Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-15T16:44:53.870605Z
Paper Citation Record · LEDGER
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.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-15T16:44:53.870605Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
48 of 48 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 072c7afb-3b41-4b2f-afaa-15f077cda41a · outbound
Reference 1
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.
Observation 138af486-666f-407e-8ddb-3586eb9b4eab · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 55205496-0704-4feb-afd7-70e89776d217 · outbound
Convergence of Stochastic Gradient Methods for Wide Two-Layer Physics-Informed Neural Networks for the Poisson Equation Unresolved cited work
Reference 3
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.
Observation 1d1a8671-30f6-461b-bf42-010fdd9cd9be · outbound
Convergence of Stochastic Gradient Methods for Wide Two-Layer Physics-Informed Neural Networks for the Poisson Equation Unresolved cited work
Reference 4
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.
Observation 08f528f4-140f-4ff7-8e64-6490a2dbc613 · outbound
Reference 5
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.
Observation 49ebc714-240c-4df0-864a-0c7f71942d4f · outbound
Convergence of Stochastic Gradient Methods for Wide Two-Layer Physics-Informed Neural Networks for the Poisson Equation Unresolved cited work
Reference 6
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.
Observation 01e27a5d-6ba1-49dc-ae99-2532cac734d1 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 80b5bad3-4d8e-42e4-805d-d19363e022b5 · outbound
Convergence of Stochastic Gradient Methods for Wide Two-Layer Physics-Informed Neural Networks for the Poisson Equation Unresolved cited work
Reference 8
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.
Observation eeda64c9-1d8c-457a-8ecc-30ab3e6b0938 · outbound
Reference 9
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 94757dfe-02da-4bb8-b8a5-de51af5dcd66 · outbound
Convergence of Stochastic Gradient Methods for Wide Two-Layer Physics-Informed Neural Networks for the Poisson Equation Unresolved cited work
Reference 10
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.
Observation 3c3c6990-c384-4526-8011-50c4004319ae · outbound
Reference 11
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.
Observation f38e818d-723b-415b-ac2e-ea7d5e298c61 · outbound
Reference 12
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.
Observation 01a42487-0270-4736-854e-4c8f3edcd60e · outbound
Convergence of Stochastic Gradient Methods for Wide Two-Layer Physics-Informed Neural Networks for the Poisson Equation De Ryck and S
Reference 13
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 77407831-edbb-48bd-b8ba-b511eb29d2a4 · outbound
Convergence of Stochastic Gradient Methods for Wide Two-Layer Physics-Informed Neural Networks for the Poisson Equation Unresolved cited work
Reference 14
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.
Observation c44fbb7b-8c30-4ca3-9667-0dc956973a96 · outbound
Convergence of Stochastic Gradient Methods for Wide Two-Layer Physics-Informed Neural Networks for the Poisson Equation Unresolved cited work
Reference 15
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 38cd7f0c-81c3-4951-9741-96f8bdbd91b2 · outbound
Convergence of Stochastic Gradient Methods for Wide Two-Layer Physics-Informed Neural Networks for the Poisson Equation Unresolved cited work
Reference 16
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.
Observation 9cc89626-b1ff-44b8-b88a-378c6d21b7d2 · outbound
Reference 17
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.
Observation 49de712a-4de3-42a1-81a3-df5dacede3f8 · outbound
Convergence of Stochastic Gradient Methods for Wide Two-Layer Physics-Informed Neural Networks for the Poisson Equation Unresolved cited work
Reference 18
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.
Observation e10b9cea-fd5e-4f69-8261-4d1d900abef4 · outbound
Convergence of Stochastic Gradient Methods for Wide Two-Layer Physics-Informed Neural Networks for the Poisson Equation Unresolved cited work
Reference 19
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.
Observation 8e9f0811-c082-4032-b9c7-2983a28b7698 · outbound
Convergence of Stochastic Gradient Methods for Wide Two-Layer Physics-Informed Neural Networks for the Poisson Equation Unresolved cited work
Reference 20
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.
Observation a506461e-4e6c-4b8d-b953-636be4eeb647 · outbound
Convergence of Stochastic Gradient Methods for Wide Two-Layer Physics-Informed Neural Networks for the Poisson Equation Unresolved cited work
Reference 21
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ce8faf99-a5eb-4ed6-808f-22851402ea08 · outbound
Reference 22
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.
Observation 88ba4f8f-bd5e-4a2a-be87-883e97988752 · outbound
Convergence of Stochastic Gradient Methods for Wide Two-Layer Physics-Informed Neural Networks for the Poisson Equation Unresolved cited work
Reference 23
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.
Observation 755101f4-f72f-458f-adc5-2df56355f25f · outbound
Convergence of Stochastic Gradient Methods for Wide Two-Layer Physics-Informed Neural Networks for the Poisson Equation Unresolved cited work
Reference 24
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.
Observation bd360eb2-2a36-48d0-8831-f6d24532b92b · outbound
Reference 25
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.
Observation 11cd2068-5d7c-455d-ac76-301b1d9f7f3f · outbound
Convergence of Stochastic Gradient Methods for Wide Two-Layer Physics-Informed Neural Networks for the Poisson Equation Unresolved cited work
Reference 26
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.
Observation d925faf7-c129-419c-a121-40aea3450177 · outbound
Convergence of Stochastic Gradient Methods for Wide Two-Layer Physics-Informed Neural Networks for the Poisson Equation Unresolved cited work
Reference 27
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.
Observation 93cd4264-3847-41d5-8b55-0dee9e7449c9 · outbound
Convergence of Stochastic Gradient Methods for Wide Two-Layer Physics-Informed Neural Networks for the Poisson Equation Unresolved cited work
Reference 28
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.
Observation b22c733d-f69b-4dd1-9b78-20f055ea92ea · outbound
Convergence of Stochastic Gradient Methods for Wide Two-Layer Physics-Informed Neural Networks for the Poisson Equation Unresolved cited work
Reference 29
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.
Observation a35541ff-aba1-47b0-94ae-7fb0c7a10b67 · outbound
Convergence of Stochastic Gradient Methods for Wide Two-Layer Physics-Informed Neural Networks for the Poisson Equation Unresolved cited work
Reference 30
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.
Observation a60df77b-d0cc-4bb6-ba14-2d8d35937925 · outbound
Reference 31
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.
Observation 92f28bcc-f342-4f29-acd0-d84366625689 · outbound
Reference 32
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.
Observation de0d8769-b3b8-4206-b43e-2332f5caf60b · outbound
Convergence of Stochastic Gradient Methods for Wide Two-Layer Physics-Informed Neural Networks for the Poisson Equation Unresolved cited work
Reference 33
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.
Observation 2e0aa8ef-26e5-4c61-996d-232e1dd6f6e4 · outbound
Reference 34
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.
Observation cb92e31e-1e52-456d-8569-205f94a776e5 · outbound
Reference 35
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.
Observation 87511850-c194-4e87-9c89-56a876c50cfc · outbound
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
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.
Observation 35b6b532-96a7-4275-8288-4553ca456465 · outbound
Reference 37
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 638e39ec-647c-4ac6-bb71-70ce4f654213 · outbound
Convergence of Stochastic Gradient Methods for Wide Two-Layer Physics-Informed Neural Networks for the Poisson Equation High-Dimensional Statistics
Reference 38
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8a7db3fd-a383-4e4e-abef-45172c64ebb3 · outbound
Convergence of Stochastic Gradient Methods for Wide Two-Layer Physics-Informed Neural Networks for the Poisson Equation Sirignano and K
Reference 39
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d21edefd-f698-4d84-a735-c921e64ca59c · outbound
Convergence of Stochastic Gradient Methods for Wide Two-Layer Physics-Informed Neural Networks for the Poisson Equation Unresolved cited work
Reference 40
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2a7b04b8-a6b8-4087-9628-84f4dc602aa6 · outbound
Convergence of Stochastic Gradient Methods for Wide Two-Layer Physics-Informed Neural Networks for the Poisson Equation Unresolved cited work
Reference 41
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.
Observation 19139026-9039-4ed0-82b3-56808cc1ed30 · outbound
Convergence of Stochastic Gradient Methods for Wide Two-Layer Physics-Informed Neural Networks for the Poisson Equation Vladimirova, S
Reference 42
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.
Observation ee7f47b1-b7a9-4ee2-9997-e2fb0ea25629 · outbound
Convergence of Stochastic Gradient Methods for Wide Two-Layer Physics-Informed Neural Networks for the Poisson Equation Unresolved cited work
Reference 43
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.
Observation bc54a7aa-8d73-45fd-9bee-0cdda45d4afe · outbound
Convergence of Stochastic Gradient Methods for Wide Two-Layer Physics-Informed Neural Networks for the Poisson Equation Unresolved cited work
Reference 44
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.
Observation 0126b3a5-60d7-46e4-8ce4-5d3eb9c665d6 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f0d25daf-e95e-412e-b0f3-90f4a79faf62 · outbound
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
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.
Observation 3a9431b2-f15a-4945-860d-cf9e05ae206c · outbound
Convergence of Stochastic Gradient Methods for Wide Two-Layer Physics-Informed Neural Networks for the Poisson Equation Unresolved cited work
Reference 47
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 07cae502-cd4f-4358-836a-7f227b0b263d · outbound
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
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.
No inbound Pith citation observations are available.