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Paper Citation Record · LEDGER

Weight-norm Criticality: A Mechanism for Loss Spikes Induced by the Normalization and Weight Decay

As of 18 August 2026, this Paper Citation Record lists 73 of 73 outbound references and 0 inbound Pith citation observations for arXiv:2607.21005.

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

pith.paper-citation-record.v1
2607.21005 v1

Coverage vector

measured 73 of 73 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-01T08:50:47.336816Z

measured 73 of 73 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

73 of 73 outbound references displayed

  • verified exact2
  • verified fuzzy0
  • unresolved70
  • parse uncertain1
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 3c50d069-29ae-49bd-9ff6-db04e345740e · outbound

This paper cites L2 Regularization versus Batch and Weight Normalization.

Weight-norm Criticality: A Mechanism for Loss Spikes Induced by the Normalization and Weight Decay L2 Regularization versus Batch and Weight Normalization

Reference 1

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source=arxiv_source observed=2026-08-01T08:50:40.509350Z digest=sha256:33a2a4fce4e5b627ef68152302ad1a84e7cd1e05f9a24a70f31c7e1b4e8899c9

Observation 02af2d7f-3a1e-439c-8063-a303f00ffb55 · outbound

This paper cites International Conference on Learning Representations , year=.

Weight-norm Criticality: A Mechanism for Loss Spikes Induced by the Normalization and Weight Decay International Conference on Learning Representations , year=

Reference 2

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source=arxiv_source observed=2026-08-01T08:50:40.608270Z digest=sha256:cb84df11cd75a92e02c525a76c5a137e3e69aa63ea4ffa812efd9c8a83f6e3af

Observation c694cf3e-1a96-4281-badc-4087eaca19d7 · outbound

This paper cites Norm matters: efficient and accurate normalization schemes in deep networks , volume =.

Weight-norm Criticality: A Mechanism for Loss Spikes Induced by the Normalization and Weight Decay Norm matters: efficient and accurate normalization schemes in deep networks , volume =

Reference 3

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source=arxiv_source observed=2026-08-01T08:50:40.772412Z digest=sha256:3aaa78a05ad92535286dc783429a56b3ed3a7fb86e3d7ca70d6e9d02d110c17b

Observation 8d485295-b39d-4449-8a27-c9c1623b37d7 · outbound

This paper cites Reconciling Modern Deep Learning with Traditional Optimization Analyses: The Intrinsic Learning Rate , volume =.

Weight-norm Criticality: A Mechanism for Loss Spikes Induced by the Normalization and Weight Decay Reconciling Modern Deep Learning with Traditional Optimization Analyses: The Intrinsic Learning Rate , volume =

Reference 4

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source=arxiv_source observed=2026-08-01T08:50:40.813367Z digest=sha256:05de2f22435878a6e2c51f7e7c4070bfd608a6da1fefba191ee0c4a3380b9186

Observation 24d3c7cc-ebaa-4c86-8b19-43d750c38325 · outbound

This paper cites Understanding the Generalization Benefit of Normalization Layers: Sharpness Reduction , volume =.

Weight-norm Criticality: A Mechanism for Loss Spikes Induced by the Normalization and Weight Decay Understanding the Generalization Benefit of Normalization Layers: Sharpness Reduction , volume =

Reference 5

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source=arxiv_source observed=2026-08-01T08:50:40.901249Z digest=sha256:8dc3e0ea334a1bf198dbf5a35ce6271d7aff8f948f6ae570d01c39e72a133002

Observation 08e0f05e-330e-4e87-b9c0-4f73ab606ea1 · outbound

This paper cites Online Normalization for Training Neural Networks , volume =.

Weight-norm Criticality: A Mechanism for Loss Spikes Induced by the Normalization and Weight Decay Online Normalization for Training Neural Networks , volume =

Reference 6

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source=arxiv_source observed=2026-08-01T08:50:40.969144Z digest=sha256:20f23d7ab901b5bb7bae239537177c1546eaa440c17c262ee93c24994ec0fc53

Observation 76092085-cc2a-4f20-912b-48f7d1c7f383 · outbound

This paper cites Spherical Motion Dynamics: Learning Dynamics of Normalized Neural Network using SGD and Weight Decay , volume =.

Weight-norm Criticality: A Mechanism for Loss Spikes Induced by the Normalization and Weight Decay Spherical Motion Dynamics: Learning Dynamics of Normalized Neural Network using SGD and Weight Decay , volume =

Reference 7

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source=arxiv_source observed=2026-08-01T08:50:41.037351Z digest=sha256:52eaa1268bfabf941caea6779eb2b823a4cc65bcb2243c1c2196b44a9b298be4

Observation 93e607d3-3560-4973-bbc3-58267e82bf76 · outbound

This paper cites An Exponential Learning Rate Schedule for Deep Learning.

Weight-norm Criticality: A Mechanism for Loss Spikes Induced by the Normalization and Weight Decay An Exponential Learning Rate Schedule for Deep Learning

Reference 8

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source=arxiv_source observed=2026-08-01T08:50:41.107729Z digest=sha256:806d77fd85171e8c22738c6769992e1b39e4ee6d9b8cf6a28cb9c6c5a1225577

Observation 68b7475e-ba41-4cc1-bbea-e706ee9022d4 · outbound

This paper cites Proceedings of the AAAI Conference on Artificial Intelligence , author=.

Weight-norm Criticality: A Mechanism for Loss Spikes Induced by the Normalization and Weight Decay Proceedings of the AAAI Conference on Artificial Intelligence , author=

Reference 9

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doi, observed 2026-08-01T08:53:55.686142Z

Source-reported events for the cited work

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source=arxiv_source observed=2026-08-01T08:50:41.174865Z digest=sha256:d3216024cd9045abff270fa1f33901747ddfd4c19090f94f0e62d8183a5453cc

Observation 9683ace2-8bf8-4f70-a5a5-0d5a23522549 · outbound

This paper cites On the Periodic Behavior of Neural Network Training with Batch Normalization and Weight Decay , volume =.

Weight-norm Criticality: A Mechanism for Loss Spikes Induced by the Normalization and Weight Decay On the Periodic Behavior of Neural Network Training with Batch Normalization and Weight Decay , volume =

Reference 10

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source=arxiv_source observed=2026-08-01T08:50:41.215129Z digest=sha256:8c7450b188fe5b3a7b8eff1649936d892972770cde8dd828149aa71043355772

Observation 68263ae8-9407-4993-87c6-bf1d4b324fab · outbound

This paper cites Training Scale-Invariant Neural Networks on the Sphere Can Happen in Three Regimes , volume =.

Weight-norm Criticality: A Mechanism for Loss Spikes Induced by the Normalization and Weight Decay Training Scale-Invariant Neural Networks on the Sphere Can Happen in Three Regimes , volume =

Reference 11

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source=arxiv_source observed=2026-08-01T08:50:41.292037Z digest=sha256:ea6084fc5a7f19368f3bfb0f7e84148d22c566f641468616af4e3736ea11022f

Observation b4ac6085-7cef-4b35-9996-2631186ccb36 · outbound

This paper cites Greenwade.

Weight-norm Criticality: A Mechanism for Loss Spikes Induced by the Normalization and Weight Decay Greenwade

Reference 12

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source=arxiv_source observed=2026-08-01T08:50:41.381779Z digest=sha256:bd298605ccf6006704bde026718cf70e16234c5d36b877895719111211b32a27

Observation 4d66435b-848f-41be-9799-452086a5197b · outbound

This paper cites NeurIPS 2023 Workshop Heavy Tails in Machine Learning , year=.

Weight-norm Criticality: A Mechanism for Loss Spikes Induced by the Normalization and Weight Decay NeurIPS 2023 Workshop Heavy Tails in Machine Learning , year=

Reference 13

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source=arxiv_source observed=2026-08-01T08:50:41.456091Z digest=sha256:fbfaa6e37d962a37d8c66b2b5c94f3eab80e81e779540c0fb838b80c30a23ec9

Observation ff1d4b52-464e-4c3c-a238-677888512589 · outbound

This paper cites The Break-Even Point on Optimization Trajectories of Deep Neural Networks.

Weight-norm Criticality: A Mechanism for Loss Spikes Induced by the Normalization and Weight Decay The Break-Even Point on Optimization Trajectories of Deep Neural Networks

Reference 14

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source=arxiv_source observed=2026-08-01T08:50:41.552689Z digest=sha256:a80dd3a105bd4485cde60947be070f5dd3b4234d5f4d77f49caf572dd0ab41a1

Observation fdec7626-9c7a-41a8-ab6a-4a9f23ebe551 · outbound

This paper cites On the Relation Between the Sharpest Directions of DNN Loss and the SGD Step Length.

Weight-norm Criticality: A Mechanism for Loss Spikes Induced by the Normalization and Weight Decay On the Relation Between the Sharpest Directions of DNN Loss and the SGD Step Length

Reference 15

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source=arxiv_source observed=2026-08-01T08:50:41.633722Z digest=sha256:ff0f728217f351d59c5bdf175a53cfda9fab9994472f1b8338c23854ce853545

Observation 71e7f561-54f2-4a81-ad47-b6e249b99043 · outbound

This paper cites The large learning rate phase of deep learning: the catapult mechanism.

Weight-norm Criticality: A Mechanism for Loss Spikes Induced by the Normalization and Weight Decay The large learning rate phase of deep learning: the catapult mechanism

Reference 16

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source=arxiv_source observed=2026-08-01T08:50:41.724748Z digest=sha256:d07f9020531a089efaa38454c42cba1aa428a7502ceec99a40a8dc002c4fb230

Observation 3714f7ea-bd17-4ed1-87e2-49b39a1e4753 · outbound

This paper cites On the Convergence of A Class of Adam-Type Algorithms for Non-Convex Optimization.

Weight-norm Criticality: A Mechanism for Loss Spikes Induced by the Normalization and Weight Decay On the Convergence of A Class of Adam-Type Algorithms for Non-Convex Optimization

Reference 17

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source=arxiv_source observed=2026-08-01T08:50:41.830960Z digest=sha256:4b5599b9e9c9dab5cc1e1e03f4308f506d500404f5d77718caf7ddc984db7071

Observation c89e712d-ff2f-49b4-88f0-0762b3ca8201 · outbound

This paper cites Transactions on Machine Learning Research , year=.

Weight-norm Criticality: A Mechanism for Loss Spikes Induced by the Normalization and Weight Decay Transactions on Machine Learning Research , year=

Reference 18

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source=arxiv_source observed=2026-08-01T08:50:41.901561Z digest=sha256:a1575d2a9b2dede9fee67909b441b5977f103b89dc2628e58761c7062f4634d9

Observation 78f4c3fa-ee27-4a87-847a-b237b81f01bf · outbound

This paper cites The 22nd international conference on artificial intelligence and statistics , pages=.

Weight-norm Criticality: A Mechanism for Loss Spikes Induced by the Normalization and Weight Decay The 22nd international conference on artificial intelligence and statistics , pages=

Reference 19

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source=arxiv_source observed=2026-08-01T08:50:41.982473Z digest=sha256:02973dfe30b9771ec0cab26a641d9a5ec0f8beac7a535f9409391ca19b64186b

Observation 42128c5a-6378-4e36-bedd-45bf5ee9d41e · outbound

This paper cites International conference on artificial intelligence and statistics , pages=.

Weight-norm Criticality: A Mechanism for Loss Spikes Induced by the Normalization and Weight Decay International conference on artificial intelligence and statistics , pages=

Reference 20

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source=arxiv_source observed=2026-08-01T08:50:42.104439Z digest=sha256:fee17078253f1b404d9ea32a38462623b24f481647aa86918e73f41d2bfe340d

Observation ce3c4d6e-f4b6-4b3b-b86d-f90355cdd05f · outbound

This paper cites A Simple Convergence Proof of Adam and Adagrad.

Weight-norm Criticality: A Mechanism for Loss Spikes Induced by the Normalization and Weight Decay A Simple Convergence Proof of Adam and Adagrad

Reference 21

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source=arxiv_source observed=2026-08-01T08:50:42.201005Z digest=sha256:326681c1f6e2067ad7de374dbae0eae46b9356a34fe06317f7ba858885795a73

Observation 758981a4-69c2-4362-9dc1-abdc9518c5a4 · outbound

This paper cites Journal of Machine Learning Research , volume=.

Weight-norm Criticality: A Mechanism for Loss Spikes Induced by the Normalization and Weight Decay Journal of Machine Learning Research , volume=

Reference 22

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source=arxiv_source observed=2026-08-01T08:50:42.263741Z digest=sha256:c9309167cf27a1f4e91c08737179f8f6b200c8c968f5cd5562ba068063102496

Observation c948cbfc-2532-45ac-8061-b77d7c3210d3 · outbound

This paper cites The Thirty-eighth Annual Conference on Neural Information Processing Systems , year =.

Weight-norm Criticality: A Mechanism for Loss Spikes Induced by the Normalization and Weight Decay The Thirty-eighth Annual Conference on Neural Information Processing Systems , year =

Reference 23

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source=arxiv_source observed=2026-08-01T08:50:42.354268Z digest=sha256:9928c78ae17848dc3ff316b9917d3011debf2758aab230741823d5e7e3977b6c

Observation 8c13421a-82ea-40c0-a15e-b246431cffde · outbound

This paper cites Journal of Machine Learning Research , volume=.

Weight-norm Criticality: A Mechanism for Loss Spikes Induced by the Normalization and Weight Decay Journal of Machine Learning Research , volume=

Reference 24

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source=arxiv_source observed=2026-08-01T08:50:42.453785Z digest=sha256:421e07556e4b3553aa78e3115c88346e6cf38a8a5814b005f5ccd10ff4795e5e

Observation 07379f32-cdb1-41ca-a558-e6fe812b6eef · outbound

This paper cites Advances in neural information processing systems , volume=.

Weight-norm Criticality: A Mechanism for Loss Spikes Induced by the Normalization and Weight Decay Advances in neural information processing systems , volume=

Reference 25

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source=arxiv_source observed=2026-08-01T08:50:42.613734Z digest=sha256:107348c8631aaf910b4505f354a04188b7dfe9d0f4f92941aaaea3909f4447bd

Observation 027e6191-2577-4b1c-b576-df742fce7f74 · outbound

This paper cites 2025 , eprint=.

Weight-norm Criticality: A Mechanism for Loss Spikes Induced by the Normalization and Weight Decay 2025 , eprint=

Reference 26

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source=arxiv_source observed=2026-08-01T08:50:42.697813Z digest=sha256:c6f70c2fc25ff9640139f8fe2fe0d02807b0f36b3eb0d1e5460111cd355634d4

Observation b8afb3e1-896f-420e-9d3b-44e60f2f8444 · outbound

This paper cites Thirty-seventh Conference on Neural Information Processing Systems , year=.

Weight-norm Criticality: A Mechanism for Loss Spikes Induced by the Normalization and Weight Decay Thirty-seventh Conference on Neural Information Processing Systems , year=

Reference 27

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source=arxiv_source observed=2026-08-01T08:50:42.745265Z digest=sha256:fc09b23026f9e34d0566330adc69c0b634c48b16714e003801667f905c8b1c93

Observation bdf12044-4cf5-4039-bed6-ae4388208f5f · outbound

This paper cites 2025 , institution =.

Weight-norm Criticality: A Mechanism for Loss Spikes Induced by the Normalization and Weight Decay 2025 , institution =

Reference 28

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source=arxiv_source observed=2026-08-01T08:50:42.820521Z digest=sha256:1f2fc61c31f3b702ee96ea67c9f4daac49d4d50c2c58f213cde8336295de5b54

Observation 1de2a617-b0ad-4114-8c28-4022a0dcd908 · outbound

This paper cites International Conference on Learning Representations , year =.

Weight-norm Criticality: A Mechanism for Loss Spikes Induced by the Normalization and Weight Decay International Conference on Learning Representations , year =

Reference 29

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source=arxiv_source observed=2026-08-01T08:50:42.872027Z digest=sha256:b24184b92a39c5a32720d81dbd9ddb446fc3995deec15dd60901782458c7ac1a

Observation f57efdc6-53bb-43a7-b87b-4f7727a429ac · outbound

This paper cites Advances in neural information processing systems , volume=.

Weight-norm Criticality: A Mechanism for Loss Spikes Induced by the Normalization and Weight Decay Advances in neural information processing systems , volume=

Reference 30

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source=arxiv_source observed=2026-08-01T08:50:42.967292Z digest=sha256:f542300802be46c763b6bed20f11da0b809687c64e9e6c72e87ed9695ebb1c9e

Observation ace03bdf-55f9-4e0f-8f3b-68dc723eff14 · outbound

This paper cites 2025 , url=.

Weight-norm Criticality: A Mechanism for Loss Spikes Induced by the Normalization and Weight Decay 2025 , url=

Reference 31

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source=arxiv_source observed=2026-08-01T08:50:43.039395Z digest=sha256:4c7ebca17694523ed726d5732b58b3b296b9a58a7531ebb42efdceb8bb1c67c3

Observation 2c254a8e-d036-4ec5-ad04-b008189543f3 · outbound

This paper cites 2005 , edition =.

Weight-norm Criticality: A Mechanism for Loss Spikes Induced by the Normalization and Weight Decay 2005 , edition =

Reference 32

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source=arxiv_source observed=2026-08-01T08:50:43.137199Z digest=sha256:11ba2035e646461348baa4bfd39d305ec4988655339554c415970138e792688b

Observation 291098ac-6303-4e3b-9c1c-f6473047bec8 · outbound

This paper cites Reasoning Bias of Next Token Prediction Training.

Weight-norm Criticality: A Mechanism for Loss Spikes Induced by the Normalization and Weight Decay Reasoning Bias of Next Token Prediction Training

Reference 33

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source=arxiv_source observed=2026-08-01T08:50:43.217179Z digest=sha256:158f72da34da71cf534d0af28d1f06c85e7e5a691a402d479036024277d077b1

Observation 37b17ac5-4854-409f-aee5-781a9abc04d6 · outbound

This paper cites Journal of Machine Learning , year =.

Weight-norm Criticality: A Mechanism for Loss Spikes Induced by the Normalization and Weight Decay Journal of Machine Learning , year =

Reference 34

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verified exact
doi, observed 2026-08-01T08:53:55.457389Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-01T08:50:43.350457Z digest=sha256:f7c9e5b6f153def9b3906ce859a381de0f47338d691a76b72e2e9271b3804c9e

Observation 1196e2a3-5350-4e4f-9088-890ce11da6c1 · outbound

This paper cites International Conference on Learning Representations , year=.

Weight-norm Criticality: A Mechanism for Loss Spikes Induced by the Normalization and Weight Decay International Conference on Learning Representations , year=

Reference 35

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source=arxiv_source observed=2026-08-01T08:50:43.462766Z digest=sha256:5ca53a25ceadb75b12643cc651e51b789592c65381f86b1bc84c0f81e820a124

Observation 9911b3b7-a5b6-4ecb-af40-e75b4a2a9654 · outbound

This paper cites Advances in Neural Information Processing Systems , volume=.

Weight-norm Criticality: A Mechanism for Loss Spikes Induced by the Normalization and Weight Decay Advances in Neural Information Processing Systems , volume=

Reference 36

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source=arxiv_source observed=2026-08-01T08:50:43.616177Z digest=sha256:97e21f3cb00d0351f70c0d1e933f2a0bb9b33c12f42d20fed4ba42ab1545208e

Observation 47aea571-b516-4802-b46a-9e7e72b81ee9 · outbound

This paper cites Adam: A Method for Stochastic Optimization.

Weight-norm Criticality: A Mechanism for Loss Spikes Induced by the Normalization and Weight Decay Adam: A Method for Stochastic Optimization

Reference 37

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source=arxiv_source observed=2026-08-01T08:50:43.735821Z digest=sha256:9c0d0eda6698b637d27917a3b2372ac344bfce33f64ec66edfa8e40c31773516

Observation 55ba53fa-3430-4798-a09a-9830a5ea443f · outbound

This paper cites International conference on machine learning , pages=.

Weight-norm Criticality: A Mechanism for Loss Spikes Induced by the Normalization and Weight Decay International conference on machine learning , pages=

Reference 38

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source=arxiv_source observed=2026-08-01T08:50:43.887195Z digest=sha256:c6c0b5682124aca4c1ab4b25ae4e1db99b76c520b043ed5732a4778ff45fcacf

Observation c1c537cc-db42-4e59-b7a0-337ee42671e8 · outbound

This paper cites A Walk with SGD.

Weight-norm Criticality: A Mechanism for Loss Spikes Induced by the Normalization and Weight Decay A Walk with SGD

Reference 39

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source=arxiv_source observed=2026-08-01T08:50:44.047334Z digest=sha256:e55dd57646ad3bb186d08ca7e045ec2f6ca4ec2d24327eba6a07a790b6830470

Observation a4a02ef0-e0fc-4221-8d3b-93d8c90022ea · outbound

This paper cites Three Factors Influencing Minima in SGD.

Weight-norm Criticality: A Mechanism for Loss Spikes Induced by the Normalization and Weight Decay Three Factors Influencing Minima in SGD

Reference 40

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source=arxiv_source observed=2026-08-01T08:50:44.212716Z digest=sha256:2d4588bcf0ee9ee7a6cd0149debca7999262086079d49e6d9253f4bbc849679e

Observation 9fb2a540-1f8b-44c8-905f-a8b03782a904 · outbound

This paper cites an unresolved cited work.

Weight-norm Criticality: A Mechanism for Loss Spikes Induced by the Normalization and Weight Decay Unresolved cited work

Reference 41

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source=arxiv_source observed=2026-08-01T08:50:44.384006Z digest=sha256:f40d251f3d1651dfd201da613bef79bfc277c8a5167da6b99070b7d99e7876db

Observation 8d54af1b-5422-4e11-b159-07480aea771c · outbound

This paper cites Advances in Neural Information Processing Systems , volume=.

Weight-norm Criticality: A Mechanism for Loss Spikes Induced by the Normalization and Weight Decay Advances in Neural Information Processing Systems , volume=

Reference 42

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no resolver link, observed 2026-08-01T08:50:44.507953Z

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source=arxiv_source observed=2026-08-01T08:50:44.507953Z digest=sha256:e6cfde51f254cdc851e410f105c810b32681743c5bb68d9c1d39c110ef16dedd

Observation 8ea16c42-b9c2-4655-ab80-6e0add5bf808 · outbound

This paper cites The Eleventh International Conference on Learning Representations , year=.

Weight-norm Criticality: A Mechanism for Loss Spikes Induced by the Normalization and Weight Decay The Eleventh International Conference on Learning Representations , year=

Reference 43

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no resolver link, observed 2026-08-01T08:50:44.582789Z

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source=arxiv_source observed=2026-08-01T08:50:44.582789Z digest=sha256:e2aaf2bd7423c56607856073d4dfaabad1982f1bd114009a038d611cbfa7e8c2

Observation e51403e3-7f5a-45fa-86ae-2ab3682fa28e · outbound

This paper cites an unresolved cited work.

Weight-norm Criticality: A Mechanism for Loss Spikes Induced by the Normalization and Weight Decay Unresolved cited work

Reference 44

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source=arxiv_source observed=2026-08-01T08:50:44.721836Z digest=sha256:801f704ac8f1ef42d0c1411b75ddf418d302cbda74780e13b216a6eaca132460

Observation c67a4cbd-1874-47ce-89b4-d4ce1edc6b65 · outbound

This paper cites International Conference on Learning Representations , year=.

Weight-norm Criticality: A Mechanism for Loss Spikes Induced by the Normalization and Weight Decay International Conference on Learning Representations , year=

Reference 45

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source=arxiv_source observed=2026-08-01T08:50:44.805354Z digest=sha256:e209d1a33e124919f89cf4347619aee66ff6c22389574848e9be00a8f33ad649

Observation 074e021c-3e6e-45ed-aeed-19f11cff766c · outbound

This paper cites International Conference on Machine Learning , pages=.

Weight-norm Criticality: A Mechanism for Loss Spikes Induced by the Normalization and Weight Decay International Conference on Machine Learning , pages=

Reference 46

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no resolver link, observed 2026-08-01T08:50:44.889080Z

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source=arxiv_source observed=2026-08-01T08:50:44.889080Z digest=sha256:5847713b2a4b1c4e64395edb36364a55062c1eb2d458d64eba0057994d828a8b

Observation 6394b825-124d-4356-8885-492a8e51e54f · outbound

This paper cites Mathematical and scientific machine learning , pages=.

Weight-norm Criticality: A Mechanism for Loss Spikes Induced by the Normalization and Weight Decay Mathematical and scientific machine learning , pages=

Reference 47

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source=arxiv_source observed=2026-08-01T08:50:45.004525Z digest=sha256:6437d121f06995aa1c059dc7b9fec21e52d6109aeaf04c07e1cff5041d349e25

Observation 995b41c9-986f-4efa-99a4-12545112319d · outbound

This paper cites Journal of Computational Mathematics , year=.

Weight-norm Criticality: A Mechanism for Loss Spikes Induced by the Normalization and Weight Decay Journal of Computational Mathematics , year=

Reference 48

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source=arxiv_source observed=2026-08-01T08:50:45.074313Z digest=sha256:8ea594606d19580acbac032d378252e6b7e120de01da893a6f86e6c7b6930617

Observation 6eb4aa11-6139-429c-b41c-b22a835280b6 · outbound

This paper cites Understanding Warmup-Stable-Decay Learning Rates: A River Valley Loss Landscape Perspective.

Weight-norm Criticality: A Mechanism for Loss Spikes Induced by the Normalization and Weight Decay Understanding Warmup-Stable-Decay Learning Rates: A River Valley Loss Landscape Perspective

Reference 49

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no resolver link, observed 2026-08-01T08:50:45.185948Z

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source=arxiv_source observed=2026-08-01T08:50:45.185948Z digest=sha256:315d4e602079e5d90eebb3beef1a4f800322587c6e0b39d001af2418cef1508b

Observation 38d7c8b4-5238-45c6-b7bb-fc753844a08f · outbound

This paper cites International Conference on Learning Representations , year=.

Weight-norm Criticality: A Mechanism for Loss Spikes Induced by the Normalization and Weight Decay International Conference on Learning Representations , year=

Reference 50

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no resolver link, observed 2026-08-01T08:50:45.256235Z

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source=arxiv_source observed=2026-08-01T08:50:45.256235Z digest=sha256:8a844e7e573f451cd3f9e6fc866605056b6473cbe88167a775d93e71771d7fb5

Observation d64b195a-336b-412b-92a0-02ec74bd23ae · outbound

This paper cites Proceedings of the IEEE/CVF Conference on computer vision and pattern recognition , pages=.

Weight-norm Criticality: A Mechanism for Loss Spikes Induced by the Normalization and Weight Decay Proceedings of the IEEE/CVF Conference on computer vision and pattern recognition , pages=

Reference 51

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no resolver link, observed 2026-08-01T08:50:45.325431Z

Source-reported events for the cited work

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source=arxiv_source observed=2026-08-01T08:50:45.325431Z digest=sha256:b8c6f51f3597c2da08fe2a0a08f60e8d2920c570aa12c141501aa02fa158f307

Observation 2279d5e6-0658-4bb4-80f7-9d0c7e81dbb5 · outbound

This paper cites A Theory on Adam Instability in Large-Scale Machine Learning.

Weight-norm Criticality: A Mechanism for Loss Spikes Induced by the Normalization and Weight Decay A Theory on Adam Instability in Large-Scale Machine Learning

Reference 52

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source=arxiv_source observed=2026-08-01T08:50:45.390519Z digest=sha256:9bad6c5b91535150c7652be5634ed2167cce57efa3ab6418a4ac3a49cc33d481

Observation b04247f0-7d18-47ad-8e38-b27b5e78fb73 · outbound

This paper cites Scale-Distribution Decoupling: Enabling Stable and Effective Training of Large Language Models.

Weight-norm Criticality: A Mechanism for Loss Spikes Induced by the Normalization and Weight Decay Scale-Distribution Decoupling: Enabling Stable and Effective Training of Large Language Models

Reference 53

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no resolver link, observed 2026-08-01T08:50:45.475754Z

Source-reported events for the cited work

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source=arxiv_source observed=2026-08-01T08:50:45.475754Z digest=sha256:7892137b4f4f3a0587846ab82e8e719cad4a1efcd3cfe906d74fd8f3e860df14

Observation 05c4c720-1162-4aa0-ad63-e86d1da21025 · outbound

This paper cites Spike No More: Stabilizing the Pre-training of Large Language Models.

Weight-norm Criticality: A Mechanism for Loss Spikes Induced by the Normalization and Weight Decay Spike No More: Stabilizing the Pre-training of Large Language Models

Reference 54

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source=arxiv_source observed=2026-08-01T08:50:45.563563Z digest=sha256:dce37a7afcc2d66be19512ecbcc80ea97725c2d5483b06103869f6e5ce6ba77a

Observation 7003e75a-81ab-4830-83de-8026f736f2af · outbound

This paper cites International Conference on Machine Learning , pages=.

Weight-norm Criticality: A Mechanism for Loss Spikes Induced by the Normalization and Weight Decay International Conference on Machine Learning , pages=

Reference 55

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no resolver link, observed 2026-08-01T08:50:45.628065Z

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source=arxiv_source observed=2026-08-01T08:50:45.628065Z digest=sha256:13efcbf143c55c75de67953eb404f65d4bf2c1cbe3a5f77e0eb2009d9aa22347

Observation 1bda72ad-9bb0-4c24-818d-bbf7513c6c5a · outbound

This paper cites On the Relation Between the Sharpest Directions of.

Weight-norm Criticality: A Mechanism for Loss Spikes Induced by the Normalization and Weight Decay On the Relation Between the Sharpest Directions of

Reference 56

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no resolver link, observed 2026-08-01T08:50:45.735024Z

Source-reported events for the cited work

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source=arxiv_source observed=2026-08-01T08:50:45.735024Z digest=sha256:ed7bd5125e1ca54deb718ccb9f655b942ff39af21d74d255a1a335043554434a

Observation 463879d1-1b8e-4207-a868-9cbb86002847 · outbound

This paper cites International Conference on Learning Representations , year=.

Weight-norm Criticality: A Mechanism for Loss Spikes Induced by the Normalization and Weight Decay International Conference on Learning Representations , year=

Reference 57

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no resolver link, observed 2026-08-01T08:50:45.856651Z

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source=arxiv_source observed=2026-08-01T08:50:45.856651Z digest=sha256:e80d4ed75f4f0fab05ae433ffc2430f6becaad8bbed7b55ee58f1d4c7c561e1c

Observation 501dcaae-fa3c-4417-828b-c1ae8e3a766c · outbound

This paper cites Transactions on Machine Learning Research , issn=.

Weight-norm Criticality: A Mechanism for Loss Spikes Induced by the Normalization and Weight Decay Transactions on Machine Learning Research , issn=

Reference 58

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no resolver link, observed 2026-08-01T08:50:45.938336Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-01T08:50:45.938336Z digest=sha256:b3ad0fb4123d4318f9c09e6ac3879e56746c6874fd05e25bb0c3bcf7090ee608

Observation a90d9349-bb77-413b-966f-94e9e16de469 · outbound

This paper cites Transactions on Machine Learning Research , issn=.

Weight-norm Criticality: A Mechanism for Loss Spikes Induced by the Normalization and Weight Decay Transactions on Machine Learning Research , issn=

Reference 59

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source=arxiv_source observed=2026-08-01T08:50:46.070571Z digest=sha256:4466fb27dbd4d123a95da316e3789622181c07127bb44424c7b8f389160768f4

Observation 0741cebe-0303-4481-84a5-c0990a7e405f · outbound

This paper cites 2021 , url=.

Weight-norm Criticality: A Mechanism for Loss Spikes Induced by the Normalization and Weight Decay 2021 , url=

Reference 60

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no resolver link, observed 2026-08-01T08:50:46.160491Z

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source=arxiv_source observed=2026-08-01T08:50:46.160491Z digest=sha256:16e8a70aa674cae0f5fafe21a1b604a77a811a7981021d63996c7fa82abc5b05

Observation c52f06de-75ed-4eb4-9b2b-cc959c36fb97 · outbound

This paper cites Llama 2: Open Foundation and Fine-Tuned Chat Models.

Weight-norm Criticality: A Mechanism for Loss Spikes Induced by the Normalization and Weight Decay Llama 2: Open Foundation and Fine-Tuned Chat Models

Reference 61

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source=arxiv_source observed=2026-08-01T08:50:46.262324Z digest=sha256:a1238ad780b8bd384013c8c6ec5784278ff38b0ca7cc9cbd0c039a3dbc468c43

Observation 2c12c153-a591-4522-90f8-61a5fc4e4297 · outbound

This paper cites arXiv e-prints , pages=.

Weight-norm Criticality: A Mechanism for Loss Spikes Induced by the Normalization and Weight Decay arXiv e-prints , pages=

Reference 62

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source=arxiv_source observed=2026-08-01T08:50:46.335833Z digest=sha256:d9af15389541abfd7e90020e792469149095861b30c267e1c131019c63336564

Observation ca577734-1e13-42bf-95e3-e31691acf32e · outbound

This paper cites arXiv preprint arXiv:2505.21829 , year=.

Weight-norm Criticality: A Mechanism for Loss Spikes Induced by the Normalization and Weight Decay arXiv preprint arXiv:2505.21829 , year=

Reference 63

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no resolver link, observed 2026-08-01T08:50:46.427622Z

Source-reported events for the cited work

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source=arxiv_source observed=2026-08-01T08:50:46.427622Z digest=sha256:c616dae6c212845a800306b3c0aec539921194d56f49a18e716e5a6fe199fdb7

Observation 0142365c-fed8-4ea2-b5b8-5e5fe01b82ab · outbound

This paper cites The Thirteenth International Conference on Learning Representations , year=.

Weight-norm Criticality: A Mechanism for Loss Spikes Induced by the Normalization and Weight Decay The Thirteenth International Conference on Learning Representations , year=

Reference 64

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no resolver link, observed 2026-08-01T08:50:46.491540Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-01T08:50:46.491540Z digest=sha256:11fe3079671c3658f9cb740f7298d3daeeb7981e2d08342fc56efe5706f60784

Observation 957176aa-2270-489b-9f61-733038cc5650 · outbound

This paper cites Adaptive Preconditioners Trigger Loss Spikes in Adam.

Weight-norm Criticality: A Mechanism for Loss Spikes Induced by the Normalization and Weight Decay Adaptive Preconditioners Trigger Loss Spikes in Adam

Reference 65

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no resolver link, observed 2026-08-01T08:50:46.548954Z

Source-reported events for the cited work

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source=arxiv_source observed=2026-08-01T08:50:46.548954Z digest=sha256:05cf2818e6de86301b28b594c9901f2531e83f30a4ca3d8eb99ac34f7c539ad7

Observation c47ef091-e82b-4c5f-aca7-ad541e404999 · outbound

This paper cites International conference on machine learning , pages=.

Weight-norm Criticality: A Mechanism for Loss Spikes Induced by the Normalization and Weight Decay International conference on machine learning , pages=

Reference 66

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no resolver link, observed 2026-08-01T08:50:46.664973Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-01T08:50:46.664973Z digest=sha256:5e3da4ecb4b78fc6c9680ee69ef0b5b3c82768945a7366782be427c43d392f20

Observation d64acf75-c068-4165-855e-ed5f13e9b493 · outbound

This paper cites Layer Normalization.

Weight-norm Criticality: A Mechanism for Loss Spikes Induced by the Normalization and Weight Decay Layer Normalization

Reference 67

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no resolver link, observed 2026-08-01T08:50:46.759687Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-01T08:50:46.759687Z digest=sha256:f67c80d12b43566ecb7ffcfec37b97b7de77febb2693507ff18832c5b7f01238

Observation 1049a9d2-8ada-4c7c-80b5-7648383feee9 · outbound

This paper cites A very short proof of Cauchy's interlace theorem for eigenvalues of Hermitian matrices.

Weight-norm Criticality: A Mechanism for Loss Spikes Induced by the Normalization and Weight Decay A very short proof of Cauchy's interlace theorem for eigenvalues of Hermitian matrices

Reference 68

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no resolver link, observed 2026-08-01T08:50:46.901311Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-01T08:50:46.901311Z digest=sha256:b432808b5105ce62ffff79172c9dca1ca638d5eeaabc326a9978257cf3b99896

Observation dcb40e31-a58b-40ca-9309-ca5d2c705893 · outbound

This paper cites Proceedings of the IEEE conference on computer vision and pattern recognition , pages=.

Weight-norm Criticality: A Mechanism for Loss Spikes Induced by the Normalization and Weight Decay Proceedings of the IEEE conference on computer vision and pattern recognition , pages=

Reference 69

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no resolver link, observed 2026-08-01T08:50:46.981059Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-01T08:50:46.981059Z digest=sha256:787b97406ab816f70651c8107fc4e4e70802ad9a0e51b56910b0023dd52e91bd

Observation 3ee028f6-51cb-45ee-9faf-be8337f3ccc1 · outbound

This paper cites an unresolved cited work.

Weight-norm Criticality: A Mechanism for Loss Spikes Induced by the Normalization and Weight Decay Unresolved cited work

Reference 70

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parse uncertain
no resolver link, observed 2026-08-01T08:50:47.051256Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-01T08:50:47.051256Z digest=sha256:d2644754d2e1c2b7224df70a0ffd6042d74afb1587f77917b20fbec9dc140bb1

Observation 873ec28e-4416-4780-a8be-72c0de5024e1 · outbound

This paper cites Advances in neural information processing systems , volume=.

Weight-norm Criticality: A Mechanism for Loss Spikes Induced by the Normalization and Weight Decay Advances in neural information processing systems , volume=

Reference 71

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no resolver link, observed 2026-08-01T08:50:47.158492Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-01T08:50:47.158492Z digest=sha256:f07449fe688453796bcd286257a3455c226b0859f02ef71e3930c4f9ca4193d1

Observation 481e2229-3afe-4d48-b379-5d8805499b69 · outbound

This paper cites ATT Labs [Online].

Weight-norm Criticality: A Mechanism for Loss Spikes Induced by the Normalization and Weight Decay ATT Labs [Online]

Reference 72

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no resolver link, observed 2026-08-01T08:50:47.249113Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-01T08:50:47.249113Z digest=sha256:7f5d13b48c8ea5f984c8abbdb217181a8cd5f6e72ece2fbe4f909ec8bcea539b

Observation cb575da1-722c-40a8-adc7-f92df1441ddb · outbound

This paper cites Decoupled Weight Decay Regularization.

Weight-norm Criticality: A Mechanism for Loss Spikes Induced by the Normalization and Weight Decay Decoupled Weight Decay Regularization

Reference 73

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-01T08:50:47.336816Z digest=sha256:d38d29be7a5aacaf2b6258dfc63fd14c89d4b24f9b1cd9e3cefcdde13ed37d41

Pith citing papers

No inbound Pith citation observations are available.