Chebyshev Polynomial-Based Kolmogorov-Arnold Networks: An Efficient Architecture for Nonlinear Function Approximation | Paper Citation Record

Observation 7fcfa505-402e-4092-8d17-ce664a89161b · inbound

P1-KAN: an effective Kolmogorov-Arnold network with application to hydraulic valley optimization cites this paper.

P1-KAN: an effective Kolmogorov-Arnold network with application to hydraulic valley optimization Chebyshev Polynomial-Based Kolmogorov-Arnold Networks: An Efficient Architecture for Nonlinear Function Approximation

Reference 24

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Sinc Kolmogorov-Arnold network and its application for solving PDEs with singularities cites this paper.

Sinc Kolmogorov-Arnold network and its application for solving PDEs with singularities Chebyshev Polynomial-Based Kolmogorov-Arnold Networks: An Efficient Architecture for Nonlinear Function Approximation

Reference 39

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Observation 02387821-2db6-47ff-9afc-126adecf5604 · inbound

QKAN: quantum Kolmogorov-Arnold networks with applications in machine learning and multivariate state preparation cites this paper.

QKAN: quantum Kolmogorov-Arnold networks with applications in machine learning and multivariate state preparation Chebyshev Polynomial-Based Kolmogorov-Arnold Networks: An Efficient Architecture for Nonlinear Function Approximation

Reference 16

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Observation 6aa44c77-78ba-48ab-990b-39b5e0f2fa10 · inbound

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

Learnable Activation Functions in Physics-Informed Neural Networks for Solving Partial Differential Equations Chebyshev Polynomial-Based Kolmogorov-Arnold Networks: An Efficient Architecture for Nonlinear Function Approximation

Reference 53

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

KKANs: Kurkova-Kolmogorov-Arnold Networks and Their Learning Dynamics cites this paper.

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

Reference 39

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Observation 670e877a-7591-4c1f-b4fb-0045f0d9fc53 · 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 Chebyshev Polynomial-Based Kolmogorov-Arnold Networks: An Efficient Architecture for Nonlinear Function Approximation

Reference 29

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Observation e44af1cd-4d98-4596-a771-6a61826a897b · inbound

UNetVL: Enhancing 3D Medical Image Segmentation with Chebyshev KAN Powered Vision-LSTM cites this paper.

UNetVL: Enhancing 3D Medical Image Segmentation with Chebyshev KAN Powered Vision-LSTM Chebyshev Polynomial-Based Kolmogorov-Arnold Networks: An Efficient Architecture for Nonlinear Function Approximation

Reference 15

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Observation a270cf45-6cff-4fbe-a1e9-015c22c91a43 · inbound

PRKAN: Parameter-Reduced Kolmogorov-Arnold Networks cites this paper.

PRKAN: Parameter-Reduced Kolmogorov-Arnold Networks Chebyshev Polynomial-Based Kolmogorov-Arnold Networks: An Efficient Architecture for Nonlinear Function Approximation

Reference 10

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Observation 1b8d2500-fe6a-4cd9-ab3e-c43e1ce38bdf · inbound

Free-Knots Kolmogorov-Arnold Network: On the Analysis of Spline Knots and Advancing Stability cites this paper.

Free-Knots Kolmogorov-Arnold Network: On the Analysis of Spline Knots and Advancing Stability Chebyshev Polynomial-Based Kolmogorov-Arnold Networks: An Efficient Architecture for Nonlinear Function Approximation

Reference 2002

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Assessment of the January 2025 Los Angeles County wildfires: A multi-modal analysis of impact, response, and population exposure cites this paper.

Assessment of the January 2025 Los Angeles County wildfires: A multi-modal analysis of impact, response, and population exposure Chebyshev Polynomial-Based Kolmogorov-Arnold Networks: An Efficient Architecture for Nonlinear Function Approximation

Reference 5

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Observation 4b025ee7-7d36-4e50-862f-8eb9f8f50611 · inbound

EFKAN: A KAN-Integrated Neural Operator For Efficient Magnetotelluric Forward Modeling cites this paper.

EFKAN: A KAN-Integrated Neural Operator For Efficient Magnetotelluric Forward Modeling Chebyshev Polynomial-Based Kolmogorov-Arnold Networks: An Efficient Architecture for Nonlinear Function Approximation

Reference 2012

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Low Tensor-Rank Adaptation of Kolmogorov--Arnold Networks cites this paper.

Low Tensor-Rank Adaptation of Kolmogorov--Arnold Networks Chebyshev Polynomial-Based Kolmogorov-Arnold Networks: An Efficient Architecture for Nonlinear Function Approximation

Reference 18

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Observation 34516650-f0f3-4ea4-bee2-1b684c5e438a · inbound

TimeKAN: KAN-based Frequency Decomposition Learning Architecture for Long-term Time Series Forecasting cites this paper.

TimeKAN: KAN-based Frequency Decomposition Learning Architecture for Long-term Time Series Forecasting Chebyshev Polynomial-Based Kolmogorov-Arnold Networks: An Efficient Architecture for Nonlinear Function Approximation

Reference 8

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Observation 9a0c4773-0f35-4e28-b78d-89c633076a94 · inbound

Conformalized-KANs: Uncertainty Quantification with Coverage Guarantees for Kolmogorov-Arnold Networks (KANs) in Scientific Machine Learning cites this paper.

Conformalized-KANs: Uncertainty Quantification with Coverage Guarantees for Kolmogorov-Arnold Networks (KANs) in Scientific Machine Learning Chebyshev Polynomial-Based Kolmogorov-Arnold Networks: An Efficient Architecture for Nonlinear Function Approximation

Reference 19

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Observation 7228279f-3f99-41e9-8974-6a93c3cc4fe5 · inbound

FiberKAN: Kolmogorov-Arnold Networks for Nonlinear Fiber Optics cites this paper.

FiberKAN: Kolmogorov-Arnold Networks for Nonlinear Fiber Optics Chebyshev Polynomial-Based Kolmogorov-Arnold Networks: An Efficient Architecture for Nonlinear Function Approximation

Reference 32

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Observation a61018b3-2e44-49db-92e7-78dd28e609cc · inbound

Degree-Optimized Cumulative Polynomial Kolmogorov-Arnold Networks cites this paper.

Degree-Optimized Cumulative Polynomial Kolmogorov-Arnold Networks Chebyshev Polynomial-Based Kolmogorov-Arnold Networks: An Efficient Architecture for Nonlinear Function Approximation

Reference 23

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Observation 981ea586-e5b9-48b4-a24e-5e03516dee74 · inbound

Leveraging KANs for Expedient Training of Multichannel MLPs via Preconditioning and Geometric Refinement cites this paper.

Leveraging KANs for Expedient Training of Multichannel MLPs via Preconditioning and Geometric Refinement Chebyshev Polynomial-Based Kolmogorov-Arnold Networks: An Efficient Architecture for Nonlinear Function Approximation

Reference 1993

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Observation ab462a2e-7fd8-41d6-82ad-7fa0aff4ce62 · inbound

Taylor expansion-based Kolmogorov-Arnold network for blind image quality assessment cites this paper.

Taylor expansion-based Kolmogorov-Arnold network for blind image quality assessment Chebyshev Polynomial-Based Kolmogorov-Arnold Networks: An Efficient Architecture for Nonlinear Function Approximation

Reference 32

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Observation 32254dbc-5f3c-42a4-9177-ddc4a58eff85 · inbound

Probing Quantum Spin Systems with Kolmogorov-Arnold Neural Network Quantum States cites this paper.

Probing Quantum Spin Systems with Kolmogorov-Arnold Neural Network Quantum States Chebyshev Polynomial-Based Kolmogorov-Arnold Networks: An Efficient Architecture for Nonlinear Function Approximation

Reference 35

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Observation a0751777-5e06-4dd5-9409-0b4be46e69a4 · inbound

Multi-Exit Kolmogorov-Arnold Networks: enhancing accuracy and parsimony cites this paper.

Multi-Exit Kolmogorov-Arnold Networks: enhancing accuracy and parsimony Chebyshev Polynomial-Based Kolmogorov-Arnold Networks: An Efficient Architecture for Nonlinear Function Approximation

Reference 33

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Observation b87d31c6-9673-4b3b-896f-2f7c55182e7b · inbound

Improving Memory Efficiency for Training KANs via Meta Learning cites this paper.

Improving Memory Efficiency for Training KANs via Meta Learning Chebyshev Polynomial-Based Kolmogorov-Arnold Networks: An Efficient Architecture for Nonlinear Function Approximation

Reference 2023

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Observation feeb1fc0-3431-4b76-8c39-7f459f71990e · inbound

Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs cites this paper.

Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Chebyshev Polynomial-Based Kolmogorov-Arnold Networks: An Efficient Architecture for Nonlinear Function Approximation

Reference 55

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Observation d4ea487d-64aa-4dad-bea1-6f2e6c902f5d · inbound

Variational Kolmogorov-Arnold Network cites this paper.

Variational Kolmogorov-Arnold Network Chebyshev Polynomial-Based Kolmogorov-Arnold Networks: An Efficient Architecture for Nonlinear Function Approximation

Reference 32

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Observation 2eed890c-a0c4-4d44-b145-04bf96f0ad67 · inbound

Improving KAN with CDF normalization to quantiles cites this paper.

Improving KAN with CDF normalization to quantiles Chebyshev Polynomial-Based Kolmogorov-Arnold Networks: An Efficient Architecture for Nonlinear Function Approximation

Reference 9

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Observation 6e93947e-8fcb-42a7-84ff-b1e40115f238 · inbound

Multi-Resolution Training-Enhanced Kolmogorov-Arnold Networks for Multi-Scale PDE Problems cites this paper.

Multi-Resolution Training-Enhanced Kolmogorov-Arnold Networks for Multi-Scale PDE Problems Chebyshev Polynomial-Based Kolmogorov-Arnold Networks: An Efficient Architecture for Nonlinear Function Approximation

Reference 18

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

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

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 41b32f68-3a17-4895-ba31-3d78a875de44 · inbound

Sinusoidal Approximation Theorem for Kolmogorov-Arnold Networks cites this paper.

Sinusoidal Approximation Theorem for Kolmogorov-Arnold Networks Chebyshev Polynomial-Based Kolmogorov-Arnold Networks: An Efficient Architecture for Nonlinear Function Approximation

Reference 32

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Observation f56a36b6-13a4-407e-81b1-d1fd77181e7a · inbound

Quantum Variational Activation Functions Empower Kolmogorov-Arnold Networks cites this paper.

Quantum Variational Activation Functions Empower Kolmogorov-Arnold Networks Chebyshev Polynomial-Based Kolmogorov-Arnold Networks: An Efficient Architecture for Nonlinear Function Approximation

Reference 61

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Observation 41377d3a-4ca2-47c4-a0c0-ade7f9afd75a · inbound

On the Rate of Convergence of Kolmogorov-Arnold Network Regression Estimators cites this paper.

On the Rate of Convergence of Kolmogorov-Arnold Network Regression Estimators Chebyshev Polynomial-Based Kolmogorov-Arnold Networks: An Efficient Architecture for Nonlinear Function Approximation

Reference 26

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Observation dc87f2ad-1be4-43b0-8cc5-266531e70e9d · inbound

Process-Informed Forecasting of Complex Thermal Dynamics in Pharmaceutical Manufacturing cites this paper.

Process-Informed Forecasting of Complex Thermal Dynamics in Pharmaceutical Manufacturing Chebyshev Polynomial-Based Kolmogorov-Arnold Networks: An Efficient Architecture for Nonlinear Function Approximation

Reference 28

Resolution: verified exact; arxiv_id, observed 2026-05-18T13:51:25.399301Z

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Observation baff0ba2-f0fb-4ef9-95a4-adf082ba3b21 · inbound

Process-Informed Forecasting of Complex Thermal Dynamics in Pharmaceutical Manufacturing cites this paper.

Process-Informed Forecasting of Complex Thermal Dynamics in Pharmaceutical Manufacturing Chebyshev Polynomial-Based Kolmogorov-Arnold Networks: An Efficient Architecture for Nonlinear Function Approximation

Reference 28

Resolution: verified exact; arxiv_id, observed 2026-05-21T21:14:22.489066Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation e0a70b11-dfc8-4bc3-baea-db4890ae01d5 · inbound

Deformable Medical Image Registration with KAN-based Implicit Neural Representations cites this paper.

Deformable Medical Image Registration with KAN-based Implicit Neural Representations Chebyshev Polynomial-Based Kolmogorov-Arnold Networks: An Efficient Architecture for Nonlinear Function Approximation

Reference 39

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Observation 766e9254-0dad-44e5-8a1e-3bb191966895 · inbound

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

A Practitioner's Guide to Kolmogorov-Arnold Networks Chebyshev Polynomial-Based Kolmogorov-Arnold Networks: An Efficient Architecture for Nonlinear Function Approximation

Reference 203

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Observation 4226a605-e254-4261-957d-224c05ffd579 · inbound

Optimized Architectures for Kolmogorov-Arnold Networks cites this paper.

Optimized Architectures for Kolmogorov-Arnold Networks Chebyshev Polynomial-Based Kolmogorov-Arnold Networks: An Efficient Architecture for Nonlinear Function Approximation

Reference 24

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Observation 64953485-f848-4b17-8447-9b8331f4c5f4 · inbound

Learning continuous state of charge dependent thermal decomposition kinetics for Li-ion cathodes using Kolmogorov-Arnold Chemical Reaction Neural Networks (KA-CRNNs) cites this paper.

Learning continuous state of charge dependent thermal decomposition kinetics for Li-ion cathodes using Kolmogorov-Arnold Chemical Reaction Neural Networks (KA-CRNNs) Chebyshev Polynomial-Based Kolmogorov-Arnold Networks: An Efficient Architecture for Nonlinear Function Approximation

Reference 52

Resolution: verified exact; arxiv_id, observed 2026-05-16T21:21:16.753508Z

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Observation 1f6fbdcf-b9da-48b7-b410-7a628ef42ba3 · inbound

Optimized Piecewise Affine Abstractions of Neural Networks with Learnable Activation Functions cites this paper.

Optimized Piecewise Affine Abstractions of Neural Networks with Learnable Activation Functions Chebyshev Polynomial-Based Kolmogorov-Arnold Networks: An Efficient Architecture for Nonlinear Function Approximation

Reference 2019

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Observation 0c7e8356-31a7-489e-9ebb-add2713ed3fc · inbound

Hardware-Oriented Inference Complexity of Kolmogorov-Arnold Networks cites this paper.

Hardware-Oriented Inference Complexity of Kolmogorov-Arnold Networks Chebyshev Polynomial-Based Kolmogorov-Arnold Networks: An Efficient Architecture for Nonlinear Function Approximation

Reference 37

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Observation f8cf1a68-2459-439b-b35f-cb8f94c687a2 · inbound

Making Gaussian Kolmogorov-Arnold Networks Reliable and Accurate cites this paper.

Making Gaussian Kolmogorov-Arnold Networks Reliable and Accurate Chebyshev Polynomial-Based Kolmogorov-Arnold Networks: An Efficient Architecture for Nonlinear Function Approximation

Reference 5

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Observation 2adbe1ef-c471-4637-be08-fdf848983b4d · inbound

Partition-of-Unity Gaussian Kolmogorov-Arnold Networks cites this paper.

Partition-of-Unity Gaussian Kolmogorov-Arnold Networks Chebyshev Polynomial-Based Kolmogorov-Arnold Networks: An Efficient Architecture for Nonlinear Function Approximation

Reference 11

Resolution: metadata mismatch; arxiv_id, observed 2026-05-11T21:36:13.080725Z

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Observation f4101e3e-859a-4a9f-8362-96bf092946ca · inbound

Adaptive RBF-KAN: A Comparative Evaluation of Dynamic Shape Parameters in Kolmogorov-Arnold Networks cites this paper.

Adaptive RBF-KAN: A Comparative Evaluation of Dynamic Shape Parameters in Kolmogorov-Arnold Networks Chebyshev Polynomial-Based Kolmogorov-Arnold Networks: An Efficient Architecture for Nonlinear Function Approximation

Reference 36

Resolution: verified exact; arxiv_id, observed 2026-05-22T02:00:54.961359Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 3735469a-4e03-48c6-88f4-97de420878bc · inbound

Neural Spectral Element Methods for stiff multiphysics PDEs with electrochemical transport benchmarks cites this paper.

Neural Spectral Element Methods for stiff multiphysics PDEs with electrochemical transport benchmarks Chebyshev Polynomial-Based Kolmogorov-Arnold Networks: An Efficient Architecture for Nonlinear Function Approximation

Reference 23

Resolution: verified exact; arxiv_id, observed 2026-07-02T00:16:23.944818Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 80b62733-7923-40cb-ba41-1c8136742842 · inbound

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

Quantum-classical physics-informed Kolmogorov-Arnold networks for PDEs Chebyshev Polynomial-Based Kolmogorov-Arnold Networks: An Efficient Architecture for Nonlinear Function Approximation

Reference 67

Resolution: verified exact; arxiv_id, observed 2026-06-26T17:49:40.464749Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 63e1c615-65cf-4e60-b243-b3929d723f7d · inbound

Inertia-Informed Federated Learning Control Framework for Distributed Smart Grid Resilience cites this paper.

Inertia-Informed Federated Learning Control Framework for Distributed Smart Grid Resilience Chebyshev Polynomial-Based Kolmogorov-Arnold Networks: An Efficient Architecture for Nonlinear Function Approximation

Reference 14

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Observation 99b25d36-e66a-471a-a0a6-d7fa5d7b5881 · inbound

Neural Discovery of Memory and Nonlocal Kernels in Integro-Differential Equations with Constrained Kolmogorov--Arnold Networks cites this paper.

Neural Discovery of Memory and Nonlocal Kernels in Integro-Differential Equations with Constrained Kolmogorov--Arnold Networks Chebyshev Polynomial-Based Kolmogorov-Arnold Networks: An Efficient Architecture for Nonlinear Function Approximation

Reference 41

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Observation 8396d4c3-cd45-48d5-8e8c-00bbb1e81173 · inbound

Kolmogorov--Arnold Networks for Small Language Models cites this paper.

Kolmogorov--Arnold Networks for Small Language Models Chebyshev Polynomial-Based Kolmogorov-Arnold Networks: An Efficient Architecture for Nonlinear Function Approximation

Reference 14

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Observation 30336317-ca62-4b6e-b183-262098b8a588 · inbound

SechKAN: Kolmogorov-Arnold Networks with Hyperbolic Secant Functions cites this paper.

SechKAN: Kolmogorov-Arnold Networks with Hyperbolic Secant Functions Chebyshev Polynomial-Based Kolmogorov-Arnold Networks: An Efficient Architecture for Nonlinear Function Approximation

Reference 22

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Observation 464f531c-6fb6-48f1-89dc-882b9679e5f4 · inbound

PG-KINN: A Physics-Informed Petrov-Galerkin Kolmogorov-Arnold Network for Solving Forward and Inverse PDEs cites this paper.

PG-KINN: A Physics-Informed Petrov-Galerkin Kolmogorov-Arnold Network for Solving Forward and Inverse PDEs Chebyshev Polynomial-Based Kolmogorov-Arnold Networks: An Efficient Architecture for Nonlinear Function Approximation

Reference 33

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

Quantum-Classical Physics-Informed Kolmogorov-Arnold Networks for Solving Fuzzy Differential Equations cites this paper.

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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