Paper Citation Record · LEDGER

Decoupling Variance and Scale-Invariant Updates in Adaptive Gradient Descent for Unified Vector and Matrix Optimization

As of 18 August 2026, this Paper Citation Record lists 66 of 66 outbound references and 1 inbound Pith citation observation for arXiv:2602.06880.

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

pith.paper-citation-record.v1
2602.06880 v2

Coverage vector

measured 66 of 66 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T03:56:43.476260Z

measured 67 of 67 standing notices

One-hop event checks from named stored sources.

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

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T05:39:26.579690Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-06T05:39:27.740838Z

Reference resolution

66 of 66 outbound references displayed

verified exact0
verified fuzzy0
unresolved66
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e60b2618-8fa3-4135-b29d-a60c51c22f07 · outbound

This paper cites Natural gradient works efficiently in learning.

Decoupling Variance and Scale-Invariant Updates in Adaptive Gradient Descent for Unified Vector and Matrix Optimization Natural gradient works efficiently in learning

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-03T03:56:38.842958Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 15e71a83-849d-4cd3-b693-d99f0c563cd3 · outbound

This paper cites Asgo: Adaptive structured gradient optimization.

Decoupling Variance and Scale-Invariant Updates in Adaptive Gradient Descent for Unified Vector and Matrix Optimization Asgo: Adaptive structured gradient optimization

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-03T03:56:38.877833Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 59eaa3ba-67f1-4605-b287-ac6e3ae6e0f7 · outbound

This paper cites Kimi K2: Open Agentic Intelligence.

Decoupling Variance and Scale-Invariant Updates in Adaptive Gradient Descent for Unified Vector and Matrix Optimization Kimi K2: Open Agentic Intelligence

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-03T03:56:38.912379Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 930d441e-fe2f-4a3c-987e-6ee6a1291d18 · outbound

This paper cites Modular Duality in Deep Learning.

Decoupling Variance and Scale-Invariant Updates in Adaptive Gradient Descent for Unified Vector and Matrix Optimization Modular Duality in Deep Learning

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-03T03:56:38.947343Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7d639092-518d-4a97-a92d-08d962fa7459 · outbound

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

Decoupling Variance and Scale-Invariant Updates in Adaptive Gradient Descent for Unified Vector and Matrix Optimization Old Optimizer, New Norm: An Anthology

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-03T03:56:38.990015Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 57362dd2-3b8e-4418-8c9d-e0cf9d0039e1 · outbound

This paper cites signsgd: Compressed optimisation for non-convex problems.

Decoupling Variance and Scale-Invariant Updates in Adaptive Gradient Descent for Unified Vector and Matrix Optimization signsgd: Compressed optimisation for non-convex problems

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-03T03:56:39.032959Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 681390e5-fc7a-4857-84e6-7aeffc439a7f · outbound

This paper cites and Vandenberghe, L.

Decoupling Variance and Scale-Invariant Updates in Adaptive Gradient Descent for Unified Vector and Matrix Optimization and Vandenberghe, L

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-03T03:56:39.072423Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5e85a5ff-ce20-411d-a791-4aa646114e62 · outbound

This paper cites H., Hansen, S.

Decoupling Variance and Scale-Invariant Updates in Adaptive Gradient Descent for Unified Vector and Matrix Optimization H., Hansen, S

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-03T03:56:39.200371Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 969b7c93-fab7-48d1-93a4-632c49dc8629 · outbound

This paper cites an unresolved cited work.

Decoupling Variance and Scale-Invariant Updates in Adaptive Gradient Descent for Unified Vector and Matrix Optimization Unresolved cited work

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-03T03:56:39.282731Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f17a49b4-f7d1-4c20-ae21-bd913ece4fd3 · outbound

This paper cites Stochastic spectral descent for restricted boltzmann machines.

Decoupling Variance and Scale-Invariant Updates in Adaptive Gradient Descent for Unified Vector and Matrix Optimization Stochastic spectral descent for restricted boltzmann machines

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-03T03:56:39.346468Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 18b24959-0c13-43e4-94ab-740d23d73914 · outbound

This paper cites E., Collins, E., Hsieh, Y.-P., Carin, L., and Cevher, V.

Decoupling Variance and Scale-Invariant Updates in Adaptive Gradient Descent for Unified Vector and Matrix Optimization E., Collins, E., Hsieh, Y.-P., Carin, L., and Cevher, V

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-03T03:56:39.397203Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0adb151e-1490-4fcd-a928-f796bd357387 · outbound

This paper cites Lion Secretly Solves Constrained Optimization: As Lyapunov Predicts.

Decoupling Variance and Scale-Invariant Updates in Adaptive Gradient Descent for Unified Vector and Matrix Optimization Lion Secretly Solves Constrained Optimization: As Lyapunov Predicts

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-03T03:56:39.454368Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6bb6d2d2-7b92-40f5-a78b-901e115ea5a8 · outbound

This paper cites Muon optimizes under spectral norm constraints.

Decoupling Variance and Scale-Invariant Updates in Adaptive Gradient Descent for Unified Vector and Matrix Optimization Muon optimizes under spectral norm constraints

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-03T03:56:39.505927Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 10ca93b6-07cd-4846-bd88-32d9f3d52b00 · outbound

This paper cites Symbolic discovery of optimization algorithms.

Decoupling Variance and Scale-Invariant Updates in Adaptive Gradient Descent for Unified Vector and Matrix Optimization Symbolic discovery of optimization algorithms

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-03T03:56:39.535901Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 166a226f-a6b2-460e-beb1-6f436b13eec7 · outbound

This paper cites and Drusvyatskiy, D.

Decoupling Variance and Scale-Invariant Updates in Adaptive Gradient Descent for Unified Vector and Matrix Optimization and Drusvyatskiy, D

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-03T03:56:39.589058Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0e064e9b-e3ba-4e6d-894e-6d86976f294d · outbound

This paper cites Imagenet: A large-scale hierarchical image database.

Decoupling Variance and Scale-Invariant Updates in Adaptive Gradient Descent for Unified Vector and Matrix Optimization Imagenet: A large-scale hierarchical image database

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-03T03:56:39.644053Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f278a048-a0d5-4b0b-9a88-82083164e003 · outbound

This paper cites An Image is Worth 16x16 Words: Transformers for Image Recognition at Scale.

Decoupling Variance and Scale-Invariant Updates in Adaptive Gradient Descent for Unified Vector and Matrix Optimization An Image is Worth 16x16 Words: Transformers for Image Recognition at Scale

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-03T03:56:39.677859Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fa1349dc-3d82-4636-bec6-a9ffa4df3ba6 · outbound

This paper cites The Llama 3 Herd of Models.

Decoupling Variance and Scale-Invariant Updates in Adaptive Gradient Descent for Unified Vector and Matrix Optimization The Llama 3 Herd of Models

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-03T03:56:39.750753Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cd9d6f52-231b-412a-a273-9bf19ec2c486 · outbound

This paper cites Adaptive subgradient methods for online learning and stochastic optimization.

Decoupling Variance and Scale-Invariant Updates in Adaptive Gradient Descent for Unified Vector and Matrix Optimization Adaptive subgradient methods for online learning and stochastic optimization

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-03T03:56:39.884024Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e8c4e895-4e08-4867-ae5b-162ae27a5954 · outbound

This paper cites Promise: Preconditioned stochastic optimization methods by incorporating scalable curvature estimates.

Decoupling Variance and Scale-Invariant Updates in Adaptive Gradient Descent for Unified Vector and Matrix Optimization Promise: Preconditioned stochastic optimization methods by incorporating scalable curvature estimates

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-03T03:56:39.991463Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 05ac5e45-c242-4399-bf24-0e781b763c24 · outbound

This paper cites Sketchysgd: reliable stochastic optimization via randomized curvature estimates.

Decoupling Variance and Scale-Invariant Updates in Adaptive Gradient Descent for Unified Vector and Matrix Optimization Sketchysgd: reliable stochastic optimization via randomized curvature estimates

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-03T03:56:40.099327Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation aa0a7051-5f82-4b16-9e3e-5e23d04e1e1d · outbound

This paper cites What really matters in matrix-whitening optimizers? arXiv preprint arXiv:2510.25000, 2025 a.

Decoupling Variance and Scale-Invariant Updates in Adaptive Gradient Descent for Unified Vector and Matrix Optimization What really matters in matrix-whitening optimizers? arXiv preprint arXiv:2510.25000, 2025 a

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-03T03:56:40.159394Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a28edd17-8a06-41ab-97ea-8746b9a599a7 · outbound

This paper cites A stable whitening optimizer for efficient neural network training.

Decoupling Variance and Scale-Invariant Updates in Adaptive Gradient Descent for Unified Vector and Matrix Optimization A stable whitening optimizer for efficient neural network training

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-03T03:56:40.243143Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 364a15b5-2194-4017-88a4-eb2854358f08 · outbound

This paper cites S., and Valiant, G.

Decoupling Variance and Scale-Invariant Updates in Adaptive Gradient Descent for Unified Vector and Matrix Optimization S., and Valiant, G

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-03T03:56:40.353083Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f5408dee-bcb1-44ac-83bb-704fad1c8bf3 · outbound

This paper cites and Lan, G.

Decoupling Variance and Scale-Invariant Updates in Adaptive Gradient Descent for Unified Vector and Matrix Optimization and Lan, G

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-03T03:56:40.412869Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8cdafa92-0890-4914-8272-758b8dd729d2 · outbound

This paper cites An investigation into neural net optimization via hessian eigenvalue density.

Decoupling Variance and Scale-Invariant Updates in Adaptive Gradient Descent for Unified Vector and Matrix Optimization An investigation into neural net optimization via hessian eigenvalue density

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-03T03:56:40.505508Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 11db8331-7b9e-46ee-8d62-49ab48c957f6 · outbound

This paper cites an unresolved cited work.

Decoupling Variance and Scale-Invariant Updates in Adaptive Gradient Descent for Unified Vector and Matrix Optimization Unresolved cited work

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-03T03:56:40.710863Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5ddaf37b-f71c-45c0-91ae-8e34da4dc56e · outbound

This paper cites Solving ridge regression using sketched preconditioned svrg.

Decoupling Variance and Scale-Invariant Updates in Adaptive Gradient Descent for Unified Vector and Matrix Optimization Solving ridge regression using sketched preconditioned svrg

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-03T03:56:41.009278Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 311a7f49-8c95-4417-ae56-d3046c983773 · outbound

This paper cites Shampoo: Preconditioned stochastic tensor optimization.

Decoupling Variance and Scale-Invariant Updates in Adaptive Gradient Descent for Unified Vector and Matrix Optimization Shampoo: Preconditioned stochastic tensor optimization

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-03T03:56:41.141383Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation aba82005-80cf-4f4d-bd8e-2d78cc925045 · outbound

This paper cites an unresolved cited work.

Decoupling Variance and Scale-Invariant Updates in Adaptive Gradient Descent for Unified Vector and Matrix Optimization Unresolved cited work

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-03T03:56:41.184883Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c5abfba9-0cfa-4a16-afa1-f189ee8ae025 · outbound

This paper cites modded-nanogpt: Speedrunning the nanogpt baseline, 2024 a.

Decoupling Variance and Scale-Invariant Updates in Adaptive Gradient Descent for Unified Vector and Matrix Optimization modded-nanogpt: Speedrunning the nanogpt baseline, 2024 a

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-03T03:56:41.233234Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d57f06d7-4e6c-4c75-bd01-887dbf7ea3c8 · outbound

This paper cites Muon: An optimizer for hidden layers in neural networks, 2024 b.

Decoupling Variance and Scale-Invariant Updates in Adaptive Gradient Descent for Unified Vector and Matrix Optimization Muon: An optimizer for hidden layers in neural networks, 2024 b

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-03T03:56:41.276979Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8d0cadea-d781-44e8-a82a-15787f7d2c4b · outbound

This paper cites Adam: A Method for Stochastic Optimization.

Decoupling Variance and Scale-Invariant Updates in Adaptive Gradient Descent for Unified Vector and Matrix Optimization Adam: A Method for Stochastic Optimization

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-03T03:56:41.328983Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5bf56e8e-20b4-4d55-ab4b-f60f5d603649 · outbound

This paper cites C., and Platt, J.

Decoupling Variance and Scale-Invariant Updates in Adaptive Gradient Descent for Unified Vector and Matrix Optimization C., and Platt, J

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-03T03:56:41.386311Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7686a47c-9b46-47d7-870e-b7f13ca7e200 · outbound

This paper cites Scalable optimization in the modular norm.

Decoupling Variance and Scale-Invariant Updates in Adaptive Gradient Descent for Unified Vector and Matrix Optimization Scalable optimization in the modular norm

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-03T03:56:41.409297Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation eadb2211-2a8d-4a66-a028-07b8e8ae5afd · outbound

This paper cites Normuon: Making muon more efficient and scalable.

Decoupling Variance and Scale-Invariant Updates in Adaptive Gradient Descent for Unified Vector and Matrix Optimization Normuon: Making muon more efficient and scalable

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-03T03:56:41.481912Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2bce02ad-1986-4675-8185-d4fc30be0a1e · outbound

This paper cites DeepSeek-V3 Technical Report.

Decoupling Variance and Scale-Invariant Updates in Adaptive Gradient Descent for Unified Vector and Matrix Optimization DeepSeek-V3 Technical Report

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-03T03:56:41.538906Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 82d1aae8-36a2-4341-9f32-4e429bb9a959 · outbound

This paper cites Muon is Scalable for LLM Training.

Decoupling Variance and Scale-Invariant Updates in Adaptive Gradient Descent for Unified Vector and Matrix Optimization Muon is Scalable for LLM Training

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-03T03:56:41.622106Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8e916ad6-5bfe-43dc-90be-199fc39ca9ce · outbound

This paper cites Cosmos: A hybrid adaptive optimizer for memory-efficient training of llms.

Decoupling Variance and Scale-Invariant Updates in Adaptive Gradient Descent for Unified Vector and Matrix Optimization Cosmos: A hybrid adaptive optimizer for memory-efficient training of llms

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-03T03:56:41.679058Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2c1cf132-1098-45d3-8581-7722cfdbdeb9 · outbound

This paper cites S., Li, B., Drineas, P., Zhang, R., and Bullins, B.

Decoupling Variance and Scale-Invariant Updates in Adaptive Gradient Descent for Unified Vector and Matrix Optimization S., Li, B., Drineas, P., Zhang, R., and Bullins, B

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-03T03:56:41.731192Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cf061701-72c4-484e-8461-ce28d0b927e9 · outbound

This paper cites Preconditioning benefits of spectral orthogonalization in muon.

Decoupling Variance and Scale-Invariant Updates in Adaptive Gradient Descent for Unified Vector and Matrix Optimization Preconditioning benefits of spectral orthogonalization in muon

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-03T03:56:41.752834Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8db7907a-67d8-4852-ae1c-221a04f4a9d0 · outbound

This paper cites New insights and perspectives on the natural gradient method.

Decoupling Variance and Scale-Invariant Updates in Adaptive Gradient Descent for Unified Vector and Matrix Optimization New insights and perspectives on the natural gradient method

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-03T03:56:41.813589Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation da175134-bdde-4189-ad8d-79ab3be99448 · outbound

This paper cites and Grosse, R.

Decoupling Variance and Scale-Invariant Updates in Adaptive Gradient Descent for Unified Vector and Matrix Optimization and Grosse, R

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-03T03:56:41.875522Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a47d27ec-5912-4c15-ae7a-56b36320e736 · outbound

This paper cites A New Perspective on Shampoo's Preconditioner.

Decoupling Variance and Scale-Invariant Updates in Adaptive Gradient Descent for Unified Vector and Matrix Optimization A New Perspective on Shampoo's Preconditioner

Reference 44

Resolution: unresolved; no resolver link, observed 2026-08-03T03:56:41.924586Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 423c366a-186e-49ab-9924-a56dd22f65b8 · outbound

This paper cites an unresolved cited work.

Decoupling Variance and Scale-Invariant Updates in Adaptive Gradient Descent for Unified Vector and Matrix Optimization Unresolved cited work

Reference 45

Resolution: unresolved; no resolver link, observed 2026-08-03T03:56:42.001468Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8b71759a-4f27-4774-af72-27635d5641b4 · outbound

This paper cites and Mahoney, M.

Decoupling Variance and Scale-Invariant Updates in Adaptive Gradient Descent for Unified Vector and Matrix Optimization and Mahoney, M

Reference 46

Resolution: unresolved; no resolver link, observed 2026-08-03T03:56:42.058798Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 223201c8-ae83-455d-83eb-913e55d31ac1 · outbound

This paper cites and Gower, R.

Decoupling Variance and Scale-Invariant Updates in Adaptive Gradient Descent for Unified Vector and Matrix Optimization and Gower, R

Reference 47

Resolution: unresolved; no resolver link, observed 2026-08-03T03:56:42.116454Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 39fbf2aa-2ec3-46a3-ba09-78a527a465e7 · outbound

This paper cites A., Von Werra, L., Wolf, T., et al.

Decoupling Variance and Scale-Invariant Updates in Adaptive Gradient Descent for Unified Vector and Matrix Optimization A., Von Werra, L., Wolf, T., et al

Reference 48

Resolution: unresolved; no resolver link, observed 2026-08-03T03:56:42.170986Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2e68b0f9-1983-49e3-913e-325e95a379e6 · outbound

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

Decoupling Variance and Scale-Invariant Updates in Adaptive Gradient Descent for Unified Vector and Matrix Optimization Training Deep Learning Models with Norm-Constrained LMOs

Reference 49

Resolution: unresolved; no resolver link, observed 2026-08-03T03:56:42.216925Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1a14bb04-04b0-4a7c-94ab-aa1e6a0a8b0c · outbound

This paper cites an unresolved cited work.

Decoupling Variance and Scale-Invariant Updates in Adaptive Gradient Descent for Unified Vector and Matrix Optimization Unresolved cited work

Reference 50

Resolution: unresolved; no resolver link, observed 2026-08-03T03:56:42.307997Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fceaf0d0-7edf-4f26-98dd-763d595515a8 · outbound

This paper cites and Mahoney, M.

Decoupling Variance and Scale-Invariant Updates in Adaptive Gradient Descent for Unified Vector and Matrix Optimization and Mahoney, M

Reference 51

Resolution: unresolved; no resolver link, observed 2026-08-03T03:56:42.392705Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 902760e6-8b93-40de-a898-373efba67ee4 · outbound

This paper cites and Stern, M.

Decoupling Variance and Scale-Invariant Updates in Adaptive Gradient Descent for Unified Vector and Matrix Optimization and Stern, M

Reference 52

Resolution: unresolved; no resolver link, observed 2026-08-03T03:56:42.478317Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d63023fc-c201-43c7-aa76-a71b1f71a521 · outbound

This paper cites On the Convergence Analysis of Muon.

Decoupling Variance and Scale-Invariant Updates in Adaptive Gradient Descent for Unified Vector and Matrix Optimization On the Convergence Analysis of Muon

Reference 53

Resolution: unresolved; no resolver link, observed 2026-08-03T03:56:42.536383Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3b1412d5-7d11-463b-ae6a-f324971a5785 · outbound

This paper cites Adamuon: Adaptive muon optimizer.

Decoupling Variance and Scale-Invariant Updates in Adaptive Gradient Descent for Unified Vector and Matrix Optimization Adamuon: Adaptive muon optimizer

Reference 54

Resolution: unresolved; no resolver link, observed 2026-08-03T03:56:42.588374Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2a88408f-3be9-4c85-902f-5c15f3a21213 · outbound

This paper cites Lecture 6.5-rmsprop: Divide the gradient by a running average of its recent magnitude.

Decoupling Variance and Scale-Invariant Updates in Adaptive Gradient Descent for Unified Vector and Matrix Optimization Lecture 6.5-rmsprop: Divide the gradient by a running average of its recent magnitude

Reference 55

Resolution: unresolved; no resolver link, observed 2026-08-03T03:56:42.728053Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5a1f69ee-a2bb-4d29-9ca7-b6994ce8799c · outbound

This paper cites Accelerating ill-conditioned low-rank matrix estimation via scaled gradient descent.

Decoupling Variance and Scale-Invariant Updates in Adaptive Gradient Descent for Unified Vector and Matrix Optimization Accelerating ill-conditioned low-rank matrix estimation via scaled gradient descent

Reference 56

Resolution: unresolved; no resolver link, observed 2026-08-03T03:56:42.810748Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b1de61b7-24ed-4ce5-9763-32a02285426c · outbound

This paper cites Preconditioned Norms: A Unified Framework for Steepest Descent, Quasi-Newton and Adaptive Methods.

Decoupling Variance and Scale-Invariant Updates in Adaptive Gradient Descent for Unified Vector and Matrix Optimization Preconditioned Norms: A Unified Framework for Steepest Descent, Quasi-Newton and Adaptive Methods

Reference 57

Resolution: unresolved; no resolver link, observed 2026-08-03T03:56:42.847187Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9a382460-d17a-4ca5-aae9-7899d5aba3d2 · outbound

This paper cites SOAP: Improving and Stabilizing Shampoo using Adam.

Decoupling Variance and Scale-Invariant Updates in Adaptive Gradient Descent for Unified Vector and Matrix Optimization SOAP: Improving and Stabilizing Shampoo using Adam

Reference 58

Resolution: unresolved; no resolver link, observed 2026-08-03T03:56:42.901175Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation af7cce2a-69b2-4deb-b363-5defa76ac7dd · outbound

This paper cites Some people aren't worth listening to: periodically retraining classifiers with feedback from a team of end users.

Decoupling Variance and Scale-Invariant Updates in Adaptive Gradient Descent for Unified Vector and Matrix Optimization Some people aren't worth listening to: periodically retraining classifiers with feedback from a team of end users

Reference 59

Resolution: unresolved; no resolver link, observed 2026-08-03T03:56:42.960283Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1cda9634-30c0-49fb-bbc4-4c47b6d58783 · outbound

This paper cites Fantastic Pretraining Optimizers and Where to Find Them.

Decoupling Variance and Scale-Invariant Updates in Adaptive Gradient Descent for Unified Vector and Matrix Optimization Fantastic Pretraining Optimizers and Where to Find Them

Reference 60

Resolution: unresolved; no resolver link, observed 2026-08-03T03:56:43.064248Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation de58b063-0d6f-4f8a-a3b4-5580a4322e40 · outbound

This paper cites Dissecting Hessian: Understanding Common Structure of Hessian in Neural Networks.

Decoupling Variance and Scale-Invariant Updates in Adaptive Gradient Descent for Unified Vector and Matrix Optimization Dissecting Hessian: Understanding Common Structure of Hessian in Neural Networks

Reference 61

Resolution: unresolved; no resolver link, observed 2026-08-03T03:56:43.178574Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 36287a84-982b-40f5-9c81-8292da84840e · outbound

This paper cites an unresolved cited work.

Decoupling Variance and Scale-Invariant Updates in Adaptive Gradient Descent for Unified Vector and Matrix Optimization Unresolved cited work

Reference 62

Resolution: unresolved; no resolver link, observed 2026-08-03T03:56:43.240388Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1365f664-8535-44f5-aaf3-93e9bef3d711 · outbound

This paper cites an unresolved cited work.

Decoupling Variance and Scale-Invariant Updates in Adaptive Gradient Descent for Unified Vector and Matrix Optimization Unresolved cited work

Reference 63

Resolution: unresolved; no resolver link, observed 2026-08-03T03:56:43.271141Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e544531f-c17e-4347-9f5e-ca0051463067 · outbound

This paper cites AdaGrad Meets Muon: Adaptive Stepsizes for Orthogonal Updates.

Decoupling Variance and Scale-Invariant Updates in Adaptive Gradient Descent for Unified Vector and Matrix Optimization AdaGrad Meets Muon: Adaptive Stepsizes for Orthogonal Updates

Reference 64

Resolution: unresolved; no resolver link, observed 2026-08-03T03:56:43.342273Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3bd2a7ee-9047-4eec-8131-acba52bef08e · outbound

This paper cites Why transformers need adam: A hessian perspective.

Decoupling Variance and Scale-Invariant Updates in Adaptive Gradient Descent for Unified Vector and Matrix Optimization Why transformers need adam: A hessian perspective

Reference 65

Resolution: unresolved; no resolver link, observed 2026-08-03T03:56:43.412857Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation eef81a0f-b6bf-4672-9e37-1cfd7134bf26 · outbound

This paper cites Adam-mini: Use Fewer Learning Rates To Gain More.

Decoupling Variance and Scale-Invariant Updates in Adaptive Gradient Descent for Unified Vector and Matrix Optimization Adam-mini: Use Fewer Learning Rates To Gain More

Reference 66

Resolution: unresolved; no resolver link, observed 2026-08-03T03:56:43.476260Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 7b586bf1-f419-4aee-aad5-e696582c5492 · inbound

MALT: Lightweight Curvature-Aware Muon via Diagonal Preconditioning cites this paper.

MALT: Lightweight Curvature-Aware Muon via Diagonal Preconditioning Decoupling Variance and Scale-Invariant Updates in Adaptive Gradient Descent for Unified Vector and Matrix Optimization

Reference 63

Resolution: verified exact; local_arxiv, observed 2026-08-06T05:39:27.745528Z

Source-reported events for the cited work

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