Homogeneous curve refinement operators admit exact fixed-width ReLU realizations with depth O(n) via loop controllers that transport residual orbits on polygonal loops.
Neural network approximatio n
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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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Exact Loop Controllers for ReLU Realization of Homogeneous Curve Refinements
Homogeneous curve refinement operators admit exact fixed-width ReLU realizations with depth O(n) via loop controllers that transport residual orbits on polygonal loops.
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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.