Pith. sign in

Paper Citation Record · LEDGER

Neural Collapse is Globally Optimal in Deep Regularized ResNets and Transformers

As of 8 August 2026, this Paper Citation Record lists 76 of 76 outbound references and 2 inbound Pith citation observations for arXiv:2505.15239.

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

pith.paper-citation-record.v1
2505.15239 v1

Coverage vector

measured 76 of 76 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T15:29:36.563390Z

measured 78 of 78 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 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-26T05:14:07.208255Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T13:29:50.955298Z

Reference resolution

76 of 76 outbound references displayed

  • verified exact0
  • verified fuzzy53
  • unresolved23
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 9846464d-742d-4d8e-b572-876656df8420 · outbound

This paper cites The prevalence of neural collapse in neural multivariate regression.

Neural Collapse is Globally Optimal in Deep Regularized ResNets and Transformers The prevalence of neural collapse in neural multivariate regression

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:29:47.556506Z

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.

source=pdf_text observed=2026-08-07T15:29:29.064592Z digest=sha256:b70966db645fa67d810c4dcfcb8cc286c1378e722471e835b63e8d0234222ea2

Observation 7ccc5928-e426-4889-954a-e48127cac92e · outbound

This paper cites Intrinsic dimension of data representa- tions in deep neural networks.

Neural Collapse is Globally Optimal in Deep Regularized ResNets and Transformers Intrinsic dimension of data representa- tions in deep neural networks

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:29:47.334484Z

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.

source=pdf_text observed=2026-08-07T15:29:29.113110Z digest=sha256:bce5b2e379af47b6b8616ba57858f0324b3d40e6d39d889d95852800433c8e73

Observation 2dd94fbe-02ae-4e18-b570-83b3d498e3a3 · outbound

This paper cites Average gradient outer product as a mechanism for deep neural collapse.

Neural Collapse is Globally Optimal in Deep Regularized ResNets and Transformers Average gradient outer product as a mechanism for deep neural collapse

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:29:47.121085Z

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.

source=pdf_text observed=2026-08-07T15:29:29.176334Z digest=sha256:b9d00fa6be82f705524f2636540b069a7f418af3e601a6a3c8fd8683b122cb51

Observation 9620f95c-5bdf-4ab2-9d11-a3478b435982 · outbound

This paper cites On the inductive bias of infinite-depth ResNets and the bottleneck rank.

Neural Collapse is Globally Optimal in Deep Regularized ResNets and Transformers On the inductive bias of infinite-depth ResNets and the bottleneck rank

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-07T15:29:29.224880Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T15:29:29.224880Z digest=sha256:1755c523ea6609e4565feb9ff672d69315582774a4edabcb4f614c68556bb441

Observation e03e6101-0f75-4b05-90d9-6549e8c98b52 · outbound

This paper cites Prevalence of simplex compression in adversarial deep neural networks.

Neural Collapse is Globally Optimal in Deep Regularized ResNets and Transformers Prevalence of simplex compression in adversarial deep neural networks

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:29:46.903816Z

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.

source=pdf_text observed=2026-08-07T15:29:29.290473Z digest=sha256:7db53cd2778aa77a23217ccf9856e858efeb303a4174e0c143bbb4151ddddc2e

Observation 2a3bc718-4c7b-4cf3-9e52-d922c78dd334 · outbound

This paper cites Perfectly balanced: Improving transfer and robustness of supervised contrastive learning.

Neural Collapse is Globally Optimal in Deep Regularized ResNets and Transformers Perfectly balanced: Improving transfer and robustness of supervised contrastive learning

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:29:46.666628Z

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.

source=pdf_text observed=2026-08-07T15:29:29.387395Z digest=sha256:0276f77bcf56f106496d418915e31883ed7ae9b3cd816274e77d3d56a9f9868b

Observation 21334e3b-ce2f-4d37-9a51-11da4400e550 · outbound

This paper cites Neural collapse for cross-entropy class-imbalanced learning with unconstrained relu features model.

Neural Collapse is Globally Optimal in Deep Regularized ResNets and Transformers Neural collapse for cross-entropy class-imbalanced learning with unconstrained relu features model

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:29:46.514568Z

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.

source=pdf_text observed=2026-08-07T15:29:29.444031Z digest=sha256:b37dca7a72b0d2164c104012ab953b0e227e336588ad7c6fc3edba5e09150bce

Observation 3e379a38-d6b1-44ec-aa9e-521da9868734 · outbound

This paper cites Neural collapse in deep linear network: From balanced to imbalanced data.

Neural Collapse is Globally Optimal in Deep Regularized ResNets and Transformers Neural collapse in deep linear network: From balanced to imbalanced data

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:29:46.411659Z

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.

source=pdf_text observed=2026-08-07T15:29:29.509111Z digest=sha256:e1fa0d5aacd8c44e736cbbd84f48c700e62400f4d59cca2605094c88c5867daf

Observation 4394543c-c6e3-4542-a0c6-a9fb201253b0 · outbound

This paper cites Improving self-supervised learning by characterizing idealized representations.

Neural Collapse is Globally Optimal in Deep Regularized ResNets and Transformers Improving self-supervised learning by characterizing idealized representations

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:29:46.287477Z

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.

source=pdf_text observed=2026-08-07T15:29:29.559945Z digest=sha256:0b07b17801cd3a3d1e0a308645e5715d12f331aab92af2b6c893652e7d961d50

Observation 7cdb0dad-37b9-492e-a2bb-97d8d73f8b59 · outbound

This paper cites Exploring deep neural networks via layer-peeled model: Minority collapse in imbalanced training.

Neural Collapse is Globally Optimal in Deep Regularized ResNets and Transformers Exploring deep neural networks via layer-peeled model: Minority collapse in imbalanced training

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:29:46.164607Z

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.

source=pdf_text observed=2026-08-07T15:29:29.641400Z digest=sha256:13676d777d3c4847f436d8133b8019b2b0530da5a9d9f5a4d6ffaeaac1e49552

Observation 5e8a58ee-250e-42b0-a617-bf6aed21d6be · outbound

This paper cites On the Implicit Bias Towards Minimal Depth of Deep Neural Networks.

Neural Collapse is Globally Optimal in Deep Regularized ResNets and Transformers On the Implicit Bias Towards Minimal Depth of Deep Neural Networks

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-07T15:29:29.712149Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T15:29:29.712149Z digest=sha256:26372c49d8b9adbdc753eb83eacd6bd8b53467ece3469985ad597e2fc4fbace1

Observation db528e66-e94e-4242-bc36-c18ebbe0ea26 · outbound

This paper cites Improved generalization bounds for transfer learning via neural collapse.

Neural Collapse is Globally Optimal in Deep Regularized ResNets and Transformers Improved generalization bounds for transfer learning via neural collapse

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:29:45.954980Z

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.

source=pdf_text observed=2026-08-07T15:29:29.775724Z digest=sha256:0963f2e5abf4799cf6af47a5634cb256530f216afe7bf4d8f7502a2d8a777844

Observation dfaa063c-7b16-4752-aa7d-a13bf43e6b92 · outbound

This paper cites The persistence of neural collapse despite low-rank bias: An analytic perspective through unconstrained features.

Neural Collapse is Globally Optimal in Deep Regularized ResNets and Transformers The persistence of neural collapse despite low-rank bias: An analytic perspective through unconstrained features

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-07T15:29:29.831436Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T15:29:29.831436Z digest=sha256:1ba25d5dfa821e5fbcc4deb813c1e38c9e694e13648aad51141db410ebab744f

Observation f832f40e-fc36-4df6-bc58-200ebd890fdc · outbound

This paper cites Unifying Low Dimensional Spectra in Deep Learning.

Neural Collapse is Globally Optimal in Deep Regularized ResNets and Transformers Unifying Low Dimensional Spectra in Deep Learning

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-07T15:29:29.876998Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T15:29:29.876998Z digest=sha256:b13dd455996bde1ff272f99ffaf5ace5a8f2d612eda7122c8c1edbebfba3b502

Observation ccba16ae-256f-47d9-8c63-53f1619abacd · outbound

This paper cites Linking neural collapse and l2 normalization with improved out-of-distribution detection in deep neural networks.

Neural Collapse is Globally Optimal in Deep Regularized ResNets and Transformers Linking neural collapse and l2 normalization with improved out-of-distribution detection in deep neural networks

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:29:45.711747Z

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.

source=pdf_text observed=2026-08-07T15:29:29.908467Z digest=sha256:661bd04163beb381cc0af46d17972ba80105f3406774f78fc4132954f356e2f6

Observation 2c64da8d-02ff-49c3-8590-4e3b215436dc · outbound

This paper cites an unresolved cited work.

Neural Collapse is Globally Optimal in Deep Regularized ResNets and Transformers Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-07T15:29:45.491309Z

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.

source=pdf_text observed=2026-08-07T15:29:29.947527Z digest=sha256:e4240302feb9e0e378cba64ad19922b38180c8c50fee8b39c1a7bfebd85676ee

Observation 7429ce08-b440-4031-8366-43f723dd8ad2 · outbound

This paper cites A law of data separation in deep learning.

Neural Collapse is Globally Optimal in Deep Regularized ResNets and Transformers A law of data separation in deep learning

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:29:45.307511Z

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.

source=pdf_text observed=2026-08-07T15:29:30.066059Z digest=sha256:479ee7b408883620528340643a16f077910ee4ca044a11e1090a955ec7e855e7

Observation 6293ab33-46e6-4194-813d-fce01fd003a3 · outbound

This paper cites Deep residual learning for image recognition.

Neural Collapse is Globally Optimal in Deep Regularized ResNets and Transformers Deep residual learning for image recognition

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-07T15:29:30.175606Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T15:29:30.175606Z digest=sha256:4a5918cb2def0f245b1180df2306a7d484ecdab9e1c83d95bb7948c580b0d04d

Observation 3db3b0c3-f332-40ad-a562-a0a2703b1ff9 · outbound

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

Neural Collapse is Globally Optimal in Deep Regularized ResNets and Transformers Beyond Unconstrained Features: Neural Collapse for Shallow Neural Networks with General Data

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-07T15:29:30.299550Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T15:29:30.299550Z digest=sha256:6b62dabcfb761c63e9e6a50b17ec5f6d47f5c0b2b759b5b3587c22b89312d73f

Observation d16c4d09-0784-4eff-ac3c-85571b240f34 · outbound

This paper cites Neural collapse for unconstrained feature model under cross-entropy loss with imbalanced data.

Neural Collapse is Globally Optimal in Deep Regularized ResNets and Transformers Neural collapse for unconstrained feature model under cross-entropy loss with imbalanced data

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:29:45.119526Z

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.

source=pdf_text observed=2026-08-07T15:29:30.464264Z digest=sha256:f9b5218bdac8656279ddb9699cc5d231facbad268f8f5c5e010b3d4c691cf8c5

Observation 939b386f-89f5-4701-a54f-98a2be89a145 · outbound

This paper cites an unresolved cited work.

Neural Collapse is Globally Optimal in Deep Regularized ResNets and Transformers Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-07T15:29:44.877279Z

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.

source=pdf_text observed=2026-08-07T15:29:30.590534Z digest=sha256:40f955b23882604e7c5ff203f7a8cf1ce7874a9313a341e35a05dc3b9e6afbad

Observation eebb8d6c-bf21-47dd-b826-7b500aa00e97 · outbound

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

Neural Collapse is Globally Optimal in Deep Regularized ResNets and Transformers Limitations of Neural Collapse for Understanding Generalization in Deep Learning

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-07T15:29:30.744223Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T15:29:30.744223Z digest=sha256:6eef0fc28a4d69a37b6e2067ca565a19c832b5c54f251d73a62ce9bd84a89656

Observation 31d5559e-af1d-4483-a192-12518140dd09 · outbound

This paper cites Wide neural networks trained with weight decay provably exhibit neural collapse.

Neural Collapse is Globally Optimal in Deep Regularized ResNets and Transformers Wide neural networks trained with weight decay provably exhibit neural collapse

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:29:44.584104Z

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.

source=pdf_text observed=2026-08-07T15:29:30.866331Z digest=sha256:cbfbe0a771947a3014283a714d5f1abcd1ed1786fca915f06215890462b591ad

Observation dd2a58c7-d577-4790-bd14-983b0c63d1af · outbound

This paper cites An unconstrained layer-peeled perspective on neural collapse.

Neural Collapse is Globally Optimal in Deep Regularized ResNets and Transformers An unconstrained layer-peeled perspective on neural collapse

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:29:44.359893Z

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.

source=pdf_text observed=2026-08-07T15:29:30.974018Z digest=sha256:6fcbc245e74142565f444366200fa3a868d013690e34c555aa8babc650e0f92e

Observation 95e9506b-2a56-4f2b-a797-f58c7535ab7b · outbound

This paper cites Generalized neural collapse for a large number of classes.

Neural Collapse is Globally Optimal in Deep Regularized ResNets and Transformers Generalized neural collapse for a large number of classes

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:29:44.135518Z

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.

source=pdf_text observed=2026-08-07T15:29:31.139944Z digest=sha256:7f7dd0cd7038e61a8c6729dadc919695d73684a79059eabb0d5d7e535561f85b

Observation 3de5d767-7767-468f-bd23-5e7dcac32d66 · outbound

This paper cites How does information bottleneck help deep learning? In International Conference on Machine Learning (ICML), 2023.

Neural Collapse is Globally Optimal in Deep Regularized ResNets and Transformers How does information bottleneck help deep learning? In International Conference on Machine Learning (ICML), 2023

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:29:44.011827Z

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.

source=pdf_text observed=2026-08-07T15:29:31.329097Z digest=sha256:219a740169e9fcf37aaa2dfa3425c1fee0f4e7aab61a42234dca984d08412095

Observation e77066bc-5b65-4700-8835-0da8deb74e0c · outbound

This paper cites Kernel vs.

Neural Collapse is Globally Optimal in Deep Regularized ResNets and Transformers Kernel vs

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:29:43.876796Z

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.

source=pdf_text observed=2026-08-07T15:29:31.475978Z digest=sha256:e51a40c025cf3f9041cb2aed4b3f8fc98b580d0cd1cfd5283df3a82bb6a6e84d

Observation 6eb0f9a2-9621-4155-baf9-f04d2b268e2f · outbound

This paper cites A neural collapse perspective on feature evolution in graph neural networks.

Neural Collapse is Globally Optimal in Deep Regularized ResNets and Transformers A neural collapse perspective on feature evolution in graph neural networks

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:29:43.728014Z

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.

source=pdf_text observed=2026-08-07T15:29:31.632591Z digest=sha256:5f0abbaca1b5168b25147b31ac231330d336745309323cc2a7077931366a97c7

Observation 3fc860bb-6aff-4521-b125-7a851facb8c4 · outbound

This paper cites Learning multiple layers of features from tiny images.

Neural Collapse is Globally Optimal in Deep Regularized ResNets and Transformers Learning multiple layers of features from tiny images

Reference 29

Resolution
unresolved
no resolver link, observed 2026-08-07T15:29:31.824940Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T15:29:31.824940Z digest=sha256:2b509b8186b02be0843535fcb75e5089b32650ae408194f7fdfc1f5a76ed9076

Observation ca3f7dae-353b-425e-adec-ff1c975b5a52 · outbound

This paper cites The asymmetric maximum margin bias of quasi-homogeneous neural networks.

Neural Collapse is Globally Optimal in Deep Regularized ResNets and Transformers The asymmetric maximum margin bias of quasi-homogeneous neural networks

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:29:43.606136Z

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.

source=pdf_text observed=2026-08-07T15:29:31.963051Z digest=sha256:303415cef011a6de751e6113e658d4a551698023c6d13ccdb938e507385ac8c8

Observation a02fe1e5-383b-47f1-acb0-51ba6dfd1a38 · outbound

This paper cites Gradient-based learning applied to document recognition.

Neural Collapse is Globally Optimal in Deep Regularized ResNets and Transformers Gradient-based learning applied to document recognition

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:29:43.459075Z

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.

source=pdf_text observed=2026-08-07T15:29:32.143546Z digest=sha256:b734391e824be810c446b36b120612f31f3f93ee2eba3d5e9f381ad77323b7a3

Observation 14c29c2a-36af-41f1-930e-040e2d07a75d · outbound

This paper cites Principled and efficient transfer learning of deep models via neural collapse.

Neural Collapse is Globally Optimal in Deep Regularized ResNets and Transformers Principled and efficient transfer learning of deep models via neural collapse

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:29:43.303949Z

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.

source=pdf_text observed=2026-08-07T15:29:32.248103Z digest=sha256:d7c004c0fdf5f5585eb171105ff22fe7fe08a64c7f1b1d56a56ee76f9aac4081

Observation a6b8e422-77a0-433e-9b69-b297c99e40b0 · outbound

This paper cites No fear of classifier biases: Neural collapse inspired federated learning with synthetic and fixed classifier.

Neural Collapse is Globally Optimal in Deep Regularized ResNets and Transformers No fear of classifier biases: Neural collapse inspired federated learning with synthetic and fixed classifier

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:29:43.170078Z

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.

source=pdf_text observed=2026-08-07T15:29:32.405422Z digest=sha256:8e5af4872cc8ca0bd53e64f6623448a385b6487c8af1076e0056739aba701827

Observation e8ceb907-d959-4c83-84ae-6ee15baf072c · outbound

This paper cites Inducing neural collapse to a fixed hierarchy-aware frame for reducing mistake severity.

Neural Collapse is Globally Optimal in Deep Regularized ResNets and Transformers Inducing neural collapse to a fixed hierarchy-aware frame for reducing mistake severity

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:29:43.031231Z

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.

source=pdf_text observed=2026-08-07T15:29:32.509972Z digest=sha256:866d5713a0563512c241d75fe22f8d5bd76571af63b34bd9f022de61e062cad4

Observation d6d92af6-f3c9-474d-aba8-bdb631de011b · outbound

This paper cites Spurious feature diversification improves out-of-distribution generalization.

Neural Collapse is Globally Optimal in Deep Regularized ResNets and Transformers Spurious feature diversification improves out-of-distribution generalization

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:29:42.888402Z

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.

source=pdf_text observed=2026-08-07T15:29:32.666662Z digest=sha256:c1dc4cfa76b87c74c2f8efc38f84fed4c93d315a18daade6f0ec0cabb60bdda2

Observation 523d4705-37f1-4040-bbad-0a13b2eec36d · outbound

This paper cites The Exploration of Neural Collapse under Imbalanced Data.

Neural Collapse is Globally Optimal in Deep Regularized ResNets and Transformers The Exploration of Neural Collapse under Imbalanced Data

Reference 36

Resolution
unresolved
no resolver link, observed 2026-08-07T15:29:32.821539Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T15:29:32.821539Z digest=sha256:05fb6b74906d05848ccec458cde1335987158d933dae7162e7b72fd406d64425

Observation 3f5ddd31-a05b-4848-ae09-16254c80dae8 · outbound

This paper cites Gen: Pushing the limits of softmax-based out-of-distribution detection.

Neural Collapse is Globally Optimal in Deep Regularized ResNets and Transformers Gen: Pushing the limits of softmax-based out-of-distribution detection

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:29:42.745762Z

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.

source=pdf_text observed=2026-08-07T15:29:32.927621Z digest=sha256:93563b211b4402616fd888d80a4d5828745b7622badd5d98f0a79490029fa512

Observation a152b90a-039d-47f3-9e2a-1987590ecd8b · outbound

This paper cites Inducing neural collapse in deep long-tailed learning.

Neural Collapse is Globally Optimal in Deep Regularized ResNets and Transformers Inducing neural collapse in deep long-tailed learning

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:29:42.550085Z

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.

source=pdf_text observed=2026-08-07T15:29:33.055826Z digest=sha256:ac6e971235f1520b9b7337c17b6949bc0f0a9a08af5d7499e737cbc44e4f4748

Observation abac31a4-a14c-4c81-a43d-3f40f25d32e0 · outbound

This paper cites Neural collapse under cross-entropy loss.

Neural Collapse is Globally Optimal in Deep Regularized ResNets and Transformers Neural collapse under cross-entropy loss

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:29:42.394658Z

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.

source=pdf_text observed=2026-08-07T15:29:33.142770Z digest=sha256:9391714b8199b63e5969cafd4349cc640e05e408675eab95e87628bf713ef3a6

Observation e1d32ba0-df8b-4c4e-a1fd-4ce29b4c8092 · outbound

This paper cites Do we need neural collapse? Learning diverse features for fine-grained and long-tail classification.

Neural Collapse is Globally Optimal in Deep Regularized ResNets and Transformers Do we need neural collapse? Learning diverse features for fine-grained and long-tail classification

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:29:42.244077Z

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.

source=pdf_text observed=2026-08-07T15:29:33.219860Z digest=sha256:77e6a167b9feb4181c61df07ffe43a8b567ef67e4eb2a2b0beb18e5810fe6b2c

Observation b99f69e4-ed57-429c-9eae-797d5c8a9728 · outbound

This paper cites The tunnel effect: Building data representations in deep neural networks.

Neural Collapse is Globally Optimal in Deep Regularized ResNets and Transformers The tunnel effect: Building data representations in deep neural networks

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:29:42.109245Z

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.

source=pdf_text observed=2026-08-07T15:29:33.306908Z digest=sha256:cd02903f67f7aadaf2977cdc50131d6dcd723d1d8ec77198a160e851b600b925

Observation a629c04d-22a1-41a1-b59d-de5905eeb709 · outbound

This paper cites Neural collapse with unconstrained features.

Neural Collapse is Globally Optimal in Deep Regularized ResNets and Transformers Neural collapse with unconstrained features

Reference 42

Resolution
unresolved
no resolver link, observed 2026-08-07T15:29:33.405386Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T15:29:33.405386Z digest=sha256:94172849931115ce09e3c313360f06ab5cd6f1ef25c7aa9bd8d1ec4a14e787be

Observation ab7ba2b4-ffb4-4ad1-aead-06618ab8d8c5 · outbound

This paper cites an unresolved cited work.

Neural Collapse is Globally Optimal in Deep Regularized ResNets and Transformers Unresolved cited work

Reference 43

Resolution
unresolved
raw_fallback, observed 2026-08-07T15:29:41.983244Z

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.

source=pdf_text observed=2026-08-07T15:29:33.497099Z digest=sha256:94d7e8e17ce1216820bf1e66e4e14e156849db36f08ecf8e4ad7bad443661f06

Observation 8d6ba635-3af8-4687-9108-886f564e3c55 · outbound

This paper cites Neural collapse in deep homogeneous classifiers and the role of weight decay.

Neural Collapse is Globally Optimal in Deep Regularized ResNets and Transformers Neural collapse in deep homogeneous classifiers and the role of weight decay

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:29:41.846414Z

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.

source=pdf_text observed=2026-08-07T15:29:33.603044Z digest=sha256:5edb4aae529961ee9dfbbdff36557d47e1233115695bb759adc69d5d7e8fbe8c

Observation 91431ad9-9f58-409b-80d1-eec46cf3dacd · outbound

This paper cites Feature learning in deep classifiers through intermediate neural collapse.

Neural Collapse is Globally Optimal in Deep Regularized ResNets and Transformers Feature learning in deep classifiers through intermediate neural collapse

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:29:41.754223Z

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.

source=pdf_text observed=2026-08-07T15:29:33.684784Z digest=sha256:c41307db95e24d614b2c698b6075f1c8ef00a7a45e8af8af89cf8f688febf6cc

Observation fc0e9a81-895a-48b6-bd0c-e95cc383b3b5 · outbound

This paper cites Neural (tangent kernel) collapse.

Neural Collapse is Globally Optimal in Deep Regularized ResNets and Transformers Neural (tangent kernel) collapse

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:29:41.608509Z

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.

source=pdf_text observed=2026-08-07T15:29:33.778875Z digest=sha256:32c01d9c191dfb14d02062461e243f6a3e0a324f4507e5538b3924365fbbacb0

Observation a5cc1223-59e6-4f3d-83c2-d896ddca5169 · outbound

This paper cites On the robustness of neural collapse and the neural collapse of robustness.

Neural Collapse is Globally Optimal in Deep Regularized ResNets and Transformers On the robustness of neural collapse and the neural collapse of robustness

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:29:41.464450Z

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.

source=pdf_text observed=2026-08-07T15:29:33.876027Z digest=sha256:836dd71c5a7257a28fa15696d96c3a92411a54d7448fcc1a939f708573095ffe

Observation 2eda8b2e-1948-45ec-a9ed-aa93fb6ed219 · outbound

This paper cites an unresolved cited work.

Neural Collapse is Globally Optimal in Deep Regularized ResNets and Transformers Unresolved cited work

Reference 48

Resolution
unresolved
raw_fallback, observed 2026-08-07T15:29:41.320640Z

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.

source=pdf_text observed=2026-08-07T15:29:33.942285Z digest=sha256:f5c011df51af295b4a1b8f4bba1063f60e0748b0b74332a2aa9eb6a077c91b02

Observation 9598fe2e-6b3b-488d-8d2c-ab62680dec1b · outbound

This paper cites an unresolved cited work.

Neural Collapse is Globally Optimal in Deep Regularized ResNets and Transformers Unresolved cited work

Reference 49

Resolution
unresolved
raw_fallback, observed 2026-08-07T15:29:41.126773Z

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.

source=pdf_text observed=2026-08-07T15:29:34.022436Z digest=sha256:27df076cdaef9616838547242cbe26ad1966b743239fa58435193f1a2403c0ff

Observation 1c4acdcb-92a1-4d99-844b-3e4145b0f3e3 · outbound

This paper cites Implicit optimization bias of next-token prediction in linear models.

Neural Collapse is Globally Optimal in Deep Regularized ResNets and Transformers Implicit optimization bias of next-token prediction in linear models

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:29:40.938642Z

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.

source=pdf_text observed=2026-08-07T15:29:34.129677Z digest=sha256:bbbc4dd25de607f696e7238dc0b1b6d548734b2c931562e42950a5fba25ae2e9

Observation 9ef041ce-71ba-4135-9215-a139eff8728e · outbound

This paper cites Imbalance trouble: Revisiting neural-collapse geometry.

Neural Collapse is Globally Optimal in Deep Regularized ResNets and Transformers Imbalance trouble: Revisiting neural-collapse geometry

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:29:40.699177Z

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.

source=pdf_text observed=2026-08-07T15:29:34.249417Z digest=sha256:a10ce699f9a70dab89d17435c92e995aa9fc91df4569986f6ba4f4dab928f855

Observation e8653096-01da-4baa-9bae-646bea903968 · outbound

This paper cites Extended unconstrained features model for exploring deep neural collapse.

Neural Collapse is Globally Optimal in Deep Regularized ResNets and Transformers Extended unconstrained features model for exploring deep neural collapse

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:29:40.548188Z

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.

source=pdf_text observed=2026-08-07T15:29:34.323975Z digest=sha256:880a88f0533e4cd4da25036c72e9c553bdf0f4dcc53032174d42bc6837944189

Observation 75e278c2-258f-4911-b8e7-aa0410bfdecd · outbound

This paper cites Perturbation analysis of neural collapse.

Neural Collapse is Globally Optimal in Deep Regularized ResNets and Transformers Perturbation analysis of neural collapse

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:29:40.349583Z

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.

source=pdf_text observed=2026-08-07T15:29:34.388455Z digest=sha256:1104e8043efaa1528ee4e0a72ee72dda7f9638d52d9752c32c0dade356cb38eb

Observation 377d1d83-26d4-4e1b-a30a-1b30163bfd01 · outbound

This paper cites Attention is all you need.

Neural Collapse is Globally Optimal in Deep Regularized ResNets and Transformers Attention is all you need

Reference 54

Resolution
unresolved
no resolver link, observed 2026-08-07T15:29:34.510160Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T15:29:34.510160Z digest=sha256:57eb99ff913e229d5dc66a96b47dca5315c6a5568ca6adf483951ce5b6dc91e3

Observation 03bd2be7-16ee-4a95-bf72-0d35aeb561cb · outbound

This paper cites Get the best of both worlds: Improving accuracy and transferability by grassmann class representation.

Neural Collapse is Globally Optimal in Deep Regularized ResNets and Transformers Get the best of both worlds: Improving accuracy and transferability by grassmann class representation

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:29:40.073635Z

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.

source=pdf_text observed=2026-08-07T15:29:34.607527Z digest=sha256:b0262e74cf28c25abb392c340a7aba6c258eda068040099113162016aa3ca55e

Observation ed2e6243-381c-4482-b988-0fa2f881d8a1 · outbound

This paper cites Understanding Deep Representation Learning via Layerwise Feature Compression and Discrimination.

Neural Collapse is Globally Optimal in Deep Regularized ResNets and Transformers Understanding Deep Representation Learning via Layerwise Feature Compression and Discrimination

Reference 56

Resolution
unresolved
no resolver link, observed 2026-08-07T15:29:34.702471Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T15:29:34.702471Z digest=sha256:d9a95bd44c98398e8de8b0f3eb200c126bafadac2befefc4998d8e5df548ec52

Observation 269429fd-5355-45ed-9f28-a1be021c3394 · outbound

This paper cites Linear convergence analysis of neural collapse with unconstrained features.

Neural Collapse is Globally Optimal in Deep Regularized ResNets and Transformers Linear convergence analysis of neural collapse with unconstrained features

Reference 57

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:29:39.874408Z

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.

source=pdf_text observed=2026-08-07T15:29:34.785009Z digest=sha256:3a55e070a7174ee67fd881410aa6e4c5eca5d669f07b0fa6eefe2718e8a6534e

Observation d828600a-71d1-4028-bf96-2250adf96c96 · outbound

This paper cites Progressive Feedforward Collapse of ResNet Training.

Neural Collapse is Globally Optimal in Deep Regularized ResNets and Transformers Progressive Feedforward Collapse of ResNet Training

Reference 58

Resolution
unresolved
no resolver link, observed 2026-08-07T15:29:34.877392Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T15:29:34.877392Z digest=sha256:1b0f583089db5cd8c39a6f72584f79ec1fd438252642f879879e87669592cfb2

Observation 90cf3d23-7bd5-4766-a60e-46c694258d50 · outbound

This paper cites How far pre-trained models are from neural collapse on the target dataset informs their transferability.

Neural Collapse is Globally Optimal in Deep Regularized ResNets and Transformers How far pre-trained models are from neural collapse on the target dataset informs their transferability

Reference 59

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:29:39.583346Z

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.

source=pdf_text observed=2026-08-07T15:29:34.981607Z digest=sha256:409d578595f693cdca2b3d99aeb4d16825fa36bd7b7d3f349f4cce5719a957a0

Observation 6ddbabf0-bac5-40ee-a7e1-46c79286e668 · outbound

This paper cites On the emergence of simplex symmetry in the final and penultimate layers of neural network classifiers.

Neural Collapse is Globally Optimal in Deep Regularized ResNets and Transformers On the emergence of simplex symmetry in the final and penultimate layers of neural network classifiers

Reference 60

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:29:39.423883Z

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.

source=pdf_text observed=2026-08-07T15:29:35.078644Z digest=sha256:6da60a9bd04ef4c6ecf83e9e4b19011c335eadab9314e0bd7ae02fd291d08696

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

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

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.

source=pdf_text observed=2026-08-07T15:29:35.159012Z digest=sha256:46295ff0939c13de995a3e048e3c128d2f9b377d783ebc56e98411aca158ef6c

Observation 44c17b53-b122-4db6-8b1c-870ed91df133 · outbound

This paper cites Linguistic Collapse: Neural Collapse in (Large) Language Models.

Neural Collapse is Globally Optimal in Deep Regularized ResNets and Transformers Linguistic Collapse: Neural Collapse in (Large) Language Models

Reference 62

Resolution
unresolved
no resolver link, observed 2026-08-07T15:29:35.247658Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T15:29:35.247658Z digest=sha256:aea1bb1b022dbaf6337be0a62eb2144ac572da6856f6ab2ed1cb04818a11ea55

Observation 87e81fca-547a-484c-ab84-06e72231df45 · outbound

This paper cites Pursuing feature separation based on neural collapse for out-of-distribution detection.

Neural Collapse is Globally Optimal in Deep Regularized ResNets and Transformers Pursuing feature separation based on neural collapse for out-of-distribution detection

Reference 63

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:29:39.167053Z

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.

source=pdf_text observed=2026-08-07T15:29:35.344317Z digest=sha256:ddcb9f305f0ea7f2d3a2f77ff51976fc51169414b52dc2b229a50dcb5e43db41

Observation f226edc2-3386-4730-98b8-b4c168e48e36 · outbound

This paper cites Dynamics in deep classifiers trained with the square loss: Normalization, low rank, neural collapse, and generalization bounds.

Neural Collapse is Globally Optimal in Deep Regularized ResNets and Transformers Dynamics in deep classifiers trained with the square loss: Normalization, low rank, neural collapse, and generalization bounds

Reference 64

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:29:38.959030Z

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.

source=pdf_text observed=2026-08-07T15:29:35.446974Z digest=sha256:55c4bb2685b31d3b9708345d10b93c422bad0b186890f3dd25625cde29eeb71a

Observation 0d0c3110-66ce-4448-942d-1e106dd0334c · outbound

This paper cites Epa: Neural collapse inspired robust out-of- distribution detector.

Neural Collapse is Globally Optimal in Deep Regularized ResNets and Transformers Epa: Neural collapse inspired robust out-of- distribution detector

Reference 65

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:29:38.762058Z

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.

source=pdf_text observed=2026-08-07T15:29:35.508233Z digest=sha256:744dd284924bafc4f790e79a850a3e4afa3e103df7f1b0956948409dcedad379

Observation 66c9f432-3e04-4d93-8cd4-95aab63eeee9 · outbound

This paper cites Implicit geometry of next-token prediction: From language sparsity patterns to model representations.

Neural Collapse is Globally Optimal in Deep Regularized ResNets and Transformers Implicit geometry of next-token prediction: From language sparsity patterns to model representations

Reference 66

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:29:38.608768Z

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.

source=pdf_text observed=2026-08-07T15:29:35.595578Z digest=sha256:2d00c86cac4659e08f0ed2b89b06e03417d60d05e378199f5b88fabf8c487170

Observation 9887efea-1e49-4162-9dfe-588245d8425f · outbound

This paper cites Understand- ing imbalanced semantic segmentation through neural collapse.

Neural Collapse is Globally Optimal in Deep Regularized ResNets and Transformers Understand- ing imbalanced semantic segmentation through neural collapse

Reference 67

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:29:38.447192Z

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.

source=pdf_text observed=2026-08-07T15:29:35.698990Z digest=sha256:80b25b325c4ed708c584ce6ceaacb078c327a2b508470090c90637a379528662

Observation c61d8ba6-55f6-40fd-9d88-df00a533ecd0 · outbound

This paper cites On the optimization landscape of neural collapse under MSE loss: Global optimality with unconstrained features.

Neural Collapse is Globally Optimal in Deep Regularized ResNets and Transformers On the optimization landscape of neural collapse under MSE loss: Global optimality with unconstrained features

Reference 68

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:29:38.227964Z

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.

source=pdf_text observed=2026-08-07T15:29:35.795762Z digest=sha256:8e5f85a9667f36bc9e25acaa0898846c852e6235d982c11d6e10f8654e512379

Observation 79accd6d-8faa-4f16-b31e-6d35dd780fef · outbound

This paper cites Are all losses created equal: A neural collapse perspective.

Neural Collapse is Globally Optimal in Deep Regularized ResNets and Transformers Are all losses created equal: A neural collapse perspective

Reference 69

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:29:38.032659Z

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.

source=pdf_text observed=2026-08-07T15:29:35.889103Z digest=sha256:1b237d861f21f121d0a5814e55d7231bc38a135bafde619f573942f852d2a0cd

Observation 8c71310e-3e41-489b-b6bd-0bf272ab0da8 · outbound

This paper cites Balanced contrastive learning for long-tailed visual recognition.

Neural Collapse is Globally Optimal in Deep Regularized ResNets and Transformers Balanced contrastive learning for long-tailed visual recognition

Reference 70

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:29:37.888997Z

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.

source=pdf_text observed=2026-08-07T15:29:36.003232Z digest=sha256:9bce3e349904b59e2c15febb04e084d70ff3c97ba06a02aa989c09d466fbded5

Observation 2e013ca7-6580-4f40-bba9-14319a1a5f86 · outbound

This paper cites A geometric analysis of neural collapse with unconstrained features.

Neural Collapse is Globally Optimal in Deep Regularized ResNets and Transformers A geometric analysis of neural collapse with unconstrained features

Reference 71

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:29:37.714048Z

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.

source=pdf_text observed=2026-08-07T15:29:36.085256Z digest=sha256:8e428fc16538988b18e854c77e1f0a282eecc528a1c60bb602a44dd3e9f254c5

Observation a5894bf0-263a-452b-8fe5-f9ae6ed08186 · outbound

This paper cites an unresolved cited work.

Neural Collapse is Globally Optimal in Deep Regularized ResNets and Transformers Unresolved cited work

Reference 72

Resolution
unresolved
raw_fallback, observed 2026-08-07T15:29:37.507633Z

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.

source=pdf_text observed=2026-08-07T15:29:36.170930Z digest=sha256:157690b73f52293ad79eb4ebcf58554d374750a007f36c21dd36de88a2a5d023

Observation 5b281216-730f-4172-afb7-a4fa83dd585a · outbound

This paper cites an unresolved cited work.

Neural Collapse is Globally Optimal in Deep Regularized ResNets and Transformers Unresolved cited work

Reference 73

Resolution
unresolved
raw_fallback, observed 2026-08-07T15:29:37.357653Z

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.

source=pdf_text observed=2026-08-07T15:29:36.251304Z digest=sha256:cc8c1d3731e7f7ffcf923535802d45e9ff818a22413af4abb3d8aa363ac62067

Observation b93ca3a1-4317-4bfa-95d0-92fb2ae6fb6a · outbound

This paper cites Denote ¯Gki as the set of points on Gki between xki and ¯xki.

Neural Collapse is Globally Optimal in Deep Regularized ResNets and Transformers Denote ¯Gki as the set of points on Gki between xki and ¯xki

Reference 74

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:29:37.217865Z

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.

source=pdf_text observed=2026-08-07T15:29:36.355317Z digest=sha256:c364c4c701f02f6bba839e6b03357253fbf7d32e4f5001ded38abc09c940378e

Observation 504d3e5c-e801-4baf-8d1a-10c881083362 · outbound

This paper cites an unresolved cited work.

Neural Collapse is Globally Optimal in Deep Regularized ResNets and Transformers Unresolved cited work

Reference 75

Resolution
unresolved
raw_fallback, observed 2026-08-07T15:29:37.032452Z

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.

source=pdf_text observed=2026-08-07T15:29:36.470034Z digest=sha256:896108e170489bb6fabf77931dc6457a8e7dbf8fb7830a1e1ecfffd23a2ceb9e

Observation aa7dd894-af75-4b6e-a532-d941f3a1f824 · outbound

This paper cites 10cm ≤ (d − max j(ki)̸=j(lp) ¯hT j(ki) ¯hj(lp))/d.

Neural Collapse is Globally Optimal in Deep Regularized ResNets and Transformers 10cm ≤ (d − max j(ki)̸=j(lp) ¯hT j(ki) ¯hj(lp))/d

Reference 76

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:29:36.864014Z

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.

source=pdf_text observed=2026-08-07T15:29:36.563390Z digest=sha256:cf8169d8839bdf0b70934881b130b0a50ad121336fb878b4abd46c36ce84d690

Pith citing papers

Observation 78cb20d8-3a16-480d-ae28-4153551ad9f7 · inbound

Geometric Analysis of Neural Regression Collapse via Intrinsic Dimension cites this paper.

Geometric Analysis of Neural Regression Collapse via Intrinsic Dimension Neural Collapse is Globally Optimal in Deep Regularized ResNets and Transformers

Reference 19

Resolution
verified exact
arxiv_id, observed 2026-05-18T10:22:33.217125Z

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.

source=pdf_text observed=2026-05-18T10:22:28.096542Z digest=sha256:ab577b6639307ce1fb70f549886f1c761e03827e4f79787bb1c8235d7f2f1d5b

Observation 1ec783da-1013-460e-92c7-5ee46817e75b · inbound

Structure Before Collapse: Transient semantic geometry in next-token prediction cites this paper.

Structure Before Collapse: Transient semantic geometry in next-token prediction Neural Collapse is Globally Optimal in Deep Regularized ResNets and Transformers

Reference 4

Resolution
verified exact
arxiv_id, observed 2026-07-04T13:29:50.957179Z

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.

source=arxiv_source observed=2026-06-26T05:14:07.208255Z digest=sha256:33c8ee542676abf9cc9cb2edf1e59ade70886c06f3de59d3a5ba3139a1fd0d6d