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Paper Citation Record · LEDGER

KKANs: Kurkova-Kolmogorov-Arnold Networks and Their Learning Dynamics

As of 21 August 2026, this Paper Citation Record lists 100 of 153 outbound references and 2 inbound Pith citation observations for arXiv:2412.16738.

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

pith.paper-citation-record.v1
2412.16738 v1

Coverage vector

measured 100 of 153 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T10:23:14.396971Z

measured 102 of 102 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T22:48:54.703419Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-10T22:09:10.771995Z

Reference resolution

100 of 153 outbound references displayed

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  • verified fuzzy0
  • unresolved99
  • parse uncertain0
  • malformed identifier0
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External citation measurements

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Outbound references

Observation a0718bc2-821e-42bb-a601-ed652b2861c5 · outbound

This paper cites From PINNs to PIKANs: Recent Advances in Physics-Informed Machine Learning.

KKANs: Kurkova-Kolmogorov-Arnold Networks and Their Learning Dynamics From PINNs to PIKANs: Recent Advances in Physics-Informed Machine Learning

Reference 1

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source=pdf_text observed=2026-08-11T10:23:13.905917Z digest=sha256:c2a6ff597a2b15ef902f55041b2a423fed9def1a5bc8e42995656d3ebd72e9ba

Observation b80edfa8-afe9-4acb-b2c7-1e85dcc19997 · outbound

This paper cites Raissi, H.

KKANs: Kurkova-Kolmogorov-Arnold Networks and Their Learning Dynamics Raissi, H

Reference 2

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Observation 77bc8b83-7305-4bee-8be7-790b395412b6 · outbound

This paper cites DeepONet: Learning nonlinear operators for identifying differential equations based on the universal approximation theorem of operators.

KKANs: Kurkova-Kolmogorov-Arnold Networks and Their Learning Dynamics DeepONet: Learning nonlinear operators for identifying differential equations based on the universal approximation theorem of operators

Reference 3

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Observation 6e040b03-c04e-4417-8bce-a9649d088a22 · outbound

This paper cites Raissi, A.

KKANs: Kurkova-Kolmogorov-Arnold Networks and Their Learning Dynamics Raissi, A

Reference 4

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Observation 723b4f84-a75b-4b48-9a93-6fcac9a37f4d · outbound

This paper cites an unresolved cited work.

KKANs: Kurkova-Kolmogorov-Arnold Networks and Their Learning Dynamics Unresolved cited work

Reference 5

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source=pdf_text observed=2026-08-11T10:23:13.927433Z digest=sha256:73b6833fe74ce6a3ada69b82d2ac9a24130b7df6630ff940735006583a011d95

Observation a230f0f2-1b04-4444-8616-eb4978536214 · outbound

This paper cites an unresolved cited work.

KKANs: Kurkova-Kolmogorov-Arnold Networks and Their Learning Dynamics Unresolved cited work

Reference 6

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source=pdf_text observed=2026-08-11T10:23:13.932517Z digest=sha256:2e02bfd696f392f4f3fda754c33ba3b17e8ad9cc35430e2fce5ec57009ed0e25

Observation db32a63c-60c2-4f5e-bb72-b864c1e733d2 · outbound

This paper cites Inferring turbulent velocity and temperature fields and their statistics from Lagrangian velocity measurements using physics-informed Kolmogorov-Arnold Networks.

KKANs: Kurkova-Kolmogorov-Arnold Networks and Their Learning Dynamics Inferring turbulent velocity and temperature fields and their statistics from Lagrangian velocity measurements using physics-informed Kolmogorov-Arnold Networks

Reference 7

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Observation 86bbbfd0-aacd-4261-8d55-714d5fae0374 · outbound

This paper cites an unresolved cited work.

KKANs: Kurkova-Kolmogorov-Arnold Networks and Their Learning Dynamics Unresolved cited work

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Observation e17a93d0-813d-4802-81dd-46a64ce51724 · outbound

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KKANs: Kurkova-Kolmogorov-Arnold Networks and Their Learning Dynamics Unresolved cited work

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Observation b230b17b-c019-453d-91c2-6fbdd5121f91 · outbound

This paper cites Goodfellow, J.

KKANs: Kurkova-Kolmogorov-Arnold Networks and Their Learning Dynamics Goodfellow, J

Reference 10

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Observation f92db752-7da9-4aa7-9946-a9bb5d34dbd1 · outbound

This paper cites Vaswani, N.

KKANs: Kurkova-Kolmogorov-Arnold Networks and Their Learning Dynamics Vaswani, N

Reference 11

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Observation a4fff266-830a-4e1c-af74-2787a7e2d5c0 · outbound

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KKANs: Kurkova-Kolmogorov-Arnold Networks and Their Learning Dynamics Unresolved cited work

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Observation 2e840eeb-c4dd-4f55-a051-dfd433de1b93 · outbound

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KKANs: Kurkova-Kolmogorov-Arnold Networks and Their Learning Dynamics Unresolved cited work

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Observation cbd19912-bd51-48a3-9615-82b7d0467de0 · outbound

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KKANs: Kurkova-Kolmogorov-Arnold Networks and Their Learning Dynamics Unresolved cited work

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Observation 0069d8ea-4452-4857-ad19-12cf0d7fe93c · outbound

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KKANs: Kurkova-Kolmogorov-Arnold Networks and Their Learning Dynamics Unresolved cited work

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Observation a1487ebb-0a99-4ba3-8102-fa41a1bdc86c · outbound

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KKANs: Kurkova-Kolmogorov-Arnold Networks and Their Learning Dynamics Unresolved cited work

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Observation 2e8a68da-a753-4ec0-8983-cf0d13db1079 · outbound

This paper cites Interpretable Machine Learning for Science with PySR and SymbolicRegression.jl.

KKANs: Kurkova-Kolmogorov-Arnold Networks and Their Learning Dynamics Interpretable Machine Learning for Science with PySR and SymbolicRegression.jl

Reference 17

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Observation 60677761-65d5-43b1-8196-d75d22d53cd2 · outbound

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KKANs: Kurkova-Kolmogorov-Arnold Networks and Their Learning Dynamics Unresolved cited work

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Observation 93e61ada-88c0-44da-9825-6ea975a508f3 · outbound

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KKANs: Kurkova-Kolmogorov-Arnold Networks and Their Learning Dynamics Unresolved cited work

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Observation eb7ac560-f2fb-4f0e-910b-c6c94a45dc57 · outbound

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KKANs: Kurkova-Kolmogorov-Arnold Networks and Their Learning Dynamics Unresolved cited work

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Observation 47606e56-3d7d-4b79-bfd5-aa73d3842d2c · outbound

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KKANs: Kurkova-Kolmogorov-Arnold Networks and Their Learning Dynamics Unresolved cited work

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Observation 51704661-596f-481e-824f-2bfb28e14630 · outbound

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KKANs: Kurkova-Kolmogorov-Arnold Networks and Their Learning Dynamics Unresolved cited work

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Observation 34c523bd-a0b7-49de-b3d5-ec3928b43dc1 · outbound

This paper cites KAN: Kolmogorov-Arnold Networks.

KKANs: Kurkova-Kolmogorov-Arnold Networks and Their Learning Dynamics KAN: Kolmogorov-Arnold Networks

Reference 23

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source=pdf_text observed=2026-08-11T10:23:14.018830Z digest=sha256:b29fe8c671627d183157ae40de4aadb1aac6fcef91f95ba85b7e47b031e5c04d

Observation 222b64f6-6686-432d-9c74-509f671c8bd7 · outbound

This paper cites KAN 2.0: Kolmogorov-Arnold Networks Meet Science.

KKANs: Kurkova-Kolmogorov-Arnold Networks and Their Learning Dynamics KAN 2.0: Kolmogorov-Arnold Networks Meet Science

Reference 24

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Observation 9b84f764-c8ed-4b32-a9e3-de33869839bb · outbound

This paper cites On the expressiveness and spectral bias of KANs.

KKANs: Kurkova-Kolmogorov-Arnold Networks and Their Learning Dynamics On the expressiveness and spectral bias of KANs

Reference 25

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Observation 6c38ae3e-fd41-4643-95a0-6627dad015c7 · outbound

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KKANs: Kurkova-Kolmogorov-Arnold Networks and Their Learning Dynamics Unresolved cited work

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Observation a345b0ae-0164-4df2-914a-4f482f0bf985 · outbound

This paper cites Smooth Kolmogorov Arnold networks enabling structural knowledge representation.

KKANs: Kurkova-Kolmogorov-Arnold Networks and Their Learning Dynamics Smooth Kolmogorov Arnold networks enabling structural knowledge representation

Reference 27

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Observation 8a0b3d0e-6b7c-4341-9626-0861c8e57114 · outbound

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KKANs: Kurkova-Kolmogorov-Arnold Networks and Their Learning Dynamics Unresolved cited work

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Observation 13085d0c-e523-4344-ab55-4d31aaf0afd2 · outbound

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KKANs: Kurkova-Kolmogorov-Arnold Networks and Their Learning Dynamics Unresolved cited work

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Observation bd2268c6-72f4-40c1-8a22-27380d94191c · outbound

This paper cites Schmidhuber, Discovering neural nets with low Kolmogorov complexity and high generalization capability, Neural Networks 10 (5) (1997) 857–873.

KKANs: Kurkova-Kolmogorov-Arnold Networks and Their Learning Dynamics Schmidhuber, Discovering neural nets with low Kolmogorov complexity and high generalization capability, Neural Networks 10 (5) (1997) 857–873

Reference 30

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Observation e27f4284-228f-4102-95be-355bc7fb5331 · outbound

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KKANs: Kurkova-Kolmogorov-Arnold Networks and Their Learning Dynamics Unresolved cited work

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Observation 142ca556-257f-4dce-9e11-efeaa1367834 · outbound

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KKANs: Kurkova-Kolmogorov-Arnold Networks and Their Learning Dynamics Unresolved cited work

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source=pdf_text observed=2026-08-11T10:23:14.059897Z digest=sha256:f7289704310ac5aa9eebe5bdc2903c484fdf83a7f74302979cac0bb3875bf702

Observation 4971af1d-c6ad-4354-9776-f6f1cf549fae · outbound

This paper cites On the Optimal Expressive Power of ReLU DNNs and Its Application in Approximation with Kolmogorov Superposition Theorem.

KKANs: Kurkova-Kolmogorov-Arnold Networks and Their Learning Dynamics On the Optimal Expressive Power of ReLU DNNs and Its Application in Approximation with Kolmogorov Superposition Theorem

Reference 33

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Observation e30c932f-fe7b-46d3-822e-09e4b58a93f4 · outbound

This paper cites A Survey on Kolmogorov-Arnold Network.

KKANs: Kurkova-Kolmogorov-Arnold Networks and Their Learning Dynamics A Survey on Kolmogorov-Arnold Network

Reference 34

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Observation e78cbb6f-d66a-4591-a8b2-25965fa0d137 · outbound

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KKANs: Kurkova-Kolmogorov-Arnold Networks and Their Learning Dynamics Unresolved cited work

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source=pdf_text observed=2026-08-11T10:23:14.075542Z digest=sha256:53fb2bcec17daf9eaffbef18995b300c2c900d48c3a406ba3acd5e6fa43ff604

Observation 038a53fc-31d6-4e86-bfd7-c461cbec70ba · outbound

This paper cites Kolmogorov-Arnold Networks are Radial Basis Function Networks.

KKANs: Kurkova-Kolmogorov-Arnold Networks and Their Learning Dynamics Kolmogorov-Arnold Networks are Radial Basis Function Networks

Reference 36

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Observation 7053c454-f30a-44a4-a212-a7fe7a7c770b · outbound

This paper cites Wav-KAN: Wavelet Kolmogorov-Arnold Networks.

KKANs: Kurkova-Kolmogorov-Arnold Networks and Their Learning Dynamics Wav-KAN: Wavelet Kolmogorov-Arnold Networks

Reference 37

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Observation 3f3bdc52-1f99-4970-a1d7-b404589cacfe · outbound

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KKANs: Kurkova-Kolmogorov-Arnold Networks and Their Learning Dynamics Unresolved cited work

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source=pdf_text observed=2026-08-11T10:23:14.090657Z digest=sha256:2369b3305fb041ca723008501182994b1997e3f16e6604ce0e85ca1642243b61

Observation 534b0927-c414-4438-92da-d38d866f0f99 · outbound

This paper cites Chebyshev Polynomial-Based Kolmogorov-Arnold Networks: An Efficient Architecture for Nonlinear Function Approximation.

KKANs: Kurkova-Kolmogorov-Arnold Networks and Their Learning Dynamics Chebyshev Polynomial-Based Kolmogorov-Arnold Networks: An Efficient Architecture for Nonlinear Function Approximation

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Observation dd9685d3-1b98-43e0-bd7d-37e12bae0307 · outbound

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KKANs: Kurkova-Kolmogorov-Arnold Networks and Their Learning Dynamics Unresolved cited work

Reference 40

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Observation 6b67d225-c51d-413c-b88f-ed312bfced77 · outbound

This paper cites Shukla, J.

KKANs: Kurkova-Kolmogorov-Arnold Networks and Their Learning Dynamics Shukla, J

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Observation 363e6eed-a922-4cba-8c50-30aa62d30544 · outbound

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KKANs: Kurkova-Kolmogorov-Arnold Networks and Their Learning Dynamics Unresolved cited work

Reference 42

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Observation b5052379-da68-431f-9769-ae20aa219e25 · outbound

This paper cites DeepOKAN: Deep Operator Network Based on Kolmogorov Arnold Networks for Mechanics Problems.

KKANs: Kurkova-Kolmogorov-Arnold Networks and Their Learning Dynamics DeepOKAN: Deep Operator Network Based on Kolmogorov Arnold Networks for Mechanics Problems

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source=pdf_text observed=2026-08-11T10:23:14.112907Z digest=sha256:0727d7cbfb9f2511eda2f0fb714d18011208ed0cba304364831fb2b11b94a97a

Observation 66c9f1d9-8d0f-42d1-97d9-5608df143298 · outbound

This paper cites Zhang, T.

KKANs: Kurkova-Kolmogorov-Arnold Networks and Their Learning Dynamics Zhang, T

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source=pdf_text observed=2026-08-11T10:23:14.117382Z digest=sha256:e3d0b78647b8e842c39b026d9afd451c6d5f9157bbb1ede0a41882d4880974a3

Observation e75b75c7-24c9-4d23-af2a-8ec7cf341670 · outbound

This paper cites SPIKANs: Separable Physics-Informed Kolmogorov-Arnold Networks.

KKANs: Kurkova-Kolmogorov-Arnold Networks and Their Learning Dynamics SPIKANs: Separable Physics-Informed Kolmogorov-Arnold Networks

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source=pdf_text observed=2026-08-11T10:23:14.121631Z digest=sha256:82a91a181553a7245a807b7337c88b7b2f109b6ffe686c235312f2b1622fe654

Observation b3937f8f-ef1e-492a-b537-2d3957c041d7 · outbound

This paper cites Multifidelity Kolmogorov-Arnold Networks.

KKANs: Kurkova-Kolmogorov-Arnold Networks and Their Learning Dynamics Multifidelity Kolmogorov-Arnold Networks

Reference 46

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Observation 08d8028b-9cf4-4f82-ae39-660678651121 · outbound

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KKANs: Kurkova-Kolmogorov-Arnold Networks and Their Learning Dynamics Unresolved cited work

Reference 47

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Observation d219624f-f634-4e5e-bf25-a0e4e666ef85 · outbound

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KKANs: Kurkova-Kolmogorov-Arnold Networks and Their Learning Dynamics Unresolved cited work

Reference 48

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source=pdf_text observed=2026-08-11T10:23:14.135347Z digest=sha256:2adc2dc0fc0be49ba1fb4e244c476441ee792345376813765509f00b301706e9

Observation 9b968fb7-ac7a-445d-9508-a5051d24b620 · outbound

This paper cites Learnable Activation Functions in Physics-Informed Neural Networks for Solving Partial Differential Equations.

KKANs: Kurkova-Kolmogorov-Arnold Networks and Their Learning Dynamics Learnable Activation Functions in Physics-Informed Neural Networks for Solving Partial Differential Equations

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source=pdf_text observed=2026-08-11T10:23:14.139369Z digest=sha256:e943a91903c0bf6839d4524177148b823f21772a4f2ac3ed37a39fcec8b70040

Observation 30b199f6-ec53-4cc2-ad5f-6028a68a72bf · outbound

This paper cites EPi-cKANs: Elasto-Plasticity Informed Kolmogorov-Arnold Networks Using Chebyshev Polynomials.

KKANs: Kurkova-Kolmogorov-Arnold Networks and Their Learning Dynamics EPi-cKANs: Elasto-Plasticity Informed Kolmogorov-Arnold Networks Using Chebyshev Polynomials

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source=pdf_text observed=2026-08-11T10:23:14.144048Z digest=sha256:963b3f6d697e6086626a1bfd17b66753b49be9f0cdec7a078b3e8e7975fa0e52

Observation ea8282d2-0705-4974-903b-e3ce540a29b1 · outbound

This paper cites Rigas, M.

KKANs: Kurkova-Kolmogorov-Arnold Networks and Their Learning Dynamics Rigas, M

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source=pdf_text observed=2026-08-11T10:23:14.148998Z digest=sha256:f4909d8f20abe8c42d0df5d1c1ccd070cc3e93b22237a3d89ddfb5afb31823b1

Observation 914083f3-5ed3-46b5-bcea-64a4c9389cc3 · outbound

This paper cites Deep Learning Alternatives of the Kolmogorov Superposition Theorem.

KKANs: Kurkova-Kolmogorov-Arnold Networks and Their Learning Dynamics Deep Learning Alternatives of the Kolmogorov Superposition Theorem

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source=pdf_text observed=2026-08-11T10:23:14.153977Z digest=sha256:7b14b5d3b8367f2f1234d478bd617a4b2be8dad7e48f9d0f75824e5ac1a439a7

Observation e3ba9bbb-674c-4c95-b643-4fda3b049e2f · outbound

This paper cites Generalization Bounds and Model Complexity for Kolmogorov-Arnold Networks.

KKANs: Kurkova-Kolmogorov-Arnold Networks and Their Learning Dynamics Generalization Bounds and Model Complexity for Kolmogorov-Arnold Networks

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source=pdf_text observed=2026-08-11T10:23:14.158927Z digest=sha256:bfb4da1a2bfee3847f064c7ea9d9a56f3027ab792deda4175d0822aee5434159

Observation 5f154a3e-04ae-4b42-ae37-d28205cd3db6 · outbound

This paper cites Igelnik, N.

KKANs: Kurkova-Kolmogorov-Arnold Networks and Their Learning Dynamics Igelnik, N

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Observation b742d10a-b74a-40ac-8aea-05d25ec8413d · outbound

This paper cites K ˙ urkov´ a, Kolmogorov’s theorem is relevant, Neural Computation 3 (4) (1991) 617–622.

KKANs: Kurkova-Kolmogorov-Arnold Networks and Their Learning Dynamics K ˙ urkov´ a, Kolmogorov’s theorem is relevant, Neural Computation 3 (4) (1991) 617–622

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Observation b0c147d5-59bb-4d45-82aa-a0986918a22e · outbound

This paper cites K ˙ urkov´ a, Kolmogorov’s theorem and multilayer neural networks, Neural net- works 5 (3) (1992) 501–506.

KKANs: Kurkova-Kolmogorov-Arnold Networks and Their Learning Dynamics K ˙ urkov´ a, Kolmogorov’s theorem and multilayer neural networks, Neural net- works 5 (3) (1992) 501–506

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Observation 7ea580c9-6fe6-48f9-9a3f-089a3b9543a7 · outbound

This paper cites Salimans, D.

KKANs: Kurkova-Kolmogorov-Arnold Networks and Their Learning Dynamics Salimans, D

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Observation a22a3177-0a57-41ef-b92a-0f9278186a4c · outbound

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KKANs: Kurkova-Kolmogorov-Arnold Networks and Their Learning Dynamics Unresolved cited work

Reference 58

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Observation f49134fb-60cd-4115-ac6e-8ec2a52cb33e · outbound

This paper cites PirateNets: Physics-informed Deep Learning with Residual Adaptive Networks.

KKANs: Kurkova-Kolmogorov-Arnold Networks and Their Learning Dynamics PirateNets: Physics-informed Deep Learning with Residual Adaptive Networks

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Observation 5daa5ff3-81f9-4939-af3e-14d8dafd98d5 · outbound

This paper cites The information bottleneck method.

KKANs: Kurkova-Kolmogorov-Arnold Networks and Their Learning Dynamics The information bottleneck method

Reference 60

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source=pdf_text observed=2026-08-11T10:23:14.199711Z digest=sha256:6cae943cc067f426d6c62a3f9d2a79dbadb2f4763497796f078834858e7ee2c4

Observation ade2ae4f-8ca0-44a1-92e3-65b6c3ed1edd · outbound

This paper cites Dherin, M.

KKANs: Kurkova-Kolmogorov-Arnold Networks and Their Learning Dynamics Dherin, M

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Observation 7a7b1fb2-37ed-4bf2-a02d-2ce5ae4ad2cc · outbound

This paper cites Learning in PINNs: Phase transition, total diffusion, and generalization.

KKANs: Kurkova-Kolmogorov-Arnold Networks and Their Learning Dynamics Learning in PINNs: Phase transition, total diffusion, and generalization

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Observation 10015411-f211-4afd-b21c-29f06a891138 · outbound

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KKANs: Kurkova-Kolmogorov-Arnold Networks and Their Learning Dynamics Unresolved cited work

Reference 63

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Observation 27b006c3-ea8d-473d-b747-29ced1a35f77 · outbound

This paper cites ConFIG: Towards Conflict-free Training of Physics Informed Neural Networks.

KKANs: Kurkova-Kolmogorov-Arnold Networks and Their Learning Dynamics ConFIG: Towards Conflict-free Training of Physics Informed Neural Networks

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Observation 7242faff-466e-4137-8c8a-18520d5eb4ef · outbound

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KKANs: Kurkova-Kolmogorov-Arnold Networks and Their Learning Dynamics Unresolved cited work

Reference 65

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Observation 139e7890-bd04-4750-89da-d340ac9fc5a1 · outbound

This paper cites Arnold, On functions of three variables, Proceedings of the USSR Academy of Sciences 114 (1957) 679–681, english translation: Amer.

KKANs: Kurkova-Kolmogorov-Arnold Networks and Their Learning Dynamics Arnold, On functions of three variables, Proceedings of the USSR Academy of Sciences 114 (1957) 679–681, english translation: Amer

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Observation ead67138-cf79-41ae-9fe0-2d3c7f69dd72 · outbound

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KKANs: Kurkova-Kolmogorov-Arnold Networks and Their Learning Dynamics Unresolved cited work

Reference 67

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Observation 0ff0d4e1-5a46-41e5-9715-fbc0fafe5014 · outbound

This paper cites Kolmogorov, On the representation of continuous functions of several variables as superpositions of continuous functions of one variable and additionEnglish translation: Amer.

KKANs: Kurkova-Kolmogorov-Arnold Networks and Their Learning Dynamics Kolmogorov, On the representation of continuous functions of several variables as superpositions of continuous functions of one variable and additionEnglish translation: Amer

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Observation 313e7ee0-8ea5-4fd4-9840-958d510038c9 · outbound

This paper cites Girosi, T.

KKANs: Kurkova-Kolmogorov-Arnold Networks and Their Learning Dynamics Girosi, T

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Observation 13325c58-312c-44f9-8286-6618e35fd191 · outbound

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KKANs: Kurkova-Kolmogorov-Arnold Networks and Their Learning Dynamics Unresolved cited work

Reference 70

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Observation b83e1989-088c-4f8c-802f-ebfa6b1e8558 · outbound

This paper cites Sprecher, Ph.d.

KKANs: Kurkova-Kolmogorov-Arnold Networks and Their Learning Dynamics Sprecher, Ph.d

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Observation 4485a8df-adba-4ef3-9ba7-a1c8b6ae6c5f · outbound

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KKANs: Kurkova-Kolmogorov-Arnold Networks and Their Learning Dynamics Unresolved cited work

Reference 72

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Observation 94c1bcf0-1e7f-4853-b4b3-03d171d243e0 · outbound

This paper cites Kahane, Sur le th´ eor` eme de superposition de Kolmogorov, Journal of Ap- proximation Theory 13 (1975) 229–234.

KKANs: Kurkova-Kolmogorov-Arnold Networks and Their Learning Dynamics Kahane, Sur le th´ eor` eme de superposition de Kolmogorov, Journal of Ap- proximation Theory 13 (1975) 229–234

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Observation ed7a68e9-bc31-4b56-a870-5115c18a7757 · outbound

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KKANs: Kurkova-Kolmogorov-Arnold Networks and Their Learning Dynamics Unresolved cited work

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Observation 064a3ca3-fe90-4569-bfba-267d37d61a74 · outbound

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KKANs: Kurkova-Kolmogorov-Arnold Networks and Their Learning Dynamics Unresolved cited work

Reference 75

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Observation 6acbc795-bd48-4a1c-bb76-8cf7391a6a50 · outbound

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KKANs: Kurkova-Kolmogorov-Arnold Networks and Their Learning Dynamics Unresolved cited work

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KKANs: Kurkova-Kolmogorov-Arnold Networks and Their Learning Dynamics Unresolved cited work

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Observation 069b4f82-134a-41ed-9ed1-c85569a2f781 · outbound

This paper cites Montanelli, H.

KKANs: Kurkova-Kolmogorov-Arnold Networks and Their Learning Dynamics Montanelli, H

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This paper cites Braun, An Application of Kolmogorov’s Superposition Theorem to Function Reconstruction in Higher Dimensions, Ph.D.

KKANs: Kurkova-Kolmogorov-Arnold Networks and Their Learning Dynamics Braun, An Application of Kolmogorov’s Superposition Theorem to Function Reconstruction in Higher Dimensions, Ph.D

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This paper cites K¨ oppen, On the training of a kolmogorov network, in: ICANN 2002: Inter- national Conference on Artificial Neural Networks, Vol.

KKANs: Kurkova-Kolmogorov-Arnold Networks and Their Learning Dynamics K¨ oppen, On the training of a kolmogorov network, in: ICANN 2002: Inter- national Conference on Artificial Neural Networks, Vol

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This paper cites Braun, M.

KKANs: Kurkova-Kolmogorov-Arnold Networks and Their Learning Dynamics Braun, M

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KKANs: Kurkova-Kolmogorov-Arnold Networks and Their Learning Dynamics Unresolved cited work

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Observation 675a5ec5-fb77-4e89-aab9-97aa277f6d62 · outbound

This paper cites Schmidt-Hieber, The Kolmogorov–Arnold representation theorem revisited, Neural Networks 137 (2021) 119–126.

KKANs: Kurkova-Kolmogorov-Arnold Networks and Their Learning Dynamics Schmidt-Hieber, The Kolmogorov–Arnold representation theorem revisited, Neural Networks 137 (2021) 119–126

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This paper cites Bader, Space-Filling Curves: An Introduction with Applications in Scientific Computing, Springer, Berlin, Heidelberg, 2013.

KKANs: Kurkova-Kolmogorov-Arnold Networks and Their Learning Dynamics Bader, Space-Filling Curves: An Introduction with Applications in Scientific Computing, Springer, Berlin, Heidelberg, 2013

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Observation 3796826f-6caa-4b0d-b40e-2cbef5a49f92 · outbound

This paper cites Ismayilova, V.

KKANs: Kurkova-Kolmogorov-Arnold Networks and Their Learning Dynamics Ismayilova, V

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Observation 6772d6e0-b9f9-4c7d-bd1a-b87b06ec174d · outbound

This paper cites Ismailov, Addressing common misinterpretations of KART and UAT in neural network literature, arXiv preprint arXiv:2408.16389 (2024).

KKANs: Kurkova-Kolmogorov-Arnold Networks and Their Learning Dynamics Ismailov, Addressing common misinterpretations of KART and UAT in neural network literature, arXiv preprint arXiv:2408.16389 (2024)

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Observation 1ec90f9b-647b-464a-8d07-83ae738a2a2f · outbound

This paper cites Doss, A superposition theorem for unbounded continuous functions, Transac- tions of the American Mathematical Society 233 (1977) 197–203.

KKANs: Kurkova-Kolmogorov-Arnold Networks and Their Learning Dynamics Doss, A superposition theorem for unbounded continuous functions, Transac- tions of the American Mathematical Society 233 (1977) 197–203

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This paper cites Demko, A superposition theorem for bounded continuous functions, Proceed- ings of the American Mathematical Society 66 (1) (1977) 75–78.

KKANs: Kurkova-Kolmogorov-Arnold Networks and Their Learning Dynamics Demko, A superposition theorem for bounded continuous functions, Proceed- ings of the American Mathematical Society 66 (1) (1977) 75–78

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Observation b1ea1546-06f7-41ba-a80b-ae25a00e4288 · outbound

This paper cites Hattori, Dimension and superposition of bounded continuous functions on locally compact, separable metric spaces, Topology and its Applications 54 (1–3) (1993) 123–132.

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KKANs: Kurkova-Kolmogorov-Arnold Networks and Their Learning Dynamics Unresolved cited work

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Observation a30a084b-33d3-4648-9c3e-ccad89a03473 · outbound

This paper cites Sternfeld, Dimension, superposition of functions and separation of points, in compact metric spaces, Israel Journal of Mathematics 50 (1985) 13–53.

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This paper cites Laczkovich, A superposition theorem of Kolmogorov type for bounded con- tinuous functions, Journal of Approximation Theory 269 (2021) 105609.

KKANs: Kurkova-Kolmogorov-Arnold Networks and Their Learning Dynamics Laczkovich, A superposition theorem of Kolmogorov type for bounded con- tinuous functions, Journal of Approximation Theory 269 (2021) 105609

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This paper cites Hecht-Nielsen, Kolmogorov’s mapping neural network existence theorem, in: Proceedings of the IEEE First International Conference on Neural Networks, Vol.

KKANs: Kurkova-Kolmogorov-Arnold Networks and Their Learning Dynamics Hecht-Nielsen, Kolmogorov’s mapping neural network existence theorem, in: Proceedings of the IEEE First International Conference on Neural Networks, Vol

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KKANs: Kurkova-Kolmogorov-Arnold Networks and Their Learning Dynamics Unresolved cited work

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Observation 7d3a0767-131b-48e3-b496-3aaf3f1f0b9a · outbound

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KKANs: Kurkova-Kolmogorov-Arnold Networks and Their Learning Dynamics Cybenko, Approximation by superpositions of a sigmoidal function, Mathe- matics of Control, Signals, and Systems 2 (4) (1989) 303–314

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KKANs: Kurkova-Kolmogorov-Arnold Networks and Their Learning Dynamics Unresolved cited work

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Observation 0d93f6a9-4ed5-4366-bffe-eda3e952fb61 · outbound

This paper cites The Proof of Kolmogorov-Arnold May Illuminate Neural Network Learning.

KKANs: Kurkova-Kolmogorov-Arnold Networks and Their Learning Dynamics The Proof of Kolmogorov-Arnold May Illuminate Neural Network Learning

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Observation a0df066f-825d-4c85-aae9-a418b97bfad2 · outbound

This paper cites Petersen, J.

KKANs: Kurkova-Kolmogorov-Arnold Networks and Their Learning Dynamics Petersen, J

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This paper cites The Optimal Linear B-splines Approximation via Kolmogorov Superposition Theorem and its Application.

KKANs: Kurkova-Kolmogorov-Arnold Networks and Their Learning Dynamics The Optimal Linear B-splines Approximation via Kolmogorov Superposition Theorem and its Application

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Observation 74710e33-754c-4e0c-b03e-86f457aaa8f1 · outbound

This paper cites Tensor Neural Network and Its Numerical Integration.

KKANs: Kurkova-Kolmogorov-Arnold Networks and Their Learning Dynamics Tensor Neural Network and Its Numerical Integration

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Pith citing papers

Observation 1354e783-8230-41c3-844d-a3f4fd507867 · inbound

Scaled-cPIKANs: Domain Scaling in Chebyshev-based Physics-informed Kolmogorov-Arnold Networks cites this paper.

Scaled-cPIKANs: Domain Scaling in Chebyshev-based Physics-informed Kolmogorov-Arnold Networks KKANs: Kurkova-Kolmogorov-Arnold Networks and Their Learning Dynamics

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Observation 5f1d5745-1d27-4578-9cc1-5d0587b9eb8d · inbound

FMEnets: Flow, Material, and Energy networks for non-ideal plug flow reactor design cites this paper.

FMEnets: Flow, Material, and Energy networks for non-ideal plug flow reactor design KKANs: Kurkova-Kolmogorov-Arnold Networks and Their Learning Dynamics

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