Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-10T23:28:29.910469Z
Paper Citation Record · LEDGER
Random Matrix Theory for Stochastic Gradient Descent
As of 11 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 0 inbound Pith citation observations for arXiv:2412.20496.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
26 of 26 outbound references displayed
- verified exact4
- verified fuzzy11
- unresolved11
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 6089b4a9-5fc6-4761-9b6b-b29d81c70382 · outbound
This paper cites Machine learning and the physical sciences.
Random Matrix Theory for Stochastic Gradient Descent Machine learning and the physical sciences
Reference 1
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T23:28:29.613387Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8328b243-39fb-4031-afab-862be59c7ddb · outbound
This paper cites Stochastic weight matrix dynamics during learning and Dyson Brownian motion.
Random Matrix Theory for Stochastic Gradient Descent Stochastic weight matrix dynamics during learning and Dyson Brownian motion
Reference 2
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T23:28:29.618836Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fd68be48-a4a9-4b57-8d64-6264d884c59a · outbound
This paper cites Wigner,Characteristic vectors of bordered matrices with infinite dimensions, Annals of Mathematics 62(1955) 548.
Random Matrix Theory for Stochastic Gradient Descent Wigner,Characteristic vectors of bordered matrices with infinite dimensions, Annals of Mathematics 62(1955) 548
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T23:28:30.713111Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation af0c86ac-4062-4930-a617-ac54c77cb83f · outbound
This paper cites Wigner,Conference on Neutron Physics by Time-of-Flight, p.
Random Matrix Theory for Stochastic Gradient Descent Wigner,Conference on Neutron Physics by Time-of-Flight, p
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T23:28:30.698820Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 30a6c6e8-4443-4ace-b2dd-a2e34e762309 · outbound
This paper cites Dyson,Statistical theory of the energy levels of complex systems.
Random Matrix Theory for Stochastic Gradient Descent Dyson,Statistical theory of the energy levels of complex systems
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T23:28:30.685806Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation d99e7409-7f9e-4764-9344-24a1dde9a0db · outbound
This paper cites Dyson,Statistical theory of the energy levels of complex systems.
Random Matrix Theory for Stochastic Gradient Descent Dyson,Statistical theory of the energy levels of complex systems
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T23:28:30.672054Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 7e5a285f-9cf8-49ae-ac63-2bcca123822c · outbound
This paper cites Dyson,Statistical Theory of the Energy Levels of Complex Systems.
Random Matrix Theory for Stochastic Gradient Descent Dyson,Statistical Theory of the Energy Levels of Complex Systems
Reference 7
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T23:28:29.642536Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 75d1b192-6563-4b90-a5ac-a310d0845d1a · outbound
This paper cites Dyson,A Brownian-Motion Model for the Eigenvalues of a Random Matrix, J.
Random Matrix Theory for Stochastic Gradient Descent Dyson,A Brownian-Motion Model for the Eigenvalues of a Random Matrix, J
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T23:28:30.653040Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 5be17bfb-a670-40a9-a38c-6e600a531b79 · outbound
This paper cites Mehta,Random Matrices, Academic Press, New York, 3rd ed.
Random Matrix Theory for Stochastic Gradient Descent Mehta,Random Matrices, Academic Press, New York, 3rd ed
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T23:28:30.639847Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation db6e851d-868b-4491-9710-422ebac0848d · outbound
This paper cites Traditional and Heavy-Tailed Self Regularization in Neural Network Models.
Random Matrix Theory for Stochastic Gradient Descent Traditional and Heavy-Tailed Self Regularization in Neural Network Models
Reference 10
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T23:28:29.668149Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 09f95c5e-559e-4280-a923-29b80a7bca90 · outbound
This paper cites Appearance of Random Matrix Theory in Deep Learning.
Random Matrix Theory for Stochastic Gradient Descent Appearance of Random Matrix Theory in Deep Learning
Reference 11
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T23:28:29.746912Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7e14ae5e-2fe6-4c8a-9ee6-8f59ecdc3f0e · outbound
This paper cites Accurate, Large Minibatch SGD: Training ImageNet in 1 Hour.
Random Matrix Theory for Stochastic Gradient Descent Accurate, Large Minibatch SGD: Training ImageNet in 1 Hour
Reference 12
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T23:28:29.822946Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 44128a12-7b6b-40b7-b165-94d13b4e16d4 · outbound
This paper cites A Bayesian Perspective on Generalization and Stochastic Gradient Descent.
Random Matrix Theory for Stochastic Gradient Descent A Bayesian Perspective on Generalization and Stochastic Gradient Descent
Reference 13
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T23:28:29.857819Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e4d4bd3b-ba18-493e-ae28-7ab8f2fd6627 · outbound
This paper cites Don't Decay the Learning Rate, Increase the Batch Size.
Random Matrix Theory for Stochastic Gradient Descent Don't Decay the Learning Rate, Increase the Batch Size
Reference 14
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T23:28:29.861538Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4db84599-6cd3-4fdd-9ec1-60a6fd87ef4a · outbound
This paper cites Stochastic natural gradient descent draws posterior samples in function space.
Random Matrix Theory for Stochastic Gradient Descent Stochastic natural gradient descent draws posterior samples in function space
Reference 15
- Resolution
- verified exact
- local_arxiv, observed 2026-08-10T23:28:30.175791Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 6db49146-4169-4690-81e3-a8e35bdde80d · outbound
This paper cites Dyson Brownian motion and random matrix dynamics of weight matrices during learning.
Random Matrix Theory for Stochastic Gradient Descent Dyson Brownian motion and random matrix dynamics of weight matrices during learning
Reference 16
- Resolution
- verified exact
- local_arxiv, observed 2026-08-10T23:28:30.157260Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 6623dc00-3d59-4ca7-b475-0f1c2d73c23d · outbound
This paper cites Mandt, M.D.
Random Matrix Theory for Stochastic Gradient Descent Mandt, M.D
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T23:28:30.590276Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 1d2af006-3339-4cdb-9268-c9ef3a052146 · outbound
This paper cites Stochastic modified equations and adaptive stochastic gradient algorithms.
Random Matrix Theory for Stochastic Gradient Descent Stochastic modified equations and adaptive stochastic gradient algorithms
Reference 18
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T23:28:29.878141Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 574837fe-b827-4eb4-8fe9-f145bc1434b5 · outbound
This paper cites Fluctuation-dissipation relations for stochastic gradient descent.
Random Matrix Theory for Stochastic Gradient Descent Fluctuation-dissipation relations for stochastic gradient descent
Reference 19
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T23:28:29.881681Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d3d1a7b6-0e19-4af4-9c4c-efc9cb3b72d5 · outbound
This paper cites Smolensky,Chapter 6: Information processing in dynamical systems: Foundations of harmony theory, inParallel Distributed Processing: Volume 1, D.
Random Matrix Theory for Stochastic Gradient Descent Smolensky,Chapter 6: Information processing in dynamical systems: Foundations of harmony theory, inParallel Distributed Processing: Volume 1, D
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T23:28:30.408975Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 79601bbc-f0e9-44a2-abb9-bce5d58a1167 · outbound
This paper cites Hinton,Training Products of Experts by Minimizing Contrastive Divergence,Neural Computation 14(2002) 1771.
Random Matrix Theory for Stochastic Gradient Descent Hinton,Training Products of Experts by Minimizing Contrastive Divergence,Neural Computation 14(2002) 1771
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T23:28:30.322809Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation dd562bc2-10f6-4d75-b2c3-e422525d335b · outbound
This paper cites Restricted Boltzmann Machine, recent advances and mean-field theory.
Random Matrix Theory for Stochastic Gradient Descent Restricted Boltzmann Machine, recent advances and mean-field theory
Reference 22
- Resolution
- verified exact
- local_arxiv, observed 2026-08-10T23:28:30.116524Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation abe8ed9d-685c-4f4e-8298-9b423ba980ca · outbound
This paper cites Scalar field Restricted Boltzmann Machine as an ultraviolet regulator.
Random Matrix Theory for Stochastic Gradient Descent Scalar field Restricted Boltzmann Machine as an ultraviolet regulator
Reference 23
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T23:28:29.898270Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f6fd0ae5-26d3-4ddc-b75f-1297d8efe006 · outbound
This paper cites Bahri, J.
Random Matrix Theory for Stochastic Gradient Descent Bahri, J
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T23:28:30.310214Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 7265edc5-efa4-45d7-8175-336bb58d2ecf · outbound
This paper cites Goldt, M.S.
Random Matrix Theory for Stochastic Gradient Descent Goldt, M.S
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T23:28:30.295808Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation a6144477-72c0-47ab-997e-576fe07619fa · outbound
This paper cites an unresolved cited work.
Random Matrix Theory for Stochastic Gradient Descent Unresolved cited work
Reference 26
- Resolution
- verified exact
- doi, observed 2026-08-10T23:28:30.035604Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Pith citing papers
No inbound Pith citation observations are available.