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We address the issue of accurately treating interaction effects in the mesoscopic regime by investigating the ground state properties of isolated irregular quantum dots. Quantum Monte Carlo techniques are used to calculate the distributions…

介观与纳米尺度物理 · 物理学 2007-05-23 Amit Ghosal , C. J. Umrigar , Hong Jiang , Denis Ullmo , Harold U. Baranger

A multilayered particle is illuminated by plane acoustic or electromagnetic waves of one or several frequencies. We consider the inverse scattering problem for the identification of the layers and of the refraction coefficients of the…

数学物理 · 物理学 2016-09-07 Semion Gutman

We consider Bayesian inference in sequential latent variable models in general, and in nonlinear state space models in particular (i.e., state smoothing). We work with sequential Monte Carlo (SMC) algorithms, which provide a powerful…

统计计算 · 统计学 2015-05-26 Fredrik Lindsten , Pete Bunch , Sumeetpal S. Singh , Thomas B. Schön

The problem of detecting a sinusoidal signal with randomly varying frequency has a long history. It is one of the core problems in signal processing, arising in many applications including, for example, underwater acoustic frequency line…

信号处理 · 电气工程与系统科学 2022-11-16 Changrong Liu , S. Suvorova , R. J. Evans , B. Moran , A. Melatos

We develop a computational framework to quantify uncertainty in shear elastography imaging of anomalies in tissues. We adopt a Bayesian inference formulation. Given the observed data, a forward model and their uncertainties, we find the…

数值分析 · 数学 2023-06-07 Ana Carpio , Elena Cebrian , Andrea Gutierrez

We present a novel approach to reverse Monte Carlo (RMC) modeling, SpecSwap-RMC, which makes use of pre-computed property data from a discrete configuration space replacing atomistic moves with swap moves of contributions to a sample-set…

数据分析、统计与概率 · 物理学 2015-05-14 Mikael Leetmaa , Kjartan Thor Wikfeldt , Lars G. M. Pettersson

Markov Chain Monte Carlo (MCMC) methods are employed to sample from a given distribution of interest, whenever either the distribution does not exist in closed form, or, if it does, no efficient method to simulate an independent sample from…

统计计算 · 统计学 2008-07-22 Ioana A. Cosma , Masoud Asgharian

We develop a forward-reverse EM (FREM) algorithm for estimating parameters that determine the dynamics of a discrete time Markov chain evolving through a certain measurable state space. As a key tool for the construction of the FREM method…

统计理论 · 数学 2015-01-29 Christian Bayer , Hilmar Mai , John Schoenmakers

Monte-Carlo (MC) methods, based on random updates and the trial-and-error principle, are well suited to retrieve particle size distributions from small-angle scattering patterns of dilute solutions of scatterers. The size sensitivity of…

数据分析、统计与概率 · 物理学 2013-03-19 Brian Richard Pauw , Jan-Skov Pedersen , Samuel Tardif , Masaki Takata , Bo Brummersted Iversen

Markov Chain Monte Carlo (MCMC) is a class of algorithms to sample complex and high-dimensional probability distributions. The Metropolis-Hastings (MH) algorithm, the workhorse of MCMC, provides a simple recipe to construct reversible…

This paper focuses on the time-harmonic electromagnetic (EM) scattering problem in a general medium which may possess a nontrivial topological structure. We model this by an inhomogeneous and possibly anisotropic medium with embedded…

偏微分方程分析 · 数学 2024-08-14 Huaian Diao , Hongyu Liu , Qingle Meng , Li Wang

We use a variational Monte Carlo algorithm to solve the electronic structure of two-dimensional semiconductor quantum dots in external magnetic field. We present accurate many-body wave functions for the system in various magnetic field…

介观与纳米尺度物理 · 物理学 2009-11-11 Ari Harju

We present a novel Exchange Monte Carlo (EMC) method designed for application in continuous-space Path Integral Monte Carlo (PIMC) simulations at finite temperature. Traditional PIMC methods for bosonic systems suffer from long…

统计力学 · 物理学 2026-05-26 Xun Zhao , Synge Todo

A method for making realistic estimates of the density of levels in even-even nuclei is presented making use of the Monte Carlo shell model (MCSM). The procedure follows three basic steps: (1) computation of the thermal energy with the…

核理论 · 物理学 2009-10-30 W. E. Ormand

Inverse problems defined on the sphere arise in many fields, including seismology and cosmology where problems are defined on the globe and the cosmic sphere. These are generally high-dimensional and computationally very complex and, as a…

数据分析、统计与概率 · 物理学 2023-01-05 Augustin Marignier , Jason D. McEwen , Ana M. G. Ferreira , Thomas D. Kitching

We propose in this work a Monte Carlo method for three dimensional scalar radiative transfer equations with non-integrable, space-dependent scattering kernels. Such kernels typically account for long-range statistical features, and arise…

数值分析 · 数学 2023-07-19 Christophe Gomez , Olivier Pinaud

Bayesian models have become very popular over the last years in several fields such as signal processing, statistics, and machine learning. Bayesian inference requires the approximation of complicated integrals involving posterior…

统计计算 · 统计学 2021-07-20 Luca Martino , Víctor Elvira

In the context of Bayesian inversion for scientific and engineering modeling, Markov chain Monte Carlo sampling strategies are the benchmark due to their flexibility and robustness in dealing with arbitrary posterior probability density…

统计计算 · 统计学 2021-12-07 Han Lu , Mohammad Khalil , Thomas Catanach , Jiefu Chen , Xuqing Wu , Xin Fu , Cosmin Safta , Yueqin Huang

The Multilevel Monte Carlo method is an efficient variance reduction technique. It uses a sequence of coarse approximations to reduce the computational cost in uncertainty quantification applications. The method is nowadays often considered…

数值分析 · 数学 2018-06-15 Pieterjan Robbe , Dirk Nuyens , Stefan Vandewalle

We apply Markov Chain Monte Carlo (MCMC) to the problem of parametric galaxy modeling, estimating posterior distributions of galaxy properties such as ellipticity and brightness for more than 100,000 images of galaxies taken from DC2, a…

天体物理仪器与方法 · 物理学 2023-09-20 James J. Buchanan , Michael D. Schneider , Kerianne Pruett , Robert E. Armstrong
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