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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 2026-08-07T06:34:17.273281+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 2026-08-07T06:34:17.273281+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 2026-08-07T06:34:17.273281+00:00.

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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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:21:46.357987Z digest=sha256:4fbd79fdd1045a73c68826f17842cb01433eeff331506b0310b6cd56b7f78b82

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:21:46.489179Z digest=sha256:1ae73d6ec1375ea87de01a3846e7daf1c28c4e167595702e7520ac146661d471

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:21:46.593304Z digest=sha256:edb50ffdeb101beba509210ddb5561e88b4a530ee523d57daf406cf242658176

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:21:46.665651Z digest=sha256:bc08d87455884bf7dcb87905b8dd036bec7542ac03f5c72aa737be524ed27a2f

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:21:46.748353Z digest=sha256:790adde8cfb670bcc4f0913fa05fabf465af2f987455199bd5dfe476fe49694e

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:21:46.837485Z digest=sha256:099abaf39fe59137c0ebef50a9e71cee2554fdd161e4743a4c97420177057075

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:21:46.944820Z digest=sha256:167be5177bd8a0d2615661f1917839bb0e82e9054443c5380151827e0f9b712a

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:21:47.028697Z digest=sha256:e3f3029e1a9487e5cd88b1d162e8d5a7dd9524918c339ff14164f585ee86798d

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:21:47.115652Z digest=sha256:731eea115bac6664fb4752824a756540f9eeba27a7ae294eb05108065a80ce6e

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 2026-08-07T06:34:17.273281+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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:21:47.375660Z digest=sha256:dc71ddd6eb3571cd22296f9573a95b0513891ba36a0552c5bb5e0f7b172613ab

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:21:47.495568Z digest=sha256:826e59c6d36a05555edd876e29c4f6c44d86fcfb2a45b36fb0afea35bc206c42

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:21:47.632936Z digest=sha256:ae6f5efc1d517f6018f17fe42e1f85af4772cba86cfc8ec0324a7dbfe6af8dea

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 2026-08-07T06:34:17.273281+00:00.

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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 2026-08-07T06:34:17.273281+00:00.

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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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:21:47.992214Z digest=sha256:2cc32dcbbfed089d5c4b0b1afb3b03bf1bb56deaa6c2498736c82fb962005d60

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:21:48.141046Z digest=sha256:98bbc7685d278894f4fee71d37c468bd281d702ab1ba0eeaf1f1e99d26f16a0c

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 2026-08-07T06:34:17.273281+00:00.

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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 2026-08-07T06:34:17.273281+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 2026-08-07T06:34:17.273281+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 2026-08-07T06:34:17.273281+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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:21:48.554665Z digest=sha256:3154e497ae9afe38875940919b1ae4e070aeb6c8b7ea10c15ab980f58d5604a6

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:21:48.643509Z digest=sha256:fa8c69865dd8c94a18725a836b48d9dc61da1d221c06ccfc3b8f8a8daca55907

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:21:48.807206Z digest=sha256:7841a5d63468f6abacef85f547cad1b8aadcd49cf5e8981aab27697811045a60

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:21:48.974458Z digest=sha256:b75cbc9ea7347ed7d39e49bdd17145ad1d42bb69d339c4eff33626d1fa10a821

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:21:49.159860Z digest=sha256:eba9401c7face13e15cf55ec97f36d6849ce20bbe26c6437a9ce15991752001d

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:21:49.324923Z digest=sha256:3bc5c68554616d0daef6ea1b25ca158a8a5141e0e4877c93e7f10e8594fe4516

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:21:49.454957Z digest=sha256:1eafb6dd898e6c6cbe66051d319406488d05ec782905129bd603cda4a9964a59

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:21:49.683670Z digest=sha256:e19a5fe63f72845dc3da795902b1edb6e095bd1850d32b17ec84a77119b9357b

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:21:49.992686Z digest=sha256:7684fc4654166ad1ccce06648013d3cf7da56abb23191d852a7f75a8869164f4

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:21:50.211810Z digest=sha256:37942a165bfac25001867cd995bdd2d390838db764003bb0ba7b62c544842f4c

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:21:50.393357Z digest=sha256:52c811401805e78ab88f3f5afe3856f15e33ad5763a3214832bb66435387ab7a

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:21:50.563293Z digest=sha256:49d8f01fe1f4e787818d736271f7a63288d6c6caaceedb41e1d2a5db81be172e

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:21:50.694789Z digest=sha256:13ba2a3d0f207e3cf9aa0aafce04c9cc94b79ca047f77ac5eefea655dfc16127

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:21:50.840375Z digest=sha256:cef8023b1012d0b2f93575a2da21e518a66b77c868f19679378a56f2c20f2f20

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:21:50.976078Z digest=sha256:cf8f47a1d0131577b3a2bd270085127c59928d93d0297a7676c6865f318ce842

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:21:51.155042Z digest=sha256:ed24ed005e766ab47420dfc3e08f69302829189ae2d1d645ed5fad8a00de55aa

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:21:51.363260Z digest=sha256:64f6505055fead00627905f5a2e16c38181f6d1176cb5be93ba06bf8bf13b28e

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:21:51.471483Z digest=sha256:4625fb7613bc4cf118314713e30f43d3c809bb6de6ea374b8ffb99bfc7a4f494

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:21:51.590922Z digest=sha256:ec5d4266194a7b4feaf643a7da75e86ef0ade843e78dc86f8d0320f35a187f09

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:21:51.692343Z digest=sha256:dcdad49b76f28672fb24a295156f35a1be024cc8e1c0821a047362afa907d526

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:21:51.802355Z digest=sha256:d8cfd1298e4d13b33bd150f0a761b4895f0324ef6e0c6f89bb5b257d5836a069

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:21:51.949027Z digest=sha256:45d62db6b03539e842dd852af8c7ca9e79a5992b017ca2f69ecbfee9d6a7f933

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:21:52.114571Z digest=sha256:b18632c3fc8389a691038ed7cdffc977a392d4e9fe7d951eb4d75a183c13986c

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:21:52.178969Z digest=sha256:d0688b0f8a1c0729d67f9ba196253c30c43f1f71c2a8e67f59590cadea56b125

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:21:52.486161Z digest=sha256:7733784c68165e0a45c4fd778b34df7a5eb218722fab777f9a4e776b4967a684

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:21:52.648629Z digest=sha256:10c2dc7cd2c78d655987f41755e95d9d07595d00edb338458f3a97dd380e9395

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:21:52.875234Z digest=sha256:583067c86898270e5c810501db50d08a6b1c721382135340d6d754b58ea8386b

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:21:52.977101Z digest=sha256:27b775e84d7a56a79f4b53517202bc6a9615e1bad5dea16799c448e7dc05e84a

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:21:53.048638Z digest=sha256:3fdcd9d73dd77dd0f0a67b4c3c06bc7bc06115af92e25c9dde3113e0ef0c046b

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:21:53.113767Z digest=sha256:2cc2915790e3c18c05e7b981f545d978f72647ea42517b5cea6d6a5c8b6aa2f7

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:21:53.176631Z digest=sha256:0962ec33846444726beadb9020ede1d1cd8a3a3517b2da5bd779f956b2e51592

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:21:53.331099Z digest=sha256:bc33e5f2093fbbcdcf199b06ac41fba025257aad6d6bccad86398ddce163b7ad

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:21:53.396177Z digest=sha256:3ece738f16d898ef90e6a5ee4fef767b4e8406a9bab28648c5f9f9e7359f5c65

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:21:53.490539Z digest=sha256:ee6ce559727acecc78ea2d1a1df5ae95788903d9fc98314cac27f5343c707977

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:21:53.587263Z digest=sha256:3096746df248cf295d7013a931cc8fc40ee7396e4d76a3ed55eaa39df530ff72

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:21:54.096885Z digest=sha256:d2e0abf00d95dcd4d694f9fe10889affc41bb9249feb533aab34f5cdb82321c3

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T12:21:54.281582Z digest=sha256:de0a18a1ac3f0bf41efc2371249bdcf1717eaae077399868953ae798f7b96a9c

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-06-29T21:06:04.205742Z digest=sha256:4e1af77a2bf60d8f8b8fd7fdec790c5b43d3223e2ea0e340357c6011ff135e64

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-06-27T11:03:41.800439Z digest=sha256:2485b87786f7daf3679a145da19c7ce93009dad22634bda90f830d6a5f8d0fb5

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-07-08T19:35:45.977006Z digest=sha256:459d46e53d7a445f3c6d18efb50f9b7e2d7cfb7e8cf47044234fd0587b212262

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

Source-reported events for the cited work

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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

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