Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-01T08:50:47.336816Z
Paper Citation Record · LEDGER
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.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-01T08:50:47.336816Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
73 of 73 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 3c50d069-29ae-49bd-9ff6-db04e345740e · outbound
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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Observation 02af2d7f-3a1e-439c-8063-a303f00ffb55 · outbound
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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Observation c694cf3e-1a96-4281-badc-4087eaca19d7 · outbound
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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Observation 8d485295-b39d-4449-8a27-c9c1623b37d7 · outbound
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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Observation 24d3c7cc-ebaa-4c86-8b19-43d750c38325 · outbound
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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Observation 08e0f05e-330e-4e87-b9c0-4f73ab606ea1 · outbound
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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Observation 76092085-cc2a-4f20-912b-48f7d1c7f383 · outbound
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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Observation 93e607d3-3560-4973-bbc3-58267e82bf76 · outbound
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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Observation 68b7475e-ba41-4cc1-bbea-e706ee9022d4 · outbound
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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Observation 9683ace2-8bf8-4f70-a5a5-0d5a23522549 · outbound
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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Observation 68263ae8-9407-4993-87c6-bf1d4b324fab · outbound
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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Observation b4ac6085-7cef-4b35-9996-2631186ccb36 · outbound
Weight-norm Criticality: A Mechanism for Loss Spikes Induced by the Normalization and Weight Decay Greenwade
Reference 12
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Observation 4d66435b-848f-41be-9799-452086a5197b · outbound
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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Observation ff1d4b52-464e-4c3c-a238-677888512589 · outbound
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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Observation fdec7626-9c7a-41a8-ab6a-4a9f23ebe551 · outbound
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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Observation 71e7f561-54f2-4a81-ad47-b6e249b99043 · outbound
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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Observation 3714f7ea-bd17-4ed1-87e2-49b39a1e4753 · outbound
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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Observation c89e712d-ff2f-49b4-88f0-0762b3ca8201 · outbound
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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Observation 78f4c3fa-ee27-4a87-847a-b237b81f01bf · outbound
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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Observation 42128c5a-6378-4e36-bedd-45bf5ee9d41e · outbound
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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Observation ce3c4d6e-f4b6-4b3b-b86d-f90355cdd05f · outbound
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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Observation 758981a4-69c2-4362-9dc1-abdc9518c5a4 · outbound
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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Observation c948cbfc-2532-45ac-8061-b77d7c3210d3 · outbound
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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Observation 8c13421a-82ea-40c0-a15e-b246431cffde · outbound
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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Observation 07379f32-cdb1-41ca-a558-e6fe812b6eef · outbound
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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Observation 027e6191-2577-4b1c-b576-df742fce7f74 · outbound
Weight-norm Criticality: A Mechanism for Loss Spikes Induced by the Normalization and Weight Decay 2025 , eprint=
Reference 26
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Observation b8afb3e1-896f-420e-9d3b-44e60f2f8444 · outbound
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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Observation bdf12044-4cf5-4039-bed6-ae4388208f5f · outbound
Weight-norm Criticality: A Mechanism for Loss Spikes Induced by the Normalization and Weight Decay 2025 , institution =
Reference 28
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Observation 1de2a617-b0ad-4114-8c28-4022a0dcd908 · outbound
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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Observation f57efdc6-53bb-43a7-b87b-4f7727a429ac · outbound
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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Observation ace03bdf-55f9-4e0f-8f3b-68dc723eff14 · outbound
Weight-norm Criticality: A Mechanism for Loss Spikes Induced by the Normalization and Weight Decay 2025 , url=
Reference 31
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Observation 2c254a8e-d036-4ec5-ad04-b008189543f3 · outbound
Weight-norm Criticality: A Mechanism for Loss Spikes Induced by the Normalization and Weight Decay 2005 , edition =
Reference 32
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Observation 291098ac-6303-4e3b-9c1c-f6473047bec8 · outbound
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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Observation 37b17ac5-4854-409f-aee5-781a9abc04d6 · outbound
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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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 1196e2a3-5350-4e4f-9088-890ce11da6c1 · outbound
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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Observation 9911b3b7-a5b6-4ecb-af40-e75b4a2a9654 · outbound
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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Observation 47aea571-b516-4802-b46a-9e7e72b81ee9 · outbound
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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Observation 55ba53fa-3430-4798-a09a-9830a5ea443f · outbound
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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Observation c1c537cc-db42-4e59-b7a0-337ee42671e8 · outbound
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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Observation a4a02ef0-e0fc-4221-8d3b-93d8c90022ea · outbound
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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Observation 9fb2a540-1f8b-44c8-905f-a8b03782a904 · outbound
Weight-norm Criticality: A Mechanism for Loss Spikes Induced by the Normalization and Weight Decay Unresolved cited work
Reference 41
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Observation 8d54af1b-5422-4e11-b159-07480aea771c · outbound
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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Observation 8ea16c42-b9c2-4655-ab80-6e0add5bf808 · outbound
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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Observation e51403e3-7f5a-45fa-86ae-2ab3682fa28e · outbound
Weight-norm Criticality: A Mechanism for Loss Spikes Induced by the Normalization and Weight Decay Unresolved cited work
Reference 44
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Observation c67a4cbd-1874-47ce-89b4-d4ce1edc6b65 · outbound
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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Observation 074e021c-3e6e-45ed-aeed-19f11cff766c · outbound
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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Observation 6394b825-124d-4356-8885-492a8e51e54f · outbound
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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Observation 995b41c9-986f-4efa-99a4-12545112319d · outbound
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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Observation 6eb4aa11-6139-429c-b41c-b22a835280b6 · outbound
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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Observation 38d7c8b4-5238-45c6-b7bb-fc753844a08f · outbound
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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Observation d64b195a-336b-412b-92a0-02ec74bd23ae · outbound
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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Observation 2279d5e6-0658-4bb4-80f7-9d0c7e81dbb5 · outbound
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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Observation b04247f0-7d18-47ad-8e38-b27b5e78fb73 · outbound
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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Observation 05c4c720-1162-4aa0-ad63-e86d1da21025 · outbound
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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Observation 7003e75a-81ab-4830-83de-8026f736f2af · outbound
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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Observation 1bda72ad-9bb0-4c24-818d-bbf7513c6c5a · outbound
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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Observation 463879d1-1b8e-4207-a868-9cbb86002847 · outbound
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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Observation 501dcaae-fa3c-4417-828b-c1ae8e3a766c · outbound
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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Observation a90d9349-bb77-413b-966f-94e9e16de469 · outbound
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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Observation 0741cebe-0303-4481-84a5-c0990a7e405f · outbound
Weight-norm Criticality: A Mechanism for Loss Spikes Induced by the Normalization and Weight Decay 2021 , url=
Reference 60
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Observation c52f06de-75ed-4eb4-9b2b-cc959c36fb97 · outbound
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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Observation 2c12c153-a591-4522-90f8-61a5fc4e4297 · outbound
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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Observation ca577734-1e13-42bf-95e3-e31691acf32e · outbound
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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Observation 0142365c-fed8-4ea2-b5b8-5e5fe01b82ab · outbound
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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Observation 957176aa-2270-489b-9f61-733038cc5650 · outbound
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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Observation c47ef091-e82b-4c5f-aca7-ad541e404999 · outbound
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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Observation d64acf75-c068-4165-855e-ed5f13e9b493 · outbound
Weight-norm Criticality: A Mechanism for Loss Spikes Induced by the Normalization and Weight Decay Layer Normalization
Reference 67
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Observation 1049a9d2-8ada-4c7c-80b5-7648383feee9 · outbound
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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Observation dcb40e31-a58b-40ca-9309-ca5d2c705893 · outbound
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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Observation 3ee028f6-51cb-45ee-9faf-be8337f3ccc1 · outbound
Weight-norm Criticality: A Mechanism for Loss Spikes Induced by the Normalization and Weight Decay Unresolved cited work
Reference 70
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Observation 873ec28e-4416-4780-a8be-72c0de5024e1 · outbound
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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Observation 481e2229-3afe-4d48-b379-5d8805499b69 · outbound
Weight-norm Criticality: A Mechanism for Loss Spikes Induced by the Normalization and Weight Decay ATT Labs [Online]
Reference 72
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Observation cb575da1-722c-40a8-adc7-f92df1441ddb · outbound
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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No inbound Pith citation observations are available.