Paper Citation Record · LEDGER

Neural Collapse Beyond the Unconstrained Features Model: Landscape, Dynamics, and Generalization in the Mean-Field Regime

As of 11 August 2026, this Paper Citation Record lists 38 of 38 outbound references and 2 inbound Pith citation observations for arXiv:2501.19104.

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

pith.paper-citation-record.v1
2501.19104 v2

Coverage vector

measured 38 of 38 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-09T21:24:35.582834Z

measured 40 of 40 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T15:29:35.159012Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-25T05:26:38.813772Z

Reference resolution

38 of 38 outbound references displayed

verified exact1
verified fuzzy8
unresolved29
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation facddc77-70a4-43e9-b7d4-e4f1ff6b6806 · outbound

This paper cites an unresolved cited work.

Neural Collapse Beyond the Unconstrained Features Model: Landscape, Dynamics, and Generalization in the Mean-Field Regime Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-09T21:24:36.159996Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 37913a20-c7d0-4828-a979-52d41934e924 · outbound

This paper cites A mean-field limit for certain deep neural networks.

Neural Collapse Beyond the Unconstrained Features Model: Landscape, Dynamics, and Generalization in the Mean-Field Regime A mean-field limit for certain deep neural networks

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-09T21:24:35.420928Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 772c200a-dbae-4585-91d2-768dc26da893 · outbound

This paper cites an unresolved cited work.

Neural Collapse Beyond the Unconstrained Features Model: Landscape, Dynamics, and Generalization in the Mean-Field Regime Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-09T21:24:36.145031Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 0b82c9db-5c56-4962-96f7-e4594d47b65b · outbound

This paper cites an unresolved cited work.

Neural Collapse Beyond the Unconstrained Features Model: Landscape, Dynamics, and Generalization in the Mean-Field Regime Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-09T21:24:36.130646Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 374aeb9c-0c03-4e19-8cda-a4a1c0a4c122 · outbound

This paper cites an unresolved cited work.

Neural Collapse Beyond the Unconstrained Features Model: Landscape, Dynamics, and Generalization in the Mean-Field Regime Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-09T21:24:36.115371Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 6a708eb0-4305-43fe-a339-70c763ee5fef · outbound

This paper cites an unresolved cited work.

Neural Collapse Beyond the Unconstrained Features Model: Landscape, Dynamics, and Generalization in the Mean-Field Regime Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-09T21:24:36.099226Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 8ff64099-66a4-46ad-b95e-846dde6907b3 · outbound

This paper cites an unresolved cited work.

Neural Collapse Beyond the Unconstrained Features Model: Landscape, Dynamics, and Generalization in the Mean-Field Regime Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-09T21:24:36.084570Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 511fe242-2311-4395-9d1b-becd20669bf1 · outbound

This paper cites Beyond Unconstrained Features: Neural Collapse for Shallow Neural Networks with General Data.

Neural Collapse Beyond the Unconstrained Features Model: Landscape, Dynamics, and Generalization in the Mean-Field Regime Beyond Unconstrained Features: Neural Collapse for Shallow Neural Networks with General Data

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-09T21:24:35.449870Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7db026d2-b3f6-45bf-bb31-9310bb6906b4 · outbound

This paper cites and Ling, S.

Neural Collapse Beyond the Unconstrained Features Model: Landscape, Dynamics, and Generalization in the Mean-Field Regime and Ling, S

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T21:24:36.070834Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation c47b7c24-e300-478d-a0d3-420a797a81fa · outbound

This paper cites an unresolved cited work.

Neural Collapse Beyond the Unconstrained Features Model: Landscape, Dynamics, and Generalization in the Mean-Field Regime Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-09T21:24:36.055738Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation b111fadc-fb32-4044-886b-78d85f45014d · outbound

This paper cites Limitations of Neural Collapse for Understanding Generalization in Deep Learning.

Neural Collapse Beyond the Unconstrained Features Model: Landscape, Dynamics, and Generalization in the Mean-Field Regime Limitations of Neural Collapse for Understanding Generalization in Deep Learning

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-09T21:24:35.463382Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a59f008f-03ec-4997-a7c0-933378b78735 · outbound

This paper cites Wide Neural Networks Trained with Weight Decay Provably Exhibit Neural Collapse.

Neural Collapse Beyond the Unconstrained Features Model: Landscape, Dynamics, and Generalization in the Mean-Field Regime Wide Neural Networks Trained with Weight Decay Provably Exhibit Neural Collapse

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-09T21:24:35.468351Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3eb17d98-eb76-425a-975e-8776e61d8de1 · outbound

This paper cites an unresolved cited work.

Neural Collapse Beyond the Unconstrained Features Model: Landscape, Dynamics, and Generalization in the Mean-Field Regime Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-09T21:24:36.040949Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 5b96c2f9-3421-456c-a5b9-77a5c89450c8 · outbound

This paper cites and Suzuki, T.

Neural Collapse Beyond the Unconstrained Features Model: Landscape, Dynamics, and Generalization in the Mean-Field Regime and Suzuki, T

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-09T21:24:35.477333Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8c401641-052c-494c-b61a-d14bf05af1f5 · outbound

This paper cites an unresolved cited work.

Neural Collapse Beyond the Unconstrained Features Model: Landscape, Dynamics, and Generalization in the Mean-Field Regime Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-09T21:24:36.015248Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 9daebaab-df36-4dac-812c-b8cc2614f96f · outbound

This paper cites Can Kernel Methods Explain How the Data Affects Neural Collapse?.

Neural Collapse Beyond the Unconstrained Features Model: Landscape, Dynamics, and Generalization in the Mean-Field Regime Can Kernel Methods Explain How the Data Affects Neural Collapse?

Reference 16

Resolution: verified exact; local_arxiv, observed 2026-08-09T21:24:35.640761Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 00ff6e13-259e-4e56-991f-bf2e09f3f56c · outbound

This paper cites an unresolved cited work.

Neural Collapse Beyond the Unconstrained Features Model: Landscape, Dynamics, and Generalization in the Mean-Field Regime Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-09T21:24:35.999780Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 636c4c86-73c1-43f4-a41e-fc491ddb58d0 · outbound

This paper cites an unresolved cited work.

Neural Collapse Beyond the Unconstrained Features Model: Landscape, Dynamics, and Generalization in the Mean-Field Regime Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-09T21:24:35.984302Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation f1bf084e-2365-4cc0-9998-d75a7beb1567 · outbound

This paper cites an unresolved cited work.

Neural Collapse Beyond the Unconstrained Features Model: Landscape, Dynamics, and Generalization in the Mean-Field Regime Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-09T21:24:35.970036Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 39d569f7-4c08-4e0a-b996-520df709a2d5 · outbound

This paper cites an unresolved cited work.

Neural Collapse Beyond the Unconstrained Features Model: Landscape, Dynamics, and Generalization in the Mean-Field Regime Unresolved cited work

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-09T21:24:35.504555Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6125fd8f-df4a-4cd6-86ac-81f581d33d56 · outbound

This paper cites G., Parshall, H., and Pi, J.

Neural Collapse Beyond the Unconstrained Features Model: Landscape, Dynamics, and Generalization in the Mean-Field Regime G., Parshall, H., and Pi, J

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T21:24:35.945709Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 15b5ca98-e13a-4696-856c-1f375c8594bc · outbound

This paper cites and Pham, H.

Neural Collapse Beyond the Unconstrained Features Model: Landscape, Dynamics, and Generalization in the Mean-Field Regime and Pham, H

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T21:24:35.931165Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 08905c71-5231-4c32-b8f1-4bce057247f3 · outbound

This paper cites an unresolved cited work.

Neural Collapse Beyond the Unconstrained Features Model: Landscape, Dynamics, and Generalization in the Mean-Field Regime Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-09T21:24:35.916206Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 78b89486-5851-4331-be9a-daadae35b059 · outbound

This paper cites Towards Understanding Neural Collapse: The Effects of Batch Normalization and Weight Decay.

Neural Collapse Beyond the Unconstrained Features Model: Landscape, Dynamics, and Generalization in the Mean-Field Regime Towards Understanding Neural Collapse: The Effects of Batch Normalization and Weight Decay

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-09T21:24:35.522082Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1db8fc0e-a688-45a5-860e-e8adb872d0d9 · outbound

This paper cites an unresolved cited work.

Neural Collapse Beyond the Unconstrained Features Model: Landscape, Dynamics, and Generalization in the Mean-Field Regime Unresolved cited work

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-09T21:24:35.526806Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 32e1e3e9-815a-48d8-aa78-0c16e9feb1d5 · outbound

This paper cites an unresolved cited work.

Neural Collapse Beyond the Unconstrained Features Model: Landscape, Dynamics, and Generalization in the Mean-Field Regime Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-09T21:24:35.891371Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation e9f60356-985e-4673-af4e-d676a59b96e8 · outbound

This paper cites an unresolved cited work.

Neural Collapse Beyond the Unconstrained Features Model: Landscape, Dynamics, and Generalization in the Mean-Field Regime Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-09T21:24:35.876459Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation d21d9492-1606-45ea-95bd-cd5e1d4ae311 · outbound

This paper cites an unresolved cited work.

Neural Collapse Beyond the Unconstrained Features Model: Landscape, Dynamics, and Generalization in the Mean-Field Regime Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-09T21:24:35.861913Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 0de71e0e-5ba7-4509-a537-422de41d2a8d · outbound

This paper cites and Mondelli, M.

Neural Collapse Beyond the Unconstrained Features Model: Landscape, Dynamics, and Generalization in the Mean-Field Regime and Mondelli, M

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T21:24:35.847197Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation fcd48c41-46da-4397-8e1b-609525a1b442 · outbound

This paper cites H., and Mondelli, M.

Neural Collapse Beyond the Unconstrained Features Model: Landscape, Dynamics, and Generalization in the Mean-Field Regime H., and Mondelli, M

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T21:24:35.832743Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 68b368e8-1e5e-4035-8fab-16e9c2e9bf7f · outbound

This paper cites an unresolved cited work.

Neural Collapse Beyond the Unconstrained Features Model: Landscape, Dynamics, and Generalization in the Mean-Field Regime Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-08-09T21:24:35.817718Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation ef9e4c5f-5151-4d91-a7a8-ed78b349f480 · outbound

This paper cites an unresolved cited work.

Neural Collapse Beyond the Unconstrained Features Model: Landscape, Dynamics, and Generalization in the Mean-Field Regime Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-09T21:24:35.801453Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 538ef980-d3ff-49cb-a45a-89297f65c963 · outbound

This paper cites an unresolved cited work.

Neural Collapse Beyond the Unconstrained Features Model: Landscape, Dynamics, and Generalization in the Mean-Field Regime Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-08-09T21:24:35.786895Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 4a9f8b92-20e2-4319-982c-5ce7a245a5f5 · outbound

This paper cites and Suzuki, T.

Neural Collapse Beyond the Unconstrained Features Model: Landscape, Dynamics, and Generalization in the Mean-Field Regime and Suzuki, T

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T21:24:35.772145Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation c3279ac9-979d-4f02-897a-94d84b86117e · outbound

This paper cites R., Vakilian, V., and Behnia, T.

Neural Collapse Beyond the Unconstrained Features Model: Landscape, Dynamics, and Generalization in the Mean-Field Regime R., Vakilian, V., and Behnia, T

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T21:24:35.757220Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 60b25b0d-c2f7-4501-a7ef-661311a5623d · outbound

This paper cites and Bruna, J.

Neural Collapse Beyond the Unconstrained Features Model: Landscape, Dynamics, and Generalization in the Mean-Field Regime and Bruna, J

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T21:24:35.742693Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 297aedf4-5f66-4026-8b1f-ab832d251e22 · outbound

This paper cites an unresolved cited work.

Neural Collapse Beyond the Unconstrained Features Model: Landscape, Dynamics, and Generalization in the Mean-Field Regime Unresolved cited work

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-09T21:24:35.578479Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 981697c0-5af0-410e-b0f6-b7c93ea0b681 · outbound

This paper cites an unresolved cited work.

Neural Collapse Beyond the Unconstrained Features Model: Landscape, Dynamics, and Generalization in the Mean-Field Regime Unresolved cited work

Reference 38

Resolution: unresolved; raw_fallback, observed 2026-08-09T21:24:35.717261Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Pith citing papers

Observation ab79a979-049e-4d91-bd42-7ffbd27e53ec · inbound

Neural Collapse is Globally Optimal in Deep Regularized ResNets and Transformers cites this paper.

Neural Collapse is Globally Optimal in Deep Regularized ResNets and Transformers Neural Collapse Beyond the Unconstrained Features Model: Landscape, Dynamics, and Generalization in the Mean-Field Regime

Reference 61

Resolution: unresolved; no resolver link, observed 2026-08-07T15:29:35.159012Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2c20049b-3096-479e-89de-56f68cdc6bdf · inbound

The Implicit Bias of Depth: From Neural Collapse to Softmax Codes cites this paper.

The Implicit Bias of Depth: From Neural Collapse to Softmax Codes Neural Collapse Beyond the Unconstrained Features Model: Landscape, Dynamics, and Generalization in the Mean-Field Regime

Reference 33

Resolution: verified exact; arxiv_id, observed 2026-05-25T05:26:38.816654Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.