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We consider generalizations of the classical inverse problem to Bayesien type estimators, where the result is not one optimal parameter but an optimal probability distribution in parameter space. The practical computational tool to compute…

最优化与控制 · 数学 2024-05-03 Michael Herty , Christian Ringhofer

The main focus of the analysts who deal with clustered data is usually not on the clustering variables, and hence the group-specific parameters are treated as nuisance. If a fixed effects formulation is preferred and the total number of…

统计方法学 · 统计学 2019-01-01 Claudia Di Caterina , Giuliana Cortese , Nicola Sartori

An overview is given over the recently developed and now widely used Monte Carlo algorithms with reduced or eliminated critical slowing down. The basic techniques are overrelaxation, cluster algorithms and multigrid methods. With these…

高能物理 - 格点 · 物理学 2011-04-15 Ulli Wolff

Discontinuous visibility changes remain a major bottleneck when optimizing surfaces within a physically-based inverse renderer. Many previous works have proposed sophisticated algorithms and data structures to sample visibility silhouettes…

计算机视觉与模式识别 · 计算机科学 2025-04-30 Ziyi Zhang , Nicolas Roussel , Wenzel Jakob

While recent work towards the development of tight-binding and ab-initio algorithms has focused on molecular dynamics, Monte Carlo methods can often lead to better results with relatively little effort. We present here a multi-step Monte…

统计力学 · 物理学 2009-10-31 Parthapratim Biswas , G. T. Barkema , Normand Mousseau , W. F. van der Weg

Computational codes based on the Diffusion Monte Carlo method can be used to determine the quantum state of two-electron systems confined by external potentials of various nature and geometry. In this work, we show how the application of…

化学物理 · 物理学 2021-02-24 Gaia Micca Longo , Carla Maria Coppola , Domenico Giordano , Savino Longo

Modern macroeconometrics often relies on time series models for which it is time-consuming to evaluate the likelihood function. We demonstrate how Bayesian computations for such models can be drastically accelerated by reweighting and…

计量经济学 · 经济学 2024-09-10 Marko Mlikota , Frank Schorfheide

We present a detailed description of the idea and procedure for the newly proposed Monte Carlo algorithm of tuning the critical point automatically, which is called the probability-changing cluster (PCC) algorithm [Y. Tomita and Y. Okabe,…

统计力学 · 物理学 2009-11-07 Yusuke Tomita , Yutaka Okabe

We investigate the properties of a sequential Monte Carlo method where the particle weight that appears in the algorithm is estimated by a positive, unbiased estimator. We present broadly-applicable convergence results, including a central…

统计方法学 · 统计学 2022-08-26 Paul B. Rohrbach , Robert L. Jack

Mean field-like approximations (including naive mean field, Bethe and Kikuchi and more general Cluster Variational Methods) are known to stabilize ordered phases at temperatures higher than the thermodynamical transition. For example, in…

无序系统与神经网络 · 物理学 2015-06-22 A. Lage-Castellanos , R. Mulet , F. Ricci-Tersenghi

It is shown that superefficient Monte Carlo computations can be carried out by using chaotic dynamical systems as non-uniform random-number generators. Here superefficiency means that the expectation value of the square of the error…

chao-dyn · 物理学 2007-05-23 Ken Umeno

Policy-guided Monte Carlo is an adaptive method to simulate classical interacting systems. It adjusts the proposal distribution of the Metropolis-Hastings algorithm to maximize the sampling efficiency, using a formalism inspired by…

软凝聚态物质 · 物理学 2024-08-23 Leonardo Galliano , Riccardo Rende , Daniele Coslovich

A new algorithm for Monte Carlo calculation of the double exchange model is studied. The algorithm is commonly applicable to wide classes of strongly correlated electron systems which involve itinerant electrons coupled with…

强关联电子 · 物理学 2009-11-07 Nobuo Furukawa , Yukitoshi Motome , Hisaho Nakata

Markov chain Monte Carlo algorithms are invaluable tools for exploring stationary properties of physical systems, especially in situations where direct sampling is unfeasible. Common implementations of Monte Carlo algorithms employ…

统计力学 · 物理学 2016-04-27 Marija Vucelja

Techniques for approximately contracting tensor networks are limited in how efficiently they can make use of parallel computing resources. In this work we demonstrate and characterize a Monte Carlo approach to the tensor network…

强关联电子 · 物理学 2017-10-12 William Huggins , C. Daniel Freeman , Miles Stoudenmire , Norm M. Tubman , K. Birgitta Whaley

Within a general cluster framework, we discuss the loop-algorithm, a new type of cluster algorithm that reduces critical slowing down in vertex models and in quantum spin systems. We cover the example of the 6-vertex model in detail. For…

凝聚态物理 · 物理学 2007-05-23 H. G. Evertz , M. Marcu

A major challenge facing existing sequential Monte-Carlo methods for parameter estimation in physics stems from the inability of existing approaches to robustly deal with experiments that have different mechanisms that yield the results…

量子物理 · 物理学 2017-09-13 Christopher Granade , Nathan Wiebe

In 1986, Swendsen and Wang proposed a replica Monte Carlo algorithm for spin glasses [Phys. Rev. Lett. 57 (1986) 2607]. Two important ingredients are present, (1) the use of a collection of systems (replicas) at different of temperatures,…

统计力学 · 物理学 2009-11-10 Jian-Sheng Wang , Robert H. Swendsen

A boundary-based net-exchange Monte Carlo method was introduced in [1] that allows to bypass the difficulties encountered by standard Monte Carlo algorithms in the limit of optically thick absorption (and/or for quasi-isothermal…

计算物理 · 物理学 2019-03-06 V. Eymet , R. Fournier , S. Blanco , J. L. Dufresne

Recently, Velazquez and Curilef have proposed a methodology to extend Monte Carlo algorithms based on canonical ensemble, which is aimed to overcome slow sampling problems associated with temperature-driven discontinuous phase transitions.…

统计力学 · 物理学 2013-07-31 L. Velazquez , J. C. Castro-Palacio