Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-10T17:42:25.431806Z
Paper Citation Record · LEDGER
Approximation Theory and Applications of Randomized Neural Networks for Solving High-Dimensional PDEs
As of 16 August 2026, this Paper Citation Record lists 43 of 43 outbound references and 5 inbound Pith citation observations for arXiv:2501.12145.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-06-29T23:47:02.293881Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-08-05T02:28:24.338817Z
Reference resolution
43 of 43 outbound references displayed
- verified exact1
- verified fuzzy29
- unresolved13
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
2
arxiv_reference, observed 2026-08-05T02:28:24.338817Z
Outbound references
Observation a89015d8-16c8-4513-9676-c954f666bfbe · outbound
This paper cites an unresolved cited work.
Approximation Theory and Applications of Randomized Neural Networks for Solving High-Dimensional PDEs Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T17:42:26.155417Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation dc9808df-02bb-4276-aabd-8329efce18e1 · outbound
This paper cites an unresolved cited work.
Approximation Theory and Applications of Randomized Neural Networks for Solving High-Dimensional PDEs Unresolved cited work
Reference 2
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T17:42:26.139735Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation d9b41403-88f6-40e0-a716-a81eb1a54894 · outbound
This paper cites Dang and F.
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T17:42:26.124221Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 08ef6e0a-1f67-4ee7-8892-6639be2d32b1 · outbound
This paper cites De Ryck, F.
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T17:42:26.108517Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 47b530e5-4eec-44b8-a382-da8edb91a946 · outbound
This paper cites De Ryck and S.
Approximation Theory and Applications of Randomized Neural Networks for Solving High-Dimensional PDEs De Ryck and S
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T17:42:26.093501Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 0f05e10e-7800-4495-9700-88d02bb962eb · outbound
This paper cites De Ryck and S.
Approximation Theory and Applications of Randomized Neural Networks for Solving High-Dimensional PDEs De Ryck and S
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T17:42:26.079117Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 95a48a14-fa6d-4667-8658-f063b86a05f8 · outbound
This paper cites Dong and Z.
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T17:42:26.064152Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 02828d96-8519-4585-bd80-def042aac5dc · outbound
This paper cites Dwivedi and B.
Approximation Theory and Applications of Randomized Neural Networks for Solving High-Dimensional PDEs Dwivedi and B
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T17:42:26.048933Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation f8e3ff9b-a152-44e8-b574-4a93221c9243 · outbound
This paper cites an unresolved cited work.
Approximation Theory and Applications of Randomized Neural Networks for Solving High-Dimensional PDEs Unresolved cited work
Reference 9
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T17:42:26.032874Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation ac06b245-f956-4eb7-a4b7-3f2fc1fe7cd9 · outbound
This paper cites Gallicchio and S.
Approximation Theory and Applications of Randomized Neural Networks for Solving High-Dimensional PDEs Gallicchio and S
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T17:42:26.015783Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 5d514c12-5c4c-4011-b08f-94ee3c09cdb9 · outbound
This paper cites an unresolved cited work.
Approximation Theory and Applications of Randomized Neural Networks for Solving High-Dimensional PDEs Unresolved cited work
Reference 11
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T17:42:25.999572Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 54ab82f9-1cda-4f6c-b0b7-396d4b9a4c8a · outbound
This paper cites Gonon, L.
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T17:42:25.983875Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation c1dfb51e-a409-4ad3-a3e0-dcbcd26e396b · outbound
This paper cites Grohs, F.
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T17:42:25.968252Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 4515af45-9ee2-47b2-ac80-c17cf9729857 · outbound
This paper cites Huang, Q.-Y.
Approximation Theory and Applications of Randomized Neural Networks for Solving High-Dimensional PDEs Huang, Q.-Y
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T17:42:25.952156Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation f1955c90-fd26-47aa-9fc9-bdd2c457dd75 · outbound
This paper cites Huang, Q.-Y.
Approximation Theory and Applications of Randomized Neural Networks for Solving High-Dimensional PDEs Huang, Q.-Y
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T17:42:25.935361Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 390f0733-183f-4b51-898b-86c2a2c6c22f · outbound
This paper cites Hutzenthaler, A.
Approximation Theory and Applications of Randomized Neural Networks for Solving High-Dimensional PDEs Hutzenthaler, A
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T17:42:25.920177Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation d6741d27-f1bd-4a9a-8634-c63b54788d18 · outbound
This paper cites A proof that deep artificial neural networks overcome the curse of dimensionality in the numerical approximation of Kolmogorov partial differential equations with constant diffusion and nonlinear drift coefficients.
Approximation Theory and Applications of Randomized Neural Networks for Solving High-Dimensional PDEs A proof that deep artificial neural networks overcome the curse of dimensionality in the numerical approximation of Kolmogorov partial differential equations with constant diffusion and nonlinear drift coefficients
Reference 17
- Resolution
- verified exact
- local_arxiv, observed 2026-08-10T17:42:25.496559Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation f5b223c9-85c4-4ecf-a3dd-d65db6382640 · outbound
This paper cites Krishnapriyan, A.
Approximation Theory and Applications of Randomized Neural Networks for Solving High-Dimensional PDEs Krishnapriyan, A
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T17:42:25.905067Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 74a49810-d0e2-4882-8d67-38bc23aa6b66 · outbound
This paper cites Kutyniok, P.
Approximation Theory and Applications of Randomized Neural Networks for Solving High-Dimensional PDEs Kutyniok, P
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T17:42:25.888935Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 89f5dd6b-ac3e-4227-8a9b-cfab7dcbf922 · outbound
This paper cites an unresolved cited work.
Approximation Theory and Applications of Randomized Neural Networks for Solving High-Dimensional PDEs Unresolved cited work
Reference 20
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T17:42:25.872297Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 5bd73a21-0ce1-4ace-a9e3-6caec87be136 · outbound
This paper cites an unresolved cited work.
Approximation Theory and Applications of Randomized Neural Networks for Solving High-Dimensional PDEs Unresolved cited work
Reference 21
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T17:42:25.853780Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 35c6a896-9706-4b06-bff9-1fcb52c6dc2c · outbound
This paper cites an unresolved cited work.
Approximation Theory and Applications of Randomized Neural Networks for Solving High-Dimensional PDEs Unresolved cited work
Reference 22
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T17:42:25.837535Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation e55d7f65-235d-4c90-8df2-cb890a3c6cb8 · outbound
This paper cites an unresolved cited work.
Approximation Theory and Applications of Randomized Neural Networks for Solving High-Dimensional PDEs Unresolved cited work
Reference 23
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T17:42:25.821903Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 4e0e26eb-37af-449c-93de-992eef5c8591 · outbound
This paper cites Mishra and R.
Approximation Theory and Applications of Randomized Neural Networks for Solving High-Dimensional PDEs Mishra and R
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T17:42:25.804406Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation b6d5ad96-3077-485c-b7c2-ac3773d5ca4f · outbound
This paper cites Mishra and R.
Approximation Theory and Applications of Randomized Neural Networks for Solving High-Dimensional PDEs Mishra and R
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T17:42:25.788378Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 9e06eba8-ab99-4d9f-8681-a76d627efd3c · outbound
This paper cites Mishra and R.
Approximation Theory and Applications of Randomized Neural Networks for Solving High-Dimensional PDEs Mishra and R
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T17:42:25.773017Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 8ce3787c-dfca-421d-a298-6261d571a8cb · outbound
This paper cites an unresolved cited work.
Approximation Theory and Applications of Randomized Neural Networks for Solving High-Dimensional PDEs Unresolved cited work
Reference 27
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T17:42:25.756406Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 668da11a-730e-44d0-bac7-a00f6b5e375b · outbound
This paper cites Pao and Y.
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T17:42:25.740226Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 6fbef876-4157-41ae-9cd2-2b7e1b2cc3ae · outbound
This paper cites Rahimi and B.
Approximation Theory and Applications of Randomized Neural Networks for Solving High-Dimensional PDEs Rahimi and B
Reference 29
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T17:42:25.367617Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7e3387dc-bd4b-402f-bb6a-a3aa715054ba · outbound
This paper cites Rahimi and B.
Approximation Theory and Applications of Randomized Neural Networks for Solving High-Dimensional PDEs Rahimi and B
Reference 30
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T17:42:25.713306Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 8716eab1-181a-4683-86f0-3279b1714eea · outbound
This paper cites Rahimi and B.
Approximation Theory and Applications of Randomized Neural Networks for Solving High-Dimensional PDEs Rahimi and B
Reference 31
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T17:42:25.696865Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 77428e3b-0718-4992-86df-9ea248213814 · outbound
This paper cites Raissi and G.
Approximation Theory and Applications of Randomized Neural Networks for Solving High-Dimensional PDEs Raissi and G
Reference 32
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T17:42:25.680645Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 09d12f5f-064f-48ac-95f1-33f34cd0878d · outbound
This paper cites Raissi, P.
Reference 33
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T17:42:25.664819Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation e49a5a70-7c58-4493-b11a-cead07afdb91 · outbound
This paper cites Schiassi, R.
Approximation Theory and Applications of Randomized Neural Networks for Solving High-Dimensional PDEs Schiassi, R
Reference 34
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T17:42:25.648603Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation bf159719-a594-4a71-b1ee-c9acd2459a68 · outbound
This paper cites Schwab and J.
Approximation Theory and Applications of Randomized Neural Networks for Solving High-Dimensional PDEs Schwab and J
Reference 35
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T17:42:25.631287Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 62d83ef8-0be5-4539-956d-f39a84ed70c4 · outbound
This paper cites Shang and F.
Approximation Theory and Applications of Randomized Neural Networks for Solving High-Dimensional PDEs Shang and F
Reference 36
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T17:42:25.614503Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 0825db3b-d3b5-4033-bcda-c55050dbacd8 · outbound
This paper cites Shang, F.
Reference 37
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T17:42:25.597516Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 9f7d010a-db7c-471c-9065-437582248250 · outbound
This paper cites an unresolved cited work.
Approximation Theory and Applications of Randomized Neural Networks for Solving High-Dimensional PDEs Unresolved cited work
Reference 38
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T17:42:25.580186Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 3f5149e2-e05e-4c55-b35d-da008fe701c3 · outbound
This paper cites Sun and F.
Reference 39
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T17:42:25.563341Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 1fc8a788-d0fd-4ee6-89c3-175cb6a118b0 · outbound
This paper cites On the Approximation Properties of Random ReLU Features.
Approximation Theory and Applications of Randomized Neural Networks for Solving High-Dimensional PDEs On the Approximation Properties of Random ReLU Features
Reference 40
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T17:42:25.416049Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 071e2b2c-7593-40ac-b50b-2d5dc1348116 · outbound
This paper cites an unresolved cited work.
Approximation Theory and Applications of Randomized Neural Networks for Solving High-Dimensional PDEs Unresolved cited work
Reference 41
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T17:42:25.547055Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 26263524-40c0-4ded-bf78-ef5015d71407 · outbound
This paper cites W ang, Y.
Reference 42
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T17:42:25.530232Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 9a460485-1dac-40b0-9fc8-a2f8812ed92b · outbound
This paper cites W ang, X.
Reference 43
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T17:42:25.513434Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Pith citing papers
Observation 57db4a6d-468c-46d5-a697-9064e8c9d34a · inbound
Solving Inverse Parametrized Problems via Finite Elements and Extreme Learning Networks cites this paper.
Solving Inverse Parametrized Problems via Finite Elements and Extreme Learning Networks Approximation Theory and Applications of Randomized Neural Networks for Solving High-Dimensional PDEs
Reference 46
- Resolution
- verified exact
- arxiv_id, observed 2026-05-15T22:00:20.914236Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 48baf74c-d7d5-49d9-840d-be67d4884a69 · inbound
Adaptive Randomized Neural Networks with Locally Activation Function: Theory and Algorithm for Solving PDEs cites this paper.
Adaptive Randomized Neural Networks with Locally Activation Function: Theory and Algorithm for Solving PDEs Approximation Theory and Applications of Randomized Neural Networks for Solving High-Dimensional PDEs
Reference 8
- Resolution
- verified exact
- arxiv_id, observed 2026-05-11T05:41:00.025731Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 618fdfd8-46d5-4822-84b6-df4047fa5f5a · inbound
Adaptive-Distribution Randomized Neural Networks for PDEs: A Low-Dimensional Distribution-Learning Framework cites this paper.
Adaptive-Distribution Randomized Neural Networks for PDEs: A Low-Dimensional Distribution-Learning Framework Approximation Theory and Applications of Randomized Neural Networks for Solving High-Dimensional PDEs
Reference 6
- Resolution
- verified exact
- arxiv_id, observed 2026-05-11T22:46:12.830381Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation c25b7f7f-5a97-4980-b6c5-817f56b8db33 · inbound
Random Neural Network Expressivity for Non-Linear Partial Differential Equations cites this paper.
Random Neural Network Expressivity for Non-Linear Partial Differential Equations Approximation Theory and Applications of Randomized Neural Networks for Solving High-Dimensional PDEs
Reference 21
- Resolution
- verified exact
- arxiv_id, observed 2026-06-30T00:04:06.958946Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation af4c5f9f-ed55-4b62-b7be-5738facac502 · inbound
Learning universal approximations for partial differential equations with Physics-Informed Broad Learning System cites this paper.
Learning universal approximations for partial differential equations with Physics-Informed Broad Learning System Approximation Theory and Applications of Randomized Neural Networks for Solving High-Dimensional PDEs
Reference 46
- Resolution
- verified exact
- arxiv_id, observed 2026-07-04T03:09:29.312582Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.