Paper Citation Record · LEDGER

SGD with Adaptive Preconditioning: Unified Analysis and Momentum Acceleration

As of 19 August 2026, this Paper Citation Record lists 51 of 51 outbound references and 7 inbound Pith citation observations for arXiv:2506.23803.

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

pith.paper-citation-record.v1
2506.23803 v1

Coverage vector

measured 51 of 51 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T21:45:11.134525Z

measured 58 of 58 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 7 of 7 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T17:59:06.707164Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-03T19:28:52.526118Z

Reference resolution

51 of 51 outbound references displayed

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External citation measurements

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Outbound references

Observation bbde8893-e07c-46a3-883a-a44f63f220df · outbound

This paper cites GPT-4 Technical Report.

SGD with Adaptive Preconditioning: Unified Analysis and Momentum Acceleration GPT-4 Technical Report

Reference 1

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Observation 2747ed3a-08fc-4512-ae4d-2e8a7aad62cf · outbound

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SGD with Adaptive Preconditioning: Unified Analysis and Momentum Acceleration Unresolved cited work

Reference 2

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Observation b54dc744-853c-4981-9fe8-98cd9f7c104c · outbound

This paper cites Gemini: A Family of Highly Capable Multimodal Models.

SGD with Adaptive Preconditioning: Unified Analysis and Momentum Acceleration Gemini: A Family of Highly Capable Multimodal Models

Reference 3

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Observation f90fb7ca-4340-4bdd-b2b9-def58a6fcc40 · outbound

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

SGD with Adaptive Preconditioning: Unified Analysis and Momentum Acceleration Old Optimizer, New Norm: An Anthology

Reference 4

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SGD with Adaptive Preconditioning: Unified Analysis and Momentum Acceleration Unresolved cited work

Reference 5

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Observation 39078556-a1de-4752-ae88-d80b570e38ff · outbound

This paper cites C., Hinder, O., and Sidford, A.

SGD with Adaptive Preconditioning: Unified Analysis and Momentum Acceleration C., Hinder, O., and Sidford, A

Reference 6

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Observation cf1f5fbb-eb8f-45d2-82ff-d998bf65a6b0 · outbound

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SGD with Adaptive Preconditioning: Unified Analysis and Momentum Acceleration Unresolved cited work

Reference 7

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Observation 2ee85536-97fe-4f2d-93b6-13f8d96f2b7c · outbound

This paper cites and Orabona, F.

SGD with Adaptive Preconditioning: Unified Analysis and Momentum Acceleration and Orabona, F

Reference 8

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Observation 20f09051-f0a0-48ac-92b2-6a8b475c8e89 · outbound

This paper cites and Mishchenko, K.

SGD with Adaptive Preconditioning: Unified Analysis and Momentum Acceleration and Mishchenko, K

Reference 9

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

SGD with Adaptive Preconditioning: Unified Analysis and Momentum Acceleration A Simple Convergence Proof of Adam and Adagrad

Reference 10

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SGD with Adaptive Preconditioning: Unified Analysis and Momentum Acceleration Unresolved cited work

Reference 11

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SGD with Adaptive Preconditioning: Unified Analysis and Momentum Acceleration Unresolved cited work

Reference 12

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Observation eec4d80a-66ba-48bc-bab4-5f409b23f940 · outbound

This paper cites The Llama 3 Herd of Models.

SGD with Adaptive Preconditioning: Unified Analysis and Momentum Acceleration The Llama 3 Herd of Models

Reference 13

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Observation ec972189-ac1b-4d13-bdd4-9845d0056038 · outbound

This paper cites A Unified Approach to Adaptive Regularization in Online and Stochastic Optimization.

SGD with Adaptive Preconditioning: Unified Analysis and Momentum Acceleration A Unified Approach to Adaptive Regularization in Online and Stochastic Optimization

Reference 14

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SGD with Adaptive Preconditioning: Unified Analysis and Momentum Acceleration Unresolved cited work

Reference 15

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SGD with Adaptive Preconditioning: Unified Analysis and Momentum Acceleration Unresolved cited work

Reference 16

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Observation ae89f7d9-c6e8-4608-8da7-5fa5ce088447 · outbound

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SGD with Adaptive Preconditioning: Unified Analysis and Momentum Acceleration Unresolved cited work

Reference 17

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Observation d7452adf-7dba-458a-a72c-1b33a7ef44c3 · outbound

This paper cites Provable Complexity Improvement of AdaGrad over SGD: Upper and Lower Bounds in Stochastic Non-Convex Optimization.

SGD with Adaptive Preconditioning: Unified Analysis and Momentum Acceleration Provable Complexity Improvement of AdaGrad over SGD: Upper and Lower Bounds in Stochastic Non-Convex Optimization

Reference 18

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SGD with Adaptive Preconditioning: Unified Analysis and Momentum Acceleration Unresolved cited work

Reference 19

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Observation a4af74bf-c0e5-4d91-b24d-b647f2be821c · outbound

This paper cites and Vempala, S.

SGD with Adaptive Preconditioning: Unified Analysis and Momentum Acceleration and Vempala, S

Reference 20

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Observation fb106931-08e3-4e83-b97f-0eff4c1d749d · outbound

This paper cites Y., Bach, F., and Cevher, V.

SGD with Adaptive Preconditioning: Unified Analysis and Momentum Acceleration Y., Bach, F., and Cevher, V

Reference 21

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Reference 22

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Observation 74cfff2d-a93b-4727-a3e0-82acde7b3ebd · outbound

This paper cites Adam: A Method for Stochastic Optimization.

SGD with Adaptive Preconditioning: Unified Analysis and Momentum Acceleration Adam: A Method for Stochastic Optimization

Reference 23

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SGD with Adaptive Preconditioning: Unified Analysis and Momentum Acceleration Unresolved cited work

Reference 24

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Observation 7e55803d-1621-4fa3-9926-13f92e574a0b · outbound

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

SGD with Adaptive Preconditioning: Unified Analysis and Momentum Acceleration Understanding Gradient Orthogonalization for Deep Learning via Non-Euclidean Trust-Region Optimization

Reference 25

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This paper cites On Linear Convergence in Smooth Convex-Concave Bilinearly-Coupled Saddle-Point Optimization: Lower Bounds and Optimal Algorithms.

SGD with Adaptive Preconditioning: Unified Analysis and Momentum Acceleration On Linear Convergence in Smooth Convex-Concave Bilinearly-Coupled Saddle-Point Optimization: Lower Bounds and Optimal Algorithms

Reference 26

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SGD with Adaptive Preconditioning: Unified Analysis and Momentum Acceleration Y., Yurtsever, A., and Cevher, V

Reference 29

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SGD with Adaptive Preconditioning: Unified Analysis and Momentum Acceleration and Orabona, F

Reference 30

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SGD with Adaptive Preconditioning: Unified Analysis and Momentum Acceleration DeepSeek-V3 Technical Report

Reference 31

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This paper cites AdaGrad under Anisotropic Smoothness.

SGD with Adaptive Preconditioning: Unified Analysis and Momentum Acceleration AdaGrad under Anisotropic Smoothness

Reference 32

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SGD with Adaptive Preconditioning: Unified Analysis and Momentum Acceleration Decoupled Weight Decay Regularization

Reference 33

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SGD with Adaptive Preconditioning: Unified Analysis and Momentum Acceleration Adaptive Bound Optimization for Online Convex Optimization

Reference 34

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SGD with Adaptive Preconditioning: Unified Analysis and Momentum Acceleration Prodigy: An Expeditiously Adaptive Parameter-Free Learner

Reference 35

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SGD with Adaptive Preconditioning: Unified Analysis and Momentum Acceleration Unresolved cited work

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SGD with Adaptive Preconditioning: Unified Analysis and Momentum Acceleration Normalized Gradients for All

Reference 40

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This paper cites Parameter-free Stochastic Optimization of Variationally Coherent Functions.

SGD with Adaptive Preconditioning: Unified Analysis and Momentum Acceleration Parameter-free Stochastic Optimization of Variationally Coherent Functions

Reference 41

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SGD with Adaptive Preconditioning: Unified Analysis and Momentum Acceleration Training Deep Learning Models with Norm-Constrained LMOs

Reference 42

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SGD with Adaptive Preconditioning: Unified Analysis and Momentum Acceleration On the Convergence of Adam and Beyond

Reference 43

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SGD with Adaptive Preconditioning: Unified Analysis and Momentum Acceleration Gluon: Making Muon & Scion Great Again! (Bridging Theory and Practice of LMO-based Optimizers for LLMs)

Reference 44

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SGD with Adaptive Preconditioning: Unified Analysis and Momentum Acceleration Less Regret via Online Conditioning

Reference 46

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SGD with Adaptive Preconditioning: Unified Analysis and Momentum Acceleration Unresolved cited work

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

SGD with Adaptive Preconditioning: Unified Analysis and Momentum Acceleration SOAP: Improving and Stabilizing Shampoo using Adam

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

Reference 50

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This paper cites SGD Converges to Global Minimum in Deep Learning via Star-convex Path.

SGD with Adaptive Preconditioning: Unified Analysis and Momentum Acceleration SGD Converges to Global Minimum in Deep Learning via Star-convex Path

Reference 51

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Pith citing papers

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Nesterov Finds GRAAL: Optimal and Adaptive Gradient Method for Convex Optimization cites this paper.

Nesterov Finds GRAAL: Optimal and Adaptive Gradient Method for Convex Optimization SGD with Adaptive Preconditioning: Unified Analysis and Momentum Acceleration

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

AdaGrad Meets Muon: Adaptive Stepsizes for Orthogonal Updates SGD with Adaptive Preconditioning: Unified Analysis and Momentum Acceleration

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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 SGD with Adaptive Preconditioning: Unified Analysis and Momentum Acceleration

Reference 34

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

Optimal Projection-Free Adaptive SGD for Matrix Optimization SGD with Adaptive Preconditioning: Unified Analysis and Momentum Acceleration

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Observation a0b4851a-f922-47be-9520-7981bf052ba0 · inbound

Stochastic Non-Smooth Convex Optimization with Unbounded Gradients cites this paper.

Stochastic Non-Smooth Convex Optimization with Unbounded Gradients SGD with Adaptive Preconditioning: Unified Analysis and Momentum Acceleration

Reference 17

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Observation 950fcdc0-8f36-49b3-a394-e27f733ff750 · inbound

On subspace-constrained preconditioning for randomized iterative methods cites this paper.

On subspace-constrained preconditioning for randomized iterative methods SGD with Adaptive Preconditioning: Unified Analysis and Momentum Acceleration

Reference 40

Resolution: verified exact; arxiv_id, observed 2026-06-29T06:23:08.769236Z

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Observation a1c52059-f65c-4386-ae26-912d914faaee · inbound

A Polyak-Ruppert Central Limit Theorem for SA-Adam with Momentum and Non-Convergent Adaptive Preconditioning cites this paper.

A Polyak-Ruppert Central Limit Theorem for SA-Adam with Momentum and Non-Convergent Adaptive Preconditioning SGD with Adaptive Preconditioning: Unified Analysis and Momentum Acceleration

Reference 17

Resolution: metadata mismatch; arxiv_id, observed 2026-07-03T19:28:52.527509Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.