Results 31 to 40 of about 12,230 (257)
Convergence of Uniformity Criteria and the Application in Numerical Integration
Mathematics, 2022 Quasi-Monte Carlo (QMC) methods have been successfully used for the estimation of numerical integrations arising in many applications. In most QMC methods, low-discrepancy sequences have been used, such as digital nets and lattice rules.
Yang Huang, Yongdao Zhou
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Atoms, 2022 Charge-exchange cross sections in Be4+ + H(1s) collisions are calculated using the three-body classical trajectory Monte Carlo method (CTMC) and the quasi-classical trajectory Monte Carlo method of Kirschbaum and Wilets (QCTMC) for impact energies ...
Iman Ziaeian, Károly Tőkési
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Density Estimation by Monte Carlo and Quasi-Monte Carlo
, 2022 Estimating the density of a continuous random variable X has been studied extensively in statistics, in the setting where n independent observations of X are given a priori and one wishes to estimate the density from that. Popular methods include histograms and kernel density estimators.
L'Ecuyer, P., Puchhammer, F.
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Experimental study of 𝛽 spectra using Si detectors [PDF]
EPJ Web of Conferences, 2020 Several scientific users from different communities, such as nuclear medicine, ionizing radiation metrology, nuclear energy industries, and fundamental physics are seeking for a precise knowledge of beta spectra.
Singh Abhilasha +4 more
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Quasi-Monte Carlo Radiosity [PDF]
, 1996 The problem of global illumination in computer graphics is described by a second kind Fredholm integral equation. Due to the complexity of this equation, Monte Carlo methods provide an interesting tool for approximating solutions to this transport equation.
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Adaptive Search in Quasi-Monte-Carlo Optimization [PDF]
Mathematics of Computation, 1995 Motivated by a linear time-complexity result for an adaptive Monte Carlo algorithm, we propose and analyze an adaptive deterministic algorithm. We restrict a grid search to nested subregions that promise to provide improvement of the current solution, and we obtain an exponential rate of convergence in function evaluations.
Biester, Christian +3 more
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Pin-by-Pin Coupled Transient Monte Carlo Analysis Using the iMC Code
Frontiers in Energy Research, 2022 In this article, we present a coupled multi-physics Monte Carlo reactor transient analysis framework implemented in the KAIST Monte Carlo iMC code. In the multi-physics framework, the time-dependent neutron transport calculation and the transient heat ...
HyeonTae Kim, Yonghee Kim
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Estimation of the Craniectomy Surface Area by Using Postoperative Images
International Journal of Biomedical Imaging, 2018 Decompressive craniectomy (DC) is a neurosurgical procedure performed to relieve the intracranial pressure engendered by brain swelling. However, no easy and accurate method exists for determining the craniectomy surface area.
Meng-Yin Ho, Wei-Lung Tseng, Furen Xiao
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Quasi-Monte Carlo hyperinterpolation
Journal of Computational and Applied MathematicsThis paper studies a generalization of hyperinterpolation over the high-dimensional unit cube. Hyperinterpolation of degree \( m \) serves as a discrete approximation of the \( L_2 \)-orthogonal projection of the same degree, using Fourier coefficients evaluated by a positive-weight quadrature rule that exactly integrates all polynomials of degree up ...
Congpei An, Mou Cai, Takashi Goda
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Quasi-Monte Carlo Variational Inference
CoRR, 2018 Many machine learning problems involve Monte Carlo gradient estimators. As a prominent example, we focus on Monte Carlo variational inference (MCVI) in this paper. The performance of MCVI crucially depends on the variance of its stochastic gradients. We propose variance reduction by means of Quasi-Monte Carlo (QMC) sampling.
Alexander Buchholz +2 more
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