Why Muon Outperforms Adam: A Curvature Perspective | Paper Citation Record

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This paper cites Round and Round We Go! What makes Rotary Positional Encodings useful?.

Why Muon Outperforms Adam: A Curvature Perspective Round and Round We Go! What makes Rotary Positional Encodings useful?

Reference 1

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This paper cites 2024 , url =.

Why Muon Outperforms Adam: A Curvature Perspective 2024 , url =

Reference 10

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

Why Muon Outperforms Adam: A Curvature Perspective Advances in Neural Information Processing Systems , volume=

Reference 11

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Why Muon Outperforms Adam: A Curvature Perspective , author=

Reference 12

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This paper cites IEEE transactions on computers , volume=.

Why Muon Outperforms Adam: A Curvature Perspective IEEE transactions on computers , volume=

Reference 13

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

Why Muon Outperforms Adam: A Curvature Perspective International Conference on Machine Learning , pages=

Reference 14

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This paper cites European Conference on Computer Vision , pages=.

Why Muon Outperforms Adam: A Curvature Perspective European Conference on Computer Vision , pages=

Reference 15

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This paper cites Nature , volume=.

Why Muon Outperforms Adam: A Curvature Perspective Nature , volume=

Reference 16

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This paper cites URL https://kellerjordan.

Why Muon Outperforms Adam: A Curvature Perspective URL https://kellerjordan

Reference 17

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This paper cites High-dimensional Learning Dynamics 2025 , year=.

Why Muon Outperforms Adam: A Curvature Perspective High-dimensional Learning Dynamics 2025 , year=

Reference 21

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This paper cites arXiv e-prints , pages=.

Why Muon Outperforms Adam: A Curvature Perspective arXiv e-prints , pages=

Reference 23

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This paper cites On the Convergence Analysis of Muon.

Why Muon Outperforms Adam: A Curvature Perspective On the Convergence Analysis of Muon

Reference 27

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

Why Muon Outperforms Adam: A Curvature Perspective International Conference on Learning Representations , year=

Reference 29

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

Why Muon Outperforms Adam: A Curvature Perspective Advances in neural information processing systems , volume=

Reference 33

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

Why Muon Outperforms Adam: A Curvature Perspective Advances in Neural Information Processing Systems , volume=

Reference 34

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

Why Muon Outperforms Adam: A Curvature Perspective Advances in neural information processing systems , volume=

Reference 35

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

Why Muon Outperforms Adam: A Curvature Perspective Proceedings of the IEEE/CVF Conference on computer vision and pattern recognition , pages=

Reference 36

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Why Muon Outperforms Adam: A Curvature Perspective Advances in neural information processing systems , volume=

Reference 39

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Why Muon Outperforms Adam: A Curvature Perspective , author=

Reference 40

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This paper cites Zero-Shot Relation Extraction via Reading Comprehension.

Why Muon Outperforms Adam: A Curvature Perspective Zero-Shot Relation Extraction via Reading Comprehension

Reference 42

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This paper cites Mathematics , volume=.

Why Muon Outperforms Adam: A Curvature Perspective Mathematics , volume=

Reference 43

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Why Muon Outperforms Adam: A Curvature Perspective arXiv e-prints , pages=

Reference 44

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

Why Muon Outperforms Adam: A Curvature Perspective Advances in Neural Information Processing Systems , volume=

Reference 45

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Observation eec2132c-6579-4d21-98d0-7bf1a82f197e · outbound

This paper cites How Two-Layer Neural Networks Learn, One (Giant) Step at a Time.

Why Muon Outperforms Adam: A Curvature Perspective How Two-Layer Neural Networks Learn, One (Giant) Step at a Time

Reference 46

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Observation 78fa098d-831c-4a5c-b4dc-f1ef36c984a9 · outbound

This paper cites AlphaEdit: Null-Space Constrained Knowledge Editing for Language Models.

Why Muon Outperforms Adam: A Curvature Perspective AlphaEdit: Null-Space Constrained Knowledge Editing for Language Models

Reference 47

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

Why Muon Outperforms Adam: A Curvature Perspective Advances in Neural Information Processing Systems , volume=

Reference 48

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This paper cites Transformer Feed-Forward Layers Are Key-Value Memories.

Why Muon Outperforms Adam: A Curvature Perspective Transformer Feed-Forward Layers Are Key-Value Memories

Reference 49

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This paper cites Mass-Editing Memory in a Transformer.

Why Muon Outperforms Adam: A Curvature Perspective Mass-Editing Memory in a Transformer

Reference 50

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

Why Muon Outperforms Adam: A Curvature Perspective Advances in neural information processing systems , volume=

Reference 51

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This paper cites Knowledge Neurons in Pretrained Transformers.

Why Muon Outperforms Adam: A Curvature Perspective Knowledge Neurons in Pretrained Transformers

Reference 52

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

Why Muon Outperforms Adam: A Curvature Perspective Advances in neural information processing systems , volume=

Reference 53

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Why Muon Outperforms Adam: A Curvature Perspective Organization of memory , volume=

Reference 54

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This paper cites Understanding Factual Recall in Transformers via Associative Memories.

Why Muon Outperforms Adam: A Curvature Perspective Understanding Factual Recall in Transformers via Associative Memories

Reference 55

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Why Muon Outperforms Adam: A Curvature Perspective A Spectral Condition for Feature Learning

Reference 56

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This paper cites How Transformers Get Rich: Approximation and Dynamics Analysis.

Why Muon Outperforms Adam: A Curvature Perspective How Transformers Get Rich: Approximation and Dynamics Analysis

Reference 58

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

Why Muon Outperforms Adam: A Curvature Perspective Advances in Neural Information Processing Systems , volume=

Reference 59

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Why Muon Outperforms Adam: A Curvature Perspective Advances in Neural Information Processing Systems , volume=

Reference 60

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Why Muon Outperforms Adam: A Curvature Perspective Unveiling Induction Heads: Provable Training Dynamics and Feature Learning in Transformers

Reference 61

Resolution: verified exact; arxiv_id, observed 2026-07-02T07:06:44.925493Z

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This paper cites How Transformers Learn Causal Structure with Gradient Descent.

Why Muon Outperforms Adam: A Curvature Perspective How Transformers Learn Causal Structure with Gradient Descent

Reference 62

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

Why Muon Outperforms Adam: A Curvature Perspective International Conference on Learning Representations , year=

Reference 63

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Why Muon Outperforms Adam: A Curvature Perspective Gemma 3 Technical Report

Reference 64

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Why Muon Outperforms Adam: A Curvature Perspective Physics of Language Models: Part 3.3, Knowledge Capacity Scaling Laws

Reference 65

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Why Muon Outperforms Adam: A Curvature Perspective Proceedings of the National Academy of Sciences , volume=

Reference 66

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Why Muon Outperforms Adam: A Curvature Perspective 2007 15th European signal processing conference , pages=

Reference 67

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Why Muon Outperforms Adam: A Curvature Perspective Kimi K2: Open Agentic Intelligence

Reference 68

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Why Muon Outperforms Adam: A Curvature Perspective Deconstructing What Makes a Good Optimizer for Language Models

Reference 70

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Why Muon Outperforms Adam: A Curvature Perspective MoDeGPT: Modular Decomposition for Large Language Model Compression

Reference 72

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Why Muon Outperforms Adam: A Curvature Perspective IEE proceedings F (radar and signal processing) , volume=

Reference 77

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Why Muon Outperforms Adam: A Curvature Perspective SIAM journal on matrix analysis and applications , volume=

Reference 78

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Why Muon Outperforms Adam: A Curvature Perspective International Conference on Machine Learning , pages=

Reference 79

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Why Muon Outperforms Adam: A Curvature Perspective International conference on machine learning , pages=

Reference 83

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

Why Muon Outperforms Adam: A Curvature Perspective Advances in neural information processing systems , volume=

Reference 84

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Why Muon Outperforms Adam: A Curvature Perspective A New Perspective on Shampoo's Preconditioner

Reference 85

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Why Muon Outperforms Adam: A Curvature Perspective International Conference on Machine Learning , pages=

Reference 86

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Why Muon Outperforms Adam: A Curvature Perspective International conference on machine learning , pages=

Reference 99

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

Why Muon Outperforms Adam: A Curvature Perspective Advances in neural information processing systems , volume=

Reference 101

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This paper cites Large Batch Optimization for Deep Learning: Training BERT in 76 minutes.

Why Muon Outperforms Adam: A Curvature Perspective Large Batch Optimization for Deep Learning: Training BERT in 76 minutes

Reference 102

Resolution: metadata mismatch; local_arxiv, observed 2026-07-02T07:06:44.905705Z

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Observation 0f5bdaee-8582-4180-a923-3c8dd4fa77e6 · outbound

This paper cites Sophia: A Scalable Stochastic Second-order Optimizer for Language Model Pre-training.

Why Muon Outperforms Adam: A Curvature Perspective Sophia: A Scalable Stochastic Second-order Optimizer for Language Model Pre-training

Reference 103

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Observation c492f0e4-3a33-4ae7-8e0d-ad9f543e52d6 · outbound

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

Why Muon Outperforms Adam: A Curvature Perspective Advances in neural information processing systems , volume=

Reference 104

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

Why Muon Outperforms Adam: A Curvature Perspective International conference on machine learning , pages=

Reference 107

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Observation dcc08c05-d46f-4915-9cc2-ae8c05e21e31 · outbound

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

Why Muon Outperforms Adam: A Curvature Perspective Advances in Neural Information Processing Systems , volume=

Reference 109

Resolution: unresolved; no resolver link, observed 2026-06-28T07:04:21.012269Z

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Observation d6ed41ae-fa49-4390-a341-913f83ad4841 · outbound

This paper cites Linear algebra for large scale and real-time applications , pages=.

Why Muon Outperforms Adam: A Curvature Perspective Linear algebra for large scale and real-time applications , pages=

Reference 111

Resolution: unresolved; no resolver link, observed 2026-06-28T07:04:21.012269Z

Source-reported events for the cited work

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Observation 215573d5-6220-40b5-a1b0-80cb2a7b9367 · outbound

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

Why Muon Outperforms Adam: A Curvature Perspective Advances in Neural Information Processing Systems , volume=

Reference 115

Resolution: unresolved; no resolver link, observed 2026-06-28T07:04:21.012269Z

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Observation 28856d8d-6825-4b26-969b-34c47ae5e644 · outbound

This paper cites Dion: Distributed Orthonormalized Updates.

Why Muon Outperforms Adam: A Curvature Perspective Dion: Distributed Orthonormalized Updates

Reference 121

Resolution: verified exact; arxiv_id, observed 2026-07-02T07:06:44.948594Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation b980284d-68e2-4966-bcb6-26a157e2e919 · outbound

This paper cites Asgo: Adaptive structured gradient optimization.arXiv preprint arXiv:2503.20762.

Why Muon Outperforms Adam: A Curvature Perspective Asgo: Adaptive structured gradient optimization.arXiv preprint arXiv:2503.20762

Reference 122

Resolution: verified exact; arxiv_id, observed 2026-07-02T07:06:44.865268Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation ba24a3f1-4358-4ebc-a05b-19ef2c9ce935 · outbound

This paper cites A Modern Look at the Relationship between Sharpness and Generalization.

Why Muon Outperforms Adam: A Curvature Perspective A Modern Look at the Relationship between Sharpness and Generalization

Reference 123

Resolution: verified exact; arxiv_id, observed 2026-07-02T07:06:44.871422Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 78578736-1720-4032-96ce-572526ba7e0d · outbound

This paper cites Scalable Second Order Optimization for Deep Learning.

Why Muon Outperforms Adam: A Curvature Perspective Scalable Second Order Optimization for Deep Learning

Reference 124

Resolution: verified exact; arxiv_id, observed 2026-07-02T07:06:44.896880Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 74080cf3-bf21-4c9d-98ac-f0a235cdc9ee · outbound

This paper cites Modular Duality in Deep Learning.

Why Muon Outperforms Adam: A Curvature Perspective Modular Duality in Deep Learning

Reference 125

Resolution: verified exact; arxiv_id, observed 2026-07-02T07:06:44.919762Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 0c3d0444-f1cf-46eb-8d98-6394693fa768 · outbound

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

Why Muon Outperforms Adam: A Curvature Perspective Old Optimizer, New Norm: An Anthology

Reference 126

Resolution: verified exact; local_arxiv, observed 2026-07-02T07:06:44.887369Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 0f084e89-b3c0-4260-b663-5db5261248dc · outbound

This paper cites Turbo-Muon: Almost-Orthogonal Pre-Conditioning for Fast Muon Updates.

Why Muon Outperforms Adam: A Curvature Perspective Turbo-Muon: Almost-Orthogonal Pre-Conditioning for Fast Muon Updates

Reference 127

Resolution: verified exact; arxiv_id, observed 2026-07-07T03:18:51.225765Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 024b140e-2aeb-4015-bdb1-ef342159d979 · outbound

This paper cites and Souloumiac, A.

Why Muon Outperforms Adam: A Curvature Perspective and Souloumiac, A

Reference 128

Resolution: unresolved; no resolver link, observed 2026-06-28T07:04:21.012269Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c95d3639-4eeb-4c1e-9ed3-1be04b07f222 · outbound

This paper cites and Souloumiac, A.

Why Muon Outperforms Adam: A Curvature Perspective and Souloumiac, A

Reference 129

Resolution: unresolved; no resolver link, observed 2026-06-28T07:04:21.012269Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a754b400-560c-4aa9-a3b2-e2690cabcee4 · outbound

This paper cites Muon optimizes under spectral norm constraints.arXiv preprint arXiv:2506.15054.

Why Muon Outperforms Adam: A Curvature Perspective Muon optimizes under spectral norm constraints.arXiv preprint arXiv:2506.15054

Reference 130

Resolution: verified exact; arxiv_id, observed 2026-07-02T07:16:44.463003Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 3c5bfa5b-dc11-4d2e-a0c2-eef60898dcd9 · outbound

This paper cites , Liu, S.

Why Muon Outperforms Adam: A Curvature Perspective , Liu, S

Reference 131

Resolution: unresolved; no resolver link, observed 2026-06-28T07:04:21.012269Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 96196975-c320-4385-a222-de101ede3cf7 · outbound

This paper cites 2602.13498 , archivePrefix=.

Why Muon Outperforms Adam: A Curvature Perspective 2602.13498 , archivePrefix=

Reference 132

Resolution: verified exact; arxiv_id, observed 2026-07-02T07:06:44.989194Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation c556039a-76c0-4e68-a8d2-1196cd84b577 · outbound

This paper cites Gradient Descent on Neural Networks Typically Occurs at the Edge of Stability.

Why Muon Outperforms Adam: A Curvature Perspective Gradient Descent on Neural Networks Typically Occurs at the Edge of Stability

Reference 133

Resolution: verified exact; arxiv_id, observed 2026-07-02T07:06:44.929203Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 8c2fbe4f-de3a-4a9b-9d47-bff83b8d573a · outbound

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

Why Muon Outperforms Adam: A Curvature Perspective A Simple Convergence Proof of Adam and Adagrad

Reference 134

Resolution: verified exact; arxiv_id, observed 2026-07-02T07:16:44.436046Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 5ce3e0d9-90f1-491a-95a6-4e2cd76c0cc4 · outbound

This paper cites , Pascanu, R.

Why Muon Outperforms Adam: A Curvature Perspective , Pascanu, R

Reference 135

Resolution: unresolved; no resolver link, observed 2026-06-28T07:04:21.012269Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7b81b569-0b11-4d9e-ab69-9e6828f52604 · outbound

This paper cites Towards quantifying the hessian structure of neural networks.arXiv preprint arXiv:2505.02809.

Why Muon Outperforms Adam: A Curvature Perspective Towards quantifying the hessian structure of neural networks.arXiv preprint arXiv:2505.02809

Reference 136

Resolution: verified exact; arxiv_id, observed 2026-07-02T07:06:44.964891Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation ca3e3873-4d25-4b32-bdb8-0f656e9c9a51 · outbound

This paper cites Efficient Sharpness-aware Minimization for Improved Training of Neural Networks.

Why Muon Outperforms Adam: A Curvature Perspective Efficient Sharpness-aware Minimization for Improved Training of Neural Networks

Reference 137

Resolution: verified exact; arxiv_id, observed 2026-07-02T07:16:44.456593Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 94c26712-dde3-44cd-88c3-90b8f093d5b8 · outbound

This paper cites , Zhou, D.

Why Muon Outperforms Adam: A Curvature Perspective , Zhou, D

Reference 138

Resolution: unresolved; no resolver link, observed 2026-06-28T07:04:21.012269Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ab8045c4-94b9-4ea3-aafe-773d40f10433 · outbound

This paper cites , Hazan, E.

Why Muon Outperforms Adam: A Curvature Perspective , Hazan, E

Reference 139

Resolution: unresolved; no resolver link, observed 2026-06-28T07:04:21.012269Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d27a5f1c-7869-4940-9427-149b38d46e91 · outbound

This paper cites Sharpness-Aware Minimization for Efficiently Improving Generalization.

Why Muon Outperforms Adam: A Curvature Perspective Sharpness-Aware Minimization for Efficiently Improving Generalization

Reference 140

Resolution: verified exact; local_arxiv, observed 2026-07-02T07:06:45.006960Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation bb4c78ab-fee9-41ce-9164-9d4f051c6884 · outbound

This paper cites Emergent properties of the local geometry of neural loss landscapes.

Why Muon Outperforms Adam: A Curvature Perspective Emergent properties of the local geometry of neural loss landscapes

Reference 141

Resolution: verified exact; arxiv_id, observed 2026-07-02T07:06:44.958570Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 3db96e1f-6886-44f6-8a7b-7b5d5d6035b8 · outbound

This paper cites , Laurent, C.

Why Muon Outperforms Adam: A Curvature Perspective , Laurent, C

Reference 142

Resolution: unresolved; no resolver link, observed 2026-06-28T07:04:21.012269Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ff4bf424-f464-4177-94d7-0af8145bd590 · outbound

This paper cites Grishina, M.

Why Muon Outperforms Adam: A Curvature Perspective Grishina, M

Reference 143

Resolution: verified exact; arxiv_id, observed 2026-07-02T07:06:44.979940Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation b7fd7ede-67cd-4773-9a34-a15f7025401a · outbound

This paper cites A Novel Convergence Analysis for Algorithms of the Adam Family.

Why Muon Outperforms Adam: A Curvature Perspective A Novel Convergence Analysis for Algorithms of the Adam Family

Reference 144

Resolution: verified exact; arxiv_id, observed 2026-07-02T07:06:44.996018Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation b3e61384-a66f-49da-8b73-592671d42977 · outbound

This paper cites , Koren, T.

Why Muon Outperforms Adam: A Curvature Perspective , Koren, T

Reference 145

Resolution: unresolved; no resolver link, observed 2026-06-28T07:04:21.012269Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5ecb18f8-db40-40b7-a0ec-be4468214bd5 · outbound

This paper cites Gradient Descent Happens in a Tiny Subspace.

Why Muon Outperforms Adam: A Curvature Perspective Gradient Descent Happens in a Tiny Subspace

Reference 146

Resolution: verified exact; local_arxiv, observed 2026-07-02T07:16:44.426469Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 6f6eafa6-0a00-440b-993f-26f5fd1cea8c · outbound

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

Why Muon Outperforms Adam: A Curvature Perspective Low-rank Orthogonalization for Large-scale Matrix Optimization with Applications to Foundation Model Training

Reference 147

Resolution: verified exact; local_arxiv, observed 2026-07-02T07:16:44.413983Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation a5f47752-c63f-41e9-a89c-c16b6c1a393d · outbound

This paper cites 2602.02500 , archiveprefix =.

Why Muon Outperforms Adam: A Curvature Perspective 2602.02500 , archiveprefix =

Reference 148

Resolution: verified exact; arxiv_id, observed 2026-07-02T07:06:45.017055Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation bb889654-3f7d-40ac-872e-ab8b43d0b957 · outbound

This paper cites Averaging Weights Leads to Wider Optima and Better Generalization.

Why Muon Outperforms Adam: A Curvature Perspective Averaging Weights Leads to Wider Optima and Better Generalization

Reference 149

Resolution: verified exact; local_arxiv, observed 2026-07-02T07:06:44.961838Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation a2f226b7-dd67-4174-b6a8-cc12c352cdd0 · outbound

This paper cites , Bernstein, J.

Why Muon Outperforms Adam: A Curvature Perspective , Bernstein, J

Reference 150

Resolution: unresolved; no resolver link, observed 2026-06-28T07:04:21.012269Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 48ad7078-9755-4830-9ab6-cb7bed828e1d · outbound

This paper cites , Jin, Y.

Why Muon Outperforms Adam: A Curvature Perspective , Jin, Y

Reference 151

Resolution: unresolved; no resolver link, observed 2026-06-28T07:04:21.012269Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ce63ca61-6cd3-4e39-9411-588a66901af2 · outbound

This paper cites A scalable measure of loss landscape curvature for analyzing the training dynamics of LLMs.arXiv preprint arXiv:2601.16979.

Why Muon Outperforms Adam: A Curvature Perspective A scalable measure of loss landscape curvature for analyzing the training dynamics of LLMs.arXiv preprint arXiv:2601.16979

Reference 152

Resolution: verified exact; arxiv_id, observed 2026-07-02T07:16:44.417338Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation c9ba5a55-5da1-4bd1-af45-3d200fd12e25 · outbound

This paper cites On Large-Batch Training for Deep Learning: Generalization Gap and Sharp Minima.

Why Muon Outperforms Adam: A Curvature Perspective On Large-Batch Training for Deep Learning: Generalization Gap and Sharp Minima

Reference 153

Resolution: verified exact; local_arxiv, observed 2026-07-02T07:16:44.411311Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 50ad58e6-e2f7-4dfd-af0a-11e0bdecc97e · outbound

This paper cites arXiv preprint arXiv:2510.16981 , year=.

Why Muon Outperforms Adam: A Curvature Perspective arXiv preprint arXiv:2510.16981 , year=

Reference 154

Resolution: verified exact; arxiv_id, observed 2026-07-02T07:16:44.420385Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 6d8e0d5e-12d8-4b86-beb6-0195ea271f0e · outbound

This paper cites Convergence of muon with newton-schulz.

Why Muon Outperforms Adam: A Curvature Perspective Convergence of muon with newton-schulz

Reference 155

Resolution: verified exact; arxiv_id, observed 2026-07-02T07:06:45.003818Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 5d03af4e-8fb1-443a-b954-05048816f1a4 · outbound

This paper cites Sharp Capacity Scaling of Spectral Optimizers in Learning Associative Memory.

Why Muon Outperforms Adam: A Curvature Perspective Sharp Capacity Scaling of Spectral Optimizers in Learning Associative Memory

Reference 156

Resolution: verified exact; local_arxiv, observed 2026-07-02T07:06:45.027082Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 500fc692-ae45-40fe-92a8-8609f2b20817 · outbound

This paper cites Adam: A Method for Stochastic Optimization.

Why Muon Outperforms Adam: A Curvature Perspective Adam: A Method for Stochastic Optimization

Reference 157

Resolution: verified exact; local_arxiv, observed 2026-07-02T07:06:44.926099Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Coverage vector

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Pith citing papers