Paper Citation Record · LEDGER

Gradient Flow Equations for Deep Linear Neural Networks: A Survey from a Network Perspective

As of 9 August 2026, this Paper Citation Record lists 45 of 45 outbound references and 1 inbound Pith citation observation for arXiv:2511.10362.

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

pith.paper-citation-record.v1
2511.10362 v1

Coverage vector

measured 45 of 45 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T22:31:45.830040Z

measured 46 of 46 standing notices

One-hop event checks from named stored sources.

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

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-28T16:26:55.468917Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-01T21:46:15.212664Z

Reference resolution

45 of 45 outbound references displayed

verified exact0
verified fuzzy0
unresolved45
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation dc436877-6157-4c61-994c-3d3ef7050204 · outbound

This paper cites an unresolved cited work.

Gradient Flow Equations for Deep Linear Neural Networks: A Survey from a Network Perspective Unresolved cited work

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-03T22:31:42.888676Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 724fc1ae-6b1d-4844-aed2-8e4b4aa5129f · outbound

This paper cites Arora, N.

Gradient Flow Equations for Deep Linear Neural Networks: A Survey from a Network Perspective Arora, N

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-03T22:31:43.024015Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 532f80b6-2791-4368-bd2f-11c38257df85 · outbound

This paper cites Arora, N.

Gradient Flow Equations for Deep Linear Neural Networks: A Survey from a Network Perspective Arora, N

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-03T22:31:43.109893Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0985248e-719c-40c5-9a08-d75de328cf1f · outbound

This paper cites Arora, N.

Gradient Flow Equations for Deep Linear Neural Networks: A Survey from a Network Perspective Arora, N

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-03T22:31:43.253501Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b34df24b-262e-497d-8fab-514c6c99579d · outbound

This paper cites an unresolved cited work.

Gradient Flow Equations for Deep Linear Neural Networks: A Survey from a Network Perspective Unresolved cited work

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-03T22:31:43.291180Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bbb4d7fe-4c4c-4249-bc3b-d30af4f392a3 · outbound

This paper cites Baldi and K.

Gradient Flow Equations for Deep Linear Neural Networks: A Survey from a Network Perspective Baldi and K

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-03T22:31:43.371433Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cdfa377d-4a1a-4d66-b12c-3d3f31ae92cc · outbound

This paper cites On implicit regularization: Morse functions and applications to matrix factorization.

Gradient Flow Equations for Deep Linear Neural Networks: A Survey from a Network Perspective On implicit regularization: Morse functions and applications to matrix factorization

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-03T22:31:43.490503Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 706e670c-10ae-4734-8932-37958b0a7dda · outbound

This paper cites Blum and R.

Gradient Flow Equations for Deep Linear Neural Networks: A Survey from a Network Perspective Blum and R

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-03T22:31:43.566559Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d1c40a52-b700-41ea-b1ee-45fb405086c0 · outbound

This paper cites an unresolved cited work.

Gradient Flow Equations for Deep Linear Neural Networks: A Survey from a Network Perspective Unresolved cited work

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-03T22:31:43.622566Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 232f93e5-6969-4305-be70-aef608af2511 · outbound

This paper cites Chitour, Z.

Gradient Flow Equations for Deep Linear Neural Networks: A Survey from a Network Perspective Chitour, Z

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-03T22:31:43.650219Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b1c3a4a5-bb66-40ac-bb57-ae9d27d6c9ab · outbound

This paper cites Chizat, M.

Gradient Flow Equations for Deep Linear Neural Networks: A Survey from a Network Perspective Chizat, M

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-03T22:31:43.676434Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 87c2fe6e-36ba-48ea-bf84-44aa0c320f29 · outbound

This paper cites Lecture Notes on Linear Neural Networks: A Tale of Optimization and Generalization in Deep Learning.

Gradient Flow Equations for Deep Linear Neural Networks: A Survey from a Network Perspective Lecture Notes on Linear Neural Networks: A Tale of Optimization and Generalization in Deep Learning

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-03T22:31:43.729681Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 765d386e-b1e3-4a31-b0ca-0882dc3e4c47 · outbound

This paper cites an unresolved cited work.

Gradient Flow Equations for Deep Linear Neural Networks: A Survey from a Network Perspective Unresolved cited work

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-03T22:31:43.810416Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a7eab3b0-6cca-4b2f-90a9-a49b39be45f3 · outbound

This paper cites an unresolved cited work.

Gradient Flow Equations for Deep Linear Neural Networks: A Survey from a Network Perspective Unresolved cited work

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-03T22:31:43.817772Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 67dda4c3-44ba-48b1-9d55-29d85b6d7992 · outbound

This paper cites an unresolved cited work.

Gradient Flow Equations for Deep Linear Neural Networks: A Survey from a Network Perspective Unresolved cited work

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-03T22:31:43.886239Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f85bd581-d338-48ee-87c1-d7a5a9c3d866 · outbound

This paper cites Fukumizu.

Gradient Flow Equations for Deep Linear Neural Networks: A Survey from a Network Perspective Fukumizu

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-03T22:31:43.981731Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f2bc8ab6-2009-4273-a6df-b364640d47e6 · outbound

This paper cites Gidel, F.

Gradient Flow Equations for Deep Linear Neural Networks: A Survey from a Network Perspective Gidel, F

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-03T22:31:44.104771Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e4f298aa-fee5-499f-ad2a-15857cf56dfc · outbound

This paper cites Gissin, S.

Gradient Flow Equations for Deep Linear Neural Networks: A Survey from a Network Perspective Gissin, S

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-03T22:31:44.152423Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c7c32ebd-0538-4e9a-87c6-c6bd4a784f25 · outbound

This paper cites Glorot and Y.

Gradient Flow Equations for Deep Linear Neural Networks: A Survey from a Network Perspective Glorot and Y

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-03T22:31:44.249415Z

Source-reported events for the cited work

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Observation 83ddfb59-2170-426e-bce2-cdc5089c1a0d · outbound

This paper cites Golub and C.

Gradient Flow Equations for Deep Linear Neural Networks: A Survey from a Network Perspective Golub and C

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-03T22:31:44.301617Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 32cb4b3a-d4e8-4bcd-ad68-064e52866941 · outbound

This paper cites Gunasekar, B.

Gradient Flow Equations for Deep Linear Neural Networks: A Survey from a Network Perspective Gunasekar, B

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-03T22:31:44.358172Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c10fcc0d-10d1-44c8-bdd2-2c5564525b26 · outbound

This paper cites Hirsch, R.

Gradient Flow Equations for Deep Linear Neural Networks: A Survey from a Network Perspective Hirsch, R

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-03T22:31:44.500574Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3a8f20e4-0c1c-4f62-8650-bbd5be08d4ff · outbound

This paper cites Saddle-to-Saddle Dynamics in Deep Linear Networks: Small Initialization Training, Symmetry, and Sparsity.

Gradient Flow Equations for Deep Linear Neural Networks: A Survey from a Network Perspective Saddle-to-Saddle Dynamics in Deep Linear Networks: Small Initialization Training, Symmetry, and Sparsity

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-03T22:31:44.546962Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e1060b8a-880b-4086-b1e8-78ef7de0f1ba · outbound

This paper cites Kawaguchi.

Gradient Flow Equations for Deep Linear Neural Networks: A Survey from a Network Perspective Kawaguchi

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-03T22:31:44.618303Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e672a7a2-c7aa-4d8c-b581-ae00bdad158d · outbound

This paper cites Khalil.Nonlinear Systems.

Gradient Flow Equations for Deep Linear Neural Networks: A Survey from a Network Perspective Khalil.Nonlinear Systems

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-03T22:31:44.673979Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9ed0d9e4-5afe-41e2-9f20-74faa5c0c312 · outbound

This paper cites Kunin, A.

Gradient Flow Equations for Deep Linear Neural Networks: A Survey from a Network Perspective Kunin, A

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-03T22:31:44.772775Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c53cba88-491e-4c7d-b664-efb1a2b00809 · outbound

This paper cites an unresolved cited work.

Gradient Flow Equations for Deep Linear Neural Networks: A Survey from a Network Perspective Unresolved cited work

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-03T22:31:44.844785Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fb0dfce8-a589-45ba-84e8-e1869e810891 · outbound

This paper cites Laurent and J.

Gradient Flow Equations for Deep Linear Neural Networks: A Survey from a Network Perspective Laurent and J

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-03T22:31:44.953885Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation aff8df3f-fdf0-4bf4-8516-3c2c0050ec95 · outbound

This paper cites LeCun, Y.

Gradient Flow Equations for Deep Linear Neural Networks: A Survey from a Network Perspective LeCun, Y

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-03T22:31:45.094104Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ac3e7a17-20ba-4be9-b09d-fa128cfec464 · outbound

This paper cites an unresolved cited work.

Gradient Flow Equations for Deep Linear Neural Networks: A Survey from a Network Perspective Unresolved cited work

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-03T22:31:45.144008Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2ef4d043-9bf6-44ab-80f3-eb8ab8591274 · outbound

This paper cites an unresolved cited work.

Gradient Flow Equations for Deep Linear Neural Networks: A Survey from a Network Perspective Unresolved cited work

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-03T22:31:45.198854Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d9e87e0e-a71a-4038-ac9d-30c802e83862 · outbound

This paper cites Lojasiewicz.

Gradient Flow Equations for Deep Linear Neural Networks: A Survey from a Network Perspective Lojasiewicz

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-03T22:31:45.246058Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 30fef4aa-996e-4879-b67f-42b2100a1c84 · outbound

This paper cites an unresolved cited work.

Gradient Flow Equations for Deep Linear Neural Networks: A Survey from a Network Perspective Unresolved cited work

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-03T22:31:45.306279Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4b536f27-7549-4316-81f3-6c2a9452b34d · outbound

This paper cites Panageas and G.

Gradient Flow Equations for Deep Linear Neural Networks: A Survey from a Network Perspective Panageas and G

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-03T22:31:45.414900Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e994735d-1144-4dfd-813b-364f951c2019 · outbound

This paper cites Petersen and M.

Gradient Flow Equations for Deep Linear Neural Networks: A Survey from a Network Perspective Petersen and M

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-03T22:31:45.475462Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7840507f-2c20-49aa-aeca-088cc0e293f9 · outbound

This paper cites an unresolved cited work.

Gradient Flow Equations for Deep Linear Neural Networks: A Survey from a Network Perspective Unresolved cited work

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-03T22:31:45.581754Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4acc9f87-1908-455c-9781-340bb7cbbf59 · outbound

This paper cites an unresolved cited work.

Gradient Flow Equations for Deep Linear Neural Networks: A Survey from a Network Perspective Unresolved cited work

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-03T22:31:45.672965Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a2e2293f-1479-41cc-94d4-22fb8e704204 · outbound

This paper cites an unresolved cited work.

Gradient Flow Equations for Deep Linear Neural Networks: A Survey from a Network Perspective Unresolved cited work

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-03T22:31:45.771066Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8f3c6fc8-55a5-48d4-b686-94e346362e8e · outbound

This paper cites Tarmoun, G.

Gradient Flow Equations for Deep Linear Neural Networks: A Survey from a Network Perspective Tarmoun, G

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-03T22:31:45.813581Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d4089dd6-d012-41e0-8472-3d98516fe335 · outbound

This paper cites Trager, K.

Gradient Flow Equations for Deep Linear Neural Networks: A Survey from a Network Perspective Trager, K

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-03T22:31:45.816582Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation db06a5e3-77e9-4835-aa0f-44b7050711e1 · outbound

This paper cites Tsoularis and J.

Gradient Flow Equations for Deep Linear Neural Networks: A Survey from a Network Perspective Tsoularis and J

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-03T22:31:45.819489Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 60fe62f8-a5aa-46e4-a8e9-2fd835ba4789 · outbound

This paper cites an unresolved cited work.

Gradient Flow Equations for Deep Linear Neural Networks: A Survey from a Network Perspective Unresolved cited work

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-03T22:31:45.822097Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ab52ba7b-7d10-4647-8468-43a23a62fd08 · outbound

This paper cites an unresolved cited work.

Gradient Flow Equations for Deep Linear Neural Networks: A Survey from a Network Perspective Unresolved cited work

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-03T22:31:45.824734Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a1b80574-fb13-404e-9e1c-7bee559a0996 · outbound

This paper cites Zhang.Matrix analysis and applications.

Gradient Flow Equations for Deep Linear Neural Networks: A Survey from a Network Perspective Zhang.Matrix analysis and applications

Reference 44

Resolution: unresolved; no resolver link, observed 2026-08-03T22:31:45.827531Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e3e34262-a417-4d42-86be-e7940d97c997 · outbound

This paper cites Zhou and Y.

Gradient Flow Equations for Deep Linear Neural Networks: A Survey from a Network Perspective Zhou and Y

Reference 45

Resolution: unresolved; no resolver link, observed 2026-08-03T22:31:45.830040Z

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Unavailable: canonical work link unavailable.

Pith citing papers

Observation 4d035649-e330-4b82-bfcd-46a0b31f9932 · inbound

Statistical Inference on Gradient Flows cites this paper.

Statistical Inference on Gradient Flows Gradient Flow Equations for Deep Linear Neural Networks: A Survey from a Network Perspective

Reference 42

Resolution: metadata mismatch; local_arxiv, observed 2026-07-01T21:46:15.213876Z

Source-reported events for the cited work

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