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Monte Carlo methods, such as Markov chain Monte Carlo (MCMC) algorithms, have become very popular in signal processing over the last years. In this work, we introduce a novel MCMC scheme where parallel MCMC chains interact, adapting…

统计计算 · 统计学 2016-09-27 L. Martino , V. Elvira , D. Luengo , F. Louzada

We present a Monte Carlo algorithm that allows the simultaneous determination of a few extremal eigenpairs of a very large matrix without the need to compute the inner product of two vectors or store all the components of any one vector.…

计算物理 · 物理学 2015-05-13 T. E. Booth , J. E. Gubernatis

Adaptive Monte Carlo methods are very efficient techniques designed to tune simulation estimators on-line. In this work, we present an alternative to stochastic approximation to tune the optimal change of measure in the context of…

概率论 · 数学 2009-10-23 Benjamin Jourdain , Jérôme Lelong

In this paper, we propose an approach for an application of Bayesian optimization using Sequential Monte Carlo (SMC) and concepts from the statistical physics of classical systems. Our method leverages the power of modern machine learning…

统计计算 · 统计学 2024-09-06 Anton Lebedev , Thomas Warford , M. Emre Şahin

We establish epigraphical and uniform laws of large numbers for sample-based approximations of law invariant risk functionals. These sample-based approximation schemes include Monte Carlo (MC) and certain randomized quasi-Monte Carlo…

最优化与控制 · 数学 2025-07-01 Olena Melnikov , Johannes Milz

From basic considerations of the Lie group that preserves a target probability measure, we derive the Barker, Metropolis, and ensemble Markov chain Monte Carlo (MCMC) algorithms, as well as variants of waste-recycling Metropolis-Hastings…

统计理论 · 数学 2020-01-29 Steve Huntsman

This paper addresses the problem of Monte Carlo approximation of posterior probability distributions. In particular, we have considered a recently proposed technique known as population Monte Carlo (PMC), which is based on an iterative…

统计计算 · 统计学 2016-06-03 Eugenia Koblents , Joaquín Míguez

We develop a biased Monte Carlo algorithm to measure probabilities of rare events in cluster-cluster aggregation for arbitrary collision kernels. Given a trajectory with a fixed number of collisions, the algorithm modifies both the waiting…

统计力学 · 物理学 2023-05-24 Rahul Dandekar , R. Rajesh , V. Subashri , Oleg Zaboronski

We present a new Monte Carlo scheme for the efficient simulation of multi-polymer systems. The method permits chains to be inserted into the system using a biased growth technique. The growth proceeds via the use of a retractable feeler,…

统计力学 · 物理学 2009-10-31 S. Consta , N. B. Wilding , D. Frenkel , Z. Alexandrowicz

Most experimental and theoretical studies of adiabatic optimization use stoquastic Hamiltonians, whose ground states are expressible using only real nonnegative amplitudes. This raises a question as to whether classical Monte Carlo methods…

量子物理 · 物理学 2016-11-01 Michael Jarret , Stephen P. Jordan , Brad Lackey

High-quality random samples of quantum states are needed for a variety of tasks in quantum information and quantum computation. Searching the high-dimensional quantum state space for a global maximum of an objective function with many local…

量子物理 · 物理学 2015-04-28 Yi-Lin Seah , Jiangwei Shang , Hui Khoon Ng , David John Nott , Berthold-Georg Englert

Quasi-Monte Carlo methods have proven to be effective extensions of traditional Monte Carlo methods in, amongst others, problems of quadrature and the sample path simulation of stochastic differential equations. By replacing the random…

定量方法 · 定量生物学 2019-12-12 Casper H. L. Beentjes , Ruth E. Baker

Markov Chain Monte Carlo (MCMC) is a well-established family of algorithms which are primarily used in Bayesian statistics to sample from a target distribution when direct sampling is challenging. Single instances of MCMC methods are widely…

统计计算 · 统计学 2019-05-27 Alessandro Varsi , Lykourgos Kekempanos , Jeyarajan Thiyagalingam , Simon Maskell

Tailoring the performance of next-generation high entropy materials requires a deep understanding of the competition between entropy-driven random solid solution and enthalpy-driven chemical ordering. Investigating such order and disorder…

材料科学 · 物理学 2026-03-24 Fanli Zhou , Hao Chen , Pengxiang Xu , Kai Yang , Zongrui Pei , Xianglin Liu

Molecular discovery is a multi-objective optimization problem that requires identifying a molecule or set of molecules that balance multiple, often competing, properties. Multi-objective molecular design is commonly addressed by combining…

定量方法 · 定量生物学 2023-10-17 Jenna C. Fromer , Connor W. Coley

We introduce a new micro-macro Markov chain Monte Carlo method (mM-MCMC) to sample invariant distributions of molecular dynamics systems that exhibit a time-scale separation between the microscopic (fast) dynamics, and the macroscopic…

数值分析 · 数学 2020-02-24 Hannes Vandecasteele , Giovanni Samaey

The stochastic simulation algorithm (SSA) and the corresponding Monte Carlo (MC) method are among the most common approaches for studying stochastic processes. They rely on knowledge of interevent probability density functions (PDFs) and on…

统计计算 · 统计学 2024-02-12 S. Rusconi , E. Akhmatskaya , D. Sokolovski , N. Ballard , J. C. de la Cal

We give a cross-disciplinary survey on ``population'' Monte Carlo algorithms. In these algorithms, a set of ``walkers'' or ``particles'' is used as a representation of a high-dimensional vector. The computation is carried out by a random…

统计力学 · 物理学 2015-06-24 Yukito IBA

We design an enhanced Event-Chain Monte Carlo algorithm to study 1D quantum dissipative systems, using their bosonized representation. Expressing the bosonized Hamiltonian as a path integral over a scalar field enables the application of…

强关联电子 · 物理学 2025-08-21 Oscar Bouverot-Dupuis , Alberto Rosso , Manon Michel

We describe a new Hybrid Monte Carlo (HMC) algorithm for dynamical overlap fermions, which improves the rate of topological index changes by adding an additional (intensive) term to the action for the molecular dynamics part of the…

高能物理 - 格点 · 物理学 2012-02-28 Nigel Cundy , Weonjong Lee