Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T21:05:46.090449Z
Paper Citation Record · LEDGER
As of 7 August 2026, this Paper Citation Record lists 100 of 194 outbound references and 0 inbound Pith citation observations for arXiv:2608.04607.
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 2026-08-06T21:05:46.090449Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+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
100 of 194 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation ef6edf53-fda0-45ea-9978-63c767d65255 · outbound
On MUON optimization: From non-convergence to an error analysis with Polar Express and the Newton-Schulz polynomial from implementations Unresolved cited work
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Observation b624f69a-1bb4-409b-97cf-b3f04937c1a4 · outbound
Reference 2
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Observation 134d5db5-0b63-4047-8621-722da46f0be7 · outbound
On MUON optimization: From non-convergence to an error analysis with Polar Express and the Newton-Schulz polynomial from implementations Non-Asymptotic Analysis of Stochastic Approximation Algorithms for Machine Learning , url =
Reference 3
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Observation f8d873f7-d16f-4a4c-a2aa-f9cc50d36565 · outbound
On MUON optimization: From non-convergence to an error analysis with Polar Express and the Newton-Schulz polynomial from implementations Proceedings of The 33rd International Conference on Machine Learning , pages =
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Observation 4ef98015-5e69-488b-8d77-f8e631eff3b8 · outbound
On MUON optimization: From non-convergence to an error analysis with Polar Express and the Newton-Schulz polynomial from implementations Unresolved cited work
Reference 5
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Observation 1312d9bd-551b-4585-a375-9ede570d4a15 · outbound
Reference 7
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Observation 224299ec-4c6a-44d9-93b9-b35e09640b81 · outbound
On MUON optimization: From non-convergence to an error analysis with Polar Express and the Newton-Schulz polynomial from implementations Unresolved cited work
Reference 8
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Observation 4f23f5a6-4181-4e61-b114-43e7d881a5a5 · outbound
On MUON optimization: From non-convergence to an error analysis with Polar Express and the Newton-Schulz polynomial from implementations Unresolved cited work
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Observation 30d6ef36-4bd3-416e-8fef-9b5864376c66 · outbound
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Observation 8da74a58-16f5-4c09-acc9-e495482ce73f · outbound
On MUON optimization: From non-convergence to an error analysis with Polar Express and the Newton-Schulz polynomial from implementations Unresolved cited work
Reference 11
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Observation 16214046-2fe2-4cbc-b650-3f503ab17333 · outbound
On MUON optimization: From non-convergence to an error analysis with Polar Express and the Newton-Schulz polynomial from implementations Unresolved cited work
Reference 12
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Observation bb6a8790-928b-4025-a6c3-bbe5c28bf8b6 · outbound
On MUON optimization: From non-convergence to an error analysis with Polar Express and the Newton-Schulz polynomial from implementations Unresolved cited work
Reference 13
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Observation ed335e24-56d7-4d00-9861-f5ee21770522 · outbound
On MUON optimization: From non-convergence to an error analysis with Polar Express and the Newton-Schulz polynomial from implementations 2017 , journal=
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Observation 327c2b1a-dbf3-4884-b3cb-c3f6bba4997d · outbound
On MUON optimization: From non-convergence to an error analysis with Polar Express and the Newton-Schulz polynomial from implementations Unresolved cited work
Reference 15
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Observation ee12193e-b86a-4d72-ab2e-bc274d84be74 · outbound
Reference 16
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Observation a7b50bf9-6316-4f9c-84e2-93ff68667936 · outbound
On MUON optimization: From non-convergence to an error analysis with Polar Express and the Newton-Schulz polynomial from implementations Unresolved cited work
Reference 17
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Observation 593ea46f-cbb8-4e5f-af11-d7e9b6f8bee6 · outbound
On MUON optimization: From non-convergence to an error analysis with Polar Express and the Newton-Schulz polynomial from implementations Exponential moments for numerical approximations of stochastic partial differential equations , JOURNAL =
Reference 18
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Observation 2da89d06-2b19-449c-a597-283623b74d1a · outbound
On MUON optimization: From non-convergence to an error analysis with Polar Express and the Newton-Schulz polynomial from implementations 2018 , eprint =
Reference 19
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Unavailable: canonical work link unavailable.
Observation ffb6ad7e-2edc-4f7b-9163-7a00721045e7 · outbound
On MUON optimization: From non-convergence to an error analysis with Polar Express and the Newton-Schulz polynomial from implementations Neural networks for option pricing and hedging: a literature review
Reference 20
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Unavailable: canonical work link unavailable.
Observation 78ce05b8-9535-402a-804d-8c431dc2c420 · outbound
On MUON optimization: From non-convergence to an error analysis with Polar Express and the Newton-Schulz polynomial from implementations Adam: A Method for Stochastic Optimization
Reference 21
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Unavailable: canonical work link unavailable.
Observation cd80d5b8-57dd-44ca-adc9-7fc222db7b4f · outbound
On MUON optimization: From non-convergence to an error analysis with Polar Express and the Newton-Schulz polynomial from implementations Unresolved cited work
Reference 22
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Unavailable: canonical work link unavailable.
Observation 8a3224f1-d351-424e-8e55-7363201d016e · outbound
On MUON optimization: From non-convergence to an error analysis with Polar Express and the Newton-Schulz polynomial from implementations Non-convergence to global minimizers for Adam and stochastic gradient descent optimization and constructions of local minimizers in the training of artificial neural networks
Reference 23
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Unavailable: canonical work link unavailable.
Observation 132d91df-9950-404e-997d-bbc318e8394a · outbound
On MUON optimization: From non-convergence to an error analysis with Polar Express and the Newton-Schulz polynomial from implementations Unresolved cited work
Reference 24
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Unavailable: canonical work link unavailable.
Observation f525b4c9-1aaa-435c-a322-f04803bfed8f · outbound
On MUON optimization: From non-convergence to an error analysis with Polar Express and the Newton-Schulz polynomial from implementations Unresolved cited work
Reference 25
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Unavailable: canonical work link unavailable.
Observation 618d0095-64f3-47ba-a213-f06f08a17459 · outbound
On MUON optimization: From non-convergence to an error analysis with Polar Express and the Newton-Schulz polynomial from implementations Unresolved cited work
Reference 26
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Unavailable: canonical work link unavailable.
Observation cd88d311-e2a6-44b7-84db-52eb666fc825 · outbound
On MUON optimization: From non-convergence to an error analysis with Polar Express and the Newton-Schulz polynomial from implementations A Sufficient Condition for Convergences of Adam and RMSProp
Reference 27
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Unavailable: canonical work link unavailable.
Observation 916294df-843c-4430-9434-fcfc2c38a0e0 · outbound
On MUON optimization: From non-convergence to an error analysis with Polar Express and the Newton-Schulz polynomial from implementations Adam Can Converge Without Any Modification On Update Rules
Reference 28
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Observation 9cf9df23-533e-4f94-b992-f2e69b06af43 · outbound
On MUON optimization: From non-convergence to an error analysis with Polar Express and the Newton-Schulz polynomial from implementations AdaBelief Optimizer: Adapting Stepsizes by the Belief in Observed Gradients
Reference 29
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Observation c65fb4bf-89cf-4e7c-8d96-7de56644c7cc · outbound
On MUON optimization: From non-convergence to an error analysis with Polar Express and the Newton-Schulz polynomial from implementations Learning the random variables in
Reference 30
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Observation cda10e05-bbf7-461a-b47d-f937ebf221fa · outbound
Reference 31
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Observation b3b74800-1914-4b02-8092-91d40ec6aa3f · outbound
On MUON optimization: From non-convergence to an error analysis with Polar Express and the Newton-Schulz polynomial from implementations SAdam: A Variant of Adam for Strongly Convex Functions
Reference 32
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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation dd2838a0-3954-48f6-92aa-b270b4153fda · outbound
On MUON optimization: From non-convergence to an error analysis with Polar Express and the Newton-Schulz polynomial from implementations Adaptive Gradient Methods with Dynamic Bound of Learning Rate
Reference 33
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Observation 4a427748-22ed-4098-910b-d3ec38d1d512 · outbound
On MUON optimization: From non-convergence to an error analysis with Polar Express and the Newton-Schulz polynomial from implementations AdaLoss: A computationally-efficient and provably convergent adaptive gradient method
Reference 34
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Observation c5a7f235-05fb-4d93-9277-1f554ca8c7d2 · outbound
On MUON optimization: From non-convergence to an error analysis with Polar Express and the Newton-Schulz polynomial from implementations AdamL: A fast adaptive gradient method incorporating loss function
Reference 35
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Observation 9074afea-ee3e-4338-b345-864366eec263 · outbound
On MUON optimization: From non-convergence to an error analysis with Polar Express and the Newton-Schulz polynomial from implementations EAdam Optimizer: How $\epsilon$ Impact Adam
Reference 36
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Observation dbf6e088-0407-431f-aedd-bc40d64fc183 · outbound
Reference 37
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Observation 52b803b2-b10c-4d3f-b041-941f7cae6726 · outbound
On MUON optimization: From non-convergence to an error analysis with Polar Express and the Newton-Schulz polynomial from implementations IMA J. Numer. Anal. , fjournal =. 2020 , abstract =
Reference 38
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Observation 4ac3128d-025b-41dc-96e4-2ef07b6eed7d · outbound
On MUON optimization: From non-convergence to an error analysis with Polar Express and the Newton-Schulz polynomial from implementations GPT-4 Technical Report
Reference 39
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Unavailable: canonical work link unavailable.
Observation 655bfaf9-48d4-4e3c-b307-b68f09496e54 · outbound
On MUON optimization: From non-convergence to an error analysis with Polar Express and the Newton-Schulz polynomial from implementations Unresolved cited work
Reference 40
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Observation 113350d9-4411-4d25-94cd-99b1f360fde8 · outbound
On MUON optimization: From non-convergence to an error analysis with Polar Express and the Newton-Schulz polynomial from implementations Language Models are Few-Shot Learners
Reference 41
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Observation 3fef7b56-7cdb-44ce-be2e-17d1251ead28 · outbound
Reference 42
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Observation 3e9058e8-f214-4ccc-bf0c-ff11b2e398c1 · outbound
On MUON optimization: From non-convergence to an error analysis with Polar Express and the Newton-Schulz polynomial from implementations Unresolved cited work
Reference 43
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Observation c21ec59b-74b9-4224-a17b-d2ef119b0399 · outbound
On MUON optimization: From non-convergence to an error analysis with Polar Express and the Newton-Schulz polynomial from implementations Physics-informed neural networks (PINNs) for fluid mechanics: A review
Reference 44
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Observation 271e7004-38ac-45c0-9d85-6f390262e10a · outbound
Reference 45
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Observation 28a00e1d-c232-43f6-ab35-fdf2c7069dac · outbound
On MUON optimization: From non-convergence to an error analysis with Polar Express and the Newton-Schulz polynomial from implementations Unresolved cited work
Reference 46
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Observation 936873fd-e673-4463-b6ea-c41dc8bc6f04 · outbound
On MUON optimization: From non-convergence to an error analysis with Polar Express and the Newton-Schulz polynomial from implementations Discrete Contin
Reference 47
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Observation 71ea76ee-ce58-4751-b697-a7c1c371dc23 · outbound
On MUON optimization: From non-convergence to an error analysis with Polar Express and the Newton-Schulz polynomial from implementations Unresolved cited work
Reference 48
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Observation da743a29-7a52-40f8-8239-a373cb478296 · outbound
Reference 49
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Observation b6ca29d9-bc46-4b86-82ec-7c7382548e95 · outbound
On MUON optimization: From non-convergence to an error analysis with Polar Express and the Newton-Schulz polynomial from implementations Unresolved cited work
Reference 50
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Unavailable: canonical work link unavailable.
Observation db754b54-44f2-4b8a-9067-40dc487d7e42 · outbound
On MUON optimization: From non-convergence to an error analysis with Polar Express and the Newton-Schulz polynomial from implementations and Perdikaris, P
Reference 51
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Observation dba54739-f6b2-4912-bd2c-1ad97020a6c8 · outbound
Reference 52
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Observation 63e6af98-2245-4982-b6a8-789ff45f2788 · outbound
On MUON optimization: From non-convergence to an error analysis with Polar Express and the Newton-Schulz polynomial from implementations Zero-Shot Text-to-Image Generation
Reference 53
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Observation a1a299e3-ad0f-45b5-b8ca-e7042b925e8c · outbound
On MUON optimization: From non-convergence to an error analysis with Polar Express and the Newton-Schulz polynomial from implementations Nonlinearity , FJOURNAL =
Reference 54
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Observation 3c4a2616-d829-4701-96e7-7f79aaba2d17 · outbound
On MUON optimization: From non-convergence to an error analysis with Polar Express and the Newton-Schulz polynomial from implementations (2004) , publisher=
Reference 55
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Observation 666d008b-54a2-4eea-8dbb-a83ba4ac4423 · outbound
On MUON optimization: From non-convergence to an error analysis with Polar Express and the Newton-Schulz polynomial from implementations (2014), xii+638 , publisher=
Reference 56
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Observation 3495882c-9527-4380-a56a-ec75828ea298 · outbound
On MUON optimization: From non-convergence to an error analysis with Polar Express and the Newton-Schulz polynomial from implementations (2021), xii+946 , PAGES =
Reference 57
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Observation 0c5e4bbb-4ab9-4a9c-863f-14ddacf91521 · outbound
On MUON optimization: From non-convergence to an error analysis with Polar Express and the Newton-Schulz polynomial from implementations 2012 , numpages =
Reference 58
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Observation 05b3c1b1-c39b-4e39-999a-4887e28b5442 · outbound
On MUON optimization: From non-convergence to an error analysis with Polar Express and the Newton-Schulz polynomial from implementations Unresolved cited work
Reference 59
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Observation fde2b7ae-d8aa-4dca-af0c-4e7a4fd6aaa7 · outbound
On MUON optimization: From non-convergence to an error analysis with Polar Express and the Newton-Schulz polynomial from implementations (2014), xviii+493 , PAGES =
Reference 60
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Observation b05289f5-6412-4866-9761-f801d686ca29 · outbound
On MUON optimization: From non-convergence to an error analysis with Polar Express and the Newton-Schulz polynomial from implementations Unresolved cited work
Reference 61
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Observation 4ce9fdcb-a434-450d-8e3f-46a0d6a9dfa0 · outbound
On MUON optimization: From non-convergence to an error analysis with Polar Express and the Newton-Schulz polynomial from implementations and Lahiri, Soumendra N
Reference 62
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Observation 17b57d93-96c3-4f1f-89fd-609523e1efc1 · outbound
On MUON optimization: From non-convergence to an error analysis with Polar Express and the Newton-Schulz polynomial from implementations Nature Reviews Physics , volume=
Reference 63
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Observation 5bbf577b-e4d6-4ea8-9ade-eb26d146b2a3 · outbound
Reference 64
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Observation 5de6506a-a9bf-451c-8710-0f8a3eba76c3 · outbound
On MUON optimization: From non-convergence to an error analysis with Polar Express and the Newton-Schulz polynomial from implementations Unresolved cited work
Reference 65
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Observation 3c19cc74-fb5f-496f-b65b-51ecc69aa5f1 · outbound
On MUON optimization: From non-convergence to an error analysis with Polar Express and the Newton-Schulz polynomial from implementations Unresolved cited work
Reference 66
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Observation a1d75aa5-d140-4b16-b7ff-85ae34942ced · outbound
Reference 67
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Observation 680e00b8-0dea-4470-8857-a1d801fb1a4e · outbound
On MUON optimization: From non-convergence to an error analysis with Polar Express and the Newton-Schulz polynomial from implementations Unresolved cited work
Reference 68
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Observation ace1c0c9-e6ee-46fe-8608-0918f902d4ad · outbound
On MUON optimization: From non-convergence to an error analysis with Polar Express and the Newton-Schulz polynomial from implementations (2023), 426–452 , X=
Reference 69
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Observation 9b2be8f5-7ff3-4821-89f5-fa5b8b4b3d55 · outbound
On MUON optimization: From non-convergence to an error analysis with Polar Express and the Newton-Schulz polynomial from implementations Optimization for deep learning: theory and algorithms , year =
Reference 70
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Observation 44f502ab-686b-476a-8bef-d113b5caa7b1 · outbound
On MUON optimization: From non-convergence to an error analysis with Polar Express and the Newton-Schulz polynomial from implementations Non asymptotic analysis of Adaptive stochastic gradient algorithms and applications
Reference 71
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Observation cd0fb3d7-0d90-43ba-afdb-8a3510797c7e · outbound
On MUON optimization: From non-convergence to an error analysis with Polar Express and the Newton-Schulz polynomial from implementations SIAM Journal on Mathematics of Data Science , volume =
Reference 72
Source-reported events for the cited work
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Observation f6a43a63-ace8-4132-a38f-57d82434ac39 · outbound
On MUON optimization: From non-convergence to an error analysis with Polar Express and the Newton-Schulz polynomial from implementations 2021 , number =
Reference 73
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Observation bcf0c3dd-7bbf-4d9c-a3b4-b140347e1af3 · outbound
On MUON optimization: From non-convergence to an error analysis with Polar Express and the Newton-Schulz polynomial from implementations Unresolved cited work
Reference 74
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Observation 9be26feb-79ba-4624-a794-d45fe06393f6 · outbound
On MUON optimization: From non-convergence to an error analysis with Polar Express and the Newton-Schulz polynomial from implementations Revisiting Convergence of AdaGrad with Relaxed Assumptions
Reference 75
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Observation b0895d6e-ca3c-494a-9ef8-c40093079df1 · outbound
Reference 76
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Observation f38bf10b-fc28-4631-b1c3-f59f796adda8 · outbound
On MUON optimization: From non-convergence to an error analysis with Polar Express and the Newton-Schulz polynomial from implementations Unresolved cited work
Reference 77
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Observation fe6e7149-ed87-40e7-9380-9b4398ea84eb · outbound
On MUON optimization: From non-convergence to an error analysis with Polar Express and the Newton-Schulz polynomial from implementations 2016 , journal=
Reference 78
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Observation 5cb91c23-7554-41a4-861b-7deacdb74107 · outbound
On MUON optimization: From non-convergence to an error analysis with Polar Express and the Newton-Schulz polynomial from implementations Mathematical Introduction to Deep Learning: Methods, Implementations, and Theory
Reference 79
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Observation fbc48e27-0ed3-4a34-9c3a-49b64e3093de · outbound
Reference 80
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Observation 31724c79-80b6-499e-a949-e531f8fcac33 · outbound
Reference 81
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Observation fa6dc24e-0a64-4d15-a9f1-7d332399b3b6 · outbound
Reference 82
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Unavailable: canonical work link unavailable.
Observation 271322d3-a056-4038-8ca7-841bfc3f6dc2 · outbound
On MUON optimization: From non-convergence to an error analysis with Polar Express and the Newton-Schulz polynomial from implementations Kingma and Jimmy Ba , title =
Reference 83
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Observation 01166245-1965-43f6-9f76-6726337de619 · outbound
Reference 84
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Observation 7c5c1c11-65bc-4b8a-adc7-521f9c8c8cef · outbound
On MUON optimization: From non-convergence to an error analysis with Polar Express and the Newton-Schulz polynomial from implementations Zeiler , title=
Reference 85
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Observation 563c6af3-713c-486d-96df-e4d886cffaff · outbound
On MUON optimization: From non-convergence to an error analysis with Polar Express and the Newton-Schulz polynomial from implementations Journal of Machine Learning Research , year =
Reference 86
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Observation d0b6e99e-e1a4-4186-8bc3-283cb4983ddb · outbound
On MUON optimization: From non-convergence to an error analysis with Polar Express and the Newton-Schulz polynomial from implementations Proceedings of the USSR Academy of Sciences , year=
Reference 87
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Observation 800bd81c-f5d3-4628-bf4c-09e34a768288 · outbound
Reference 88
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Observation c748cfbb-63c8-4edb-80f8-efd619b156cf · outbound
On MUON optimization: From non-convergence to an error analysis with Polar Express and the Newton-Schulz polynomial from implementations Muller and Philippe von Wurstemberger , title=
Reference 89
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Observation 398ea0be-cd3f-4e77-ad7b-d9f61f127a72 · outbound
On MUON optimization: From non-convergence to an error analysis with Polar Express and the Newton-Schulz polynomial from implementations Unresolved cited work
Reference 90
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Observation a56e1711-d39a-476f-9bb0-004303208d02 · outbound
On MUON optimization: From non-convergence to an error analysis with Polar Express and the Newton-Schulz polynomial from implementations Unresolved cited work
Reference 91
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Observation 6d7c19a8-da87-46df-a3fb-08221a56e887 · outbound
On MUON optimization: From non-convergence to an error analysis with Polar Express and the Newton-Schulz polynomial from implementations The analysis of linear partial differential operators
Reference 92
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Observation 86ce3d9d-631f-45ae-846c-a538e978bf9f · outbound
On MUON optimization: From non-convergence to an error analysis with Polar Express and the Newton-Schulz polynomial from implementations Unresolved cited work
Reference 93
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Observation e2a9b84d-e898-44e5-bced-ef3e07834e7d · outbound
On MUON optimization: From non-convergence to an error analysis with Polar Express and the Newton-Schulz polynomial from implementations A proof of convergence for the gradient descent optimization method with random initializations in the training of neural networks with ReLU activation for piecewise linear target functions
Reference 94
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Observation 680be056-bcc0-42d3-b004-40129425f5e3 · outbound
On MUON optimization: From non-convergence to an error analysis with Polar Express and the Newton-Schulz polynomial from implementations A mathematical model for automatic differentiation in machine learning , url =
Reference 95
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Observation f35830b2-dd04-4713-9d95-945a6d9c9552 · outbound
On MUON optimization: From non-convergence to an error analysis with Polar Express and the Newton-Schulz polynomial from implementations On Correctness of Automatic Differentiation for Non-Differentiable Functions , url =
Reference 96
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Observation 596f7fcb-c1d5-4a32-a976-7d55a5353cbb · outbound
On MUON optimization: From non-convergence to an error analysis with Polar Express and the Newton-Schulz polynomial from implementations NeurIPS , year=
Reference 97
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Observation 65aa3f06-98ac-4417-a44f-6099037da30d · outbound
On MUON optimization: From non-convergence to an error analysis with Polar Express and the Newton-Schulz polynomial from implementations Unresolved cited work
Reference 98
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Observation da180ae2-960a-447c-81dd-5d7fbdc7145e · outbound
On MUON optimization: From non-convergence to an error analysis with Polar Express and the Newton-Schulz polynomial from implementations Unresolved cited work
Reference 99
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Observation 7b525e43-a7ed-479b-bffd-cab009ca7f66 · outbound
On MUON optimization: From non-convergence to an error analysis with Polar Express and the Newton-Schulz polynomial from implementations Unresolved cited work
Reference 100
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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 35cabb40-1329-4f68-9982-ce269dd0d7cc · outbound
On MUON optimization: From non-convergence to an error analysis with Polar Express and the Newton-Schulz polynomial from implementations Unresolved cited work
Reference 101
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No inbound Pith citation observations are available.