Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T05:26:44.755490Z
Paper Citation Record · LEDGER
As of 15 August 2026, this Paper Citation Record lists 100 of 104 outbound references and 4 inbound Pith citation observations for arXiv:2506.07958.
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 2026-08-07T05:26:44.755490Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-04T14:50:24.712474Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-07-04T08:19:44.121977Z
100 of 104 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 85cadd0b-0035-4907-bd08-c8ffe4d7aa83 · outbound
Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Unresolved cited work
Reference 1
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7f343c6a-6c5a-4c4c-8593-be27a0e6d879 · outbound
Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Unresolved cited work
Reference 2
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2766566c-75b1-41a9-b586-6a4c7a8255fa · outbound
Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Unresolved cited work
Reference 3
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Observation 31e01d1c-5db6-460e-8f17-3804675b9e1c · outbound
Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Unresolved cited work
Reference 4
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Observation f21c5248-5d53-4dc0-923e-b3e4d189f3e6 · outbound
Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Unresolved cited work
Reference 5
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Unavailable: canonical work link unavailable.
Observation 66e39a69-3b29-49c2-b79e-b48839d12df3 · outbound
Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Unresolved cited work
Reference 6
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Observation c2c8c230-0c1d-44ac-8786-15386911c6de · outbound
Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Unresolved cited work
Reference 7
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Unavailable: canonical work link unavailable.
Observation 80bae486-697b-413c-8e5b-ecc6dd29cdf3 · outbound
Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Unresolved cited work
Reference 8
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Unavailable: canonical work link unavailable.
Observation e244fa80-0aa0-408b-8afa-8b1ee1817b46 · outbound
Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Unresolved cited work
Reference 9
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Observation e1252665-3eed-4cb2-a0eb-2acae87b78f8 · outbound
Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Unresolved cited work
Reference 10
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Observation b52af931-3d47-4320-abda-08594b7662e4 · outbound
Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Unresolved cited work
Reference 11
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Observation 61f65e79-a03d-4211-8341-09e3034fbe05 · outbound
Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Heinlein, A
Reference 12
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Observation 0339bfc8-9ff8-476a-bcca-1ad8688f79d6 · outbound
Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Unresolved cited work
Reference 13
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Observation c3d6b84d-1f9f-4e19-bb0d-5604df59924f · outbound
Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Unresolved cited work
Reference 14
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Observation d6ac931d-c9f1-45ef-8231-9fa389459dca · outbound
Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Unresolved cited work
Reference 15
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Observation 476edb08-d5b7-4cbd-9f75-46f9c0d5a194 · outbound
Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Unresolved cited work
Reference 16
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Unavailable: canonical work link unavailable.
Observation c0c72e72-65ce-47e1-bc58-725768cd635e · outbound
Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Unresolved cited work
Reference 17
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Observation 11fa6a8a-005a-40b4-a01b-94ba9953ee46 · outbound
Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Unresolved cited work
Reference 18
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Observation ffd7b4c5-bb9b-4d87-afa9-2d3f33e93ca5 · outbound
Reference 19
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Observation fb8ba24c-9b82-468f-ad60-79b98fee77c0 · outbound
Reference 20
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Observation da63f662-27eb-4d32-b6c9-99f1644c676e · outbound
Reference 21
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Observation a12e5590-a572-416d-a8ba-40d8f10d340b · outbound
Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Unresolved cited work
Reference 22
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Observation ada93c7b-e2a6-4eba-a9a8-96c0b1382377 · outbound
Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Mostajeran, R
Reference 23
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Unavailable: canonical work link unavailable.
Observation a78f00b5-0364-4202-acaf-659daf8d4a93 · outbound
Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Hanrahan, M
Reference 24
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Observation d4c2ed5b-a46a-47d6-915f-7f79282a3c97 · outbound
Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Unresolved cited work
Reference 25
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Observation b40008b4-285a-4dd2-9b57-6cff166451fd · outbound
Reference 26
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Observation a1e42601-b040-4d24-a2a7-11057eac328d · outbound
Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Gafoor CTP, S
Reference 27
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Observation 1fc75b48-dd50-44ec-8992-e162f00d14f9 · outbound
Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Mahmoudabadbozchelou, G
Reference 28
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Observation 46fa7999-f6b0-4379-9449-97c355505d35 · outbound
Reference 29
Source-reported events for the cited work
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Observation 005b6b4b-1a57-47c4-85c6-bb534dbca3eb · outbound
Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Unresolved cited work
Reference 30
Source-reported events for the cited work
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Observation a3043ad6-ca69-4c57-9af3-24f792b4841d · outbound
Reference 31
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Observation a238c6f5-9d36-418f-897d-2d92b40fe724 · outbound
Reference 32
Source-reported events for the cited work
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Observation 53d1325e-b26c-4d47-9931-a4936f3fdc40 · outbound
Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Rasht-Behesht, C
Reference 33
Source-reported events for the cited work
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Observation 4adbaf27-b797-47ec-9a9a-158e15935973 · outbound
Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Unresolved cited work
Reference 34
Source-reported events for the cited work
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Observation 5589e2c5-ccaa-4119-b77b-e6d0bf7d3f9a · outbound
Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Unresolved cited work
Reference 35
Source-reported events for the cited work
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Observation ed424c6f-1caa-4c26-b6fe-88d71c871f30 · outbound
Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Unresolved cited work
Reference 36
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Unavailable: canonical work link unavailable.
Observation b0c3adaf-44eb-4fab-a3f2-848c79115ebc · outbound
Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Unresolved cited work
Reference 37
Source-reported events for the cited work
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Observation 99e2ba46-95f6-46d8-bbde-5c29dec18b49 · outbound
Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Unresolved cited work
Reference 38
Source-reported events for the cited work
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Observation 2b263d8e-6a3e-439b-8c98-d479b75215f4 · outbound
Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Unresolved cited work
Reference 39
Source-reported events for the cited work
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Observation 34a0febd-bbcc-4b05-aee2-ece3a4af25dc · outbound
Reference 40
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1293ebbd-0f1d-47b1-b254-44c8c6fd3520 · outbound
Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Krishnapriyan, A
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 2611026c-dff2-41de-8a1a-ecbe8d3469d8 · outbound
Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Unresolved cited work
Reference 42
Source-reported events for the cited work
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Observation b0a95646-6a7f-401b-88e5-057eb5fc5989 · outbound
Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Unresolved cited work
Reference 43
Source-reported events for the cited work
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Observation 26bdec3a-1e32-48a3-a1ab-931d5d42ceed · outbound
Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Unresolved cited work
Reference 44
Source-reported events for the cited work
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Observation a056a565-5792-4060-b33a-053e11b278dc · outbound
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation e8bc0c52-5ff9-4fe5-ae30-3b1314339368 · outbound
Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Unresolved cited work
Reference 46
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a8a73d72-7cbf-446a-8362-8f5e32647e40 · outbound
Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Unresolved cited work
Reference 47
Source-reported events for the cited work
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Observation 24ea047f-1839-4ac4-8495-54796a41953b · outbound
Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Arnold, On the representation of functions of several variables by superpositions of functions of fewer variables, Mat
Reference 48
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 10d7c5fa-9301-435d-b657-d323072fcc51 · outbound
Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs KAN: Kolmogorov-Arnold Networks
Reference 49
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 91974b0c-7788-4676-b8e3-d056b9031a9f · outbound
Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Unresolved cited work
Reference 50
Source-reported events for the cited work
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Observation 64dc58be-c785-4599-81ad-fb27f90d2ef1 · outbound
Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Unresolved cited work
Reference 51
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 4cc2fca8-0f2e-46ca-aa38-ae6ab8c55d0a · outbound
Reference 52
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation d8664069-af23-4731-a8a2-56d6d6df7d13 · outbound
Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs EPi-cKANs: Elasto-Plasticity Informed Kolmogorov-Arnold Networks Using Chebyshev Polynomials
Reference 53
Source-reported events for the cited work
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Observation 661b85ea-6de3-482c-a4f6-76fde5dbefc6 · outbound
Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Mostajeran, S
Reference 54
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation feeb1fc0-3431-4b76-8c39-7f459f71990e · outbound
Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Chebyshev Polynomial-Based Kolmogorov-Arnold Networks: An Efficient Architecture for Nonlinear Function Approximation
Reference 55
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0436deb7-4691-43ff-80fd-97411a427527 · outbound
Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Physics-informed Kolmogorov-Arnold Network with Chebyshev Polynomials for Fluid Mechanics
Reference 56
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8cb8933d-374f-4474-847c-8a55e7bd468f · outbound
Reference 57
Source-reported events for the cited work
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Observation 2a054a39-7fab-466e-b6eb-9c089147b4a8 · outbound
Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Unresolved cited work
Reference 58
Source-reported events for the cited work
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Observation 2f362c9e-6073-4ed6-bc42-1f9a9f203b1f · outbound
Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Seleznova, G
Reference 59
Source-reported events for the cited work
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Observation 918d457f-42f3-4574-8466-48f3a8a70dd2 · outbound
Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Unresolved cited work
Reference 60
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 743bd60e-054c-4c31-9cb5-99497c487faa · outbound
Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Neural tangent kernel analysis of PINN for advection-diffusion equation
Reference 61
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b1f019da-6240-4069-bc9a-81a85a421d37 · outbound
Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Arnold, On the representation of continuous functions of three variables by superpositions of contin- uous functions of two variables, Math
Reference 62
Source-reported events for the cited work
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Observation ae004d13-b339-4fd9-b422-0a37756730b8 · outbound
Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Unresolved cited work
Reference 63
Source-reported events for the cited work
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Observation e8251fba-259c-4ab1-89e2-40ac698f42fa · outbound
Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Lorentz, Approximation of functions.-holt, rinehart and wilson, Inc., New York (1966)
Reference 64
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 5f5a458d-ac95-46cb-b373-8439bae00921 · outbound
Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Unresolved cited work
Reference 65
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation fb3e3102-38a0-495d-a0bc-8a9ee30cd9ab · outbound
Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Unresolved cited work
Reference 66
Source-reported events for the cited work
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Observation 4df3c07a-3e5d-4a74-b668-ca3c6524d785 · outbound
Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Unresolved cited work
Reference 67
Source-reported events for the cited work
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Observation 31deb71d-6d48-49c9-b6b9-2a1aa50b91ef · outbound
Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Unresolved cited work
Reference 68
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 22aa6903-8479-4ac0-b1ff-5700252ad3dd · outbound
Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Hecht-Nielsen, Kolmogorov’s mapping neural network existence theorem, in: Proceedings of the international conference on Neural Networks, Vol
Reference 69
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 67ee9976-d69d-45c3-bd6c-2fe801392a63 · outbound
Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Kůrková, Kolmogorov’s theorem is relevant, Neural computation 3 (4) (1991) 617–622
Reference 70
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 5a39165a-e3ba-4766-b8a3-aefad5c1b443 · outbound
Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Kůrková, Kolmogorov’s theorem and multilayer neural networks, Neural networks 5 (3) (1992) 501– 506
Reference 71
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 99d496dc-db01-43cc-ada2-9d366acd065a · outbound
Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Unresolved cited work
Reference 72
Source-reported events for the cited work
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Observation 226d8ae6-3f6b-4c87-989b-9038a4a2b48f · outbound
Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Unresolved cited work
Reference 73
Source-reported events for the cited work
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Observation 9092f300-6458-40c1-af91-e2e8d5324d6c · outbound
Reference 74
Source-reported events for the cited work
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Observation ee75e5a3-9d01-4763-b7cb-340560c42775 · outbound
Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Cybenko, Approximation by superpositions of a sigmoidal function, Mathematics of control, signals and systems 2 (4) (1989) 303–314
Reference 75
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 203db174-346c-4f2e-9903-0128072efc0d · outbound
Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Hornik, Approximation capabilities of multilayer feedforward networks, Neural networks 4 (2) (1991) 251–257
Reference 76
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 6572277b-942f-49ce-976d-cb256bac031c · outbound
Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Unresolved cited work
Reference 77
Source-reported events for the cited work
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Observation ca8aeef7-7b93-49a3-a2f9-244f89981c2e · outbound
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Reference 90
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Reference 95
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Reference 261
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