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cs.LG2026
A Local Sinkhorn Framework for Conditional Distribution Reconstruction of Multidimensional Random Fields
Mingtao Xia, Qijing Shen
In this paper, we propose a local Sinkhorn divergence framework for conditional distribution reconstruction of multidimensional random fields. By utilizing the debiased Sinkhorn di…
cs.LG2026
Hierarchical RBF-KAN and RBF-SKAN Architectures for Multidimensional Function Approximation and Random Field Learning
Mingtao Xia, Qijing Shen
In this manuscript, we propose and analyze hierarchical Kolmogorov--Arnold neural network architectures employing radial basis functions as activation functions for approximating d…
math.NA2026
An adaptive radial basis function approach for efficiently solving multidimensional spatiotemporal integrodifferential equations
Mingtao Xia, Qijing Shen
In this work, we propose an adaptive radial basis function (RBF) approach for the efficient solution of multidimensional spatiotemporal integrodifferential equations. Our approach…