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We present a Monte Carlo simulation framework for analysing the risk involved in deploying real-time control systems in safety-critical applications, as well as an algorithm design technique allowing one (in certain situations) to robustify…

最优化与控制 · 数学 2022-08-04 Mads R. Bisgaard , Lukas Hewing , Alexander Domahidi

Monte Carlo simulations of lattice QCD at non-zero baryon chemical potential $\mu$ suffer from the notorious complex action problem. We consider QCD with static quarks coupled to a large chemical potential. This leaves us with an SU(3)…

高能物理 - 格点 · 物理学 2009-11-07 M. Alford , S. Chandrasekharan , J. Cox , U. -J. Wiese

When underlying probability density functions of nonlinear dynamic systems are unknown, the filtering problem is known to be a challenging problem. This paper attempts to make progress on this problem by proposing a new class of filtering…

统计理论 · 数学 2016-06-17 Zhiguo Wang , Xiaojing Shen , Yunmin Zhu , Jianxin Pan

In this contribution we apply a new variant of the density of states method to the Z3 spin model at finite density. We use restricted expectation values evaluated with Monte Carlo simulations and study their dependence on a control…

高能物理 - 格点 · 物理学 2014-10-08 Ydalia Delgado Mercado , Pascal Törek , Christof Gattringer

We present an exact Monte Carlo algorithm designed to sample theories where the energy is a sum of many couplings of decreasing strength. The algorithm avoids the computation of almost all non-leading terms. Its use is illustrated by…

高能物理 - 格点 · 物理学 2009-10-31 T. Bakeyev , Ph. de Forcrand

To minimise systematic errors in Monte Carlo simulations of charged particles, long range electrostatic interactions have to be calculated accurately and efficiently. Standard approaches, such as Ewald summation or the naive application of…

计算物理 · 物理学 2021-02-24 William Robert Saunders , James Grant , Eike Hermann Müller

The safety concern for unmanned systems, namely the concern for the potential casualty caused by system abnormalities, has been a bottleneck for their development, especially in populated areas. Evidently, the collision between the unmanned…

机器人学 · 计算机科学 2020-03-10 Zhang Hepeng , Quan Quan

We describe and analyze some Monte Carlo methods for manifolds in Euclidean space defined by equality and inequality constraints. First, we give an MCMC sampler for probability distributions defined by un-normalized densities on such…

数值分析 · 数学 2017-09-21 Emilio Zappa , Miranda Holmes-Cerfon , Jonathan Goodman

Monte Carlo simulation is an important tool for modeling highly nonlinear systems (like particle colliders and cellular membranes), and random, floating-point numbers are their fuel. These random samples are frequently generated via the…

统计计算 · 统计学 2018-02-16 Keith Pedersen

Monte Carlo methods represent the "de facto" standard for approximating complicated integrals involving multidimensional target distributions. In order to generate random realizations from the target distribution, Monte Carlo techniques use…

统计计算 · 统计学 2022-01-21 L. Martino , V. Elvira , D. Luengo , J. Corander

Using a dual representation of lattice fermion models that is based on spin-charge transformation and fermionisation of the original description, I derive an algorithm for diagrammatic Monte Carlo simulation of strongly correlated systems.…

强关联电子 · 物理学 2018-02-21 Johan Carlström

We present a cross-language C++/Python program for simulations of quantum mechanical systems with the use of Quantum Monte Carlo (QMC) methods. We describe a system for which to apply QMC, the algorithms of variational Monte Carlo and…

计算物理 · 物理学 2009-11-13 J. K. Nilsen

Space filling designs are central to studying complex systems in various areas of science. They are used for obtaining an overall understanding of the behaviour of the response over the input space, model construction and uncertainty…

统计方法学 · 统计学 2016-08-10 Shirin Golchi , Jason L. Loeppky

We consider the one-dimensional quantum-statistical problem of interacting spin-less particles in an infinite deep potential valley and on a ring. Several limits for the applicability of the Quantum Monte Carlo (QMC) methods were revealed…

统计力学 · 物理学 2007-05-23 Z. Neda , Z. Dezso

We present a novel, generally applicable Monte Carlo algorithm for the simulation of fluid systems. Geometric transformations are used to identify clusters of particles in such a manner that every cluster move is accepted, irrespective of…

统计力学 · 物理学 2016-08-31 Jiwen Liu , Erik Luijten

An efficient Monte Carlo algorithm for the simulation of spin models with long-range interactions is discussed. Its central feature is that the number of operations required to flip a spin is independent of the number of interactions…

统计力学 · 物理学 2007-05-23 Erik Luijten

The performance of the Monte Carlo sampling methods relies on the crucial choice of a proposal density. The notion of optimality is fundamental to design suitable adaptive procedures of the proposal density within Monte Carlo schemes. This…

统计计算 · 统计学 2026-02-24 Fernando Llorente , Luca Martino

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

In this paper we propose a Monte Carlo method for generating finite-domain marginals of critical distributions of statistical models in infinite volume. The algorithm corrects the problem of the long-range effects of boundaries associated…

统计力学 · 物理学 2016-11-09 Victor Herdeiro , Benjamin Doyon

This paper describes a new Monte Carlo method based on a novel stochastic potential switching algorithm. This algorithm enables the equilibrium properties of a system with potential $V$ to be computed using a Monte Carlo simulation for a…

统计力学 · 物理学 2007-05-23 C. H. Mak