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Paper Citation Record · LEDGER

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

As of 20 August 2026, this Paper Citation Record lists 67 of 67 outbound references and 6 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 73 of 73 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 6 of 6 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T18:23:00.141132Z

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 2026-08-19T06:32:44.657259+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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T12:21:46.266007Z digest=sha256:340b3ef33f46d12bbd649298576dd3a835a1a0b3bb4cf91869f10c84902d2ea8

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T12:21:46.357987Z digest=sha256:b3c3a2fb312b1b07106a4c2a219bc878bf021baa9adde9ebfc8a629f21b5ab35

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T12:21:46.489179Z digest=sha256:4414fd490d28bcc811254d31906c3ad2e88a7ad77c1e4578f643243236778d5a

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T12:21:46.593304Z digest=sha256:11b8d57d267c931057d3fe46e36baa3774cad8654c3138b29602dbdf76ade535

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T12:21:46.665651Z digest=sha256:644db1b582f567e63d76d2da32f78afe6fdcb9640ca962331cc1458903365873

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T12:21:46.748353Z digest=sha256:c902913785c099fc5b4ab2a40a305648f7050a3183a0f9a787a0afe7ab8602b2

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T12:21:46.837485Z digest=sha256:c961b227cb664b933fd8a396a7aee8a837bb2534800a6fc13ee487c574582bdc

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T12:21:46.944820Z digest=sha256:cf4d08cec911970e865b9b8137648c712b6b68a429595313ab7f8b957677f19e

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T12:21:47.028697Z digest=sha256:fa9b724e7c5e34f006b420ad65bdc623eae25e64e4aa96bcc05ce93df25c4167

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 2026-08-19T06:32:44.657259+00:00.

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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 2026-08-19T06:32:44.657259+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=sha256:552f95144babad52b722f33620718ef665eadfaed1ba3d05e3dd3933030962cc

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T12:21:47.375660Z digest=sha256:954373a7e9e20be7e19dd5e201303e055034c8c8872d9128755232a311900322

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T12:21:47.495568Z digest=sha256:f04ff091f36eb56b51fbc87e54c2f5599075389af581136f07fd650f1d3e8d6e

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T12:21:47.632936Z digest=sha256:2f45b1c9c6ddb8ac0a7e6d77c88243fcc42b7f37ae5fa5aaa2b3d027c9a778f3

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T12:21:47.782142Z digest=sha256:674ed508b782e94887d32e2d045854323fbcadf473df9715868f2e64282e14cb

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T12:21:47.901071Z digest=sha256:10fbede136a7e82353ec52e4abb7c766b2aeb3d3a2120588a1cb1626f711aa29

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T12:21:47.992214Z digest=sha256:d9617dbb4cfc838e3d01efa7c94c9c614ddd5a31013b26f686707c533b256615

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T12:21:48.141046Z digest=sha256:a8e7623ab09c7b4450d48db00583413477fa0000d1f6235af7c6eb427b51192f

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T12:21:48.215273Z digest=sha256:ab120c289252beb9d444f553edf1b08ac100be7794b3c373481c07355cf8b469

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T12:21:48.290845Z digest=sha256:a2d631b2d0f3e2428c41e5fdc80d8106ae5dc083c9bdce4822b2a56b3f883a10

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 2026-08-19T06:32:44.657259+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 2026-08-19T06:32:44.657259+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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T12:21:48.554665Z digest=sha256:e5ac01eeb96a67628d6b00c3c10e168f63433536034b6f7a3a3ecd5a7ab48f59

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T12:21:48.643509Z digest=sha256:c427fb7561e44b8f53c2bfb8df957dba95dd23cbe495f92e32d6c88d4582ecdf

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T12:21:48.807206Z digest=sha256:26e4fa2459bd1855253fb6eb4062475975f4a38486d475f61d16c3e14310236c

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T12:21:48.974458Z digest=sha256:789eb57d8f18ee1b061266ff24329e396db11f4f4e89494c446bf766f41dd064

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T12:21:49.159860Z digest=sha256:ee5f133e12c5cadc6d8f5eb43b47f3c28dce94ab37d9b88fd35630847ca5d2f4

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T12:21:49.324923Z digest=sha256:3a761ff87f1b303c065b273443b48a549a4d05c7e5e243263ce535f57bf3eb79

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T12:21:49.454957Z digest=sha256:76a84c844c19449ffc15705bd548acb078a406c89868665be6f49b256b765c92

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T12:21:49.683670Z digest=sha256:37a25b3b2260c4eef2666e54f4be0dfd7bb6885bb1e5223c6386f710611e2a5e

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:efce8b741dc0b76343922f5a3ebc17b2e03580f405c1665d61b3ddc559063423

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T12:21:49.992686Z digest=sha256:68238ddbf31ab380404d6274361ad7672757d6a4c7299912a51bcd82df5ed929

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T12:21:50.211810Z digest=sha256:5adc386ade697fe514315a9c3e59efd6f88bada622ad31d23af9077ed75e7ebf

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T12:21:50.393357Z digest=sha256:0250c88f35fa578b5a9c5fde53777bcb1fa210701df7e7bdb18bd7ee8c55dd8d

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T12:21:50.563293Z digest=sha256:07fa7d99c7a8e36032b95066bec3067f9a8461c1d887647c5eca32cde8bb299f

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T12:21:50.694789Z digest=sha256:16de90693b7e43aef54598239750d8cea1e59b507d3cb689843b98c5909b7f1a

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T12:21:50.840375Z digest=sha256:1bdb3658de28914d0b45fc4e37d31984cb346c06dc3e0425ccd62f91bd8fa83f

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T12:21:50.976078Z digest=sha256:23e11a219449dd3cbd45d156272da51c30ea3b96c7bd2c3ab6ea1a4e9968f455

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T12:21:51.155042Z digest=sha256:bb3ea025199e37b8730e3cbc0a571667b13aefc52b14aaa69b777bcac44449a0

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T12:21:51.363260Z digest=sha256:7e5bfa69455fdf79d46058fd665bc5303e1d20890a4af8507dbb3f3b404b7625

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T12:21:51.471483Z digest=sha256:3204edd43d4a611e4fee514cd93cdc0c3fb3ef14ff08f09b2aff32784b0574f4

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T12:21:51.590922Z digest=sha256:da4f90f58379729c83a1845ed89774c2fa90e5eb9bf06b875c89c65315021004

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T12:21:51.692343Z digest=sha256:521e8077582f3b270406492b8f3cf6b3c7754688d9e307e7d921a48aa6050e50

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T12:21:51.802355Z digest=sha256:3d40c7936bfd438d48cbb1476a70704c12f1929486a5763f31d8e9aed5511e51

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T12:21:51.949027Z digest=sha256:93331d7533ee1e8f7ad26696870d4527a92a9cfef10500139019a8fb9c38b890

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T12:21:52.114571Z digest=sha256:8dcf211d2330e7954cf76208f99210a7f2dd5797902db141d7e4fdad0a600aa8

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T12:21:52.178969Z digest=sha256:10f44a5f2366b9b5196785c14aaf54f6dd5ca674e39706626227c4d56b8b9171

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:c3458dd815a5597588039969a3a9bad8bfe16c01c6e994ee69515da8da052f99

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T12:21:52.486161Z digest=sha256:4ef730020fb06b1e56f2d5a3011658b0cced017234f2db2f25aaa06506b3b164

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T12:21:52.648629Z digest=sha256:aa028456ca56dbe1797baac05e282a715dfa652f222e2807239dc13bf268dc88

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=sha256:6e95f2e2585ace6d799c6793366a2f74cc415d49b5f58e3746c40a5fdc316a96

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T12:21:52.875234Z digest=sha256:8bbe8cae28355f76bf365d7bc9f8b346876e4f758756bd86f449d93ac04b7b9b

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T12:21:52.977101Z digest=sha256:4f277819244e2315879030256fa8484a18e71de91c99f41447d1b8f2fe1457ea

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T12:21:53.048638Z digest=sha256:8efeb9858cd0a6a2a067210934e32b5435ae466c97f2eb0fb89d88ab40b78cd8

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T12:21:53.113767Z digest=sha256:37e90a1fb1fac2b854cebb38082e2dcbc871582aaba911bca4422b61c9dcb3e2

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T12:21:53.176631Z digest=sha256:a6466b794190694d4261dcc62675fbc2c3a966e637508c6a05c8fd8fff0a7b99

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:ddacc93a5e3eb268ea3dc7f03b8baa125bdfa1287e418a561ce3241f1c46f6d5

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T12:21:53.331099Z digest=sha256:a3fdeb7498a3d38e03581952bd135e50c91e25132e9047445a0d0e772d1ae3f5

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T12:21:53.396177Z digest=sha256:03f30dbd5a6ff2eb1bbc54a34451519221ba835221ea0c3d0fa417f03991f458

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T12:21:53.490539Z digest=sha256:eeecae22482784340ae207417aafcbfd1548374f288bd21b6aab4acbe31451f7

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T12:21:53.587263Z digest=sha256:967290287d3514b7bc77d098598390c1353c0063aea68e0b5ad78223082eb23d

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=sha256:9a4a19e40c1d9bc0455108be948ef180a46e545995ad37a09daca03cc9da080f

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:dc96334670e7b2fe9ed9630c75b36fe597c155881d3e1f39586d40a1300df58d

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T12:21:54.096885Z digest=sha256:63a6bf96d518693fb8474eda796bc0dbcce86d14c70735690624f7af113bd953

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T12:21:54.281582Z digest=sha256:4e878e283af76f04af8c8c626a39beaace8b064fbdbc24a4c8afb62192a13269

Pith citing papers

Observation 88bc7dda-4da9-4afd-a363-0d023162c6c0 · inbound

Central limit theorems for the eigenvalues of graph Laplacians on data clouds cites this paper.

Central limit theorems for the eigenvalues of graph Laplacians on data clouds Minimax Rates for the Estimation of Eigenpairs of Weighted Laplace-Beltrami Operators on Manifolds

Reference 27

Resolution
unresolved
no resolver link, observed 2026-08-15T18:23:00.141132Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T18:23:00.141132Z digest=sha256:cfed4668cbcf8562a9d880dc1ddbc1d93a8d7b4a971676944c49e9c1bdb3dd17

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-06-29T21:06:04.205742Z digest=sha256:e3170095b6dc8178ea98e662286fe0bf31d15bb14b906b6945608a2e43c43b33

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 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-06-27T11:03:41.800439Z digest=sha256:835f3af84ae5b06a404bf1b2d585b076a5645c7b45c915b073bc4801b4ba3ea8

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 2026-08-19T06:32:44.657259+00:00.

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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

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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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