Zobrazeno 1 - 10
of 21 931
pro vyhledávání: '"Goda, A."'
In this paper, we present some new (in-)tractability results related to the integration problem in subspaces of the Wiener algebra over the $d$-dimensional unit cube. We show that intractability holds for multivariate integration in the standard Wien
Externí odkaz:
http://arxiv.org/abs/2410.09060
We propose a randomized lattice algorithm for approximating multivariate periodic functions over the $d$-dimensional unit cube from the weighted Korobov space with mixed smoothness $\alpha > 1/2$ and product weights $\gamma_1,\gamma_2,\ldots\in [0,1]
Externí odkaz:
http://arxiv.org/abs/2409.18757
Matching users with mutual preferences is a critical aspect of services driven by reciprocal recommendations, such as job search. To produce recommendations in such scenarios, one can predict match probabilities and construct rankings based on these
Externí odkaz:
http://arxiv.org/abs/2409.10992
Autor:
Goda, Bharath Antarvedi, Bacca, Mattia
Cutting mechanics in soft solids present a complex mechanical challenge due to the intricate behavior of soft ductile materials as they undergo crack nucleation and propagation. Recent research has explored the relationship between the cutting force
Externí odkaz:
http://arxiv.org/abs/2409.02665
Phonocardiography has recently gained popularity in low-cost and remote monitoring, including passive fetal heart monitoring. Development for methods which analyse phonocardiographical data try to capitalize on this opportunity, and in recent years a
Externí odkaz:
http://arxiv.org/abs/2408.12966
Autor:
Goda, Takashi
In this short note, we prove that the one-dimensional Kronecker sequence $i\alpha \bmod 1, i=0,1,2,\ldots,$ is quasi-uniform if and only if $\alpha$ is a badly approximable number. Our elementary proof relies on a result on the three-gap theorem for
Externí odkaz:
http://arxiv.org/abs/2404.16352
Autor:
Goda, Takashi
We study the multivariate integration problem for periodic functions from the weighted Korobov space in the randomized setting. We introduce a new randomized rank-1 lattice rule with a randomly chosen number of points, which avoids the need for compo
Externí odkaz:
http://arxiv.org/abs/2403.02660
Publikováno v:
SIAM Journal on Numerical Analysis Vol. 62, Iss. 5 (2024)
Numerical integration over the real line for analytic functions is studied. Our main focus is on the sharpness of the error bounds. We first derive two general lower estimates for the worst-case integration error, and then apply these to establish lo
Externí odkaz:
http://arxiv.org/abs/2401.07196
Autor:
Goda, Takashi
Are common quasi-Monte Carlo sequences quasi-uniform? While this question remains widely open, in this short note, we prove that the two-dimensional Sobol' sequence is not quasi-uniform. This result partially answers an unsolved problem of Sobol' and
Externí odkaz:
http://arxiv.org/abs/2311.05830
Cutting mechanics in soft solids have been a subject of study for several decades, an interest fuelled by the multitude of its applications, including material testing, manufacturing, and biomedical technology. Wire cutting is the simplest model syst
Externí odkaz:
http://arxiv.org/abs/2310.18595