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Paper Citation Record · LEDGER

Gradient Descent can Learn Less Over-parameterized Two-layer Neural Networks on Classification Problems

As of 23 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 9 inbound Pith citation observations for arXiv:1905.09870.

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

pith.paper-citation-record.v1
1905.09870 v3

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 9 of 9 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+00:00

measured 9 of 9 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-02T12:16:42.973908Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T14:49:54.902609Z

Reference resolution

0 of 0 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

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 e56068ef-b400-4a52-a3cc-95650784d892 · inbound

Self-Play Fine-Tuning Converts Weak Language Models to Strong Language Models cites this paper.

Self-Play Fine-Tuning Converts Weak Language Models to Strong Language Models Gradient Descent can Learn Less Over-parameterized Two-layer Neural Networks on Classification Problems

Reference 96

Resolution
metadata mismatch
arxiv_id, observed 2026-05-14T23:00:21.330637Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-05-14T23:00:20.720030Z digest=sha256:e49b9c5444406642847c30d4c099fe98ec32c028e40b002ad6aad74a9d011278

Observation 6dba53df-2264-4032-b059-820247e2d77d · inbound

Optimization, Generalization and Differential Privacy Bounds for Gradient Descent on Kolmogorov-Arnold Networks cites this paper.

Optimization, Generalization and Differential Privacy Bounds for Gradient Descent on Kolmogorov-Arnold Networks Gradient Descent can Learn Less Over-parameterized Two-layer Neural Networks on Classification Problems

Reference 35

Resolution
verified exact
arxiv_id, observed 2026-05-16T09:37:41.914956Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-05-16T09:34:00.409455Z digest=sha256:27d455e9255821a9f6ccc4111d59ad8efd4e8d27fa53aa5e2387f2152e147822

Observation 9246c17a-fb09-40af-9fd1-c520baa2e571 · inbound

Population Risk Bounds for Kolmogorov-Arnold Networks Trained by DP-SGD with Correlated Noise cites this paper.

Population Risk Bounds for Kolmogorov-Arnold Networks Trained by DP-SGD with Correlated Noise Gradient Descent can Learn Less Over-parameterized Two-layer Neural Networks on Classification Problems

Reference 44

Resolution
verified exact
arxiv_id, observed 2026-05-14T21:43:00.870563Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-05-14T21:39:34.680193Z digest=sha256:f681193f9a6d60c747e102f70ee9f7f542cd9faf68f706e61b02f9f9c67e670c

Observation 18b63de0-e0ae-4570-80c5-1575137f9f83 · inbound

Optimal Rates for Generalization of Gradient Descent Methods with Deep Neural Networks cites this paper.

Optimal Rates for Generalization of Gradient Descent Methods with Deep Neural Networks Gradient Descent can Learn Less Over-parameterized Two-layer Neural Networks on Classification Problems

Reference 41

Resolution
verified exact
arxiv_id, observed 2026-07-02T15:57:07.396985Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-06-27T23:06:23.042883Z digest=sha256:b415e11347953d1e0c4f86be63cb7ca05a0a7552827e4fa838f04ca78e4d8a9c

Observation f76ee476-e345-4afd-9aa2-40c6a07aa2f6 · inbound

Minimax-Optimal Generalization Bounds for Smooth Deep Neural Networks Trained by (Stochastic) Gradient Descent cites this paper.

Minimax-Optimal Generalization Bounds for Smooth Deep Neural Networks Trained by (Stochastic) Gradient Descent Gradient Descent can Learn Less Over-parameterized Two-layer Neural Networks on Classification Problems

Reference 33

Resolution
verified exact
arxiv_id, observed 2026-07-02T16:07:08.510992Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-06-27T23:03:52.889955Z digest=sha256:78ac482b68b8445569e2bff0f1a7fb5ad2f016e85a38c485b3ca1ade25e2c276

Observation f14d8b6b-c8eb-44e2-8ba6-cfc0d304c6f9 · inbound

Minimax-Optimal Generalization Bounds for Smooth Deep Neural Networks Trained by (Stochastic) Gradient Descent cites this paper.

Minimax-Optimal Generalization Bounds for Smooth Deep Neural Networks Trained by (Stochastic) Gradient Descent Gradient Descent can Learn Less Over-parameterized Two-layer Neural Networks on Classification Problems

Reference 33

Resolution
unresolved
no resolver link, observed 2026-08-02T12:16:42.973908Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T12:16:42.973908Z digest=sha256:ab2ed3b8d5b432d7b40c199998f5210a076d27e2b9b5b023570e5a4ab8bbb668

Observation 4ed481b6-32df-442c-989b-7e1e45308d7d · inbound

A Theory on Flow Matching with Neural Networks cites this paper.

A Theory on Flow Matching with Neural Networks Gradient Descent can Learn Less Over-parameterized Two-layer Neural Networks on Classification Problems

Reference 123

Resolution
metadata mismatch
arxiv_id, observed 2026-07-03T00:57:29.386764Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-06-27T16:59:34.084575Z digest=sha256:723e07d91cf245c8f12e53eaa3a6275bc86188c64d016f58ae750cb3cf9ca540

Observation 15290d15-d8d8-4826-87ad-075ba7be7053 · inbound

Structure Before Collapse: Transient semantic geometry in next-token prediction cites this paper.

Structure Before Collapse: Transient semantic geometry in next-token prediction Gradient Descent can Learn Less Over-parameterized Two-layer Neural Networks on Classification Problems

Reference 272

Resolution
metadata mismatch
arxiv_id, observed 2026-07-04T13:29:51.148754Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-06-26T05:14:07.208255Z digest=sha256:0497ddc9ead3c28e97c98a56e61f1040abfd1fe5524a122acce31f0d5649705e

Observation 74ac9a67-721b-41c0-9fea-69195c08c7f4 · inbound

Estimation of High Dimensional Bounded Discrete Graphical Models via Regularized Generalized Score Matching cites this paper.

Estimation of High Dimensional Bounded Discrete Graphical Models via Regularized Generalized Score Matching Gradient Descent can Learn Less Over-parameterized Two-layer Neural Networks on Classification Problems

Reference 256

Resolution
metadata mismatch
arxiv_id, observed 2026-07-04T14:49:54.906031Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-06-26T02:36:28.490582Z digest=sha256:20745a7a84d602db418011bffe4d476123c14024af46ff64b11e3e3edb9fc266