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Paper Citation Record · LEDGER

Quantum-Classical Physics-Informed Kolmogorov-Arnold Networks for Solving Fuzzy Differential Equations

As of 22 August 2026, this Paper Citation Record lists 67 of 67 outbound references and 0 inbound Pith citation observations for arXiv:2608.08782.

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pith.paper-citation-record.v1
2608.08782 v1

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measured 67 of 67 reference resolution

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Pith citing papers itemized under the disclosed page cap.

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Reference resolution

67 of 67 outbound references displayed

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Outbound references

Observation 95075a4c-4e4e-4cd7-8718-928b8e3963a2 · outbound

This paper cites Fuzzy sets,.

Quantum-Classical Physics-Informed Kolmogorov-Arnold Networks for Solving Fuzzy Differential Equations Fuzzy sets,

Reference 1

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This paper cites Introduction to fuzzy partial differential equations,.

Quantum-Classical Physics-Informed Kolmogorov-Arnold Networks for Solving Fuzzy Differential Equations Introduction to fuzzy partial differential equations,

Reference 2

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This paper cites A fuzzy solution of heat equation under generalized hukuhara differentiability by fuzzy fourier transform,.

Quantum-Classical Physics-Informed Kolmogorov-Arnold Networks for Solving Fuzzy Differential Equations A fuzzy solution of heat equation under generalized hukuhara differentiability by fuzzy fourier transform,

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This paper cites Solving fuzzy burgers equation by variational iteration method,.

Quantum-Classical Physics-Informed Kolmogorov-Arnold Networks for Solving Fuzzy Differential Equations Solving fuzzy burgers equation by variational iteration method,

Reference 4

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This paper cites Numerical solutions of fuzzy partial differential equations and its applications in computational mechanics,.

Quantum-Classical Physics-Informed Kolmogorov-Arnold Networks for Solving Fuzzy Differential Equations Numerical solutions of fuzzy partial differential equations and its applications in computational mechanics,

Reference 5

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This paper cites Elementary fuzzy calculus,.

Quantum-Classical Physics-Informed Kolmogorov-Arnold Networks for Solving Fuzzy Differential Equations Elementary fuzzy calculus,

Reference 6

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This paper cites Parametric representation of fuzzy numbers and application to fuzzy calculus,.

Quantum-Classical Physics-Informed Kolmogorov-Arnold Networks for Solving Fuzzy Differential Equations Parametric representation of fuzzy numbers and application to fuzzy calculus,

Reference 7

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This paper cites On using α-cuts to evaluate fuzzy equations,.

Quantum-Classical Physics-Informed Kolmogorov-Arnold Networks for Solving Fuzzy Differential Equations On using α-cuts to evaluate fuzzy equations,

Reference 8

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This paper cites Zadeh’s extension principle for continuous functions of non -interactive variables: A parallel optimization approach,.

Quantum-Classical Physics-Informed Kolmogorov-Arnold Networks for Solving Fuzzy Differential Equations Zadeh’s extension principle for continuous functions of non -interactive variables: A parallel optimization approach,

Reference 9

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This paper cites Difference methods for fuzzy partial differential equations,.

Quantum-Classical Physics-Informed Kolmogorov-Arnold Networks for Solving Fuzzy Differential Equations Difference methods for fuzzy partial differential equations,

Reference 10

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This paper cites Neural‐network‐based approximations for solving partial differential equations,.

Quantum-Classical Physics-Informed Kolmogorov-Arnold Networks for Solving Fuzzy Differential Equations Neural‐network‐based approximations for solving partial differential equations,

Reference 11

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Observation 8510ac6d-34bb-483a-a270-acdba59f76d4 · outbound

This paper cites Artificial neural networks for solving ordinary and partial differential equations,.

Quantum-Classical Physics-Informed Kolmogorov-Arnold Networks for Solving Fuzzy Differential Equations Artificial neural networks for solving ordinary and partial differential equations,

Reference 12

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Observation aa51daed-bea7-4441-bb35-37730ea84929 · outbound

This paper cites Physics -informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations,.

Quantum-Classical Physics-Informed Kolmogorov-Arnold Networks for Solving Fuzzy Differential Equations Physics -informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations,

Reference 13

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Quantum-Classical Physics-Informed Kolmogorov-Arnold Networks for Solving Fuzzy Differential Equations Physics- informed machine learning,

Reference 14

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Quantum-Classical Physics-Informed Kolmogorov-Arnold Networks for Solving Fuzzy Differential Equations Physics-informed neural networks for inverse problems in nano -optics and metamaterials,

Reference 15

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Quantum-Classical Physics-Informed Kolmogorov-Arnold Networks for Solving Fuzzy Differential Equations Physics-informed neural networks for cardiac activation mapping,

Reference 16

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Quantum-Classical Physics-Informed Kolmogorov-Arnold Networks for Solving Fuzzy Differential Equations A physics-informed deep learning framework for inversion and surrogate modeling in solid mechanics,

Reference 17

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This paper cites AI -aristotle: A physics -informed framework for systems biology gray -box identification,.

Quantum-Classical Physics-Informed Kolmogorov-Arnold Networks for Solving Fuzzy Differential Equations AI -aristotle: A physics -informed framework for systems biology gray -box identification,

Reference 18

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Quantum-Classical Physics-Informed Kolmogorov-Arnold Networks for Solving Fuzzy Differential Equations Physics-informed neural network (PINN) for solving frictional contact temperature and inversely evaluating relevant input parameters,

Reference 19

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Quantum-Classical Physics-Informed Kolmogorov-Arnold Networks for Solving Fuzzy Differential Equations Physics‐informed deep neural networks for learning parameters and constitutive relationships in subsurface flow problems,

Reference 20

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Quantum-Classical Physics-Informed Kolmogorov-Arnold Networks for Solving Fuzzy Differential Equations Physics -informed neural networks with weighted losses by uncertainty evaluation for accurate and stable prediction of manufacturing systems,

Reference 21

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Quantum-Classical Physics-Informed Kolmogorov-Arnold Networks for Solving Fuzzy Differential Equations Residual- based adaptivity for two-phase flow simulation in porous media using physics-informed neural networks,

Reference 22

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Quantum-Classical Physics-Informed Kolmogorov-Arnold Networks for Solving Fuzzy Differential Equations Weak form theory -guided neural network (TgNN-wf) for deep learning of subsurface single - and two -phase flow,

Reference 23

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Quantum-Classical Physics-Informed Kolmogorov-Arnold Networks for Solving Fuzzy Differential Equations A mixed pressure-velocity formulation to model flow in heterogeneous porous media with physics -informed neural networks,

Reference 24

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Quantum-Classical Physics-Informed Kolmogorov-Arnold Networks for Solving Fuzzy Differential Equations Physics -informed hybrid GRU neural networks for MPC prediction,

Reference 25

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Quantum-Classical Physics-Informed Kolmogorov-Arnold Networks for Solving Fuzzy Differential Equations Physics -informed spatial fuzzy system and its applications in modeling,

Reference 26

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Quantum-Classical Physics-Informed Kolmogorov-Arnold Networks for Solving Fuzzy Differential Equations Deep fuzzy physics-informed neural networks for forward and inverse PDE problems,

Reference 27

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This paper cites On physics-informed fuzzy neural network for the state of health prediction of lithium-ion batteries,.

Quantum-Classical Physics-Informed Kolmogorov-Arnold Networks for Solving Fuzzy Differential Equations On physics-informed fuzzy neural network for the state of health prediction of lithium-ion batteries,

Reference 28

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Quantum-Classical Physics-Informed Kolmogorov-Arnold Networks for Solving Fuzzy Differential Equations Physics -informed neural network with fuzzy partial differential equation for pavement performance prediction,

Reference 29

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Quantum-Classical Physics-Informed Kolmogorov-Arnold Networks for Solving Fuzzy Differential Equations Interval and fuzzy physics -informed neural networks for uncertain fields,

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This paper cites Understanding and Mitigating Gradient Flow Pathologies in Physics-Informed Neural Networks,.

Quantum-Classical Physics-Informed Kolmogorov-Arnold Networks for Solving Fuzzy Differential Equations Understanding and Mitigating Gradient Flow Pathologies in Physics-Informed Neural Networks,

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Quantum-Classical Physics-Informed Kolmogorov-Arnold Networks for Solving Fuzzy Differential Equations When and why PINNs fail to train: A neural tangent kernel perspective,

Reference 32

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Quantum-Classical Physics-Informed Kolmogorov-Arnold Networks for Solving Fuzzy Differential Equations Boundary-integral type neural network (BINN) for flow problems in anisotropic reservoirs,

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Quantum-Classical Physics-Informed Kolmogorov-Arnold Networks for Solving Fuzzy Differential Equations KAN: Kolmogorov-Arnold Networks

Reference 34

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Quantum-Classical Physics-Informed Kolmogorov-Arnold Networks for Solving Fuzzy Differential Equations A comprehensive and FAIR comparison between MLP and KAN representations for differential equations and operator networks,

Reference 35

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Observation d5f8d269-cf34-4cf4-bbf0-3b52cf47d9fe · outbound

This paper cites Physics -informed kolmogorov-arnold networks for power system dynamics,.

Quantum-Classical Physics-Informed Kolmogorov-Arnold Networks for Solving Fuzzy Differential Equations Physics -informed kolmogorov-arnold networks for power system dynamics,

Reference 36

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Observation c77001f8-1e26-4033-9b0a-1a1e795f9433 · outbound

This paper cites Physics -informed KAN-coupled FEM for deformation analysis of complex shells,.

Quantum-Classical Physics-Informed Kolmogorov-Arnold Networks for Solving Fuzzy Differential Equations Physics -informed KAN-coupled FEM for deformation analysis of complex shells,

Reference 37

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Observation 2d7cf6d3-f82a-445b-8226-fc4cd8baf0ac · outbound

This paper cites Physics-informed kolmogorov–arnold networks to model flow in heterogeneous porous media with a mixed pressure-velocity formulation,.

Quantum-Classical Physics-Informed Kolmogorov-Arnold Networks for Solving Fuzzy Differential Equations Physics-informed kolmogorov–arnold networks to model flow in heterogeneous porous media with a mixed pressure-velocity formulation,

Reference 38

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Observation c6dbf479-a778-4640-a1ae-25c96345a351 · outbound

This paper cites Physics -informed kolmogorov-arnold networks for multi -material elasticity problems in electronic packaging,.

Quantum-Classical Physics-Informed Kolmogorov-Arnold Networks for Solving Fuzzy Differential Equations Physics -informed kolmogorov-arnold networks for multi -material elasticity problems in electronic packaging,

Reference 39

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source=pdf_text observed=2026-08-14T04:30:09.360677Z digest=sha256:deaff36245fc6265e67f87089bf46c187016fe8731b772738483dfe986eccb37

Observation 7d0d4da6-41a3-4fdc-bacd-6eadd254ca57 · outbound

This paper cites Parameterized analytical solution of seepage equation for reservoir simulation using physics -informed kolmogorov -arnold network without labels,.

Quantum-Classical Physics-Informed Kolmogorov-Arnold Networks for Solving Fuzzy Differential Equations Parameterized analytical solution of seepage equation for reservoir simulation using physics -informed kolmogorov -arnold network without labels,

Reference 40

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Observation ae3af2d1-f30e-40f9-83fb-2657289f3bcd · outbound

This paper cites Physics -informed kolmogorov -arnold networks for granular fuzzy fractional optimal control problems,.

Quantum-Classical Physics-Informed Kolmogorov-Arnold Networks for Solving Fuzzy Differential Equations Physics -informed kolmogorov -arnold networks for granular fuzzy fractional optimal control problems,

Reference 41

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source=pdf_text observed=2026-08-14T04:30:09.413330Z digest=sha256:26c3921a5165a8d51fb5718723f30bd07fa831c671d106f46290c2e44c489b3b

Observation 4c6e2414-4a7a-45da-9d8d-6298a7059172 · outbound

This paper cites Quantum computing in the NISQ era and beyond,.

Quantum-Classical Physics-Informed Kolmogorov-Arnold Networks for Solving Fuzzy Differential Equations Quantum computing in the NISQ era and beyond,

Reference 42

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Observation 081118b2-0f90-4b3f-a728-a0f087f92b6d · outbound

This paper cites Noisy intermediate-scale quantum algorithms,.

Quantum-Classical Physics-Informed Kolmogorov-Arnold Networks for Solving Fuzzy Differential Equations Noisy intermediate-scale quantum algorithms,

Reference 43

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Observation c3e3d78d-7991-44f7-a763-1dd05bd7fe38 · outbound

This paper cites Performance study of variational quantum linear solver with an improved ansatz for reservoir flow equations,.

Quantum-Classical Physics-Informed Kolmogorov-Arnold Networks for Solving Fuzzy Differential Equations Performance study of variational quantum linear solver with an improved ansatz for reservoir flow equations,

Reference 44

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Observation cd583608-1ca7-46ac-ad52-a2c6e01fd571 · outbound

This paper cites Performance study of variational quantum linear solver for linear elastic problems,.

Quantum-Classical Physics-Informed Kolmogorov-Arnold Networks for Solving Fuzzy Differential Equations Performance study of variational quantum linear solver for linear elastic problems,

Reference 45

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Observation c0585e9b-7108-478a-b5fe-848bd3b060ef · outbound

This paper cites Data re -uploading for a universal quantum classifier,.

Quantum-Classical Physics-Informed Kolmogorov-Arnold Networks for Solving Fuzzy Differential Equations Data re -uploading for a universal quantum classifier,

Reference 46

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Observation 54568dfd-5ef9-46e5-a4de-77cf0d8e1377 · outbound

This paper cites Universal Approximation Theorem and Error Bounds for Quantum Neural Networks and Quantum Reservoirs,.

Quantum-Classical Physics-Informed Kolmogorov-Arnold Networks for Solving Fuzzy Differential Equations Universal Approximation Theorem and Error Bounds for Quantum Neural Networks and Quantum Reservoirs,

Reference 47

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Observation 7fa50d7c-e251-42c0-a495-0f8c5179e679 · outbound

This paper cites The power of quantum neural networks,.

Quantum-Classical Physics-Informed Kolmogorov-Arnold Networks for Solving Fuzzy Differential Equations The power of quantum neural networks,

Reference 48

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Observation 93259e89-5ff4-4279-91e6-4d10dd40a108 · outbound

This paper cites Supervised learning with quantum-enhanced feature spaces,.

Quantum-Classical Physics-Informed Kolmogorov-Arnold Networks for Solving Fuzzy Differential Equations Supervised learning with quantum-enhanced feature spaces,

Reference 49

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source=pdf_text observed=2026-08-14T04:30:09.624750Z digest=sha256:522b242a31f4ba13b23c1a905c537bbff9b8085b6b4485305d145b494d4f80b8

Observation e4e20feb-91c6-41ff-8401-6b0ec5b1a3d6 · outbound

This paper cites A quantum spatial graph convolutional neural network model on quantum circuits,.

Quantum-Classical Physics-Informed Kolmogorov-Arnold Networks for Solving Fuzzy Differential Equations A quantum spatial graph convolutional neural network model on quantum circuits,

Reference 50

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Observation 93f043fb-406f-4c0e-bcc4-c13e2fde3ba3 · outbound

This paper cites Solving nonlinear differential equations with differentiable quantum circuits,.

Quantum-Classical Physics-Informed Kolmogorov-Arnold Networks for Solving Fuzzy Differential Equations Solving nonlinear differential equations with differentiable quantum circuits,

Reference 51

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source=pdf_text observed=2026-08-14T04:30:09.703915Z digest=sha256:3feab32ecec8b4ffd627a5f09be40c924aaf1116f365e9b5e4d0e23077e1dc2f

Observation 2b1f8013-f70e-4e8e-81ae-b08bb43b4c27 · outbound

This paper cites An efficient quantum neural network model for prediction of carbon dioxide CO2 sequestration in saline aquifers,.

Quantum-Classical Physics-Informed Kolmogorov-Arnold Networks for Solving Fuzzy Differential Equations An efficient quantum neural network model for prediction of carbon dioxide CO2 sequestration in saline aquifers,

Reference 52

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source=pdf_text observed=2026-08-14T04:30:09.753991Z digest=sha256:79056a23e485329a004f58d30420bc0ffa04f72b7706bcaab67b5f818b0f481e

Observation 26986cb7-71f5-41f8-b7b1-0f45923de935 · outbound

This paper cites Barren plateaus in quantum neural network training landscapes,.

Quantum-Classical Physics-Informed Kolmogorov-Arnold Networks for Solving Fuzzy Differential Equations Barren plateaus in quantum neural network training landscapes,

Reference 53

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source=pdf_text observed=2026-08-14T04:30:09.771458Z digest=sha256:9bfbdb1624c4368d98709202ad10801fed11e942d93ccb427f0f11738907be6d

Observation 0acebaac-a43f-4614-ab67-eb486dcfc074 · outbound

This paper cites Noise-induced barren plateaus in variational quantum algorithms,.

Quantum-Classical Physics-Informed Kolmogorov-Arnold Networks for Solving Fuzzy Differential Equations Noise-induced barren plateaus in variational quantum algorithms,

Reference 54

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source=pdf_text observed=2026-08-14T04:30:09.784515Z digest=sha256:7df0846399aea1eeab4855aa9cd85b85ebeb6808ee4f51f0322cff4ecd82417d

Observation a4249ccb-055f-4627-ab66-575b91fd8880 · outbound

This paper cites On physics-informed neural networks for quantum computers,.

Quantum-Classical Physics-Informed Kolmogorov-Arnold Networks for Solving Fuzzy Differential Equations On physics-informed neural networks for quantum computers,

Reference 55

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source=pdf_text observed=2026-08-14T04:30:09.789210Z digest=sha256:d990e25111579934893a9bc22b6a2ae8f1f1d2579362bf97e76eec76b5f1c10a

Observation fe0ccc8a-bba0-4f4a-a214-667e54a09ebf · outbound

This paper cites Quantum physics -informed neural networks,.

Quantum-Classical Physics-Informed Kolmogorov-Arnold Networks for Solving Fuzzy Differential Equations Quantum physics -informed neural networks,

Reference 56

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source=pdf_text observed=2026-08-14T04:30:09.807286Z digest=sha256:5c6e77210c6452d3b534d98e44305a963cd91b7f5830febe5433f4c99caf2288

Observation 2e85409d-efbf-47e8-a737-e4983ef5731a · outbound

This paper cites Physics-informed quantum neural network for solving forward and inverse problems of partial differential equations,.

Quantum-Classical Physics-Informed Kolmogorov-Arnold Networks for Solving Fuzzy Differential Equations Physics-informed quantum neural network for solving forward and inverse problems of partial differential equations,

Reference 57

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source=pdf_text observed=2026-08-14T04:30:09.832498Z digest=sha256:7ad92f15981d979807c8f1e4c50dc4851c48ef6af79380d79f95c121549f70e9

Observation 99f571b9-d82f-43c1-ab56-286e00a21dd2 · outbound

This paper cites Trainable embedding quantum physics informed neural networks for solving nonlinear PDEs,.

Quantum-Classical Physics-Informed Kolmogorov-Arnold Networks for Solving Fuzzy Differential Equations Trainable embedding quantum physics informed neural networks for solving nonlinear PDEs,

Reference 58

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source=pdf_text observed=2026-08-14T04:30:09.838441Z digest=sha256:209a3e5f12ed803e2c7d2632d8d0252ff1ca1b27b5710b26547e56d88935a512

Observation 73091832-88f8-4cb7-ad20-0821ae76d2d0 · outbound

This paper cites Quantum physics -informed neural networks for multivariable partial differential equations,.

Quantum-Classical Physics-Informed Kolmogorov-Arnold Networks for Solving Fuzzy Differential Equations Quantum physics -informed neural networks for multivariable partial differential equations,

Reference 59

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source=pdf_text observed=2026-08-14T04:30:09.845121Z digest=sha256:59550fa58672f98cccfed76d4e8ab85f6d4223d24216af7db5d597a2a1c0db64

Observation 94d4c7ca-9f4a-4484-b103-b7556dc6dcd6 · outbound

This paper cites Exploring hybrid physics - informed neural networks with quantum layers for solving the wave equation,.

Quantum-Classical Physics-Informed Kolmogorov-Arnold Networks for Solving Fuzzy Differential Equations Exploring hybrid physics - informed neural networks with quantum layers for solving the wave equation,

Reference 60

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source=pdf_text observed=2026-08-14T04:30:09.861298Z digest=sha256:d44452ba84c5cd5eca60c9c8ab1a1074dee70c1cdf3930de148708e7645aa7c6

Observation 64767469-e16b-411d-b3f1-3f77b5dd7365 · outbound

This paper cites QCPINN: Quantum -classical physics - informed neural networks for solving PDEs,.

Quantum-Classical Physics-Informed Kolmogorov-Arnold Networks for Solving Fuzzy Differential Equations QCPINN: Quantum -classical physics - informed neural networks for solving PDEs,

Reference 61

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source=pdf_text observed=2026-08-14T04:30:09.871954Z digest=sha256:68cb41c2a86b9bff461f4880708b0584a2f36b30223b37a1beda9c5c5d8f8a10

Observation 3d7d40db-26db-487a-ac18-3df8e7421699 · outbound

This paper cites Hybrid quantum physics-informed neural network: Towards efficient learning of high -speed flows,.

Quantum-Classical Physics-Informed Kolmogorov-Arnold Networks for Solving Fuzzy Differential Equations Hybrid quantum physics-informed neural network: Towards efficient learning of high -speed flows,

Reference 62

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source=pdf_text observed=2026-08-14T04:30:09.889256Z digest=sha256:9c06d7a085ee847658c77cb67a419db3b3a8deba5549e3cbac265b9aca4c6bc7

Observation 8a5e5939-fbf7-4b12-bd26-26ec05d97003 · outbound

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Quantum-Classical Physics-Informed Kolmogorov-Arnold Networks for Solving Fuzzy Differential Equations Incompressible navier–stokes solve on noisy quantum hardware via a hybrid quantum –classical scheme,

Reference 63

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source=pdf_text observed=2026-08-14T04:30:09.905791Z digest=sha256:69b2384aaad456cf5f7d28801b3ac76c0f29a79a4f8e9986d0b3ee3bb15d1eda

Observation 1491f61d-d89e-40a5-9455-ce3d6b1d5343 · outbound

This paper cites A Hybrid Quantum-Classical Physics-Informed Neural Network Architecture for Solving Quantum Optimal Control Problems.

Quantum-Classical Physics-Informed Kolmogorov-Arnold Networks for Solving Fuzzy Differential Equations A Hybrid Quantum-Classical Physics-Informed Neural Network Architecture for Solving Quantum Optimal Control Problems

Reference 64

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source=pdf_text observed=2026-08-14T04:30:09.945028Z digest=sha256:86c3d8c9f684eacafa50f8e4f66877b0d8ee8ee7d608b048175b912de4a13ed6

Observation 1386e9fc-d078-4181-97c3-1fa127f900bc · outbound

This paper cites Quantum-classical physics-informed neural networks for solving reservoir seepage equations,.

Quantum-Classical Physics-Informed Kolmogorov-Arnold Networks for Solving Fuzzy Differential Equations Quantum-classical physics-informed neural networks for solving reservoir seepage equations,

Reference 65

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source=pdf_text observed=2026-08-14T04:30:09.995090Z digest=sha256:a27c5c69d214b36e287f96b9361a4695d74f56b9592aa085efee0313b7914dd2

Observation f2977949-8a2a-40d9-b432-2995cf11e8f8 · outbound

This paper cites Quantum-classical physics-informed Kolmogorov-Arnold networks for PDEs.

Quantum-Classical Physics-Informed Kolmogorov-Arnold Networks for Solving Fuzzy Differential Equations Quantum-classical physics-informed Kolmogorov-Arnold networks for PDEs

Reference 66

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source=pdf_text observed=2026-08-14T04:30:10.054770Z digest=sha256:cdb1d45091581e1b96498adc0d80ce5420c93c8a51a83033d6bfd7b412bc965f

Observation a5d38d7a-3886-45c6-93f6-6305d695263b · outbound

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Quantum-Classical Physics-Informed Kolmogorov-Arnold Networks for Solving Fuzzy Differential Equations Chebyshev Polynomial-Based Kolmogorov-Arnold Networks: An Efficient Architecture for Nonlinear Function Approximation

Reference 67

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