Pith. sign in

Paper Citation Record · LEDGER

Two-Layer Neural Networks for Partial Differential Equations: Optimization and Generalization Theory

As of 13 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 6 inbound Pith citation observations for arXiv:2006.15733.

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

pith.paper-citation-record.v1
2006.15733 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 6 of 6 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 6 of 6 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-11T20:07:55.466985Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T07:59:40.351899Z

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 5b283630-f894-4f46-8f06-c307de3556ba · inbound

Is the neural tangent kernel of PINNs deep learning general partial differential equations always convergent ? cites this paper.

Is the neural tangent kernel of PINNs deep learning general partial differential equations always convergent ? Two-Layer Neural Networks for Partial Differential Equations: Optimization and Generalization Theory

Reference 34

Resolution
unresolved
no resolver link, observed 2026-08-11T20:07:55.466985Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T20:07:55.466985Z digest=sha256:d34e28877557ecdf9f103d641ab2affff4c5447a36a68bf04ea44b4797e21430

Observation e95dbadf-660b-4661-9cc4-a173a9e92ae2 · inbound

Approximation Rates in Fr\'echet Metrics: Barron Spaces, Paley-Wiener Spaces, and Fourier Multipliers cites this paper.

Approximation Rates in Fr\'echet Metrics: Barron Spaces, Paley-Wiener Spaces, and Fourier Multipliers Two-Layer Neural Networks for Partial Differential Equations: Optimization and Generalization Theory

Reference 48

Resolution
unresolved
no resolver link, observed 2026-08-11T00:09:09.766953Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T00:09:09.766953Z digest=sha256:15f9da5c0186f1dca7228bbb41af5a2b9cb54fb5bd7a43400ec26bd65d125416

Observation 0806837c-fb6e-4d3b-b2a1-0fd3c9787acd · inbound

Learn Singularly Perturbed Solutions via Homotopy Dynamics cites this paper.

Learn Singularly Perturbed Solutions via Homotopy Dynamics Two-Layer Neural Networks for Partial Differential Equations: Optimization and Generalization Theory

Reference 44

Resolution
unresolved
no resolver link, observed 2026-08-09T18:57:13.596940Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-09T18:57:13.596940Z digest=sha256:82ebf0d70d774aaa5a605b56d40d753068c63a4a52503386966723307c01ab11

Observation 762840bb-80ed-4dc9-96e6-867398ea3e0e · inbound

Layer Separation Deep Learning Model with Auxiliary Variables for Partial Differential Equations cites this paper.

Layer Separation Deep Learning Model with Auxiliary Variables for Partial Differential Equations Two-Layer Neural Networks for Partial Differential Equations: Optimization and Generalization Theory

Reference 2020

Resolution
unresolved
no resolver link, observed 2026-08-06T16:47:35.571344Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T16:47:35.571344Z digest=sha256:2bb080184b7c4a34e8a8317504835551f72b2c1d98f030c9fc377834b339a7ae

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

Optimization and generalization analysis for two-layer physics-informed neural networks without over-parametrization cites this paper.

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.

source=arxiv_source observed=2026-08-06T15:23:02.176801Z digest=sha256:be3246bf401c7901a3b73867062b94fbb41f7e0e7a3d38550e017a93b1449143

Observation 74560603-7629-4a9a-9392-013970fc3ef2 · inbound

Parameterized Representations via Implicit Stochastic Modulation for High-Dimensional and High-Order Neural PDE Solvers cites this paper.

Parameterized Representations via Implicit Stochastic Modulation for High-Dimensional and High-Order Neural PDE Solvers Two-Layer Neural Networks for Partial Differential Equations: Optimization and Generalization Theory

Reference 25

Resolution
verified exact
arxiv_id, observed 2026-07-04T07:59:40.353092Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-06-26T12:20:25.523371Z digest=sha256:14ce8e3d73a91c512252f0d0c6c1c25cf602d87da9cec6e67478a3c09945c41f