Paper Citation Record · LEDGER

A holomorphic Kolmogorov-Arnold network framework for solving elliptic problems on arbitrary 2D domains

As of 17 August 2026, this Paper Citation Record lists 78 of 78 outbound references and 2 inbound Pith citation observations for arXiv:2507.22678.

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

pith.paper-citation-record.v1
2507.22678 v1

Coverage vector

measured 78 of 78 reference resolution

Typed states for the displayed outbound observations.

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measured 80 of 80 standing notices

One-hop event checks from named stored sources.

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measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-28T21:31:15.241132Z

measured 1 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Reference resolution

78 of 78 outbound references displayed

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External citation measurements

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Outbound references

Observation e2c5aba4-0a1c-4b2b-8d2c-d90cde5b42b8 · outbound

This paper cites Deep learning.nature, 521(7553): 436–444, 2015.

A holomorphic Kolmogorov-Arnold network framework for solving elliptic problems on arbitrary 2D domains Deep learning.nature, 521(7553): 436–444, 2015

Reference 1

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This paper cites Springer,.

A holomorphic Kolmogorov-Arnold network framework for solving elliptic problems on arbitrary 2D domains Springer,

Reference 2

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Observation 8c56c9f9-d6c2-41ac-b21b-06a4d89a632f · outbound

This paper cites Approximation by superpositions of a sigmoidal function.Mathemat- ics of control, signals and systems, 2(4):303–314, 1989.

A holomorphic Kolmogorov-Arnold network framework for solving elliptic problems on arbitrary 2D domains Approximation by superpositions of a sigmoidal function.Mathemat- ics of control, signals and systems, 2(4):303–314, 1989

Reference 3

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This paper cites Physics-informed machine learning.Nature Reviews Physics, 3(6):422–440,.

A holomorphic Kolmogorov-Arnold network framework for solving elliptic problems on arbitrary 2D domains Physics-informed machine learning.Nature Reviews Physics, 3(6):422–440,

Reference 4

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Observation 98524e89-10ff-40e2-8dce-6915ce157c8d · outbound

This paper cites Neural algorithm for solving differential equations.Journal of Computational Physics, 91(1):110–131, 11 1990.

A holomorphic Kolmogorov-Arnold network framework for solving elliptic problems on arbitrary 2D domains Neural algorithm for solving differential equations.Journal of Computational Physics, 91(1):110–131, 11 1990

Reference 5

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Observation 860efb1c-6e2d-4104-b9f1-19328a92b094 · outbound

This paper cites Psichogios and Lyle H.

A holomorphic Kolmogorov-Arnold network framework for solving elliptic problems on arbitrary 2D domains Psichogios and Lyle H

Reference 6

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Observation 5efbdf42-44f8-4a84-849c-726ef05ae3a6 · outbound

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A holomorphic Kolmogorov-Arnold network framework for solving elliptic problems on arbitrary 2D domains Unresolved cited work

Reference 7

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A holomorphic Kolmogorov-Arnold network framework for solving elliptic problems on arbitrary 2D domains Unresolved cited work

Reference 8

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A holomorphic Kolmogorov-Arnold network framework for solving elliptic problems on arbitrary 2D domains Unresolved cited work

Reference 9

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Observation 4157b22a-3e78-4ee0-9308-d669f67d8728 · outbound

This paper cites Artificial neural networks for solving ordinary and partial differential equations.IEEE Transactions on Neural Networks, 9(5):987–1000, 1998.

A holomorphic Kolmogorov-Arnold network framework for solving elliptic problems on arbitrary 2D domains Artificial neural networks for solving ordinary and partial differential equations.IEEE Transactions on Neural Networks, 9(5):987–1000, 1998

Reference 10

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Observation 7186b022-cc00-4908-9c3a-f12a6dd8185f · outbound

This paper cites Karniadakis.

A holomorphic Kolmogorov-Arnold network framework for solving elliptic problems on arbitrary 2D domains Karniadakis

Reference 11

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Observation 0fb17f76-c228-4ae0-8d2c-6e0ef23381e3 · outbound

This paper cites Scientific machine learning through physics–informed neural networks: Where we are and what’s next.Journal of Scientific Computing, 92 (3):88, 2022.

A holomorphic Kolmogorov-Arnold network framework for solving elliptic problems on arbitrary 2D domains Scientific machine learning through physics–informed neural networks: Where we are and what’s next.Journal of Scientific Computing, 92 (3):88, 2022

Reference 12

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Observation 6bbdfecc-1f6e-4722-b525-9463ea719e38 · outbound

This paper cites KAN: Kolmogorov-Arnold Networks.

A holomorphic Kolmogorov-Arnold network framework for solving elliptic problems on arbitrary 2D domains KAN: Kolmogorov-Arnold Networks

Reference 13

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Observation 49194771-bdb1-48a6-a52e-a2ad644c8848 · outbound

This paper cites On the representation of continuous functions of many variables by superposition of continuous functions of one variable and addition.

A holomorphic Kolmogorov-Arnold network framework for solving elliptic problems on arbitrary 2D domains On the representation of continuous functions of many variables by superposition of continuous functions of one variable and addition

Reference 14

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Observation e9c81697-74dd-44a7-bdc1-48c6cb0ce158 · outbound

This paper cites Kolmogorov- Arnold networks (KANs) for time series analysis.arXiv preprint, 2024.

A holomorphic Kolmogorov-Arnold network framework for solving elliptic problems on arbitrary 2D domains Kolmogorov- Arnold networks (KANs) for time series analysis.arXiv preprint, 2024

Reference 15

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A holomorphic Kolmogorov-Arnold network framework for solving elliptic problems on arbitrary 2D domains Unresolved cited work

Reference 16

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Observation faba8ecf-70da-4c94-a231-89be72ca4146 · outbound

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

A holomorphic Kolmogorov-Arnold network framework for solving elliptic problems on arbitrary 2D domains KAN 2.0: Kolmogorov-Arnold Networks Meet Science

Reference 17

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Observation 6ce85de4-b9a9-4895-af8d-f4a70dac5206 · outbound

This paper cites Kolmogorov-Arnold Networks for Time Series: Bridging Predictive Power and Interpretability.

A holomorphic Kolmogorov-Arnold network framework for solving elliptic problems on arbitrary 2D domains Kolmogorov-Arnold Networks for Time Series: Bridging Predictive Power and Interpretability

Reference 18

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A holomorphic Kolmogorov-Arnold network framework for solving elliptic problems on arbitrary 2D domains Unresolved cited work

Reference 19

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Observation 726c5db9-79cb-4492-9d09-45c3fc54d2b1 · outbound

This paper cites Kolmogorov-Arnold networks (KAN) for time series classification and robust analysis.

A holomorphic Kolmogorov-Arnold network framework for solving elliptic problems on arbitrary 2D domains Kolmogorov-Arnold networks (KAN) for time series classification and robust analysis

Reference 20

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Observation 25358553-a025-4743-b420-a5f69c89e7a8 · outbound

This paper cites B-spline signal processing.

A holomorphic Kolmogorov-Arnold network framework for solving elliptic problems on arbitrary 2D domains B-spline signal processing

Reference 21

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Observation 06fb5f8a-8e99-4473-8c11-48c6cf971ce0 · outbound

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

A holomorphic Kolmogorov-Arnold network framework for solving elliptic problems on arbitrary 2D domains Wav-KAN: Wavelet Kolmogorov-Arnold Networks

Reference 22

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Observation e41451fa-064f-4d3b-b79f-7a2ea8e0d205 · outbound

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

A holomorphic Kolmogorov-Arnold network framework for solving elliptic problems on arbitrary 2D domains Kolmogorov-Arnold Networks are Radial Basis Function Networks

Reference 23

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Observation 70695395-a26d-42e8-aa81-580ced979c37 · outbound

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

A holomorphic Kolmogorov-Arnold network framework for solving elliptic problems on arbitrary 2D domains Chebyshev Polynomial-Based Kolmogorov-Arnold Networks: An Efficient Architecture for Nonlinear Function Approximation

Reference 24

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Observation 7dd50a74-f1ef-4136-ad1c-51471f106573 · outbound

This paper cites Deepokan: Deep operator network based on Kolmogorov arnold networks for mechanics problems.Computer Methods in Applied Mechanics and Engineering, 436:117699, 2025.

A holomorphic Kolmogorov-Arnold network framework for solving elliptic problems on arbitrary 2D domains Deepokan: Deep operator network based on Kolmogorov arnold networks for mechanics problems.Computer Methods in Applied Mechanics and Engineering, 436:117699, 2025

Reference 25

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Observation f3813eb7-18d6-42bd-abf3-7d02f2e3b9e0 · outbound

This paper cites Learning nonlinear operators via DeepONet based on the universal approxi- mation theorem of operators.Nature machine intelligence, 3(3):218–229, 2021.

A holomorphic Kolmogorov-Arnold network framework for solving elliptic problems on arbitrary 2D domains Learning nonlinear operators via DeepONet based on the universal approxi- mation theorem of operators.Nature machine intelligence, 3(3):218–229, 2021

Reference 26

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This paper cites From PINNs to PIKANs: Recent advances in physics-informed machine learning.Machine Learning for Compu- tational Science and Engineering, 1(1):1–43, 2025.

A holomorphic Kolmogorov-Arnold network framework for solving elliptic problems on arbitrary 2D domains From PINNs to PIKANs: Recent advances in physics-informed machine learning.Machine Learning for Compu- tational Science and Engineering, 1(1):1–43, 2025

Reference 27

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A holomorphic Kolmogorov-Arnold network framework for solving elliptic problems on arbitrary 2D domains Unresolved cited work

Reference 28

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Observation 27620033-0e13-41ff-82ce-00c2506d5866 · outbound

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A holomorphic Kolmogorov-Arnold network framework for solving elliptic problems on arbitrary 2D domains Unresolved cited work

Reference 29

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Observation 4cba73f8-77ef-429a-9647-00104e852e0f · outbound

This paper cites Engsig-Karup, and Tito Andriollo.

A holomorphic Kolmogorov-Arnold network framework for solving elliptic problems on arbitrary 2D domains Engsig-Karup, and Tito Andriollo

Reference 30

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Observation e5520ff0-c55a-4eee-8b9f-7c8895a4694c · outbound

This paper cites Solving plane crack prob- lems via enriched holomorphic neural networks.Engineering Fracture Mechanics, page 111133, 2025.

A holomorphic Kolmogorov-Arnold network framework for solving elliptic problems on arbitrary 2D domains Solving plane crack prob- lems via enriched holomorphic neural networks.Engineering Fracture Mechanics, page 111133, 2025

Reference 31

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This paper cites Higher Mathematics Series.

A holomorphic Kolmogorov-Arnold network framework for solving elliptic problems on arbitrary 2D domains Higher Mathematics Series

Reference 32

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A holomorphic Kolmogorov-Arnold network framework for solving elliptic problems on arbitrary 2D domains Unresolved cited work

Reference 33

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A holomorphic Kolmogorov-Arnold network framework for solving elliptic problems on arbitrary 2D domains Unresolved cited work

Reference 34

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Observation 5520435a-3179-432a-a24b-e782936a331c · outbound

This paper cites Gould and Yuan Feng.Introduction to linear elasticity, volume 2.

A holomorphic Kolmogorov-Arnold network framework for solving elliptic problems on arbitrary 2D domains Gould and Yuan Feng.Introduction to linear elasticity, volume 2

Reference 35

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A holomorphic Kolmogorov-Arnold network framework for solving elliptic problems on arbitrary 2D domains Unresolved cited work

Reference 36

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Observation 222372a6-5df7-4334-aa13-93066b39a733 · outbound

This paper cites Noordhoff Groningen, 1977.

A holomorphic Kolmogorov-Arnold network framework for solving elliptic problems on arbitrary 2D domains Noordhoff Groningen, 1977

Reference 37

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Observation 281abf76-7751-449e-9ab8-1026f6466ea2 · outbound

This paper cites An iterative method for the Helmholtz equation.Journal of Computational Physics, 49(3):443–457, 1983.

A holomorphic Kolmogorov-Arnold network framework for solving elliptic problems on arbitrary 2D domains An iterative method for the Helmholtz equation.Journal of Computational Physics, 49(3):443–457, 1983

Reference 38

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Observation afb679df-5247-4642-9ec7-dfd62f68891e · outbound

This paper cites Helmholtz equation–least-squares method for recon- structing the acoustic pressure field.The Journal of the Acoustical Society of America, 102(4):2020–2032, 1997.

A holomorphic Kolmogorov-Arnold network framework for solving elliptic problems on arbitrary 2D domains Helmholtz equation–least-squares method for recon- structing the acoustic pressure field.The Journal of the Acoustical Society of America, 102(4):2020–2032, 1997

Reference 39

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Observation 2248f6fc-ccca-4028-998e-e37420f7eff5 · outbound

This paper cites A fast method for the solution of the Helmholtz equation.Journal of Computational Physics, 230(12):4403–4418, 2011.

A holomorphic Kolmogorov-Arnold network framework for solving elliptic problems on arbitrary 2D domains A fast method for the solution of the Helmholtz equation.Journal of Computational Physics, 230(12):4403–4418, 2011

Reference 40

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This paper cites WORLD SCIENTIFIC, 1991.

A holomorphic Kolmogorov-Arnold network framework for solving elliptic problems on arbitrary 2D domains WORLD SCIENTIFIC, 1991

Reference 41

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Observation ed5bb569-e111-40a2-92a3-d66b30d17ccf · outbound

This paper cites Boundary integrated neural networks and code for acoustic radiation and scattering.International Journal of Mechanical System Dynamics, 4(2):131–141, 2024.

A holomorphic Kolmogorov-Arnold network framework for solving elliptic problems on arbitrary 2D domains Boundary integrated neural networks and code for acoustic radiation and scattering.International Journal of Mechanical System Dynamics, 4(2):131–141, 2024

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-06T11:37:01.200478Z

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Observation a4f74ee0-8041-433a-9a0c-a367a59648f8 · outbound

This paper cites Boundary integral neural networks for acoustic radiation prediction from noisy boundary data.

A holomorphic Kolmogorov-Arnold network framework for solving elliptic problems on arbitrary 2D domains Boundary integral neural networks for acoustic radiation prediction from noisy boundary data

Reference 43

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Observation e1cc5f26-1b7c-4910-9d1b-0cc5a5400f12 · outbound

This paper cites Vekua theory for the helmholtz operator.Zeitschrift f¨ ur angewandte Mathematik und Physik, 62(5):779–807, 2011.

A holomorphic Kolmogorov-Arnold network framework for solving elliptic problems on arbitrary 2D domains Vekua theory for the helmholtz operator.Zeitschrift f¨ ur angewandte Mathematik und Physik, 62(5):779–807, 2011

Reference 44

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Observation 6d0cefdb-e74e-4aeb-b2c2-54810ddb6a71 · outbound

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A holomorphic Kolmogorov-Arnold network framework for solving elliptic problems on arbitrary 2D domains Unresolved cited work

Reference 45

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Observation 79b240d0-8999-40f4-b90e-f60e3bacb52f · outbound

This paper cites A survey of i.

A holomorphic Kolmogorov-Arnold network framework for solving elliptic problems on arbitrary 2D domains A survey of i

Reference 46

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Observation 8210faac-ebf7-4036-8754-7fc592b37e3e · outbound

This paper cites Anastassiou.

A holomorphic Kolmogorov-Arnold network framework for solving elliptic problems on arbitrary 2D domains Anastassiou

Reference 47

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Observation e9d2cc5d-907a-4107-b843-dcb66a57ef59 · outbound

This paper cites Convergence analysis of two-layer neural networks with ReLU activation.Advances in neural information processing systems, 30, 2017.

A holomorphic Kolmogorov-Arnold network framework for solving elliptic problems on arbitrary 2D domains Convergence analysis of two-layer neural networks with ReLU activation.Advances in neural information processing systems, 30, 2017

Reference 48

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:37:03.340644Z

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Observation afd3469d-9c58-408f-87dd-40cf8834202a · outbound

This paper cites The influence of the sigmoid function parameters on the speed of backpropagation learning.

A holomorphic Kolmogorov-Arnold network framework for solving elliptic problems on arbitrary 2D domains The influence of the sigmoid function parameters on the speed of backpropagation learning

Reference 49

Resolution: verified exact; doi, observed 2026-08-06T11:37:01.959033Z

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Observation c2a26585-551e-43a8-88ba-b6447c394d90 · outbound

This paper cites An extension of the back-propagation algorithm to complex numbers.

A holomorphic Kolmogorov-Arnold network framework for solving elliptic problems on arbitrary 2D domains An extension of the back-propagation algorithm to complex numbers

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Resolution: verified exact; doi, observed 2026-08-06T11:37:01.946705Z

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Observation aa4687e8-f5eb-4fc9-85a9-00b4a822d2f5 · outbound

This paper cites Studies in Computational Intelligence.

A holomorphic Kolmogorov-Arnold network framework for solving elliptic problems on arbitrary 2D domains Studies in Computational Intelligence

Reference 51

Resolution: unresolved; no resolver link, observed 2026-08-06T11:37:01.733446Z

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Observation a854227c-ef03-4dbb-a89d-c573a6cd8fcc · outbound

This paper cites Deep complex networks.arXiv preprint, 2017.

A holomorphic Kolmogorov-Arnold network framework for solving elliptic problems on arbitrary 2D domains Deep complex networks.arXiv preprint, 2017

Reference 52

Resolution: unresolved; no resolver link, observed 2026-08-06T11:37:01.736655Z

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Observation 764d9962-95cc-49f0-932d-836a5e4a140d · outbound

This paper cites Adam: A Method for Stochastic Optimization.

A holomorphic Kolmogorov-Arnold network framework for solving elliptic problems on arbitrary 2D domains Adam: A Method for Stochastic Optimization

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Resolution: unresolved; no resolver link, observed 2026-08-06T11:37:01.739712Z

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Observation 4b3a7054-370e-4afa-8b4e-f65c8902a2f1 · outbound

This paper cites On the limited memory BFGS method for large scale op- timization.Mathematical programming, 45(1):503–528, 1989.

A holomorphic Kolmogorov-Arnold network framework for solving elliptic problems on arbitrary 2D domains On the limited memory BFGS method for large scale op- timization.Mathematical programming, 45(1):503–528, 1989

Reference 54

Resolution: unresolved; no resolver link, observed 2026-08-06T11:37:01.743408Z

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Observation 8e24ddd5-7940-442f-af3f-31f709685e9e · outbound

This paper cites Zur formalen theorie der funktionen von mehr komplexen ver¨ anderlichen.Mathematische Annalen, 97(1):357–375, 1927.

A holomorphic Kolmogorov-Arnold network framework for solving elliptic problems on arbitrary 2D domains Zur formalen theorie der funktionen von mehr komplexen ver¨ anderlichen.Mathematische Annalen, 97(1):357–375, 1927

Reference 55

Resolution: malformed identifier; raw_fallback, observed 2026-08-06T11:37:03.325492Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 118a26d6-0785-4af6-9243-151e6a6d3b3b · outbound

This paper cites Springer Nature Switzerland, Cham, 2024.

A holomorphic Kolmogorov-Arnold network framework for solving elliptic problems on arbitrary 2D domains Springer Nature Switzerland, Cham, 2024

Reference 56

Resolution: verified exact; doi, observed 2026-08-06T11:37:01.900561Z

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 940e46d0-2972-442e-9d10-77c57d7010db · outbound

This paper cites Gentile, Mario Dagrada, Chul Lee, Seong-Hyok S.

A holomorphic Kolmogorov-Arnold network framework for solving elliptic problems on arbitrary 2D domains Gentile, Mario Dagrada, Chul Lee, Seong-Hyok S

Reference 57

Resolution: metadata mismatch; raw_fallback, observed 2026-08-06T11:37:02.780953Z

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 b28bfdaa-4b32-45ef-9ea5-50737120ea67 · outbound

This paper cites A review on weight initialization strategies for neural networks.Artificial intelligence review, 55(1):291–322,.

A holomorphic Kolmogorov-Arnold network framework for solving elliptic problems on arbitrary 2D domains A review on weight initialization strategies for neural networks.Artificial intelligence review, 55(1):291–322,

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Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:37:03.309235Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation aba1e841-f522-46a4-a18e-f19c27f421ab · outbound

This paper cites Understanding the difficulty of training deep feed- forward neural networks.

A holomorphic Kolmogorov-Arnold network framework for solving elliptic problems on arbitrary 2D domains Understanding the difficulty of training deep feed- forward neural networks

Reference 59

Resolution: unresolved; no resolver link, observed 2026-08-06T11:37:01.764721Z

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Observation 03e86d0d-54fd-4697-bc74-2a6261281bbc · outbound

This paper cites Delving deep into rectifiers: Surpassing human-level performance on imagenet classification.

A holomorphic Kolmogorov-Arnold network framework for solving elliptic problems on arbitrary 2D domains Delving deep into rectifiers: Surpassing human-level performance on imagenet classification

Reference 60

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:37:03.287316Z

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 2b78702d-5c6f-4b34-b77c-c6135973a19b · outbound

This paper cites Importance of input data normalization for the applica- tion of neural networks to complex industrial problems.IEEE Transactions on nuclear science, 44(3):1464–1468, 1997.

A holomorphic Kolmogorov-Arnold network framework for solving elliptic problems on arbitrary 2D domains Importance of input data normalization for the applica- tion of neural networks to complex industrial problems.IEEE Transactions on nuclear science, 44(3):1464–1468, 1997

Reference 61

Resolution: unresolved; no resolver link, observed 2026-08-06T11:37:01.771197Z

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Observation 14fcd37f-a27f-414f-87bb-ac2300fe2a5e · outbound

This paper cites Anderson.Fracture mechanics: fundamentals and applications.

A holomorphic Kolmogorov-Arnold network framework for solving elliptic problems on arbitrary 2D domains Anderson.Fracture mechanics: fundamentals and applications

Reference 62

Resolution: unresolved; no resolver link, observed 2026-08-06T11:37:01.774627Z

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Observation b64677d2-5073-43b2-893e-254d3cf6feb9 · outbound

This paper cites Jagtap and George Em Karniadakis.

A holomorphic Kolmogorov-Arnold network framework for solving elliptic problems on arbitrary 2D domains Jagtap and George Em Karniadakis

Reference 63

Resolution: unresolved; no resolver link, observed 2026-08-06T11:37:01.778310Z

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Observation 87b7c9e5-d8dc-4184-8d34-abe075d37dea · outbound

This paper cites Harmonic functions from a complex analysis viewpoint.The American mathematical monthly, 93(4):246–258, 1986.

A holomorphic Kolmogorov-Arnold network framework for solving elliptic problems on arbitrary 2D domains Harmonic functions from a complex analysis viewpoint.The American mathematical monthly, 93(4):246–258, 1986

Reference 64

Resolution: verified exact; raw_fallback, observed 2026-08-06T11:37:02.689861Z

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 b272e989-773c-44e4-9519-74264816b855 · outbound

This paper cites Howie.Laurent Series and the Residue Theorem, chapter 8, pages 137–.

A holomorphic Kolmogorov-Arnold network framework for solving elliptic problems on arbitrary 2D domains Howie.Laurent Series and the Residue Theorem, chapter 8, pages 137–

Reference 65

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:37:03.276494Z

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 383e42f5-81ff-4526-80ae-dd593a76947f · outbound

This paper cites PyTorch: An imperative style, high-performance deep learning library.Advances in neural infor- mation processing systems, 32, 2019.

A holomorphic Kolmogorov-Arnold network framework for solving elliptic problems on arbitrary 2D domains PyTorch: An imperative style, high-performance deep learning library.Advances in neural infor- mation processing systems, 32, 2019

Reference 66

Resolution: unresolved; no resolver link, observed 2026-08-06T11:37:01.791876Z

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Observation e069e085-b59d-4d28-86d8-96df3420c7ac · outbound

This paper cites New development in FreeFem++.Journal of numerical mathematics, 20(3-4):251–266, 2012.

A holomorphic Kolmogorov-Arnold network framework for solving elliptic problems on arbitrary 2D domains New development in FreeFem++.Journal of numerical mathematics, 20(3-4):251–266, 2012

Reference 67

Resolution: unresolved; no resolver link, observed 2026-08-06T11:37:01.795063Z

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Observation a1e18169-3ca4-4366-a1ca-374d7a365e9b · outbound

This paper cites an unresolved cited work.

A holomorphic Kolmogorov-Arnold network framework for solving elliptic problems on arbitrary 2D domains Unresolved cited work

Reference 68

Resolution: unresolved; no resolver link, observed 2026-08-06T11:37:01.798731Z

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Observation 22a2d72a-645e-4fe6-ad2d-7ae5b2847842 · outbound

This paper cites Separable physics-informed neural networks.

A holomorphic Kolmogorov-Arnold network framework for solving elliptic problems on arbitrary 2D domains Separable physics-informed neural networks

Reference 69

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:37:03.253162Z

Source-reported events for the cited work

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Observation 7ca2f7da-a239-4024-8acf-d24934a1c92a · outbound

This paper cites DeepXDE: A deep learning library for solving differential equations.SIAM Review, 63(1):208–228, 2021.

A holomorphic Kolmogorov-Arnold network framework for solving elliptic problems on arbitrary 2D domains DeepXDE: A deep learning library for solving differential equations.SIAM Review, 63(1):208–228, 2021

Reference 70

Resolution: unresolved; no resolver link, observed 2026-08-06T11:37:01.805237Z

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Observation cd8dcd5f-6951-4c54-b705-560f176bfc4d · outbound

This paper cites A comparison between multilayer perceptrons and Kolmogorov-Arnold networks for multi-task classification in sitting posture recognition.

A holomorphic Kolmogorov-Arnold network framework for solving elliptic problems on arbitrary 2D domains A comparison between multilayer perceptrons and Kolmogorov-Arnold networks for multi-task classification in sitting posture recognition

Reference 71

Resolution: metadata mismatch; raw_fallback, observed 2026-08-06T11:37:02.546387Z

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 a627e2b6-ba6b-4589-849a-93c670ee311e · outbound

This paper cites an unresolved cited work.

A holomorphic Kolmogorov-Arnold network framework for solving elliptic problems on arbitrary 2D domains Unresolved cited work

Reference 72

Resolution: unresolved; no resolver link, observed 2026-08-06T11:37:01.812762Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation de19c8d9-f146-4669-938b-da724dbebfe8 · outbound

This paper cites ISBN 978-1-4471-0027-0.

A holomorphic Kolmogorov-Arnold network framework for solving elliptic problems on arbitrary 2D domains ISBN 978-1-4471-0027-0

Reference 152

Resolution: malformed identifier; raw_fallback, observed 2026-08-06T11:37:03.264434Z

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 bc19cebf-7f1f-4feb-8da8-48f92abc1a54 · outbound

This paper cites doi: 10.1007/978-1-4614-4833-4.

A holomorphic Kolmogorov-Arnold network framework for solving elliptic problems on arbitrary 2D domains doi: 10.1007/978-1-4614-4833-4

Reference 1994

Resolution: verified exact; doi, observed 2026-08-06T11:37:02.054758Z

Source-reported events for the cited work

correction dated 2014-05-05. Source: crossref record 10.1007/978-1-4614-4833-4_14->10.1007/978-1-4614-4833-4:correction, observed 2026-07-11T03:12:47.403706+00:00. This notice travels one citation hop only.

Observation 1b80b289-f747-47ff-8a52-4b20655fafb8 · outbound

This paper cites an unresolved cited work.

A holomorphic Kolmogorov-Arnold network framework for solving elliptic problems on arbitrary 2D domains Unresolved cited work

Reference 2011

Resolution: verified exact; doi, observed 2026-08-06T11:37:02.363001Z

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 27b4eb64-77e3-4f03-8ee6-e360a2c97eb6 · outbound

This paper cites an unresolved cited work.

A holomorphic Kolmogorov-Arnold network framework for solving elliptic problems on arbitrary 2D domains Unresolved cited work

Reference 2019

Resolution: unresolved; no resolver link, observed 2026-08-06T11:36:58.240708Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0bd60fa9-d03f-4553-9cb0-ef316b9a3473 · outbound

This paper cites an unresolved cited work.

A holomorphic Kolmogorov-Arnold network framework for solving elliptic problems on arbitrary 2D domains Unresolved cited work

Reference 2021

Resolution: unresolved; no resolver link, observed 2026-08-06T11:36:57.687150Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 17168936-4a88-4b21-b510-72bd2b70510c · outbound

This paper cites an unresolved cited work.

A holomorphic Kolmogorov-Arnold network framework for solving elliptic problems on arbitrary 2D domains Unresolved cited work

Reference 2022

Resolution: unresolved; no resolver link, observed 2026-08-06T11:37:01.761346Z

Source-reported events for the cited work

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Pith citing papers

Observation 1b06e8ac-6361-4343-b840-d5c14719301b · inbound

A Practitioner's Guide to Kolmogorov-Arnold Networks cites this paper.

A Practitioner's Guide to Kolmogorov-Arnold Networks A holomorphic Kolmogorov-Arnold network framework for solving elliptic problems on arbitrary 2D domains

Reference 264

Resolution: verified exact; arxiv_id, observed 2026-05-18T03:30:50.348548Z

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 26837479-5310-4f55-99b8-8eaf77275440 · inbound

A holomorphic neural network framework for 3D boundary value problems governed by harmonic potentials cites this paper.

A holomorphic neural network framework for 3D boundary value problems governed by harmonic potentials A holomorphic Kolmogorov-Arnold network framework for solving elliptic problems on arbitrary 2D domains

Reference 49

Resolution: verified exact; arxiv_id, observed 2026-06-28T21:32:38.087915Z

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.