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pro vyhledávání: '"Suzuki, Yuya"'
We study numerical integration by combining the trapezoidal rule with a M\"obius transformation that maps the unit circle onto the real line. We prove that the resulting transformed trapezoidal rule attains the optimal rate of convergence if the inte
Externí odkaz:
http://arxiv.org/abs/2407.13650
Autor:
Suzuki, Yuya, Karvonen, Toni
This paper studies function approximation in Gaussian Sobolev spaces over the real line and measures the error in a Gaussian-weighted $L^p$-norm. We construct two linear approximation algorithms using $n$ function evaluations that achieve the optimal
Externí odkaz:
http://arxiv.org/abs/2402.02917
Randomized quadratures for integrating functions in Sobolev spaces of order $\alpha \ge 1$, where the integrability condition is with respect to the Gaussian measure, are considered. In this function space, the optimal rate for the worst-case root-me
Externí odkaz:
http://arxiv.org/abs/2212.11476
Autor:
Suzuki, Yuya1 (AUTHOR) g2291402@tcu.ac.jp, Yue, Bao2 (AUTHOR) bao@tcu.ac.jp
Publikováno v:
Eng. Sep2024, Vol. 5 Issue 3, p2157-2169. 13p.
Autor:
Karvonen, Toni, Suzuki, Yuya
We consider linear approximation based on function evaluations in reproducing kernel Hilbert spaces of certain analytic weighted power series kernels and stationary kernels on the interval $[-1,1]$. Both classes contain the popular Gaussian kernel $K
Externí odkaz:
http://arxiv.org/abs/2209.12473
The sub-optimality of Gauss--Hermite quadrature and the optimality of the trapezoidal rule are proved in the weighted Sobolev spaces of square integrable functions of order $\alpha$, where the optimality is in the sense of worst-case error. For Gauss
Externí odkaz:
http://arxiv.org/abs/2202.11420
Autor:
Nuyens, Dirk, Suzuki, Yuya
Publikováno v:
Mathematics of Computation, 92 (2023), 307-347
We introduce a new method to approximate integrals $\int_{\mathbb{R}^d} f(\boldsymbol{x}) \, \mathrm{d} \boldsymbol{x}$ which simply scales lattice rules from the unit cube $[0,1]^d$ to properly sized boxes on $\mathbb{R}^d$, hereby achieving higher-
Externí odkaz:
http://arxiv.org/abs/2108.12639
Automation services for complex business processes usually require a high level of information technology literacy. There is a strong demand for a smartly assisted process automation (IPA: intelligent process automation) service that enables even gen
Externí odkaz:
http://arxiv.org/abs/2001.02462
Publikováno v:
In Deep-Sea Research Part I December 2023 202
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