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Paper Citation Record · LEDGER

Convergence of Stochastic Gradient Methods for Wide Two-Layer Physics-Informed Neural Networks for the Poisson Equation

As of 17 August 2026, this Paper Citation Record lists 48 of 48 outbound references and 0 inbound Pith citation observations for arXiv:2508.21571.

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

pith.paper-citation-record.v1
2508.21571 v2

Coverage vector

measured 48 of 48 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T16:44:53.870605Z

measured 48 of 48 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+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

48 of 48 outbound references displayed

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  • verified fuzzy12
  • unresolved33
  • parse uncertain0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 072c7afb-3b41-4b2f-afaa-15f077cda41a · outbound

This paper cites Allen-Zhu, Y.

Convergence of Stochastic Gradient Methods for Wide Two-Layer Physics-Informed Neural Networks for the Poisson Equation Allen-Zhu, Y

Reference 1

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation 138af486-666f-407e-8ddb-3586eb9b4eab · outbound

This paper cites Convergence of stochastic gradient descent under a local Lojasiewicz condition for deep neural networks.

Convergence of Stochastic Gradient Methods for Wide Two-Layer Physics-Informed Neural Networks for the Poisson Equation Convergence of stochastic gradient descent under a local Lojasiewicz condition for deep neural networks

Reference 2

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 55205496-0704-4feb-afd7-70e89776d217 · outbound

This paper cites an unresolved cited work.

Convergence of Stochastic Gradient Methods for Wide Two-Layer Physics-Informed Neural Networks for the Poisson Equation Unresolved cited work

Reference 3

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Observation 1d1a8671-30f6-461b-bf42-010fdd9cd9be · outbound

This paper cites an unresolved cited work.

Convergence of Stochastic Gradient Methods for Wide Two-Layer Physics-Informed Neural Networks for the Poisson Equation Unresolved cited work

Reference 4

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation 08f528f4-140f-4ff7-8e64-6490a2dbc613 · outbound

This paper cites Bonfanti, G.

Convergence of Stochastic Gradient Methods for Wide Two-Layer Physics-Informed Neural Networks for the Poisson Equation Bonfanti, G

Reference 5

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation 49ebc714-240c-4df0-864a-0c7f71942d4f · outbound

This paper cites an unresolved cited work.

Convergence of Stochastic Gradient Methods for Wide Two-Layer Physics-Informed Neural Networks for the Poisson Equation Unresolved cited work

Reference 6

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation 01e27a5d-6ba1-49dc-ae99-2532cac734d1 · outbound

This paper cites Stochastic Gradient Descent for Two-layer Neural Networks.

Convergence of Stochastic Gradient Methods for Wide Two-Layer Physics-Informed Neural Networks for the Poisson Equation Stochastic Gradient Descent for Two-layer Neural Networks

Reference 7

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 80b5bad3-4d8e-42e4-805d-d19363e022b5 · outbound

This paper cites an unresolved cited work.

Convergence of Stochastic Gradient Methods for Wide Two-Layer Physics-Informed Neural Networks for the Poisson Equation Unresolved cited work

Reference 8

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation eeda64c9-1d8c-457a-8ecc-30ab3e6b0938 · outbound

This paper cites Chatterjee.

Convergence of Stochastic Gradient Methods for Wide Two-Layer Physics-Informed Neural Networks for the Poisson Equation Chatterjee

Reference 9

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Observation 94757dfe-02da-4bb8-b8a5-de51af5dcd66 · outbound

This paper cites an unresolved cited work.

Convergence of Stochastic Gradient Methods for Wide Two-Layer Physics-Informed Neural Networks for the Poisson Equation Unresolved cited work

Reference 10

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Observation 3c3c6990-c384-4526-8011-50c4004319ae · outbound

This paper cites Chizat, E.

Convergence of Stochastic Gradient Methods for Wide Two-Layer Physics-Informed Neural Networks for the Poisson Equation Chizat, E

Reference 11

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Observation f38e818d-723b-415b-ac2e-ea7d5e298c61 · outbound

This paper cites Cuomo, V.

Convergence of Stochastic Gradient Methods for Wide Two-Layer Physics-Informed Neural Networks for the Poisson Equation Cuomo, V

Reference 12

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Observation 01a42487-0270-4736-854e-4c8f3edcd60e · outbound

This paper cites De Ryck and S.

Convergence of Stochastic Gradient Methods for Wide Two-Layer Physics-Informed Neural Networks for the Poisson Equation De Ryck and S

Reference 13

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Observation 77407831-edbb-48bd-b8ba-b511eb29d2a4 · outbound

This paper cites an unresolved cited work.

Convergence of Stochastic Gradient Methods for Wide Two-Layer Physics-Informed Neural Networks for the Poisson Equation Unresolved cited work

Reference 14

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Observation c44fbb7b-8c30-4ca3-9667-0dc956973a96 · outbound

This paper cites an unresolved cited work.

Convergence of Stochastic Gradient Methods for Wide Two-Layer Physics-Informed Neural Networks for the Poisson Equation Unresolved cited work

Reference 15

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Unavailable: canonical work link unavailable.

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Observation 38cd7f0c-81c3-4951-9741-96f8bdbd91b2 · outbound

This paper cites an unresolved cited work.

Convergence of Stochastic Gradient Methods for Wide Two-Layer Physics-Informed Neural Networks for the Poisson Equation Unresolved cited work

Reference 16

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Observation 9cc89626-b1ff-44b8-b88a-378c6d21b7d2 · outbound

This paper cites Eivazi, M.

Convergence of Stochastic Gradient Methods for Wide Two-Layer Physics-Informed Neural Networks for the Poisson Equation Eivazi, M

Reference 17

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Observation 49de712a-4de3-42a1-81a3-df5dacede3f8 · outbound

This paper cites an unresolved cited work.

Convergence of Stochastic Gradient Methods for Wide Two-Layer Physics-Informed Neural Networks for the Poisson Equation Unresolved cited work

Reference 18

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Observation e10b9cea-fd5e-4f69-8261-4d1d900abef4 · outbound

This paper cites an unresolved cited work.

Convergence of Stochastic Gradient Methods for Wide Two-Layer Physics-Informed Neural Networks for the Poisson Equation Unresolved cited work

Reference 19

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Observation 8e9f0811-c082-4032-b9c7-2983a28b7698 · outbound

This paper cites an unresolved cited work.

Convergence of Stochastic Gradient Methods for Wide Two-Layer Physics-Informed Neural Networks for the Poisson Equation Unresolved cited work

Reference 20

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Observation a506461e-4e6c-4b8d-b953-636be4eeb647 · outbound

This paper cites an unresolved cited work.

Convergence of Stochastic Gradient Methods for Wide Two-Layer Physics-Informed Neural Networks for the Poisson Equation Unresolved cited work

Reference 21

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation ce8faf99-a5eb-4ed6-808f-22851402ea08 · outbound

This paper cites Jacot, F.

Convergence of Stochastic Gradient Methods for Wide Two-Layer Physics-Informed Neural Networks for the Poisson Equation Jacot, F

Reference 22

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Observation 88ba4f8f-bd5e-4a2a-be87-883e97988752 · outbound

This paper cites an unresolved cited work.

Convergence of Stochastic Gradient Methods for Wide Two-Layer Physics-Informed Neural Networks for the Poisson Equation Unresolved cited work

Reference 23

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Observation 755101f4-f72f-458f-adc5-2df56355f25f · outbound

This paper cites an unresolved cited work.

Convergence of Stochastic Gradient Methods for Wide Two-Layer Physics-Informed Neural Networks for the Poisson Equation Unresolved cited work

Reference 24

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Observation bd360eb2-2a36-48d0-8831-f6d24532b92b · outbound

This paper cites Kazamaki.

Convergence of Stochastic Gradient Methods for Wide Two-Layer Physics-Informed Neural Networks for the Poisson Equation Kazamaki

Reference 25

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Observation 11cd2068-5d7c-455d-ac76-301b1d9f7f3f · outbound

This paper cites an unresolved cited work.

Convergence of Stochastic Gradient Methods for Wide Two-Layer Physics-Informed Neural Networks for the Poisson Equation Unresolved cited work

Reference 26

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Observation d925faf7-c129-419c-a121-40aea3450177 · outbound

This paper cites an unresolved cited work.

Convergence of Stochastic Gradient Methods for Wide Two-Layer Physics-Informed Neural Networks for the Poisson Equation Unresolved cited work

Reference 27

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Observation 93cd4264-3847-41d5-8b55-0dee9e7449c9 · outbound

This paper cites an unresolved cited work.

Convergence of Stochastic Gradient Methods for Wide Two-Layer Physics-Informed Neural Networks for the Poisson Equation Unresolved cited work

Reference 28

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Observation b22c733d-f69b-4dd1-9b78-20f055ea92ea · outbound

This paper cites an unresolved cited work.

Convergence of Stochastic Gradient Methods for Wide Two-Layer Physics-Informed Neural Networks for the Poisson Equation Unresolved cited work

Reference 29

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation a35541ff-aba1-47b0-94ae-7fb0c7a10b67 · outbound

This paper cites an unresolved cited work.

Convergence of Stochastic Gradient Methods for Wide Two-Layer Physics-Informed Neural Networks for the Poisson Equation Unresolved cited work

Reference 30

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation a60df77b-d0cc-4bb6-ba14-2d8d35937925 · outbound

This paper cites Lugosi and E.

Convergence of Stochastic Gradient Methods for Wide Two-Layer Physics-Informed Neural Networks for the Poisson Equation Lugosi and E

Reference 31

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation 92f28bcc-f342-4f29-acd0-d84366625689 · outbound

This paper cites Luo and H.

Convergence of Stochastic Gradient Methods for Wide Two-Layer Physics-Informed Neural Networks for the Poisson Equation Luo and H

Reference 32

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation de0d8769-b3b8-4206-b43e-2332f5caf60b · outbound

This paper cites an unresolved cited work.

Convergence of Stochastic Gradient Methods for Wide Two-Layer Physics-Informed Neural Networks for the Poisson Equation Unresolved cited work

Reference 33

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation 2e0aa8ef-26e5-4c61-996d-232e1dd6f6e4 · outbound

This paper cites Mishra and R.

Convergence of Stochastic Gradient Methods for Wide Two-Layer Physics-Informed Neural Networks for the Poisson Equation Mishra and R

Reference 34

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation cb92e31e-1e52-456d-8569-205f94a776e5 · outbound

This paper cites Nguyen, M.

Convergence of Stochastic Gradient Methods for Wide Two-Layer Physics-Informed Neural Networks for the Poisson Equation Nguyen, M

Reference 35

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation 87511850-c194-4e87-9c89-56a876c50cfc · outbound

This paper cites Non-Asymptotic Analysis of Projected Gradient Descent for Physics-Informed Neural Networks.

Convergence of Stochastic Gradient Methods for Wide Two-Layer Physics-Informed Neural Networks for the Poisson Equation Non-Asymptotic Analysis of Projected Gradient Descent for Physics-Informed Neural Networks

Reference 36

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local_arxiv, observed 2026-08-15T16:44:53.968550Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T16:44:53.815862Z digest=sha256:3f784b3637491b3cc3a1a437710896058f2f8c2898cd00f61ba756f7abfafcd3

Observation 35b6b532-96a7-4275-8288-4553ca456465 · outbound

This paper cites Raissi, P.

Convergence of Stochastic Gradient Methods for Wide Two-Layer Physics-Informed Neural Networks for the Poisson Equation Raissi, P

Reference 37

Resolution
unresolved
no resolver link, observed 2026-08-15T16:44:53.820631Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T16:44:53.820631Z digest=sha256:b0c7ccc2f425a52a662672e174f9ef3fdfe8412faa837bcaaf1e6ae9febd9eab

Observation 638e39ec-647c-4ac6-bb71-70ce4f654213 · outbound

This paper cites High-Dimensional Statistics.

Convergence of Stochastic Gradient Methods for Wide Two-Layer Physics-Informed Neural Networks for the Poisson Equation High-Dimensional Statistics

Reference 38

Resolution
unresolved
no resolver link, observed 2026-08-15T16:44:53.825216Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T16:44:53.825216Z digest=sha256:a4ad219f0fdd621972e228aef40e375fa2f6da1df28ef3610a58f7d12b2bac80

Observation 8a7db3fd-a383-4e4e-abef-45172c64ebb3 · outbound

This paper cites Sirignano and K.

Convergence of Stochastic Gradient Methods for Wide Two-Layer Physics-Informed Neural Networks for the Poisson Equation Sirignano and K

Reference 39

Resolution
unresolved
no resolver link, observed 2026-08-15T16:44:53.829912Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T16:44:53.829912Z digest=sha256:99ee72b065adda158a5e624d9bd9b533107088a4d858f6f927f3248114f4f4d3

Observation d21edefd-f698-4d84-a735-c921e64ca59c · outbound

This paper cites an unresolved cited work.

Convergence of Stochastic Gradient Methods for Wide Two-Layer Physics-Informed Neural Networks for the Poisson Equation Unresolved cited work

Reference 40

Resolution
unresolved
no resolver link, observed 2026-08-15T16:44:53.834411Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T16:44:53.834411Z digest=sha256:e0a3772bc79bab67f224da85a095b209ba91b212875a48d5b34f4004f7cb1aa8

Observation 2a7b04b8-a6b8-4087-9628-84f4dc602aa6 · outbound

This paper cites an unresolved cited work.

Convergence of Stochastic Gradient Methods for Wide Two-Layer Physics-Informed Neural Networks for the Poisson Equation Unresolved cited work

Reference 41

Resolution
unresolved
raw_fallback, observed 2026-08-15T16:44:54.248491Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T16:44:53.838982Z digest=sha256:1a39e404d79e6c2f4e643936036457e6128b4446259d8ae4a03bdfa27e3d8aac

Observation 19139026-9039-4ed0-82b3-56808cc1ed30 · outbound

This paper cites Vladimirova, S.

Convergence of Stochastic Gradient Methods for Wide Two-Layer Physics-Informed Neural Networks for the Poisson Equation Vladimirova, S

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:44:54.233907Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T16:44:53.843561Z digest=sha256:b1ab535d2fc2f16fa1058bd4d252c585b8e7c4ba85ced9b0dd7f02f1dc0db503

Observation ee7f47b1-b7a9-4ee2-9997-e2fb0ea25629 · outbound

This paper cites an unresolved cited work.

Convergence of Stochastic Gradient Methods for Wide Two-Layer Physics-Informed Neural Networks for the Poisson Equation Unresolved cited work

Reference 43

Resolution
unresolved
raw_fallback, observed 2026-08-15T16:44:54.219496Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T16:44:53.847980Z digest=sha256:c23882a3c26f14249e71b544445b0c325fb79e099d22cb5c4d6bf3957446893a

Observation bc54a7aa-8d73-45fd-9bee-0cdda45d4afe · outbound

This paper cites an unresolved cited work.

Convergence of Stochastic Gradient Methods for Wide Two-Layer Physics-Informed Neural Networks for the Poisson Equation Unresolved cited work

Reference 44

Resolution
unresolved
raw_fallback, observed 2026-08-15T16:44:54.204746Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T16:44:53.852642Z digest=sha256:8c002af2b37904d67df9e8adfd67be167c6e86c056e4e06c67a31a497c916020

Observation 0126b3a5-60d7-46e4-8ce4-5d3eb9c665d6 · outbound

This paper cites Convergence Analysis of Natural Gradient Descent for Over-parameterized Physics-Informed Neural Networks.

Convergence of Stochastic Gradient Methods for Wide Two-Layer Physics-Informed Neural Networks for the Poisson Equation Convergence Analysis of Natural Gradient Descent for Over-parameterized Physics-Informed Neural Networks

Reference 45

Resolution
unresolved
no resolver link, observed 2026-08-15T16:44:53.857044Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T16:44:53.857044Z digest=sha256:7f376a8b4c108e73afbe86a21414374cadd129bd0fc1c28d0c0fcbc91a51d655

Observation f0d25daf-e95e-412e-b0f3-90f4a79faf62 · outbound

This paper cites Convergence of Implicit Gradient Descent for Training Two-Layer Physics-Informed Neural Networks.

Convergence of Stochastic Gradient Methods for Wide Two-Layer Physics-Informed Neural Networks for the Poisson Equation Convergence of Implicit Gradient Descent for Training Two-Layer Physics-Informed Neural Networks

Reference 46

Resolution
verified exact
local_arxiv, observed 2026-08-15T16:44:53.915304Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T16:44:53.861579Z digest=sha256:282683f7dc2e811e9ff8452064f53e2af3c640cbf604e2ed20179411cb4368d2

Observation 3a9431b2-f15a-4945-860d-cf9e05ae206c · outbound

This paper cites an unresolved cited work.

Convergence of Stochastic Gradient Methods for Wide Two-Layer Physics-Informed Neural Networks for the Poisson Equation Unresolved cited work

Reference 47

Resolution
unresolved
no resolver link, observed 2026-08-15T16:44:53.866248Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T16:44:53.866248Z digest=sha256:1095fa84fb8be8a736dc6ff2ef23e95f8f42b4f17237bb6e5fd96319a406c915

Observation 07cae502-cd4f-4358-836a-7f227b0b263d · outbound

This paper cites s(t + 1) h(t + 1) − s(t) h(t) 2 2 · 1T>t|F t # ≤c2η2C4 BB12L(t). In summary, we obtain E [2L(t + 1)· 1T>t+1|F t] =E.

Convergence of Stochastic Gradient Methods for Wide Two-Layer Physics-Informed Neural Networks for the Poisson Equation s(t + 1) h(t + 1) − s(t) h(t) 2 2 · 1T>t|F t # ≤c2η2C4 BB12L(t). In summary, we obtain E [2L(t + 1)· 1T>t+1|F t] =E

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:44:54.181178Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T16:44:53.870605Z digest=sha256:1b472ec54d5fcc4b206c26087ab1a6ad61d8d001a11b1deb5ee31a286cd2839d

Pith citing papers

No inbound Pith citation observations are available.