{"total":24,"rows":[{"id":"2410.13228","title":"From PINNs to PIKANs: Recent Advances in Physics-Informed Machine Learning","created":"2024-10-17","cited_by_count":73,"area":null},{"id":"2410.01990","title":"Deep Learning Alternatives of the Kolmogorov Superposition Theorem","created":"2024-10-02","cited_by_count":12,"area":null},{"id":"2411.06286","title":"SPIKANs: Separable Physics-Informed Kolmogorov-Arnold Networks","created":"2024-11-09","cited_by_count":12,"area":null},{"id":"2502.17844","title":"LeanKAN: A Parameter-Lean Kolmogorov-Arnold Network Layer with Improved Memory Efficiency and Convergence Behavior","created":"2025-02-25","cited_by_count":12,"area":null},{"id":"2410.14764","title":"Multifidelity Kolmogorov-Arnold Networks","created":"2024-10-18","cited_by_count":9,"area":null},{"id":"2509.18483","title":"Physics-informed time series analysis with Kolmogorov-Arnold Networks under Ehrenfest constraints","created":"2025-09-23","cited_by_count":5,"area":null},{"id":"2504.12580","title":"ChemKANs for Combustion Chemistry Modeling and Acceleration","created":"2025-04-17","cited_by_count":4,"area":null},{"id":"2505.18131","title":"Leveraging KANs for Expedient Training of Multichannel MLPs via Preconditioning and Geometric Refinement","created":"2025-05-23","cited_by_count":4,"area":null},{"id":"2409.06649","title":"KANtrol: A Physics-Informed Kolmogorov-Arnold Network Framework for Solving Multi-Dimensional and Fractional Optimal Control Problems","created":"2024-09-10","cited_by_count":3,"area":null},{"id":"2504.06327","title":"Physics-informed KAN PointNet: Deep learning for simultaneous solutions to inverse problems in incompressible flow on numerous irregular geometries","created":"2025-04-08","cited_by_count":3,"area":null},{"id":"2504.15240","title":"Conformalized-KANs: Uncertainty Quantification with Coverage Guarantees for Kolmogorov-Arnold Networks (KANs) in Scientific Machine Learning","created":"2025-04-21","cited_by_count":3,"area":null},{"id":"2503.13912","title":"KANITE: Kolmogorov-Arnold Networks for ITE estimation","created":"2025-03-18","cited_by_count":2,"area":null},{"id":"2410.01687","title":"Uncertainty Quantification with Bayesian Higher Order ReLU KANs","created":"2024-10-02","cited_by_count":1,"area":null},{"id":"2601.22409","title":"Optimization, Generalization and Differential Privacy Bounds for Gradient Descent on Kolmogorov-Arnold Networks","created":"2026-01-29","cited_by_count":1,"area":null},{"id":"2603.04827","title":"Multilevel Training for Kolmogorov Arnold Networks","created":"2026-03-05","cited_by_count":1,"area":null},{"id":"2505.03806","title":"Perception-Informed Neural Networks: Beyond Physics-Informed Neural Networks","created":"2025-05-02","cited_by_count":0,"area":null},{"id":"2505.11682","title":"Mollifier Layers: Enabling Efficient High-Order Derivatives in Inverse PDE Learning","created":"2025-05-16","cited_by_count":0,"area":null},{"id":"2507.14121","title":"Kolmogorov Arnold Networks (KANs) for Imbalanced Data -- An Empirical Perspective","created":"2025-07-18","cited_by_count":0,"area":null},{"id":"2509.24517","title":"Performance-Carbon Trade-Offs across Architectural Biases in Shear Flow Forecasting","created":"2025-09-29","cited_by_count":0,"area":null},{"id":"2510.22021","title":"Worst-Case Distance-Aware Error Bounds for Neural Networks","created":"2025-10-24","cited_by_count":0,"area":null},{"id":"2512.22283","title":"Synergizing Kolmogorov-Arnold Networks with Dynamic Adaptive Weighting for High-Frequency and Multi-Scale PDE Solutions","created":"2025-12-25","cited_by_count":0,"area":null},{"id":"2605.06740","title":"Geometric Kolmogorov--Arnold Network (GeoKAN)","created":"2026-05-07","cited_by_count":0,"area":null},{"id":"2605.25163","title":"K-U-KAN: Koopman-Enhanced U-KAN for 3D Dental Reconstruction from a Single Panoramic X-ray Radiograph","created":"2026-05-24","cited_by_count":0,"area":null},{"id":"2607.03682","title":"LRX-PINN: A Layer-Resolving XNet Physics-Informed Neural Network with Integrated Cauchy Activations for Convection-Dominated Problems","created":"2026-07-04","cited_by_count":0,"area":null}],"next_cursor":null}