Pith. sign in

Paper Citation Record · LEDGER

Exact Dynamics of Multi-class Stochastic Gradient Descent

As of 19 August 2026, this Paper Citation Record lists 46 of 46 outbound references and 1 inbound Pith citation observation for arXiv:2510.14074.

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

pith.paper-citation-record.v1
2510.14074 v2

Coverage vector

measured 46 of 46 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-04T09:43:14.326705Z

measured 47 of 47 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-02T17:31:02.850791Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-02T17:37:13.925711Z

Reference resolution

46 of 46 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved46
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a07eb370-ec60-491e-956b-b025dfccb3b9 · outbound

This paper cites Escaping mediocrity: how two-layer networks learn hard single-index models with SGD.CoRR, 2023.

Exact Dynamics of Multi-class Stochastic Gradient Descent Escaping mediocrity: how two-layer networks learn hard single-index models with SGD.CoRR, 2023

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-04T09:43:08.662758Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T09:43:08.662758Z digest=sha256:d880f30571baf06c26657e816b69811fb336b0a7be8c75e8ba897b6161120753

Observation 98e44c79-1ebd-4d77-b12c-2766efc8ece1 · outbound

This paper cites From high-dimensional & mean-field dynamics to dimensionless ODEs: A unifying approach to SGD in two-layers networks.

Exact Dynamics of Multi-class Stochastic Gradient Descent From high-dimensional & mean-field dynamics to dimensionless ODEs: A unifying approach to SGD in two-layers networks

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-04T09:43:08.759247Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T09:43:08.759247Z digest=sha256:1c33b75524bac8090d9d928aac629df88a73d0e6b7598a08f9e262e3f1d86481

Observation 72a2f395-59a8-4157-8cf2-12836040937b · outbound

This paper cites Minimax theory for high-dimensional gaussian mixtures with sparse mean separation.Advances in Neural Information Processing Systems, 26, 2013.

Exact Dynamics of Multi-class Stochastic Gradient Descent Minimax theory for high-dimensional gaussian mixtures with sparse mean separation.Advances in Neural Information Processing Systems, 26, 2013

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-04T09:43:08.934177Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T09:43:08.934177Z digest=sha256:802ead8e205576a3a7347fdddef38141282ac941516c01a04ffba6403b3aed8a

Observation 18c8ed93-829a-479d-85a1-07b97bd8be7c · outbound

This paper cites High-dimensional scaling limits and fluctuations of online least-squares SGD with smooth covariance.

Exact Dynamics of Multi-class Stochastic Gradient Descent High-dimensional scaling limits and fluctuations of online least-squares SGD with smooth covariance

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-04T09:43:09.084449Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T09:43:09.084449Z digest=sha256:31494a9b929dca92098cd3f52d58295b9708bc5c06d2ee713f86ec7916356913

Observation 0beadbd3-0bb5-49e5-9407-9e5cde07a855 · outbound

This paper cites Spectrally-normalized margin bounds for neural networks.Advances in neural information processing systems, 30, 2017.

Exact Dynamics of Multi-class Stochastic Gradient Descent Spectrally-normalized margin bounds for neural networks.Advances in neural information processing systems, 30, 2017

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-04T09:43:09.225286Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T09:43:09.225286Z digest=sha256:c135642976168c6eddc26c7674c09b4dd2b170bc6033cdaa64275f0cbfc3fb76

Observation 2cdc4722-4599-4f3e-808f-a2b1b33ba480 · outbound

This paper cites Local geometry of high-dimensional mixture models: Effective spectral theory and dynamical transitions.arXiv preprint arXiv:2502.15655, 2025.

Exact Dynamics of Multi-class Stochastic Gradient Descent Local geometry of high-dimensional mixture models: Effective spectral theory and dynamical transitions.arXiv preprint arXiv:2502.15655, 2025

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-04T09:43:09.374734Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T09:43:09.374734Z digest=sha256:0e75d2d4ee40d3d52f9246d0469800db42fb9b413ed4222ad0e0519bec9a5c95

Observation d458c512-1236-46e6-ab75-f3dbefd2298e · outbound

This paper cites Online stochastic gradient descent on non- convex losses from high-dimensional inference.The Journal of Machine Learning Research, 22(1):4788– 4838, 2021.

Exact Dynamics of Multi-class Stochastic Gradient Descent Online stochastic gradient descent on non- convex losses from high-dimensional inference.The Journal of Machine Learning Research, 22(1):4788– 4838, 2021

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-04T09:43:09.508327Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T09:43:09.508327Z digest=sha256:7d3ecd487414da03519439c7c15bcd9c203a8c9d3e265b3dad52e85fb5665605

Observation 7c4ee186-ed31-44c2-a7a0-65d68e331b73 · outbound

This paper cites High-dimensional limit theorems for SGD: Effective dynamics and critical scaling.

Exact Dynamics of Multi-class Stochastic Gradient Descent High-dimensional limit theorems for SGD: Effective dynamics and critical scaling

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-04T09:43:09.689739Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T09:43:09.689739Z digest=sha256:4252c1ee50eecd68174421a12430ab5dcc210e84f2cc6216143afae8297e343b

Observation 592d777b-d2b0-4249-a33a-0d0d9ac6677a · outbound

This paper cites On-line learning with a perceptron.Europhysics Letters, 28(7):525, 1994.

Exact Dynamics of Multi-class Stochastic Gradient Descent On-line learning with a perceptron.Europhysics Letters, 28(7):525, 1994

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-04T09:43:09.820533Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T09:43:09.820533Z digest=sha256:52f9285d63ce4123694fe05be68ca16221e2ed6dd6cf9017d80bdd8dc7878b02

Observation ae175791-8f25-4d48-9804-25b7baae7430 · outbound

This paper cites Learning by on-line gradient descent.

Exact Dynamics of Multi-class Stochastic Gradient Descent Learning by on-line gradient descent

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-04T09:43:09.941129Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T09:43:09.941129Z digest=sha256:1e6a1cb08221c3cff60ea7c774fc2226c53a168a2dd9a97fe69b2f891b80f98f

Observation 911930c8-2506-470c-a881-4429791750c4 · outbound

This paper cites Learning curves for sgd on structured features.

Exact Dynamics of Multi-class Stochastic Gradient Descent Learning curves for sgd on structured features

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-04T09:43:10.059555Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T09:43:10.059555Z digest=sha256:5d39ca1975fa1093f64afbe1c701b5d04a1a81635a1d17584d18b35b8fccea3b

Observation 0b35ee0d-7fa7-405b-b2e8-ec3fcdda8a1d · outbound

This paper cites The high-dimensional asymptotics of first order methods with random data.

Exact Dynamics of Multi-class Stochastic Gradient Descent The high-dimensional asymptotics of first order methods with random data

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-04T09:43:10.183758Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T09:43:10.183758Z digest=sha256:29a3d8761cd65f230b7d039d34096130715be185b10bd7ecf436e39a6b8e7ba1

Observation d7af9c46-eba3-4cfe-b74a-62b2e4f45cda · outbound

This paper cites Sharp global convergence guarantees for iterative nonconvex optimization with random data.Ann.

Exact Dynamics of Multi-class Stochastic Gradient Descent Sharp global convergence guarantees for iterative nonconvex optimization with random data.Ann

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-04T09:43:10.322964Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T09:43:10.322964Z digest=sha256:2bb4bf05cfee93ea0c34992fb895187d56346a99fa930d9d414668ad110ba99f

Observation 63db4703-0472-4232-87da-2088ce0fb78c · outbound

This paper cites Achieving optimal clustering in gaussian mixture models with anisotropic covariance structures.

Exact Dynamics of Multi-class Stochastic Gradient Descent Achieving optimal clustering in gaussian mixture models with anisotropic covariance structures

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-04T09:43:10.489704Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T09:43:10.489704Z digest=sha256:87a5012feccae2424921c23513c64b4f3be2b290cc031873b51ea730f190ae5f

Observation 9733b769-f2e7-4184-965f-10bd638991bb · outbound

This paper cites Hitting the high- dimensional notes: An ode for sgd learning dynamics on glms and multi-index models.Information and Inference: A Journal of the IMA, 13(4):iaae028, 2024.

Exact Dynamics of Multi-class Stochastic Gradient Descent Hitting the high- dimensional notes: An ode for sgd learning dynamics on glms and multi-index models.Information and Inference: A Journal of the IMA, 13(4):iaae028, 2024

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-04T09:43:10.616862Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T09:43:10.616862Z digest=sha256:9227f14212a865be690b4b0ba089325999b1edcae59f1943be3a007ce57ec1ce

Observation 0d2a9513-7772-4d20-9b5c-1b463757b0af · outbound

This paper cites High-dimensional limit of one-pass SGD on least squares.

Exact Dynamics of Multi-class Stochastic Gradient Descent High-dimensional limit of one-pass SGD on least squares

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-04T09:43:10.795167Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T09:43:10.795167Z digest=sha256:40068a73ec034f076f42689f0e72afcdfc33a6cefac8beb71c1114f3bb17127e

Observation 57f81619-5ad7-4279-9022-3b437ceea752 · outbound

This paper cites Smoothing the landscape boosts the signal for sgd: Optimal sample complexity for learning single index models.Advances in Neural Information Processing Systems, 36:752–784, 2023.

Exact Dynamics of Multi-class Stochastic Gradient Descent Smoothing the landscape boosts the signal for sgd: Optimal sample complexity for learning single index models.Advances in Neural Information Processing Systems, 36:752–784, 2023

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-04T09:43:10.920521Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T09:43:10.920521Z digest=sha256:8784bb39868c7675111e53b4b401881bad6056b0f42d828fd8cae7042d9874e2

Observation ca8ada67-5ec5-4a6e-abcc-8087aa093570 · outbound

This paper cites Universality laws for gaussian mixtures in generalized linear models.Advances in Neural Information Processing Systems, 36, 2024.

Exact Dynamics of Multi-class Stochastic Gradient Descent Universality laws for gaussian mixtures in generalized linear models.Advances in Neural Information Processing Systems, 36, 2024

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-04T09:43:11.046787Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T09:43:11.046787Z digest=sha256:6aefecc53b18129d101ae05ef592ba0007f3fb1c4882ecf86f3ac8f3bdc1a9f6

Observation 79d8822b-e7d6-4a7b-963f-72e8ef0f720a · outbound

This paper cites The benefits of reusing batches for gradient descent in two-layer networks: Breaking the curse of information and leap exponents.

Exact Dynamics of Multi-class Stochastic Gradient Descent The benefits of reusing batches for gradient descent in two-layer networks: Breaking the curse of information and leap exponents

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-04T09:43:11.142071Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T09:43:11.142071Z digest=sha256:71d35aedb3d64d529e60c6c85f62e52c0656fe313a56b2f90f5187d9d9834e89

Observation 3cac6827-63f8-4bac-9b6e-2246a7db3ada · outbound

This paper cites High-dimensional asymptotics of prediction: Ridge regression and classification.

Exact Dynamics of Multi-class Stochastic Gradient Descent High-dimensional asymptotics of prediction: Ridge regression and classification

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-04T09:43:11.291923Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T09:43:11.291923Z digest=sha256:0e8ff77b3067d8428545d8d48d7bcc33b273b49a6520161de6ba7b4b1222b9e3

Observation 32f67fba-4131-4916-80df-010cb57c48fb · outbound

This paper cites Rigorous dynamical mean-field theory for stochastic gradient descent methods.

Exact Dynamics of Multi-class Stochastic Gradient Descent Rigorous dynamical mean-field theory for stochastic gradient descent methods

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-04T09:43:11.411374Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T09:43:11.411374Z digest=sha256:0ac18fdf708a9098d1a7b819aba54858cf2e8b786cbad75c35cc935975ab0268

Observation 06024813-f1f2-4a30-99df-92033055e1a7 · outbound

This paper cites Dynamics of stochastic gradient descent for two-layer neural networks in the teacher-student setup.Advances in neural information processing systems, 32, 2019.

Exact Dynamics of Multi-class Stochastic Gradient Descent Dynamics of stochastic gradient descent for two-layer neural networks in the teacher-student setup.Advances in neural information processing systems, 32, 2019

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-04T09:43:11.557818Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T09:43:11.557818Z digest=sha256:a9107bfcbee90373cb4879c7e16ebc4b40947dff56494a2875f29f7e942c2fd0

Observation c914d719-70ce-4d17-98a2-000d0d772ebe · outbound

This paper cites The gaussian equivalence of generative models for learning with shallow neural networks.

Exact Dynamics of Multi-class Stochastic Gradient Descent The gaussian equivalence of generative models for learning with shallow neural networks

Reference 23

Resolution
unresolved
no resolver link, observed 2026-08-04T09:43:11.680596Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T09:43:11.680596Z digest=sha256:f4fc8a678c47f887e154f06c2da0b4b684bb2eec417b2a86b81d706ed95500db

Observation ebe60c50-00fb-467d-97f1-a9c1a4b1fb3b · outbound

This paper cites Modeling the influence of data structure on learning in neural networks: The hidden manifold model.Physical Review X, 10(4):041044, 2020.

Exact Dynamics of Multi-class Stochastic Gradient Descent Modeling the influence of data structure on learning in neural networks: The hidden manifold model.Physical Review X, 10(4):041044, 2020

Reference 24

Resolution
unresolved
no resolver link, observed 2026-08-04T09:43:11.824766Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T09:43:11.824766Z digest=sha256:475f530666c197502634f0da37f7e8bfc927340afa4b2c785cb6d5cc5c0bafd8

Observation c8fafa65-3eec-46e0-80d4-2054cc3e4fa4 · outbound

This paper cites Minimax-optimal covariance projected spectral clustering for high- dimensional nonspherical mixtures.arXiv preprint arXiv:2502.02580, 2025.

Exact Dynamics of Multi-class Stochastic Gradient Descent Minimax-optimal covariance projected spectral clustering for high- dimensional nonspherical mixtures.arXiv preprint arXiv:2502.02580, 2025

Reference 25

Resolution
unresolved
no resolver link, observed 2026-08-04T09:43:12.001956Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T09:43:12.001956Z digest=sha256:aa9869824f843ab77f247510fab36bf9b84ac2eedeacd12b9f1abc4e85e74fd0

Observation d5dee034-428e-42b1-af0b-a078d524f833 · outbound

This paper cites Fast margin maximization via dual acceleration.

Exact Dynamics of Multi-class Stochastic Gradient Descent Fast margin maximization via dual acceleration

Reference 26

Resolution
unresolved
no resolver link, observed 2026-08-04T09:43:12.170682Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T09:43:12.170682Z digest=sha256:015d529e6cec15de17e402084d54cba80f6f4e44b230d7ef07cc44c068676391

Observation 23e8dfae-b4d7-48fe-913f-740e913dd6aa · outbound

This paper cites Characterizing the implicit bias via a primal-dual analysis.

Exact Dynamics of Multi-class Stochastic Gradient Descent Characterizing the implicit bias via a primal-dual analysis

Reference 27

Resolution
unresolved
no resolver link, observed 2026-08-04T09:43:12.350658Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T09:43:12.350658Z digest=sha256:1472f8a2b579a2ab4a9e3c0bf36c941c8e40eb5c3e2d45db6286c096337fbcac

Observation 225d8dd0-1a8d-46ae-af0f-116d5d8e0ea7 · outbound

This paper cites Trajectory of mini-batch momentum: batch size saturation and convergence in high dimensions.Advances in Neural Information Processing Systems, 35:36944–36957, 2022.

Exact Dynamics of Multi-class Stochastic Gradient Descent Trajectory of mini-batch momentum: batch size saturation and convergence in high dimensions.Advances in Neural Information Processing Systems, 35:36944–36957, 2022

Reference 28

Resolution
unresolved
no resolver link, observed 2026-08-04T09:43:12.479518Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T09:43:12.479518Z digest=sha256:0438d429af296a34e029064583fe88ee6fd5cc87e4dfa66afc30bf1362bf5ea8

Observation f6398622-2e8f-4bcd-90c5-c1fd43371e18 · outbound

This paper cites Phase transitions and optimal algorithms in high-dimensional gaussian mixture clustering.

Exact Dynamics of Multi-class Stochastic Gradient Descent Phase transitions and optimal algorithms in high-dimensional gaussian mixture clustering

Reference 29

Resolution
unresolved
no resolver link, observed 2026-08-04T09:43:12.607058Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T09:43:12.607058Z digest=sha256:563c85ee18ecda292d7b5a449e50cb5c9063fc46e7bf5f3715f0c0f2b5ee7adb

Observation 7e71a636-828d-4233-b751-052319f99cae · outbound

This paper cites Optimality of spectral clustering in the gaussian mixture model.The Annals of Statistics, 49(5):2506–2530, 2021.

Exact Dynamics of Multi-class Stochastic Gradient Descent Optimality of spectral clustering in the gaussian mixture model.The Annals of Statistics, 49(5):2506–2530, 2021

Reference 30

Resolution
unresolved
no resolver link, observed 2026-08-04T09:43:12.723229Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T09:43:12.723229Z digest=sha256:695c12f7e42808bc5816e770cadf123a47fcb333cf9fc48b672f0e49c4a276a8

Observation edd76747-7d6b-432f-a13e-91284c25cfb3 · outbound

This paper cites Learning curves of generic features maps for realistic datasets with a teacher-student model.

Exact Dynamics of Multi-class Stochastic Gradient Descent Learning curves of generic features maps for realistic datasets with a teacher-student model

Reference 31

Resolution
unresolved
no resolver link, observed 2026-08-04T09:43:12.822188Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T09:43:12.822188Z digest=sha256:1957b5e765f449cc27355d5db7ad5e44b3f4567aea2b1bb7023478274bf1e61b

Observation 0b0923cf-3f23-402d-97f9-d8ee74acd3c6 · outbound

This paper cites Learning gaussian mixtures with generalized linear models: Precise asymptotics in high- dimensions.

Exact Dynamics of Multi-class Stochastic Gradient Descent Learning gaussian mixtures with generalized linear models: Precise asymptotics in high- dimensions

Reference 32

Resolution
unresolved
no resolver link, observed 2026-08-04T09:43:12.932987Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T09:43:12.932987Z digest=sha256:29c4496c716d31666c6e836f2340a6b73bf8f6eaeccb3abf70133ddc11419492

Observation 0ef4e9f0-f1d2-40cf-bfbf-b4f6e456a810 · outbound

This paper cites High dimensional classification via regularized and unregularized empirical risk minimization: Precise error and optimal loss.stat, 1050:25, 2020.

Exact Dynamics of Multi-class Stochastic Gradient Descent High dimensional classification via regularized and unregularized empirical risk minimization: Precise error and optimal loss.stat, 1050:25, 2020

Reference 33

Resolution
unresolved
no resolver link, observed 2026-08-04T09:43:13.108461Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T09:43:13.108461Z digest=sha256:58dfa5a79e28dda7b95b0a6b9c8b4e8b304c92061f503e88c4d6e672500df08a

Observation 94a02753-fd48-422c-b009-0b2c9279c068 · outbound

This paper cites Dynamical mean- field theory for stochastic gradient descent in gaussian mixture classification.

Exact Dynamics of Multi-class Stochastic Gradient Descent Dynamical mean- field theory for stochastic gradient descent in gaussian mixture classification

Reference 34

Resolution
unresolved
no resolver link, observed 2026-08-04T09:43:13.248060Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T09:43:13.248060Z digest=sha256:645c08f4ec605cb499136d541a19d1e92120c30e803b00386dd0ee8833f9a90b

Observation 5fc4034c-9c7f-46c7-a8a4-fc16225d5a0b · outbound

This paper cites Convergence of gradient descent on separable data.

Exact Dynamics of Multi-class Stochastic Gradient Descent Convergence of gradient descent on separable data

Reference 35

Resolution
unresolved
no resolver link, observed 2026-08-04T09:43:13.365838Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T09:43:13.365838Z digest=sha256:8b79c5dd078156d7c9e780b910eebdb6799169f9b72373d14588c0e99501014c

Observation 94acbf43-863a-41c0-8ade-931efa361d56 · outbound

This paper cites The full spectrum of deepnet hessians at scale: Dynamics with SGD training and sample size.

Exact Dynamics of Multi-class Stochastic Gradient Descent The full spectrum of deepnet hessians at scale: Dynamics with SGD training and sample size

Reference 36

Resolution
unresolved
no resolver link, observed 2026-08-04T09:43:13.415028Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T09:43:13.415028Z digest=sha256:e3420c477bee98e1afe601de9d0936267c06b262920e4da3bd5e8b4e1d6a0f72

Observation 5106c7c0-c783-4452-9c28-74467aafc06b · outbound

This paper cites Homogenization of SGD in high-dimensions: Exact dynamics and generalization properties.Mathematical Programming, pages 1–90, 2024.

Exact Dynamics of Multi-class Stochastic Gradient Descent Homogenization of SGD in high-dimensions: Exact dynamics and generalization properties.Mathematical Programming, pages 1–90, 2024

Reference 37

Resolution
unresolved
no resolver link, observed 2026-08-04T09:43:13.525208Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T09:43:13.525208Z digest=sha256:ccd084a61eda3f73bb6b08fb1d16ce46b801293a3a4a3e0241827b377fd010c0

Observation b3c8c4f7-e21b-4323-a5d8-9169e8675505 · outbound

This paper cites Classifying high-dimensional gaussian mixtures: Where kernel methods fail and neural networks succeed.

Exact Dynamics of Multi-class Stochastic Gradient Descent Classifying high-dimensional gaussian mixtures: Where kernel methods fail and neural networks succeed

Reference 38

Resolution
unresolved
no resolver link, observed 2026-08-04T09:43:13.637708Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T09:43:13.637708Z digest=sha256:9b8e1d41393a205a27f47bdb44f6659fe9484f81ceef499cb7f526d35219d88e

Observation 6f17a1bd-6c00-4098-bbba-d05b57cd5784 · outbound

This paper cites Dynamics of on-line gradient descent learning for multilayer neural networks.

Exact Dynamics of Multi-class Stochastic Gradient Descent Dynamics of on-line gradient descent learning for multilayer neural networks

Reference 39

Resolution
unresolved
no resolver link, observed 2026-08-04T09:43:13.730146Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T09:43:13.730146Z digest=sha256:6892d60b46b458cf9744fc14b6ad82c7410c0c2e1d0b328e6f7fe76ea70a8e7b

Observation 6a9f716a-6a39-40f6-b100-620b1cecb8c5 · outbound

This paper cites Exact solution for on-line learning in multilayer neural networks.Physical Review Letters, 74(21):4337, 1995.

Exact Dynamics of Multi-class Stochastic Gradient Descent Exact solution for on-line learning in multilayer neural networks.Physical Review Letters, 74(21):4337, 1995

Reference 40

Resolution
unresolved
no resolver link, observed 2026-08-04T09:43:13.817228Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T09:43:13.817228Z digest=sha256:5a12747b7366f05746d1e2b6f273f868c9b994f89e5e879cce38a9629570e182

Observation 1d808604-d48f-49d5-b3b7-56d3760c80d1 · outbound

This paper cites Random matrix theory proves that deep learning representations of gan-data behave as gaussian mixtures.

Exact Dynamics of Multi-class Stochastic Gradient Descent Random matrix theory proves that deep learning representations of gan-data behave as gaussian mixtures

Reference 41

Resolution
unresolved
no resolver link, observed 2026-08-04T09:43:13.927373Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T09:43:13.927373Z digest=sha256:3eb1faf531f5f0ef16fe0b5d2dc9109c214db3791936b604af31025926bb0c7a

Observation c2c46541-cdc7-4cbd-b22a-4d2ac218a089 · outbound

This paper cites The implicit bias of gradient descent on separable data.Journal of Machine Learning Research, 19(70):1–57, 2018.

Exact Dynamics of Multi-class Stochastic Gradient Descent The implicit bias of gradient descent on separable data.Journal of Machine Learning Research, 19(70):1–57, 2018

Reference 42

Resolution
unresolved
no resolver link, observed 2026-08-04T09:43:13.996903Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T09:43:13.996903Z digest=sha256:8ea662e85e6126148402fe73b0fe1931f7e700660a6aff8bbf7698523af0307d

Observation 2bfc8f03-f74c-426f-b1dd-38207e5af8e4 · outbound

This paper cites Theoretical insights into multiclass classification: A high-dimensional asymptotic view.Advancesin Neural Information Processing Systems, 33:8907–8920, 2020.

Exact Dynamics of Multi-class Stochastic Gradient Descent Theoretical insights into multiclass classification: A high-dimensional asymptotic view.Advancesin Neural Information Processing Systems, 33:8907–8920, 2020

Reference 43

Resolution
unresolved
no resolver link, observed 2026-08-04T09:43:14.080787Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T09:43:14.080787Z digest=sha256:282f31353319358000286ee7a67968c53223a83858a88a05b1925f43750219b4

Observation 308282da-29b1-498b-9f11-00bc0abb34d7 · outbound

This paper cites High-dimensional probability, volume 47 of Cambridge Series in Statistical and Probabilistic Mathematics.

Exact Dynamics of Multi-class Stochastic Gradient Descent High-dimensional probability, volume 47 of Cambridge Series in Statistical and Probabilistic Mathematics

Reference 44

Resolution
unresolved
no resolver link, observed 2026-08-04T09:43:14.145212Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T09:43:14.145212Z digest=sha256:1965b805a522b524dd0dd06120f39d07bda9d7dd7be988a1d0d890aff8729fc0

Observation beecbc06-f7e0-41f5-8703-868135500140 · outbound

This paper cites A solvable high-dimensional model of GAN.Advances in Neural Information Processing Systems, 32, 2019.

Exact Dynamics of Multi-class Stochastic Gradient Descent A solvable high-dimensional model of GAN.Advances in Neural Information Processing Systems, 32, 2019

Reference 45

Resolution
unresolved
no resolver link, observed 2026-08-04T09:43:14.251094Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T09:43:14.251094Z digest=sha256:e4ada280927a3f530c7cf12c51e0e1c5608502124920b065fa9d7e1b31771094

Observation 3f4f2410-360e-4d5b-83c9-ba29d89f0567 · outbound

This paper cites Data-dependence of plateau phenomenon in learning with neural network—statistical mechanical analysis.Advancesin Neural Information Processing Systems, 32, 2019.

Exact Dynamics of Multi-class Stochastic Gradient Descent Data-dependence of plateau phenomenon in learning with neural network—statistical mechanical analysis.Advancesin Neural Information Processing Systems, 32, 2019

Reference 46

Resolution
unresolved
no resolver link, observed 2026-08-04T09:43:14.326705Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T09:43:14.326705Z digest=sha256:fa1508f46dfae78bfa4da42b94553db3ea2d871d3c0f3bcd96c6439757a8f320

Pith citing papers

Observation 21607f55-cac6-4e44-b83d-2fe74efa4909 · inbound

Homogenization of $\ell_2$-Adversarial Training in High-Dimensions: Exact Dynamics under Stochastic Gradient Descent cites this paper.

Homogenization of $\ell_2$-Adversarial Training in High-Dimensions: Exact Dynamics under Stochastic Gradient Descent Exact Dynamics of Multi-class Stochastic Gradient Descent

Reference 18

Resolution
verified exact
arxiv_id, observed 2026-07-14T03:22:45.605646Z

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.

source=pdf_text observed=2026-07-02T17:31:02.850791Z digest=sha256:dcb60a183e4a6912af7d6db1ecf7cf78d6342d4ce4d746c34e32cc2e7712bf5b