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Monte Carlo simulation is an essential component of experimental particle physics in all the phases of its life-cycle: the investigation of the physics reach of detector concepts, the design of facilities and detectors, the development and…

计算物理 · 物理学 2012-08-02 Maria Grazia Pia , Georg Weidenspointner

Applications that require substantial computational resources today cannot avoid the use of heavily parallel machines. Embracing the opportunities of parallel computing and especially the possibilities provided by a new generation of…

计算物理 · 物理学 2017-09-14 Martin Weigel

Hamiltonian Monte Carlo (HMC) is an efficient method of simulating smooth distributions and has motivated the widely used No-U-turn Sampler (NUTS) and software Stan. We build on NUTS and the technique of "unbiased sampling" to design HMC…

统计计算 · 统计学 2022-12-26 George M. Leigh , Amanda R. Northrop

The Hamiltonian Monte Carlo (HMC) algorithm is a powerful Markov Chain Monte Carlo (MCMC) method that uses Hamiltonian dynamics to generate samples from a target distribution. To fully exploit its potential, we must understand how…

统计计算 · 统计学 2025-01-27 Abraham Granados , Isaías Bañales

We apply the Direct Simulation Monte Carlo (DSMC) method, developed originally to calculate rarefied gas dynamical problems, to study the gas flow in an accretion disc in a close binary system. The method involves viscosity and thermal…

天体物理学 · 物理学 2007-05-23 Takuya Matsuda , Hiromi Mizutani , Henri M. J. Boffin

The basic idea of fast Monte Carlo (MC) simulations is to perform particle-based MC simulations with the excluded-volume interactions modeled by "soft" repulsive potentials that allow particle overlapping. This gives much faster system…

软凝聚态物质 · 物理学 2012-01-24 Qiang Wang

Practitioners of Bayesian statistics have long depended on Markov chain Monte Carlo (MCMC) to obtain samples from intractable posterior distributions. Unfortunately, MCMC algorithms are typically serial, and do not scale to the large…

机器学习 · 统计学 2015-06-11 Maxim Rabinovich , Elaine Angelino , Michael I. Jordan

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

The status of the multi-purpose event generator HELAC is briefly presented. The aim of this tool is the full simulation of events within the Standard Model at current and future high energy experiments, in particular the LHC. Some results…

高能物理 - 唯象学 · 物理学 2017-08-23 C. G. Papadopoulos , M. Worek

We investigate the performance of the hybrid Monte Carlo algorithm, the standard algorithm used for lattice QCD simulations involving fermions, in updating non-trivial global topological structures. We find that the hybrid Monte Carlo…

高能物理 - 格点 · 物理学 2016-08-15 B. Allés , G. Boyd , M. D'Elia , A. Di Giacomo , E. Vicari

We analyze the accuracy and sample complexity of variational Monte Carlo approaches to simulate the dynamics of many-body quantum systems classically. By systematically studying the relevant stochastic estimators, we are able to: (i) prove…

量子物理 · 物理学 2023-10-11 Alessandro Sinibaldi , Clemens Giuliani , Giuseppe Carleo , Filippo Vicentini

As the size of engineered systems grows, problems in reliability theory can become computationally challenging, often due to the combinatorial growth in the cut sets. In this paper we demonstrate how Multilevel Monte Carlo (MLMC) - a…

统计计算 · 统计学 2017-03-14 Louis J. M. Aslett , Tigran Nagapetyan , Sebastian J. Vollmer

In this work, we introduce three algorithmic improvements to reduce the cost and improve the scaling of orbital space variational Monte Carlo (VMC). First, we show that by appropriately screening the one- and two-electron integrals of the…

化学物理 · 物理学 2018-07-30 Iliya Sabzevari , Sandeep Sharma

Since its first description fifty years ago, the Metropolis Monte Carlo method has been used in a variety of different ways for the simulation of continuum quantum many-body systems. This paper will consider some of the generalizations of…

计算物理 · 物理学 2009-11-10 D. M. Ceperley

We present a highly scalable Monte Carlo (MC) three-dimensional photon transport simulation platform designed for heterogeneous computing systems. Through the development of a massively parallel MC algorithm using the Open Computing…

分布式、并行与集群计算 · 计算机科学 2018-02-06 Leiming Yu , Fanny Nina-Paravecino , David Kaeli , Qianqian Fang

We propose a hybrid Monte Carlo (HMC) technique applicable to high-dimensional multivariate normal distributions that effectively samples along chaotic trajectories. The method is predicated on the freedom of choice of the HMC momentum…

数据分析、统计与概率 · 物理学 2016-04-26 Nirag Kadakia

In this paper a novel modification of the multilevel Monte Carlo approach, allowing for further significant complexity reduction, is proposed. The idea of the modification is to use the method of control variates to reduce variance at level…

计算金融 · 定量金融 2017-03-14 Denis Belomestny , Tigran Nagapetyan

Variational Monte Carlo (VMC) is an approach for computing ground-state wavefunctions that has recently become more powerful due to the introduction of neural network-based wavefunction parametrizations. However, efficiently training neural…

机器学习 · 统计学 2023-10-03 Robert J. Webber , Michael Lindsey

This paper describes the Monte Carlo simulation developed specifically for the VCS experiments below pion threshold that have been performed at MAMI and JLab. This simulation generates events according to the (Bethe-Heitler + Born) cross…

Variational inference lies at the core of many state-of-the-art algorithms. To improve the approximation of the posterior beyond parametric families, it was proposed to include MCMC steps into the variational lower bound. In this work we…

机器学习 · 统计学 2016-09-28 Christopher Wolf , Maximilian Karl , Patrick van der Smagt