Paper Citation Record · LEDGER

Structured Preconditioners in Adaptive Optimization: A Unified Analysis

As of 8 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 13 inbound Pith citation observations for arXiv:2503.10537.

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

pith.paper-citation-record.v1
2503.10537 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 13 of 13 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 13 of 13 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T12:45:20.731697Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-21T21:10:38.742176Z

Reference resolution

0 of 0 outbound references displayed

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External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation c4b49a8e-51ec-48d7-9e77-83dfa8c19a29 · inbound

On the Convergence Analysis of Muon cites this paper.

On the Convergence Analysis of Muon Structured Preconditioners in Adaptive Optimization: A Unified Analysis

Reference 25

Resolution: verified exact; arxiv_id, observed 2026-05-19T13:22:19.096323Z

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 7a9c0aa5-3e47-4db0-9a09-7c5638b65a99 · inbound

On the Convergence Analysis of Muon cites this paper.

On the Convergence Analysis of Muon Structured Preconditioners in Adaptive Optimization: A Unified Analysis

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-07T12:45:20.731697Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 72a36abf-55eb-450a-9cb7-caf4b560e30f · inbound

SGD with Adaptive Preconditioning: Unified Analysis and Momentum Acceleration cites this paper.

SGD with Adaptive Preconditioning: Unified Analysis and Momentum Acceleration Structured Preconditioners in Adaptive Optimization: A Unified Analysis

Reference 50

Resolution: unresolved; no resolver link, observed 2026-08-06T21:45:11.037116Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9f74e983-5f39-4106-b7f8-2cc79cf604ba · inbound

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

AdaGrad Meets Muon: Adaptive Stepsizes for Orthogonal Updates Structured Preconditioners in Adaptive Optimization: A Unified Analysis

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-05T11:25:45.067509Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 607824e8-d6a3-492b-b9a5-4c4c933a9d14 · inbound

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

Low-rank Orthogonalization for Large-scale Matrix Optimization with Applications to Foundation Model Training Structured Preconditioners in Adaptive Optimization: A Unified Analysis

Reference 54

Resolution: verified exact; arxiv_id, observed 2026-05-18T15:51:34.031092Z

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 a473019b-e6b3-40e5-b4a6-96e79abdb429 · inbound

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

Preconditioned Norms: A Unified Framework for Steepest Descent, Quasi-Newton and Adaptive Methods Structured Preconditioners in Adaptive Optimization: A Unified Analysis

Reference 23

Resolution: verified exact; arxiv_id, observed 2026-05-21T21:10:38.744468Z

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 8c7483a9-c316-4c32-96a0-aeb159b1b279 · inbound

Non-Euclidean SGD for Structured Optimization: Unified Analysis and Improved Rates cites this paper.

Non-Euclidean SGD for Structured Optimization: Unified Analysis and Improved Rates Structured Preconditioners in Adaptive Optimization: A Unified Analysis

Reference 59

Resolution: unresolved; no resolver link, observed 2026-08-03T22:20:05.648401Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d0aa1f5c-3178-4ad9-972b-f84246941acc · inbound

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

Sharp Capacity Scaling of Spectral Optimizers in Learning Associative Memory Structured Preconditioners in Adaptive Optimization: A Unified Analysis

Reference 61

Resolution: verified exact; arxiv_id, observed 2026-05-14T23:38:16.383377Z

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 faf50421-9439-4c64-b07a-52f2fc551535 · inbound

Optimal Projection-Free Adaptive SGD for Matrix Optimization cites this paper.

Optimal Projection-Free Adaptive SGD for Matrix Optimization Structured Preconditioners in Adaptive Optimization: A Unified Analysis

Reference 2

Resolution: verified exact; arxiv_id, observed 2026-05-13T20:58:15.757688Z

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 ba24d925-b2c3-48c6-963a-35e362150a6d · inbound

Adam-HNAG: A Convergent Reformulation of Adam with Accelerated Rate cites this paper.

Adam-HNAG: A Convergent Reformulation of Adam with Accelerated Rate Structured Preconditioners in Adaptive Optimization: A Unified Analysis

Reference 24

Resolution: verified exact; arxiv_id, observed 2026-05-11T08:16:00.151525Z

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 b3c904ef-a693-4fa4-a5cb-b48ff80f4d8a · inbound

A unified convergence theory for adaptive first-order methods in the nonconvex case, including AdaNorm, full and diagonal AdaGrad, Shampoo and Muo cites this paper.

A unified convergence theory for adaptive first-order methods in the nonconvex case, including AdaNorm, full and diagonal AdaGrad, Shampoo and Muo Structured Preconditioners in Adaptive Optimization: A Unified Analysis

Reference 54

Resolution: verified exact; arxiv_id, observed 2026-05-10T07:26:59.868306Z

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 cbbc00de-da91-4ee5-872b-8fdd89cbb757 · inbound

Pro-KLShampoo: Projected KL-Shampoo with Whitening Recovered by Orthogonalization cites this paper.

Pro-KLShampoo: Projected KL-Shampoo with Whitening Recovered by Orthogonalization Structured Preconditioners in Adaptive Optimization: A Unified Analysis

Reference 18

Resolution: verified exact; arxiv_id, observed 2026-05-11T19:01:12.423037Z

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 804a2766-31e4-49f3-92f5-fb3a064bf02b · inbound

Optimizer-Model Consistency: Full Finetuning with the Same Optimizer as Pretraining Forgets Less cites this paper.

Optimizer-Model Consistency: Full Finetuning with the Same Optimizer as Pretraining Forgets Less Structured Preconditioners in Adaptive Optimization: A Unified Analysis

Reference 34

Resolution: verified exact; arxiv_id, observed 2026-05-11T19:26:08.660083Z

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.