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05/09/2023
Accelerated gradient descent method for functionals of probability measures by new convexity and smoothness based on transport maps
We consider problems of minimizing functionals ℱ of probability measures...
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09/12/2022
Wavelet characterization of exponentially weighted Besov space with dominating mixed smoothness and its application to function approximation
Although numerous studies have focused on normal Besov spaces, limited s...
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03/08/2022
Yet another DE-Sinc indefinite integration formula
Based on the Sinc approximation combined with the tanh transformation, H...
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05/17/2021
Acceleration of the kernel herding algorithm by improved gradient approximation
Kernel herding is a method used to construct quadrature formulas in a re...
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02/22/2021
Kernel quadrature by applying a point-wise gradient descent method to discrete energies
We propose a method for generating nodes for kernel quadrature by a poin...
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08/19/2020
Monte Carlo construction of cubature on Wiener space
In this paper, we investigate application of mathematical optimization t...
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12/16/2019
Kernel-based interpolation at approximate Fekete points
We construct approximate Fekete point sets for kernel-based interpolatio...
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04/12/2019
Construction of conformal maps based on the locations of singularities for improving the double exponential formula
The double exponential formula, or the DE formula, is a high-precision i...
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07/14/2018