Paper Citation Record · LEDGER

MiMuon: Mixed Muon Optimizer with Improved Generalization for Large Models

As of 19 August 2026, this Paper Citation Record lists 44 of 44 outbound references and 2 inbound Pith citation observations for arXiv:2605.19619.

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

pith.paper-citation-record.v1
2605.19619 v1

Coverage vector

measured 44 of 44 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-20T08:10:14.711735Z

measured 46 of 46 standing notices

One-hop event checks from named stored sources.

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measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-04T04:19:37.724140Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

44 of 44 outbound references displayed

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verified fuzzy20
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External citation measurements

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Outbound references

Observation 29e4659d-ca7a-4b95-8fa2-0f212eb30ae4 · outbound

This paper cites SIAM.

MiMuon: Mixed Muon Optimizer with Improved Generalization for Large Models SIAM

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-05-20T08:13:24.842739Z

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Observation 9e0f1fe8-18a4-4f45-96f5-e968fd446dfe · outbound

This paper cites Old Optimizer, New Norm: An Anthology.

MiMuon: Mixed Muon Optimizer with Improved Generalization for Large Models Old Optimizer, New Norm: An Anthology

Reference 2

Resolution: verified exact; local_arxiv, observed 2026-05-20T08:13:08.260499Z

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Observation e6c8271c-ccf0-4c31-aee0-a2bfd1ddac67 · outbound

This paper cites Optimization methods for large-scale machine learning.SIAM review, 60(2):223–311.

MiMuon: Mixed Muon Optimizer with Improved Generalization for Large Models Optimization methods for large-scale machine learning.SIAM review, 60(2):223–311

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-05-20T08:13:24.865568Z

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Observation 3f5f8f4b-4061-41bf-86b8-fe023b42d8e6 · outbound

This paper cites On the Convergence of Muon and Beyond.

MiMuon: Mixed Muon Optimizer with Improved Generalization for Large Models On the Convergence of Muon and Beyond

Reference 4

Resolution: verified exact; local_arxiv, observed 2026-05-20T08:13:08.263494Z

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Observation 2dffdd8b-bc04-4d98-abf3-dc0db2a50054 · outbound

This paper cites Symbolic discovery of optimization algorithms.

MiMuon: Mixed Muon Optimizer with Improved Generalization for Large Models Symbolic discovery of optimization algorithms

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-05-20T08:13:24.876384Z

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Observation d39fbfda-e927-44e0-8779-953b4bfeb699 · outbound

This paper cites To Use or not to Use Muon: How Simplicity Bias in Optimizers Matters.

MiMuon: Mixed Muon Optimizer with Improved Generalization for Large Models To Use or not to Use Muon: How Simplicity Bias in Optimizers Matters

Reference 6

Resolution: verified exact; arxiv_id, observed 2026-06-30T03:18:06.554181Z

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Observation 3b3e3e53-423b-423b-a7e5-7ddacf91d1fc · outbound

This paper cites Combining axes precondi- tioners through kronecker approximation for deep learning.

MiMuon: Mixed Muon Optimizer with Improved Generalization for Large Models Combining axes precondi- tioners through kronecker approximation for deep learning

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-05-20T08:13:24.850530Z

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Observation 53c48c25-8f64-4b10-a3e5-0979bb03224d · outbound

This paper cites Shampoo: Preconditioned stochastic tensor optimization.

MiMuon: Mixed Muon Optimizer with Improved Generalization for Large Models Shampoo: Preconditioned stochastic tensor optimization

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-05-20T08:13:24.853947Z

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Observation 45b08244-b4ed-4b46-b466-5c88cf28e743 · outbound

This paper cites Trainfaster,generalizebetter: Stabilityofstochasticgradientdescent.

MiMuon: Mixed Muon Optimizer with Improved Generalization for Large Models Trainfaster,generalizebetter: Stabilityofstochasticgradientdescent

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-05-20T08:13:24.853728Z

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Observation 82874cdc-20ce-45d2-82fc-df4f5ef33ab2 · outbound

This paper cites Variance-reduced and projection-free stochastic optimization.

MiMuon: Mixed Muon Optimizer with Improved Generalization for Large Models Variance-reduced and projection-free stochastic optimization

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-05-20T08:13:24.832148Z

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Observation 0c05e2db-2d5e-4018-9d94-75dc16ace877 · outbound

This paper cites Low-rank Orthogonalization for Large-scale Matrix Optimization with Applications to Foundation Model Training.

MiMuon: Mixed Muon Optimizer with Improved Generalization for Large Models Low-rank Orthogonalization for Large-scale Matrix Optimization with Applications to Foundation Model Training

Reference 11

Resolution: verified exact; local_arxiv, observed 2026-05-20T08:13:08.314267Z

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Observation 0f29fe57-6b63-479a-8779-8821bcf5f848 · outbound

This paper cites LiMuon: Light and Fast Muon Optimizer for Large Models.

MiMuon: Mixed Muon Optimizer with Improved Generalization for Large Models LiMuon: Light and Fast Muon Optimizer for Large Models

Reference 12

Resolution: metadata mismatch; arxiv_id, observed 2026-06-01T02:02:18.613734Z

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Observation e7fad70b-c5b6-4117-aa24-4d1886edd039 · outbound

This paper cites Muon: An optimizer for hidden layers in neural networks.URL https://kellerjordan.

MiMuon: Mixed Muon Optimizer with Improved Generalization for Large Models Muon: An optimizer for hidden layers in neural networks.URL https://kellerjordan

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-05-20T08:13:24.847105Z

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Observation 1ca2b02e-d262-4591-817e-d13fbbed18d8 · outbound

This paper cites Convergence of muon with newton-schulz.

MiMuon: Mixed Muon Optimizer with Improved Generalization for Large Models Convergence of muon with newton-schulz

Reference 14

Resolution: verified exact; arxiv_id, observed 2026-05-20T08:13:08.326652Z

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Observation a4872cac-673e-4c5b-83c4-08d1716e881f · outbound

This paper cites Adam: A Method for Stochastic Optimization.

MiMuon: Mixed Muon Optimizer with Improved Generalization for Large Models Adam: A Method for Stochastic Optimization

Reference 15

Resolution: verified exact; local_arxiv, observed 2026-05-20T08:13:08.329300Z

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Observation e5bdcb5e-c7a0-4ad1-9652-0246994ced76 · outbound

This paper cites Understanding Gradient Orthogonalization for Deep Learning via Non-Euclidean Trust-Region Optimization.

MiMuon: Mixed Muon Optimizer with Improved Generalization for Large Models Understanding Gradient Orthogonalization for Deep Learning via Non-Euclidean Trust-Region Optimization

Reference 16

Resolution: verified exact; arxiv_id, observed 2026-05-20T08:13:08.332905Z

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Observation 359ddfdb-a869-4929-a407-f12365b40b55 · outbound

This paper cites Imagenet classification with deep convolutional neural networks.Communications of the ACM, 60(6):84–90.

MiMuon: Mixed Muon Optimizer with Improved Generalization for Large Models Imagenet classification with deep convolutional neural networks.Communications of the ACM, 60(6):84–90

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-05-20T08:13:24.843826Z

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Observation ff660517-b6cf-42a8-9ee6-9596fbf743a8 · outbound

This paper cites arXiv preprint arXiv:2602.17155 , year=.

MiMuon: Mixed Muon Optimizer with Improved Generalization for Large Models arXiv preprint arXiv:2602.17155 , year=

Reference 18

Resolution: verified exact; arxiv_id, observed 2026-05-20T08:13:08.320442Z

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Observation 8372ee1a-e25c-4766-b828-08256756f8e2 · outbound

This paper cites Stability and generalization of stochastic optimization with nonconvex and nonsmooth problems.

MiMuon: Mixed Muon Optimizer with Improved Generalization for Large Models Stability and generalization of stochastic optimization with nonconvex and nonsmooth problems

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-05-20T08:13:24.860032Z

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Observation 0577ffeb-98ea-4f82-8d82-b19c0ea44193 · outbound

This paper cites Fine-grainedanalysisofstabilityandgeneralizationforstochasticgradientdescent.

MiMuon: Mixed Muon Optimizer with Improved Generalization for Large Models Fine-grainedanalysisofstabilityandgeneralizationforstochasticgradientdescent

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-05-20T08:13:24.868003Z

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Observation c707ac7f-1707-4829-b40b-80accbec84ce · outbound

This paper cites A Note on the Convergence of Muon.

MiMuon: Mixed Muon Optimizer with Improved Generalization for Large Models A Note on the Convergence of Muon

Reference 21

Resolution: metadata mismatch; arxiv_id, observed 2026-05-20T08:13:08.311412Z

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Observation 7e5e0ac7-5f69-452b-b20c-7eea6194db59 · outbound

This paper cites Muon is Scalable for LLM Training.

MiMuon: Mixed Muon Optimizer with Improved Generalization for Large Models Muon is Scalable for LLM Training

Reference 22

Resolution: verified exact; local_arxiv, observed 2026-05-20T08:13:08.317153Z

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Observation 87f06778-4073-42dc-9f80-495df0fcf78a · outbound

This paper cites Mars-m: When variance reduction meets matrices.

MiMuon: Mixed Muon Optimizer with Improved Generalization for Large Models Mars-m: When variance reduction meets matrices

Reference 23

Resolution: verified exact; arxiv_id, observed 2026-05-20T08:13:08.323747Z

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Observation 703c1601-ec4b-4212-970a-60548504c453 · outbound

This paper cites Decoupled Weight Decay Regularization.

MiMuon: Mixed Muon Optimizer with Improved Generalization for Large Models Decoupled Weight Decay Regularization

Reference 24

Resolution: verified exact; local_arxiv, observed 2026-05-20T08:13:08.335795Z

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Observation bc4f9095-d838-4956-a4ad-1ee6682b71e8 · outbound

This paper cites Charles H Martin and Christopher Hinrichs.

MiMuon: Mixed Muon Optimizer with Improved Generalization for Large Models Charles H Martin and Christopher Hinrichs

Reference 25

Resolution: metadata mismatch; arxiv_id, observed 2026-05-20T08:13:08.304003Z

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Observation 90f930fd-0532-4e7a-a872-0ca1648d556e · outbound

This paper cites Training Deep Learning Models with Norm-Constrained LMOs.

MiMuon: Mixed Muon Optimizer with Improved Generalization for Large Models Training Deep Learning Models with Norm-Constrained LMOs

Reference 26

Resolution: verified exact; arxiv_id, observed 2026-05-21T21:22:37.653978Z

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Observation 4ae2af87-42de-4908-ace7-25402a579c69 · outbound

This paper cites arXiv preprint arXiv:2506.01913 (2025).

MiMuon: Mixed Muon Optimizer with Improved Generalization for Large Models arXiv preprint arXiv:2506.01913 (2025)

Reference 27

Resolution: verified exact; arxiv_id, observed 2026-05-20T08:13:08.296247Z

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Observation f1bc9b73-db33-4f91-b28d-5277c38fbb71 · outbound

This paper cites Muon is provably faster with momentum variance reduction.

MiMuon: Mixed Muon Optimizer with Improved Generalization for Large Models Muon is provably faster with momentum variance reduction

Reference 28

Resolution: verified exact; arxiv_id, observed 2026-05-20T08:13:08.288942Z

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Observation 20cddf3c-2cc1-4687-8ae2-39c328c1fa4c · outbound

This paper cites On the gener- alization of stochastic gradient descent with momentum.Journal of Machine Learning Research, 25(22):1–56.

MiMuon: Mixed Muon Optimizer with Improved Generalization for Large Models On the gener- alization of stochastic gradient descent with momentum.Journal of Machine Learning Research, 25(22):1–56

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-05-20T08:13:24.865973Z

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Observation c5846eea-cb46-4c82-bf10-5b95795708ec · outbound

This paper cites Sumo: Subspace-aware moment- orthogonalization for accelerating memory-efficient llm training.

MiMuon: Mixed Muon Optimizer with Improved Generalization for Large Models Sumo: Subspace-aware moment- orthogonalization for accelerating memory-efficient llm training

Reference 30

Resolution: verified exact; arxiv_id, observed 2026-05-20T08:13:08.292289Z

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Observation 66c05d6b-7ffb-47a8-9121-8ac607731255 · outbound

This paper cites Gluon: Making Muon & Scion Great Again! (Bridging Theory and Practice of LMO-based Optimizers for LLMs).

MiMuon: Mixed Muon Optimizer with Improved Generalization for Large Models Gluon: Making Muon & Scion Great Again! (Bridging Theory and Practice of LMO-based Optimizers for LLMs)

Reference 31

Resolution: verified exact; arxiv_id, observed 2026-05-20T08:13:08.300435Z

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Observation e7922a00-ffb3-4f26-987b-84805401ee22 · outbound

This paper cites A stochastic approximation method.The annals of mathematical statistics, pages 400–407.

MiMuon: Mixed Muon Optimizer with Improved Generalization for Large Models A stochastic approximation method.The annals of mathematical statistics, pages 400–407

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-05-20T08:13:24.871133Z

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Observation 10f0c8a5-014f-484e-b69a-7ed177258383 · outbound

This paper cites Yolo26: Key architectural enhancements and performance bench- marking for real-time object detection.

MiMuon: Mixed Muon Optimizer with Improved Generalization for Large Models Yolo26: Key architectural enhancements and performance bench- marking for real-time object detection

Reference 33

Resolution: verified exact; arxiv_id, observed 2026-05-20T08:13:08.282484Z

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Observation bc2425e5-1e27-4a6a-9a0e-9887c8b8e84a · outbound

This paper cites Lions and Muons: Optimization via Stochastic Frank-Wolfe under Heavy-Tailed Noise.

MiMuon: Mixed Muon Optimizer with Improved Generalization for Large Models Lions and Muons: Optimization via Stochastic Frank-Wolfe under Heavy-Tailed Noise

Reference 34

Resolution: verified exact; arxiv_id, observed 2026-07-28T01:21:32.152085Z

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Observation b731ffab-e136-4ad3-9687-b9caeb8714b3 · outbound

This paper cites Learnability, stability and uniform convergence.The Journal of Machine Learning Research, 11:2635–2670.

MiMuon: Mixed Muon Optimizer with Improved Generalization for Large Models Learnability, stability and uniform convergence.The Journal of Machine Learning Research, 11:2635–2670

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-05-20T08:13:24.862172Z

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Observation 7d5818ff-b8a7-4cc7-b377-e88ce7c4f8db · outbound

This paper cites On the Convergence Analysis of Muon.

MiMuon: Mixed Muon Optimizer with Improved Generalization for Large Models On the Convergence Analysis of Muon

Reference 36

Resolution: verified exact; local_arxiv, observed 2026-05-20T08:13:08.275659Z

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Observation 97cd6aae-58ab-4769-8f50-0209e025a0d1 · outbound

This paper cites ArXiv Preprint: 2511.00674 , Year =.

MiMuon: Mixed Muon Optimizer with Improved Generalization for Large Models ArXiv Preprint: 2511.00674 , Year =

Reference 37

Resolution: metadata mismatch; arxiv_id, observed 2026-05-20T08:13:08.279033Z

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Observation 52afabd6-c6f6-4945-8ffd-b1c186882b94 · outbound

This paper cites On the importance of initialization and momentum in deep learning.

MiMuon: Mixed Muon Optimizer with Improved Generalization for Large Models On the importance of initialization and momentum in deep learning

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-05-20T08:13:24.826636Z

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Observation 4d6629f2-cbaa-496f-9f65-4068e0ee4718 · outbound

This paper cites Qwen3 technical report.

MiMuon: Mixed Muon Optimizer with Improved Generalization for Large Models Qwen3 technical report

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-05-20T08:13:24.879436Z

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Observation afc05cc5-941a-4ac4-ae45-b99e3a68dc92 · outbound

This paper cites On generalization of spectral gradient descent: A case study on imbalanced data.

MiMuon: Mixed Muon Optimizer with Improved Generalization for Large Models On generalization of spectral gradient descent: A case study on imbalanced data

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-05-20T08:13:24.859455Z

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Observation ad2cc4d3-cf6c-42e6-a0e9-394152973a61 · outbound

This paper cites Attention is all you need.Advances in neural information processing systems, 30.

MiMuon: Mixed Muon Optimizer with Improved Generalization for Large Models Attention is all you need.Advances in neural information processing systems, 30

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-05-20T08:13:24.835563Z

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Observation 269e7726-0e5d-42e7-b26d-39531eb72668 · outbound

This paper cites Sign-Based Optimizers Are Effective Under Heavy-Tailed Noise.

MiMuon: Mixed Muon Optimizer with Improved Generalization for Large Models Sign-Based Optimizers Are Effective Under Heavy-Tailed Noise

Reference 42

Resolution: verified exact; local_arxiv, observed 2026-05-20T08:13:08.272996Z

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Observation 639ad069-f14b-4806-820e-dbdd88484d83 · outbound

This paper cites A useful variant of the davis–kahan theorem for statisticians.

MiMuon: Mixed Muon Optimizer with Improved Generalization for Large Models A useful variant of the davis–kahan theorem for statisticians

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-05-20T08:13:24.873896Z

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Observation c03b6f8d-ab4d-4adf-a0b4-9a15bf5af4de · outbound

This paper cites Cambridge University Press.

MiMuon: Mixed Muon Optimizer with Improved Generalization for Large Models Cambridge University Press

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-05-20T08:13:24.856417Z

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Pith citing papers

Observation e7de550a-ad9b-4509-9823-f6686917e6e7 · inbound

When Does Muon Help Agentic Reinforcement Learning? cites this paper.

When Does Muon Help Agentic Reinforcement Learning? MiMuon: Mixed Muon Optimizer with Improved Generalization for Large Models

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-01T21:13:38.712209Z

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Unavailable: canonical work link unavailable.

Observation 480bcf6f-b36b-4529-b349-a8c5530ef28b · inbound

When Does Muon Help Agentic Reinforcement Learning? cites this paper.

When Does Muon Help Agentic Reinforcement Learning? MiMuon: Mixed Muon Optimizer with Improved Generalization for Large Models

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-04T04:19:37.724140Z

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Unavailable: canonical work link unavailable.