Paper Citation Record · LEDGER

First-order methods on bounded-rank tensors converging to stationary points

As of 10 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 0 inbound Pith citation observations for arXiv:2503.04523.

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

pith.paper-citation-record.v1
2503.04523 v2

Coverage vector

measured 35 of 35 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-23T01:14:07.234227Z

measured 35 of 35 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

35 of 35 outbound references displayed

verified exact6
verified fuzzy19
unresolved10
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e3f8ab3c-4528-4e82-8ad9-5f2595b0682b · outbound

This paper cites Absil, R.

First-order methods on bounded-rank tensors converging to stationary points Absil, R

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T01:15:17.342029Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation a455d347-5d89-4f79-b97d-04deff1d3478 · outbound

This paper cites Boumal, An introduction to optimization on smooth manifolds, Cambridge University Press.

First-order methods on bounded-rank tensors converging to stationary points Boumal, An introduction to optimization on smooth manifolds, Cambridge University Press

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T01:15:17.382438Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation c721118b-b6e8-422c-a7dc-96eb2f6e3593 · outbound

This paper cites Boumal, P.-A.

First-order methods on bounded-rank tensors converging to stationary points Boumal, P.-A

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T01:15:17.316858Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 6f7a6a9a-2321-41df-a43b-d08d9dfe6903 · outbound

This paper cites De Lathauwer, B.

First-order methods on bounded-rank tensors converging to stationary points De Lathauwer, B

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T01:15:17.274919Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 88d16903-6eaf-4a61-9ba3-61109ef0c438 · outbound

This paper cites De Silva and L.-H.

First-order methods on bounded-rank tensors converging to stationary points De Silva and L.-H

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T01:15:17.324554Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 42e98777-fecc-4d01-ab0e-1ac9db0a78c5 · outbound

This paper cites an unresolved cited work.

First-order methods on bounded-rank tensors converging to stationary points Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-05-23T01:15:17.305543Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation f32fdfef-fbb8-4937-a855-847481f2ca05 · outbound

This paper cites Optimization on product manifolds under a preconditioned metric.

First-order methods on bounded-rank tensors converging to stationary points Optimization on product manifolds under a preconditioned metric

Reference 7

Resolution: verified exact; arxiv_id, observed 2026-05-23T01:15:17.126558Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 67484975-8629-4f06-888e-1add93df556e · outbound

This paper cites Desingularization of bounded-rank tensor sets.

First-order methods on bounded-rank tensors converging to stationary points Desingularization of bounded-rank tensor sets

Reference 8

Resolution: verified exact; arxiv_id, observed 2026-05-23T01:15:17.116553Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation bb4a99d2-a04e-4387-9146-1fe58d3b9ab8 · outbound

This paper cites an unresolved cited work.

First-order methods on bounded-rank tensors converging to stationary points Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-05-23T01:15:17.261147Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 65ca3845-0ca1-443d-9bab-802094f8b734 · outbound

This paper cites an unresolved cited work.

First-order methods on bounded-rank tensors converging to stationary points Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-05-23T01:15:17.301646Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation b1a7a3c9-7e97-4a63-8070-d4e49adf0358 · outbound

This paper cites Grasedyck , Hierarchical singular value decomposition of tensors , SIAM journal on matrix analysis and applications, 31 (2010), pp.

First-order methods on bounded-rank tensors converging to stationary points Grasedyck , Hierarchical singular value decomposition of tensors , SIAM journal on matrix analysis and applications, 31 (2010), pp

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T01:15:17.265480Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation c5ef5610-c429-4351-bb58-a6a152872a84 · outbound

This paper cites an unresolved cited work.

First-order methods on bounded-rank tensors converging to stationary points Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-05-23T01:15:17.337088Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 0c834347-6bd0-44ee-b5d4-dd125ec6fbba · outbound

This paper cites an unresolved cited work.

First-order methods on bounded-rank tensors converging to stationary points Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-05-23T01:15:17.333354Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation f2954916-e2fc-4de3-a85d-e4c3f18c6057 · outbound

This paper cites an unresolved cited work.

First-order methods on bounded-rank tensors converging to stationary points Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-05-23T01:15:17.270455Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation fd049ba9-f553-4fdf-a315-cd0edf32c4dc · outbound

This paper cites Kasai and B.

First-order methods on bounded-rank tensors converging to stationary points Kasai and B

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T01:15:17.394829Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 382a0f27-ae0e-48c6-b1d8-c29a8a1bc385 · outbound

This paper cites Koch and C.

First-order methods on bounded-rank tensors converging to stationary points Koch and C

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T01:15:17.412795Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation f730ed56-5d1f-432e-8bc9-e08c534584d3 · outbound

This paper cites an unresolved cited work.

First-order methods on bounded-rank tensors converging to stationary points Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-05-23T01:15:17.404669Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 56137254-9dd1-4e1f-ad23-8bda8a3a07ef · outbound

This paper cites Kressner, M.

First-order methods on bounded-rank tensors converging to stationary points Kressner, M

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T01:15:17.297579Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 70012984-92f3-4810-8d3e-c6370de609ea · outbound

This paper cites Levin, J.

First-order methods on bounded-rank tensors converging to stationary points Levin, J

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T01:15:17.309386Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation c9b856bd-51ad-44c4-85b5-ecf4f71034bc · outbound

This paper cites Levin, J.

First-order methods on bounded-rank tensors converging to stationary points Levin, J

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T01:15:17.293888Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation fdcd0a9d-2dc6-42b0-9dd0-91c7f24c8156 · outbound

This paper cites Olikier and P.-A.

First-order methods on bounded-rank tensors converging to stationary points Olikier and P.-A

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T01:15:17.354059Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation c059cfa5-e652-40d2-b06a-75c178494e72 · outbound

This paper cites First-order optimization on stratified sets.

First-order methods on bounded-rank tensors converging to stationary points First-order optimization on stratified sets

Reference 22

Resolution: verified exact; arxiv_id, observed 2026-05-23T01:15:17.105159Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation d06079e8-db22-4a99-b28d-7012b93cdd26 · outbound

This paper cites Low-rank optimization methods based on projected projected-gradient descent that accumulate at Bouligand stationary points.

First-order methods on bounded-rank tensors converging to stationary points Low-rank optimization methods based on projected projected-gradient descent that accumulate at Bouligand stationary points

Reference 23

Resolution: verified exact; arxiv_id, observed 2026-06-29T02:13:59.546911Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 8d952eed-b22e-4fb3-bfd8-00573bb26363 · outbound

This paper cites Projected gradient descent accumulates at Bouligand stationary points.

First-order methods on bounded-rank tensors converging to stationary points Projected gradient descent accumulates at Bouligand stationary points

Reference 24

Resolution: verified exact; arxiv_id, observed 2026-05-23T01:15:17.121835Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation ccac29cc-1928-4703-aed6-7d11d0400c6d · outbound

This paper cites Optimization over bounded-rank matrices through a desingularization enables joint global and local guarantees.

First-order methods on bounded-rank tensors converging to stationary points Optimization over bounded-rank matrices through a desingularization enables joint global and local guarantees

Reference 25

Resolution: verified exact; arxiv_id, observed 2026-07-14T01:20:41.529440Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation f9b37bbb-5d88-470b-a89e-21e15ff4b786 · outbound

This paper cites Schneider and A.

First-order methods on bounded-rank tensors converging to stationary points Schneider and A

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T01:15:17.290797Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 129c3279-a099-418e-828e-11d1e897e46b · outbound

This paper cites Shalit, D.

First-order methods on bounded-rank tensors converging to stationary points Shalit, D

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T01:15:17.389715Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 7cfe3e54-a61c-4dca-bec2-369d6dc8fb10 · outbound

This paper cites Steinlechner , Riemannian optimization for high-dimensional tensor completion , SIAM Journal on Scientific Computing, 38 (2016), pp.

First-order methods on bounded-rank tensors converging to stationary points Steinlechner , Riemannian optimization for high-dimensional tensor completion , SIAM Journal on Scientific Computing, 38 (2016), pp

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T01:15:17.400959Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation f8de2389-037e-432c-8b20-e5a0118f41d6 · outbound

This paper cites an unresolved cited work.

First-order methods on bounded-rank tensors converging to stationary points Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-05-23T01:15:17.312731Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation fafdd373-45a7-40ab-aafb-eef208952aa9 · outbound

This paper cites an unresolved cited work.

First-order methods on bounded-rank tensors converging to stationary points Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-05-23T01:15:17.320995Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 5c2acd1c-6069-41ec-a866-d03017133349 · outbound

This paper cites Uschmajew and B.

First-order methods on bounded-rank tensors converging to stationary points Uschmajew and B

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T01:15:17.329461Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 680f7ff6-97be-4a5d-97bb-ffbf08f54033 · outbound

This paper cites Uschmajew and B.

First-order methods on bounded-rank tensors converging to stationary points Uschmajew and B

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T01:15:17.286530Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 3d348da7-79c4-4666-8337-795b88861147 · outbound

This paper cites V andereycken, Low-rank matrix completion by Riemannian optimization , SIAM Journal on Optimization, 23 (2013), pp.

First-order methods on bounded-rank tensors converging to stationary points V andereycken, Low-rank matrix completion by Riemannian optimization , SIAM Journal on Optimization, 23 (2013), pp

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T01:15:17.348748Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 01587096-ea14-4370-98f8-fc60948d02af · outbound

This paper cites an unresolved cited work.

First-order methods on bounded-rank tensors converging to stationary points Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-05-23T01:15:17.282560Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 8456d986-c0fe-4765-9009-84b09489d6e8 · outbound

This paper cites 2, IEEE, 2003, pp.

First-order methods on bounded-rank tensors converging to stationary points 2, IEEE, 2003, pp

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T01:15:17.278631Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Pith citing papers

No inbound Pith citation observations are available.