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The multilevel Monte Carlo (MLMC) method has proven to be an effective variance-reduction statistical method for Uncertainty quantification in PDE models. It combines approximations at different levels of accuracy using a hierarchy of…

数值分析 · 数学 2019-11-28 Santiago Badia , Jerrad Hampton , Javier Principe

Multithreshold Entropy Linear Classifier (MELC) is a density based model which searches for a linear projection maximizing the Cauchy-Schwarz Divergence of dataset kernel density estimation. Despite its good empirical results, one of its…

机器学习 · 计算机科学 2015-04-21 Rafal Jozefowicz , Wojciech Marian Czarnecki

Certain models with purely repulsive pair interactions can form cluster crystals with multiply-occupied lattice sites. Simulating these models' equilibrium properties is, however, quite challenging. Here, we develop an expanded…

软凝聚态物质 · 物理学 2015-03-20 Kai Zhang , Patrick Charbonneau

When solving stochastic partial differential equations (SPDEs) driven by additive spatial white noise, the efficient sampling of white noise realizations can be challenging. Here, we present a new sampling technique that can be used to…

数值分析 · 数学 2023-01-10 Matteo Croci , Michael B. Giles , Marie E. Rognes , Patrick E. Farrell

Microscopy structure segmentation, such as detecting cells or nuclei, generally requires a human to draw a ground truth contour around each instance. Weakly supervised approaches (e.g. consisting of only single point labels) have the…

计算机视觉与模式识别 · 计算机科学 2024-11-25 James Willoughby , Irina Voiculescu

In order to provide a comprehensive theoretical description of MgSiO$_3$ at extreme conditions, we combine results from path integral Monte Carlo (PIMC) and density functional molecular dynamics simulations (DFT-MD) and generate a…

The propagation of uncertainties in reaction cross sections and rates of neutron-, proton-, and $\alpha$-induced reactions into the final isotopic abundances obtained in nucleosynthesis models is an important issue in studies of…

高能天体物理现象 · 物理学 2020-12-24 T. Rauscher

An overview of recent work on Monte Carlo simulations of a granular binary mixture is presented. The results are obtained numerically solving the Enskog equation for inelastic hard-spheres by means of an extension of the well-known direct…

流体动力学 · 物理学 2007-05-23 J. M. Montanero

There is increasing interest in using high-energy collisions to probe the structure of nuclei, in particular with the high-precision data made possible by collisions performed with pairs of isobaric species. A systematic study requires a…

核理论 · 物理学 2023-05-26 Matthew Luzum , Mauricio Hippert , Jean-Yves Ollitrault

We study the problem of an impurity in fully polarized (spin-up) low density neutron matter with the help of an accurate quantum Monte Carlo method in conjunction with a realistic nucleon-nucleon interaction derived from chiral effective…

核理论 · 物理学 2015-11-18 Alessandro Roggero , Abhishek Mukherjee , Francesco Pederiva

Neutrino Direct Simulation Monte Carlo ($\nu$DSMC) is a Monte Carlo method for solving the neutrino Boltzmann equation in the early Universe, designed to track the evolution of cosmic neutrinos across a wide range of cosmological scenarios.…

高能物理 - 唯象学 · 物理学 2025-11-26 Oleksii Ihnatenko , Maksym Ovchynnikov

The spectroscopy of electron capture neutrinos emitted from nearby pre-supernova collapsing stars before the neutrino trapping sets in, can yield useful information on the physical conditions and on the nuclear composition of the core. The…

天体物理学 · 物理学 2011-05-23 F. K. Sutaria , A. Ray , J. A. Sheikh , P. Ring

We present a Monte Carlo (MC) code we wrote to simulate the photospheric process and to study the photospheric spectrum above the peak energy. Our simulations were performed with a photon to electron ratio $N_{\gamma}/N_{e} = 10^{5}$, as…

高能天体物理现象 · 物理学 2016-01-13 Rodolfo Santana , Patrick Crumley , Roberto A. Hernandez , Pawan Kumar

We develop an all-electron path integral Monte Carlo (PIMC) method with free-particle nodes for warm dense matter and apply it to water and carbon plasmas. We thereby extend PIMC studies beyond hydrogen and helium to elements with core…

材料科学 · 物理学 2012-03-22 Kevin Driver , Burkhard Militzer

A new Markov Chain Monte Carlo method for simulating the dynamics of molecular systems characterized by hard-core interactions is introduced. In contrast to traditional Kinetic Monte Carlo approaches, where the state of the system is…

计算物理 · 物理学 2017-02-07 Liborio I. Costa

We suggest to include the density of electron charge explicitly in the electron potential of density functional theory, rather than implicitly via exchange-correlation functionals. The advantages of the approach are conceptual and…

材料科学 · 物理学 2007-05-23 Werner A. Hofer , Krisztian Palotas

Field-level inference has emerged as a promising framework to fully harness the cosmological information encoded in next-generation galaxy surveys. It involves performing Bayesian inference to jointly estimate the cosmological parameters…

宇宙学与河外天体物理 · 物理学 2025-12-19 Hugo Simon , François Lanusse , Arnaud de Mattia

In this paper we discuss the possibility of using multilevel Monte Carlo (MLMC) methods for weak approximation schemes. It turns out that by means of a simple coupling between consecutive time discretisation levels, one can achieve the same…

计算金融 · 定量金融 2014-10-07 Denis Belomestny , Tigran Nagapetyan

In low-temperature high-density plasmas quantum effects of the electrons are becoming increasingly important. This requires the development of new theoretical and computational tools. Quantum Monte Carlo methods are among the most…

统计力学 · 物理学 2014-08-12 T. Schoof , S. Groth , M. Bonitz

Obtaining a rigorous and reliable method for linking computer simulations of polymer blends and composites at different length scales of interest is a highly desirable goal in soft matter physics. In this paper a multiscale modeling…

软凝聚态物质 · 物理学 2015-05-19 J. McCarty , M. G. Guenza
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