Paper Citation Record · LEDGER

Optimization and generalization analysis for two-layer physics-informed neural networks without over-parametrization

As of 12 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 0 inbound Pith citation observations for arXiv:2507.16380.

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

pith.paper-citation-record.v1
2507.16380 v1

Coverage vector

measured 26 of 26 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T15:23:02.203058Z

measured 26 of 26 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

26 of 26 outbound references displayed

verified exact0
verified fuzzy12
unresolved14
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 84a7bbf1-04d5-4c59-b3a5-26733f9ef4d8 · outbound

This paper cites Abbasi, P.

Optimization and generalization analysis for two-layer physics-informed neural networks without over-parametrization Abbasi, P

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:23:02.436748Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 6767719c-147a-4b2e-9cfb-3fec35d1fa76 · outbound

This paper cites Allen-Zhu, Y.

Optimization and generalization analysis for two-layer physics-informed neural networks without over-parametrization Allen-Zhu, Y

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:23:02.427640Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 8ea4ec30-242c-4e66-bc74-e4361282b743 · outbound

This paper cites Allen-Zhu, Y.

Optimization and generalization analysis for two-layer physics-informed neural networks without over-parametrization Allen-Zhu, Y

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:23:02.419467Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 77292f24-f4e2-49fc-acd1-a7999ec64368 · outbound

This paper cites Andoni, R.

Optimization and generalization analysis for two-layer physics-informed neural networks without over-parametrization Andoni, R

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:23:02.410401Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation d9abced1-28d0-4e20-b6da-2c7ebede4418 · outbound

This paper cites Barak, B.

Optimization and generalization analysis for two-layer physics-informed neural networks without over-parametrization Barak, B

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:23:02.402141Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 3cac1951-4285-48d6-868d-a7405ac04c5e · outbound

This paper cites an unresolved cited work.

Optimization and generalization analysis for two-layer physics-informed neural networks without over-parametrization Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:23:02.393775Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 45adf958-c53a-4d8a-835d-548d7348b979 · outbound

This paper cites an unresolved cited work.

Optimization and generalization analysis for two-layer physics-informed neural networks without over-parametrization Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:23:02.385472Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 50748ff5-6dbc-4641-b4b3-fe2713019e7f · outbound

This paper cites Caragea, P.

Optimization and generalization analysis for two-layer physics-informed neural networks without over-parametrization Caragea, P

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:23:02.377397Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation ec3d7bfe-4c4c-4800-88d8-7318aca07f38 · outbound

This paper cites an unresolved cited work.

Optimization and generalization analysis for two-layer physics-informed neural networks without over-parametrization Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:23:02.368747Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 0eb27a08-4d33-41b8-9af7-a287b910bb1b · outbound

This paper cites Gradient Descent Provably Optimizes Over-parameterized Neural Networks.

Optimization and generalization analysis for two-layer physics-informed neural networks without over-parametrization Gradient Descent Provably Optimizes Over-parameterized Neural Networks

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-06T15:23:02.156009Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f531e628-6ec9-4667-b57f-b7dcbf80746e · outbound

This paper cites an unresolved cited work.

Optimization and generalization analysis for two-layer physics-informed neural networks without over-parametrization Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:23:02.360877Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 13a3da92-26c6-492a-85e9-1dee56626ca0 · outbound

This paper cites an unresolved cited work.

Optimization and generalization analysis for two-layer physics-informed neural networks without over-parametrization Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:23:02.352115Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 278cd8d9-2cf2-4a4d-95de-7604dcfc1756 · outbound

This paper cites an unresolved cited work.

Optimization and generalization analysis for two-layer physics-informed neural networks without over-parametrization Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:23:02.342475Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 25020472-bec6-4e4a-8399-4194d5fcfded · outbound

This paper cites an unresolved cited work.

Optimization and generalization analysis for two-layer physics-informed neural networks without over-parametrization Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:23:02.334354Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 567d1746-c594-4320-aeb4-dda8cb84fbed · outbound

This paper cites Jacot, F.

Optimization and generalization analysis for two-layer physics-informed neural networks without over-parametrization Jacot, F

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:23:02.325644Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 2b1f2d19-b469-4df6-a060-05ea73859824 · outbound

This paper cites an unresolved cited work.

Optimization and generalization analysis for two-layer physics-informed neural networks without over-parametrization Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:23:02.317181Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation e4b0cace-70de-4d28-bd44-e4e04a2c0570 · outbound

This paper cites Two-Layer Neural Networks for Partial Differential Equations: Optimization and Generalization Theory.

Optimization and generalization analysis for two-layer physics-informed neural networks without over-parametrization Two-Layer Neural Networks for Partial Differential Equations: Optimization and Generalization Theory

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-06T15:23:02.176801Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 351a16aa-308e-42f1-b1f0-7db455a91d32 · outbound

This paper cites Ma and L.

Optimization and generalization analysis for two-layer physics-informed neural networks without over-parametrization Ma and L

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:23:02.308535Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation c33354d4-2d8e-4133-a1ce-7eac5799c60d · outbound

This paper cites an unresolved cited work.

Optimization and generalization analysis for two-layer physics-informed neural networks without over-parametrization Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:23:02.298252Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 07dbc941-8ce7-4a1f-8955-aff573b4a148 · outbound

This paper cites Raissi, P.

Optimization and generalization analysis for two-layer physics-informed neural networks without over-parametrization Raissi, P

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:23:02.289541Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 644b0776-7f6b-4131-bcb0-7708c943cea4 · outbound

This paper cites Shalev-Shwartz and S.

Optimization and generalization analysis for two-layer physics-informed neural networks without over-parametrization Shalev-Shwartz and S

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:23:02.280364Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 4d8221ec-568c-42e9-bf7f-fc1aa5e45c08 · outbound

This paper cites No bad local minima: Data independent training error guarantees for multilayer neural networks.

Optimization and generalization analysis for two-layer physics-informed neural networks without over-parametrization No bad local minima: Data independent training error guarantees for multilayer neural networks

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-06T15:23:02.191093Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5ca4cb64-8554-4d6d-8074-c5ee7df56187 · outbound

This paper cites Wojtowytsch et al.

Optimization and generalization analysis for two-layer physics-informed neural networks without over-parametrization Wojtowytsch et al

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:23:02.272016Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 6263265f-3900-4557-9912-dda94b1f97c1 · outbound

This paper cites Global Convergence of Adaptive Gradient Methods for An Over-parameterized Neural Network.

Optimization and generalization analysis for two-layer physics-informed neural networks without over-parametrization Global Convergence of Adaptive Gradient Methods for An Over-parameterized Neural Network

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-06T15:23:02.196948Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dc99a90d-d229-40b1-9170-66f73ee3354c · outbound

This paper cites Convergence analysis of wide shallow neural operators within the framework of Neural Tangent Kernel.

Optimization and generalization analysis for two-layer physics-informed neural networks without over-parametrization Convergence analysis of wide shallow neural operators within the framework of Neural Tangent Kernel

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-06T15:23:02.200023Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 29fca0f4-513c-41b8-8970-fb71f1dcc62c · outbound

This paper cites Zou and Q.

Optimization and generalization analysis for two-layer physics-informed neural networks without over-parametrization Zou and Q

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:23:02.263137Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Pith citing papers

No inbound Pith citation observations are available.