Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-12T05:56:45.822238Z
Paper Citation Record · LEDGER
Geometry of fibers of the multiplication map of deep linear neural networks
As of 20 August 2026, this Paper Citation Record lists 48 of 48 outbound references and 1 inbound Pith citation observation for arXiv:2411.19920.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-01T21:52:15.993846Z
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
48 of 48 outbound references displayed
- verified exact1
- verified fuzzy29
- unresolved18
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 6e6031e2-0e3e-4bd5-bac6-4c80bf27a0bc · outbound
This paper cites an unresolved cited work.
Geometry of fibers of the multiplication map of deep linear neural networks Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T05:56:46.496440Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation c14de240-53eb-4877-be00-c93b93877e3e · outbound
This paper cites Atiyah and R.
Geometry of fibers of the multiplication map of deep linear neural networks Atiyah and R
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T05:56:46.486217Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation e9d6e19b-2e92-4979-8a9b-6667701546c9 · outbound
This paper cites A convergence analysis of gradient descent for deep linear neural networks, 2019.
Geometry of fibers of the multiplication map of deep linear neural networks A convergence analysis of gradient descent for deep linear neural networks, 2019
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T05:56:46.474927Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation e6ada616-8e1e-4cb2-8005-d1bda0d88eb6 · outbound
This paper cites Abeasis and A.
Geometry of fibers of the multiplication map of deep linear neural networks Abeasis and A
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T05:56:46.464132Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 37e8adc7-d813-4f1d-b78f-553d24b88a26 · outbound
This paper cites Abeasis and A.
Geometry of fibers of the multiplication map of deep linear neural networks Abeasis and A
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T05:56:46.453791Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 8d19b976-d398-4ed5-9f3b-260646eb25b0 · outbound
This paper cites Abeasis and A.
Geometry of fibers of the multiplication map of deep linear neural networks Abeasis and A
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T05:56:46.441163Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation d6ad8ddf-e395-43d0-a266-6a3f02d276cf · outbound
This paper cites Abeasis, A.
Geometry of fibers of the multiplication map of deep linear neural networks Abeasis, A
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T05:56:46.430179Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 65fdb64b-2783-4838-9e54-293edc71ddb7 · outbound
This paper cites Mehdi Achour, F.
Geometry of fibers of the multiplication map of deep linear neural networks Mehdi Achour, F
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T05:56:46.418611Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation d1e128ca-d890-411e-9516-3635c1e32304 · outbound
This paper cites an unresolved cited work.
Geometry of fibers of the multiplication map of deep linear neural networks Unresolved cited work
Reference 9
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T05:56:46.404657Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 394ad721-4eb2-4bdb-a1c3-d7740bf18719 · outbound
This paper cites an unresolved cited work.
Geometry of fibers of the multiplication map of deep linear neural networks Unresolved cited work
Reference 10
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T05:56:46.393638Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 7702f581-2d9c-44ee-8bdb-161679716273 · outbound
This paper cites an unresolved cited work.
Geometry of fibers of the multiplication map of deep linear neural networks Unresolved cited work
Reference 11
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T05:56:46.381796Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation d1ba1062-8b81-482c-b5c7-232a67e92238 · outbound
This paper cites an unresolved cited work.
Geometry of fibers of the multiplication map of deep linear neural networks Unresolved cited work
Reference 12
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T05:56:46.370744Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation e1e5745a-7de3-453e-bf0e-d4ac54b42a03 · outbound
This paper cites De Concini and E.
Geometry of fibers of the multiplication map of deep linear neural networks De Concini and E
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T05:56:46.359565Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 3a970b61-c737-4b68-8e7c-225f1aea5352 · outbound
This paper cites Conway and N.
Geometry of fibers of the multiplication map of deep linear neural networks Conway and N
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T05:56:46.348325Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation e72822a6-d230-4659-b8e8-9d2b6a5d3a0c · outbound
This paper cites an unresolved cited work.
Geometry of fibers of the multiplication map of deep linear neural networks Unresolved cited work
Reference 15
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T05:56:46.337981Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation a74559d8-5b74-4133-8e75-fffd60ca833b · outbound
This paper cites Feh\'er and R.
Geometry of fibers of the multiplication map of deep linear neural networks Feh\'er and R
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T05:56:46.326285Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 8f20ab56-4ab3-4806-94c4-c51fd3a8d41d · outbound
This paper cites an unresolved cited work.
Geometry of fibers of the multiplication map of deep linear neural networks Unresolved cited work
Reference 17
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T05:56:46.314436Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 567fdd56-e76d-445d-881a-00ddef3269cd · outbound
This paper cites Hoogland, G.
Geometry of fibers of the multiplication map of deep linear neural networks Hoogland, G
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T05:56:46.302619Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 471ce178-90c4-4c62-a8ec-afb59f2d2679 · outbound
This paper cites Jacot, F.
Geometry of fibers of the multiplication map of deep linear neural networks Jacot, F
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T05:56:46.292352Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 634b7484-5921-46cb-89a8-8117f3b1b971 · outbound
This paper cites Ji and M.
Geometry of fibers of the multiplication map of deep linear neural networks Ji and M
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T05:56:46.281751Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 368f733e-cbc7-4f8f-916f-df76995eaec7 · outbound
This paper cites Kawaguchi.
Geometry of fibers of the multiplication map of deep linear neural networks Kawaguchi
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T05:56:46.271197Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation d8244580-16b5-468e-ae5b-a12ce8882736 · outbound
This paper cites an unresolved cited work.
Geometry of fibers of the multiplication map of deep linear neural networks Unresolved cited work
Reference 22
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T05:56:46.259351Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 1b250a8c-181c-4c60-8096-7d164a91b376 · outbound
This paper cites Kirillov.
Geometry of fibers of the multiplication map of deep linear neural networks Kirillov
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T05:56:46.247796Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 7c48ce10-af9e-4d42-ab1a-45aadf2ce6b3 · outbound
This paper cites Knutson, E.
Geometry of fibers of the multiplication map of deep linear neural networks Knutson, E
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T05:56:46.236199Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 08b4ae60-60f1-4e54-8c62-e7ef91b25af2 · outbound
This paper cites Koll \'a r.
Geometry of fibers of the multiplication map of deep linear neural networks Koll \'a r
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T05:56:46.225449Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 48582d38-f4a4-4fd4-8b5f-803ebf997f4f · outbound
This paper cites Kinser and J.
Geometry of fibers of the multiplication map of deep linear neural networks Kinser and J
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T05:56:46.214141Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation a9446114-7c12-499c-8590-7d8d841d5d7b · outbound
This paper cites Koncki and R.
Geometry of fibers of the multiplication map of deep linear neural networks Koncki and R
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T05:56:46.203200Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 2ca3ab17-76dc-40df-a6a8-e9b0572c1042 · outbound
This paper cites an unresolved cited work.
Geometry of fibers of the multiplication map of deep linear neural networks Unresolved cited work
Reference 28
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T05:56:46.193129Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation e2b19d99-fb40-4ce7-9e42-df13ec79bf4e · outbound
This paper cites an unresolved cited work.
Geometry of fibers of the multiplication map of deep linear neural networks Unresolved cited work
Reference 29
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T05:56:46.182797Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 4027a8dd-cb71-4bfb-883a-f39549d65e96 · outbound
This paper cites an unresolved cited work.
Geometry of fibers of the multiplication map of deep linear neural networks Unresolved cited work
Reference 30
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T05:56:46.172469Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 59d63d30-7fef-4a72-9d11-142da6df51a3 · outbound
This paper cites Lu and K.
Geometry of fibers of the multiplication map of deep linear neural networks Lu and K
Reference 31
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T05:56:46.162899Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation cec17de8-ab65-4908-afcd-e2c421f0a2cc · outbound
This paper cites Lakshmibai and Peter Magyar.
Geometry of fibers of the multiplication map of deep linear neural networks Lakshmibai and Peter Magyar
Reference 32
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T05:56:46.153009Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 584d8f88-64b1-4f15-99e6-4364d740f485 · outbound
This paper cites Marion and Ch.
Geometry of fibers of the multiplication map of deep linear neural networks Marion and Ch
Reference 33
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T05:56:46.142366Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 3a723c20-7fbe-407d-86cd-4a0e00c3466c · outbound
This paper cites Musili and C.
Geometry of fibers of the multiplication map of deep linear neural networks Musili and C
Reference 34
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T05:56:46.132672Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation aab6d94c-2f8d-4ffa-8103-327b9d70ace8 · outbound
This paper cites an unresolved cited work.
Geometry of fibers of the multiplication map of deep linear neural networks Unresolved cited work
Reference 35
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T05:56:46.120661Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 54a50791-103e-48a7-9db1-af164e8b3ba5 · outbound
This paper cites an unresolved cited work.
Geometry of fibers of the multiplication map of deep linear neural networks Unresolved cited work
Reference 36
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T05:56:46.109652Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation e8f3431c-a733-48c3-941c-b690e68ccbd8 · outbound
This paper cites an unresolved cited work.
Geometry of fibers of the multiplication map of deep linear neural networks Unresolved cited work
Reference 37
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T05:56:46.099153Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation cde55210-33f7-46ce-8afb-3c06b308688b · outbound
This paper cites Rim\'anyi, A.
Geometry of fibers of the multiplication map of deep linear neural networks Rim\'anyi, A
Reference 38
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T05:56:46.088816Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation f26a7e83-9b69-4f9a-88a9-501798aeb21a · outbound
This paper cites The Geometry of the Set of Equivalent Linear Neural Networks.
Geometry of fibers of the multiplication map of deep linear neural networks The Geometry of the Set of Equivalent Linear Neural Networks
Reference 39
- Resolution
- verified exact
- local_arxiv, observed 2026-08-12T05:56:45.963292Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation dd689dab-2346-40c8-b8d6-628f8ba1f0c1 · outbound
This paper cites an unresolved cited work.
Geometry of fibers of the multiplication map of deep linear neural networks Unresolved cited work
Reference 40
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T05:56:46.078688Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation fec74a34-0123-414d-801e-9778262c78ca · outbound
This paper cites Trager, K.
Geometry of fibers of the multiplication map of deep linear neural networks Trager, K
Reference 41
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T05:56:46.066142Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation bfc1798d-a626-4a08-a9f7-df8b6dc93100 · outbound
This paper cites an unresolved cited work.
Geometry of fibers of the multiplication map of deep linear neural networks Unresolved cited work
Reference 42
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T05:56:46.053684Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation e3cb531c-e3d2-4f2f-b435-019c2bc36367 · outbound
This paper cites Watanabe.
Geometry of fibers of the multiplication map of deep linear neural networks Watanabe
Reference 43
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T05:56:46.041973Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 087c2874-6341-40c9-a4dd-ffb87b02bd2c · outbound
This paper cites Watanabe.
Geometry of fibers of the multiplication map of deep linear neural networks Watanabe
Reference 44
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T05:56:46.028421Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 98d5bbd1-b45f-4d8b-aac5-e30c809249b4 · outbound
This paper cites Recent advances in algebraic geometry and bayesian statistics.
Geometry of fibers of the multiplication map of deep linear neural networks Recent advances in algebraic geometry and bayesian statistics
Reference 45
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T05:56:46.016209Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation cf960620-3515-439f-968f-7ead75e461f1 · outbound
This paper cites an unresolved cited work.
Geometry of fibers of the multiplication map of deep linear neural networks Unresolved cited work
Reference 46
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T05:56:46.003607Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 62d0f084-ba82-480d-a0ab-2829a4468e94 · outbound
This paper cites an unresolved cited work.
Geometry of fibers of the multiplication map of deep linear neural networks Unresolved cited work
Reference 47
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T05:56:45.990434Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 5212a2d4-eb60-4ba0-a74d-7d990f3797cc · outbound
This paper cites Ziyin, B.
Geometry of fibers of the multiplication map of deep linear neural networks Ziyin, B
Reference 48
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T05:56:45.976730Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Pith citing papers
Observation 6be1e572-bd6a-4f81-9504-31e5f7c50719 · inbound
Degenerations of multisingularities and Artin algebras cites this paper.
Degenerations of multisingularities and Artin algebras Geometry of fibers of the multiplication map of deep linear neural networks
Reference 7
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T21:52:15.993846Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.