e2efe196157839a9a82a69dea1196b9f024a2433

Observation 0516d53c-3c47-4cb8-a763-1e42b393a207 · outbound

This paper cites Continuum Limits of Ollivier's Ricci Curvature on data clouds: pointwise consistency and global lower bounds.

Minimax Rates for the Estimation of Eigenpairs of Weighted Laplace-Beltrami Operators on Manifolds Continuum Limits of Ollivier's Ricci Curvature on data clouds: pointwise consistency and global lower bounds

Reference 33

Resolution
unresolved
no resolver link, observed 2026-08-07T12:21:49.792409Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T12:21:49.792409Z digest=sha256:5c8d2004df49428691288ca113c4272c4495b96308ea0409852eb0ffcced977a

Observation bca035f3-a4d8-4e06-be89-689989b5fbff · outbound

This paper cites Garc´ ıa Trillos, R.

Minimax Rates for the Estimation of Eigenpairs of Weighted Laplace-Beltrami Operators on Manifolds Garc´ ıa Trillos, R

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:22:01.288724Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:21:49.992686Z digest=sha256:042653ddde5b3710d1ad3b689cb29c76b3e966334bbd47b4241cf5fcedd4b434

Observation 084a9f0c-9fbb-4c94-806e-8014923959e9 · outbound

This paper cites an unresolved cited work.

Minimax Rates for the Estimation of Eigenpairs of Weighted Laplace-Beltrami Operators on Manifolds Unresolved cited work

Reference 35

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:22:01.127102Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:21:50.211810Z digest=sha256:1e044e2127f4dccae59cb208cec00b222eeaf6df2ce31feb3fc7f48ac3468cd9

Observation 2fc7fd81-ead3-48c9-95ce-3b13bfffa58b · outbound

This paper cites Gin´ e, R.

Minimax Rates for the Estimation of Eigenpairs of Weighted Laplace-Beltrami Operators on Manifolds Gin´ e, R

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:22:00.939674Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:21:50.393357Z digest=sha256:0ac6d442243fc753acab8a0eac0c9b1705dc12d0665029c5b2b3a9d67426d631

Observation 2eae94de-6013-4fbb-aa4b-d841f4c832c6 · outbound

This paper cites Green, S.

Minimax Rates for the Estimation of Eigenpairs of Weighted Laplace-Beltrami Operators on Manifolds Green, S

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:22:00.763764Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:21:50.563293Z digest=sha256:2342b209e66cadc721ea93e559b8434219e8e1300d46e3ae5b3be88eb2f386e8

Observation 96557982-ec3e-4342-bd8a-993aeb621e05 · outbound

This paper cites an unresolved cited work.

Minimax Rates for the Estimation of Eigenpairs of Weighted Laplace-Beltrami Operators on Manifolds Unresolved cited work

Reference 38

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:22:00.536584Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:21:50.694789Z digest=sha256:07bf83430841b81df70e6dd48f6c72ad73ead98031e8602fa16a3bbf5518b013

Observation c5bf9ff3-857c-4775-9969-d35d391404d8 · outbound

This paper cites Hein, J.-Y.

Minimax Rates for the Estimation of Eigenpairs of Weighted Laplace-Beltrami Operators on Manifolds Hein, J.-Y

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:22:00.330610Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:21:50.840375Z digest=sha256:9b1cc5446d6488bd154c33e048aad26b4a2028f11a3fd31ba311a7a9853d5ef8

Observation 3c91be09-86f0-4379-bb58-388e7ffe7099 · outbound

This paper cites Hoffmann, B.

Minimax Rates for the Estimation of Eigenpairs of Weighted Laplace-Beltrami Operators on Manifolds Hoffmann, B

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:22:00.146032Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:21:50.976078Z digest=sha256:4c761df1b31d74ae91a3a921f2aed2f5ce1520069c4cf3bf4a77745702f66c4d

Observation 67071c78-9685-4968-b160-f0ceb3ceb664 · outbound

This paper cites Hoffmann, B.

Minimax Rates for the Estimation of Eigenpairs of Weighted Laplace-Beltrami Operators on Manifolds Hoffmann, B

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:21:59.946755Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:21:51.155042Z digest=sha256:a9de021e2882ae994478e3a9a956fdb0aef6e24613d932a9789ddccd5a3fedb7

Observation 08978ded-2b0f-4a47-b193-4e54442e53b6 · outbound

This paper cites an unresolved cited work.

Minimax Rates for the Estimation of Eigenpairs of Weighted Laplace-Beltrami Operators on Manifolds Unresolved cited work

Reference 42

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:21:59.745513Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:21:51.363260Z digest=sha256:1a438ba138872f72f24d557799fdc8851095e293ccfcb41e80ff8364183ae312

Observation 4f9ab32a-fb85-47b8-9683-5d609b8ada55 · outbound

This paper cites an unresolved cited work.

Minimax Rates for the Estimation of Eigenpairs of Weighted Laplace-Beltrami Operators on Manifolds Unresolved cited work

Reference 43

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:21:59.551450Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:21:51.471483Z digest=sha256:fa8b60ba1e2681a8f11731ee4e98c903cdf647c712a74f8abc2abd0051ad5db1

Observation d03afc5e-1ba2-4daf-aafb-0cc6ca6a2112 · outbound

This paper cites Kenig, F.

Minimax Rates for the Estimation of Eigenpairs of Weighted Laplace-Beltrami Operators on Manifolds Kenig, F

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:21:59.409015Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:21:51.590922Z digest=sha256:11165e0cd41f069a7d31bb46b603c804fa33d19de406bc3d85116187a8acd530

Observation cfd34e8c-f9f4-4900-a3a7-da1bdbe40e19 · outbound

This paper cites Kerkyacharian and D.

Minimax Rates for the Estimation of Eigenpairs of Weighted Laplace-Beltrami Operators on Manifolds Kerkyacharian and D

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:21:59.178318Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:21:51.692343Z digest=sha256:d6a19fb34b108558e7220e4c4681d41f8f02a97cc6b606a8ac674d37960b433c

Observation f96c29f4-fa2a-4d7e-a83e-232913080030 · outbound

This paper cites an unresolved cited work.

Minimax Rates for the Estimation of Eigenpairs of Weighted Laplace-Beltrami Operators on Manifolds Unresolved cited work

Reference 46

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:21:58.980414Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:21:51.802355Z digest=sha256:530eec635cc233b20558e77e25a2a2315d2480b4b35c17b6c9a58ee74b07fe4c

Observation 186d3a01-b736-4b4d-9416-ef4399b6dfbd · outbound

This paper cites an unresolved cited work.

Minimax Rates for the Estimation of Eigenpairs of Weighted Laplace-Beltrami Operators on Manifolds Unresolved cited work

Reference 47

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:21:58.822845Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:21:51.949027Z digest=sha256:008cf030e20e9d6c33663026c7d1550491f87c518cb6f4c3d17d6c77159b579b

Observation c64cbaec-ff7b-4c2a-b167-a21c41e51a57 · outbound

This paper cites an unresolved cited work.

Minimax Rates for the Estimation of Eigenpairs of Weighted Laplace-Beltrami Operators on Manifolds Unresolved cited work

Reference 48

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:21:58.629653Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:21:52.114571Z digest=sha256:a7099ef2b2b00774be94ab2462cdaf96aee670e3a05793c21689820946ecc860

Observation 8719b12d-bac8-437a-9d48-5bbf70b6430b · outbound

This paper cites an unresolved cited work.

Minimax Rates for the Estimation of Eigenpairs of Weighted Laplace-Beltrami Operators on Manifolds Unresolved cited work

Reference 49

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:21:58.437267Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:21:52.178969Z digest=sha256:3080c8dea50300f39b8c71186be818c181ff32adffdd017097add97adc1800cb

Observation 293775c4-0404-4ed4-92f0-7fdc6995215d · outbound

This paper cites Spectral Neural Networks: Approximation Theory and Optimization Landscape.

Minimax Rates for the Estimation of Eigenpairs of Weighted Laplace-Beltrami Operators on Manifolds Spectral Neural Networks: Approximation Theory and Optimization Landscape

Reference 50

Resolution
unresolved
no resolver link, observed 2026-08-07T12:21:52.317574Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T12:21:52.317574Z digest=sha256:724c296fc75d5934649a590b492c96285941945c4a8b4db05008e07d9b583d0f

Observation 5823c397-e9eb-4e73-a3f3-e99b98fec528 · outbound

This paper cites Li and N.

Minimax Rates for the Estimation of Eigenpairs of Weighted Laplace-Beltrami Operators on Manifolds Li and N

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:21:58.207722Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:21:52.486161Z digest=sha256:98acb5606ac95257cd30e9853fe2640d5f15028089bf40f16671a095a7156393

Observation 634628fd-0974-486e-8fef-cbd96a10be9e · outbound

This paper cites an unresolved cited work.

Minimax Rates for the Estimation of Eigenpairs of Weighted Laplace-Beltrami Operators on Manifolds Unresolved cited work

Reference 52

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:21:58.053988Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:21:52.648629Z digest=sha256:2a909c341e2303a1ec223a78f52fc0691ae37917b180eb9244623e7ff7c3640f

Observation 28059195-6087-477f-b874-752d203a78e7 · outbound

This paper cites Graph Laplacians on Shared Nearest Neighbor graphs and graph Laplacians on $k$-Nearest Neighbor graphs having the same limit.

Minimax Rates for the Estimation of Eigenpairs of Weighted Laplace-Beltrami Operators on Manifolds Graph Laplacians on Shared Nearest Neighbor graphs and graph Laplacians on $k$-Nearest Neighbor graphs having the same limit

Reference 53

Resolution
unresolved
no resolver link, observed 2026-08-07T12:21:52.785704Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T12:21:52.785704Z digest=sha256:15a43802965036ed746b427ff753cc774948df516139643839986fb19d321552

Observation 0b3d1600-d582-490e-8c6a-7ebb57663081 · outbound

This paper cites Spectral Convergence of Symmetrized Graph Laplacian on manifolds with boundary.

Minimax Rates for the Estimation of Eigenpairs of Weighted Laplace-Beltrami Operators on Manifolds Spectral Convergence of Symmetrized Graph Laplacian on manifolds with boundary

Reference 54

Resolution
verified exact
local_arxiv, observed 2026-08-07T12:21:54.660327Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:21:52.875234Z digest=sha256:f73d8ef46bed0b3462073357948b2ecd6a817d582e50b160df94ca5e7b3b4301

Observation e67cf46a-166a-4cf1-8435-1fb83091a85b · outbound

This paper cites Rayleigh.

Minimax Rates for the Estimation of Eigenpairs of Weighted Laplace-Beltrami Operators on Manifolds Rayleigh

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:21:57.796626Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:21:52.977101Z digest=sha256:c70eef4a98b24a9863c62f429475a73ea8a94b43e72aa9ddd31ace6eef5bd3aa

Observation 2701c4a2-9f06-45c6-b230-4a9261bebac0 · outbound

This paper cites an unresolved cited work.

Minimax Rates for the Estimation of Eigenpairs of Weighted Laplace-Beltrami Operators on Manifolds Unresolved cited work

Reference 56

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:21:57.477504Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:21:53.048638Z digest=sha256:59e7da9d5d76c447e7dcbef785ee0f49161f83b6185a71d49a94aa5778399384

Observation 4f15d9c3-eace-4e4c-b9c2-5869e9745f10 · outbound

This paper cites an unresolved cited work.

Minimax Rates for the Estimation of Eigenpairs of Weighted Laplace-Beltrami Operators on Manifolds Unresolved cited work

Reference 57

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:21:57.233853Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:21:53.113767Z digest=sha256:8dfccde4e7b44bbf715eb8ef70a5793e251d2139504efb6c5602de92d929f548

Observation 4619d529-088b-410b-b584-e417a316da3b · outbound

This paper cites an unresolved cited work.

Minimax Rates for the Estimation of Eigenpairs of Weighted Laplace-Beltrami Operators on Manifolds Unresolved cited work

Reference 58

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:21:57.017433Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:21:53.176631Z digest=sha256:19af6cce62d52afd769f027544e719b552e24b886ba16a9fa39aa72bda8d515b

Observation b67d12c5-d9ff-4f8b-856c-210e5cdfa64c · outbound

This paper cites Improved convergence rate of kNN graph Laplacians: differentiable self-tuned affinity.

Minimax Rates for the Estimation of Eigenpairs of Weighted Laplace-Beltrami Operators on Manifolds Improved convergence rate of kNN graph Laplacians: differentiable self-tuned affinity

Reference 59

Resolution
unresolved
no resolver link, observed 2026-08-07T12:21:53.264030Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T12:21:53.264030Z digest=sha256:62f3104326e451b78beabf9709ab474db9f67a02fbbbd0690d1c77dc1349acee

Observation eb2d1522-9c77-49fe-bb36-ae59b8ffd1d1 · outbound

This paper cites Tao and Z.

Minimax Rates for the Estimation of Eigenpairs of Weighted Laplace-Beltrami Operators on Manifolds Tao and Z

Reference 60

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:21:56.768092Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:21:53.331099Z digest=sha256:044809e369921db9b65c24c8cff142dd809e81a9978cc20ae3548a8153acfeef

Observation 0a9d2ee5-5dae-41a3-8aab-a1f5ff6c5e85 · outbound

This paper cites an unresolved cited work.

Minimax Rates for the Estimation of Eigenpairs of Weighted Laplace-Beltrami Operators on Manifolds Unresolved cited work

Reference 61

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:21:56.518630Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:21:53.396177Z digest=sha256:a5c27209b709fbb1c4356479d0f700963cf9fdeb4afd86a6d91486dc7f430d0c

Observation 83eb72ba-f278-4906-9a3b-ff661d68da44 · outbound

This paper cites Von Luxburg.

Minimax Rates for the Estimation of Eigenpairs of Weighted Laplace-Beltrami Operators on Manifolds Von Luxburg

Reference 62

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:21:56.283195Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:21:53.490539Z digest=sha256:cf8cc932e6a5f830edb0915c0183aa65b6799c07617409d5ed7b85d3ace7cf3b

Observation 9a95576f-827e-43cc-b03e-b2c78b646c8a · outbound

This paper cites an unresolved cited work.

Minimax Rates for the Estimation of Eigenpairs of Weighted Laplace-Beltrami Operators on Manifolds Unresolved cited work

Reference 63

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:21:55.994985Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:21:53.587263Z digest=sha256:909b8cbc85ffe44aea3dc92906d08e7d08c26f5037e05178fade21f4ccd05f7c

Observation cbc87e7b-33fb-42df-adc3-4bedf7187e3f · outbound

This paper cites A kernel-based analysis of Laplacian Eigenmaps.

Minimax Rates for the Estimation of Eigenpairs of Weighted Laplace-Beltrami Operators on Manifolds A kernel-based analysis of Laplacian Eigenmaps

Reference 64

Resolution
unresolved
no resolver link, observed 2026-08-07T12:21:53.768381Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T12:21:53.768381Z digest=sha256:164fef8693be8132f361f93d7416fe887c38fe7dd43b7a92c6ee8650732de31f

Observation 685aa167-b02b-4dc6-bbe4-b857717fe51a · outbound

This paper cites an unresolved cited work.

Minimax Rates for the Estimation of Eigenpairs of Weighted Laplace-Beltrami Operators on Manifolds Unresolved cited work

Reference 65

Resolution
unresolved
no resolver link, observed 2026-08-07T12:21:53.927986Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T12:21:53.927986Z digest=sha256:14aaff0df11a2ba6fc6ee3584c3318f72d898258aa28dd51330c0aa16fc37182

Observation d1d8bbc0-ce2d-4682-ab7a-1d95c699f7ec · outbound

This paper cites an unresolved cited work.

Minimax Rates for the Estimation of Eigenpairs of Weighted Laplace-Beltrami Operators on Manifolds Unresolved cited work

Reference 66

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:21:55.755467Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:21:54.096885Z digest=sha256:83d80d13db1fa1aa679cc2946aedc912a940f1943513767ce295d7074dda114e

Observation 96077828-5d91-4e44-bceb-a67654799a18 · outbound

This paper cites intrinsic curvature.

Minimax Rates for the Estimation of Eigenpairs of Weighted Laplace-Beltrami Operators on Manifolds intrinsic curvature

Reference 67

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:21:55.479662Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:21:54.281582Z digest=sha256:42936fb8832394f91dc7b9e7db576da68420baa8c06667108c3073c1cc5f42f6

Pith citing papers

Observation bfd9a394-09bf-4b97-8046-4a119df1d1c9 · inbound

Learning manifold diffusion semigroups from graph transition matrices cites this paper.

Learning manifold diffusion semigroups from graph transition matrices Minimax Rates for the Estimation of Eigenpairs of Weighted Laplace-Beltrami Operators on Manifolds

Reference 34

Resolution
verified exact
arxiv_id, observed 2026-06-29T22:44:02.186962Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-29T21:06:04.205742Z digest=sha256:27843899455c809c1e00999dfb5ae223c4ac65974538dee154527f47d8482f87

Observation d4e3af28-7103-4efc-a240-26d5c531c307 · inbound

Nonparametric Riemannian Empirical Bayes, and Denoising Measurements on Manifolds cites this paper.

Nonparametric Riemannian Empirical Bayes, and Denoising Measurements on Manifolds Minimax Rates for the Estimation of Eigenpairs of Weighted Laplace-Beltrami Operators on Manifolds

Reference 116

Resolution
verified exact
arxiv_id, observed 2026-07-03T08:07:45.455552Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-06-27T11:03:41.800439Z digest=sha256:6a5cbc4f93acc19b6602b0ec5c0899057d3267295126d68d6f925bdd48781061

Observation 1178225c-cfc2-4ef4-b23d-145c6ccee02b · inbound

On the convergence of graph Laplacians with a symmetric divergence cites this paper.

On the convergence of graph Laplacians with a symmetric divergence Minimax Rates for the Estimation of Eigenpairs of Weighted Laplace-Beltrami Operators on Manifolds

Reference 80

Resolution
verified exact
local_arxiv, observed 2026-07-08T19:45:30.321511Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-07-08T19:35:45.977006Z digest=sha256:93b9f3f6f35c25f60a4105bfbf8af21c0e21b90bf5f44468f7946de20b4e34a9

Observation 2bd0dd51-5417-4236-8489-f242f8cd8ef8 · inbound

Uniform Sobolev inequalities on geometric graphs cites this paper.

Uniform Sobolev inequalities on geometric graphs Minimax Rates for the Estimation of Eigenpairs of Weighted Laplace-Beltrami Operators on Manifolds

Reference 36

Resolution
unresolved
no resolver link, observed 2026-08-01T19:37:55.246487Z

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An indefinite Coulomb interaction from the Steklov spectrum of perforated manifolds cites this paper.

An indefinite Coulomb interaction from the Steklov spectrum of perforated manifolds Minimax Rates for the Estimation of Eigenpairs of Weighted Laplace-Beltrami Operators on Manifolds

Reference 36

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