Adaptive RBF-KAN adds multiple radial basis kernels and LOOCV-based shape initialization to FastKAN, with benchmark tests on 2D functions showing kernel-specific advantages for smooth, discontinuous, and oscillatory cases.
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The Method of Matched Sections reconstructs fair thin-plate-spline surfaces by decomposing the domain into boundary-matched 1D components that automatically enforce continuity of second- and third-order derivatives.
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Adaptive RBF-KAN: A Comparative Evaluation of Dynamic Shape Parameters in Kolmogorov-Arnold Networks
Adaptive RBF-KAN adds multiple radial basis kernels and LOOCV-based shape initialization to FastKAN, with benchmark tests on 2D functions showing kernel-specific advantages for smooth, discontinuous, and oscillatory cases.
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Thin Plate Spline Surface Reconstruction via the Method of Matched Sections
The Method of Matched Sections reconstructs fair thin-plate-spline surfaces by decomposing the domain into boundary-matched 1D components that automatically enforce continuity of second- and third-order derivatives.