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相关论文: Successive Umbrella Sampling

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We present the umbrella sampling (US) technique and show that it can be used to sample extremely low probability areas of the posterior distribution that may be required in statistical analyses of data. In this approach sampling of the…

天体物理仪器与方法 · 物理学 2018-08-15 Charles Matthews , Jonathan Weare , Andrey Kravtsov , Elise Jennings

Umbrella sampling efficiently yields equilibrium averages that depend on exploring rare states of a model by biasing simulations to windows of coordinate values and then combining the resulting data with physical weighting. Here, we…

统计力学 · 物理学 2016-09-21 Erik Thiede , Brian Van Koten , Jonathan Weare , Aaron R. Dinner

Umbrella sampling is an efficient method for the calculation of free energy changes of a system along well-defined reaction coordinates. However, when multiple parallel channels along the reaction coordinate or hidden barriers in directions…

统计方法学 · 统计学 2015-06-16 Mingjun Yang , Lijiang Yang , Yiqin Gao , Hao Hu

We consider a generalization of the discrete-time Self Healing Umbrella Sampling method, which is an adaptive importance technique useful to sample multimodal target distributions. The importance function is based on the weights (namely the…

概率论 · 数学 2017-09-04 Gersende Fort , Benjamin Jourdain , Tony Lelièvre , Gabriel Stoltz

Wang-Landau sampling (WLS) of large systems requires dividing the energy range into "windows" and joining the results of simulations in each window. The resulting density of states (and associated thermodynamic functions) are shown to…

统计力学 · 物理学 2009-11-13 A. G. Cunha-Netto , A. A. Caparica , Shan-Ho Tsai , Ronald Dickman , D. P. Landau

We introduce an accurate and efficient method for characterizing surface wetting and interfacial properties, such as the contact angle made by a liquid droplet on a solid surface, and the vapor-liquid surface tension of a fluid. The method…

软凝聚态物质 · 物理学 2018-11-14 Hao Jiang , Suruchi Fialoke , Zachariah Vicars , Amish J. Patel

A new unequal probability sampling method is proposed. This method is sequential. The decision to select or not each unit is made based on the order in which the units appear. A variant of this method allows selecting a sample from a…

统计方法学 · 统计学 2021-11-17 Bardia Panahbehagh , Raphaël Jauslin , Yves Tillé

The sampling problem lies at the heart of atomistic simulations and over the years many different enhanced sampling methods have been suggested towards its solution. These methods are often grouped into two broad families. On the one hand…

计算物理 · 物理学 2020-11-25 Michele Invernizzi , Pablo Miguel Piaggi , Michele Parrinello

Numerical studies in random systems are plagued with strong finite-size effects and boundary effects. We introduce a window-measurement method as a practical solution to these difficulties. We observe physical quantities only within a…

无序系统与神经网络 · 物理学 2015-06-19 Tota Nakamura , Takayuki Shirakura

Metropolis algorithm has been extensively employed for simulating a canonical ensemble and estimating macroscopic properties of a closed system at any desired temperature. A mechanical property, like energy can be calculated by averaging…

统计力学 · 物理学 2017-09-28 K. P. N. Murthy

The free energetics of water density fluctuations in bulk water, at interfaces, and in hydrophobic confinement inform the hydration of hydrophobic solutes as well as their interactions and assembly. The characterization of such free…

统计力学 · 物理学 2018-03-15 Erte Xi , Sean M. Marks , Suruchi Fialoke , Amish J. Patel

We study the parametric online changepoint detection problem, where the underlying distribution of the streaming data changes from a known distribution to an alternative that is of a known parametric form but with unknown parameters. We…

统计理论 · 数学 2023-05-22 Liyan Xie , George V. Moustakides , Yao Xie

We calculate the density of states of a binary Lennard-Jones glass using a recently proposed Monte Carlo algorithm. Unlike traditional molecular simulation approaches, the algorithm samples distinct configurations according to…

软凝聚态物质 · 物理学 2009-11-10 Roland Faller , Juan J. de Pablo

The long duration of the COVID-19 pandemic allowed for multiple bursts in the infection and death rates, the so-called epidemic waves. This complex behavior is no longer tractable by simple compartmental model and requires more…

In probability theory and statistics, the IID model represents a single population, and a large, potentially infinite sample from this population. Main theorems, in particular the central limit theorem and laws of large number (LLN) assure…

统计理论 · 数学 2017-10-02 Uwe Saint-Mont

We consider $N$ Bernoulli random variables, which are independent conditional on a common random factor determining their probability distribution. We show that certain expected functionals of the proportion $L_N$ of variables in a given…

数值分析 · 数学 2018-02-15 Karolina Bujok , Ben Hambly , Christoph Reisinger

We demonstrate how a prior assumption of smoothness can be used to enhance the reconstruction of free energy profiles from multiple umbrella sampling simulations using the Bayesian Gaussian process regression approach. The method we derive…

统计力学 · 物理学 2014-07-25 Noam Bernstein , Thomas Stecher , Gábor Csányi

We present new sampling methods in finite population that allow to control the joint inclusion probabilities of units and especially the spreading of sampled units in the population. They are based on the use of renewal chains and…

统计方法学 · 统计学 2017-04-12 Yves Tillé , Lionel Qualité , Matthieu Wilhelm

State abstraction has been an essential tool for dramatically improving the sample efficiency of reinforcement-learning algorithms. Indeed, by exposing and accentuating various types of latent structure within the environment, different…

机器学习 · 计算机科学 2021-06-18 Dilip Arumugam , Benjamin Van Roy

Many networking applications require timely access to recent network measurements, which can be captured using a sliding window model. Maintaining such measurements is a challenging task due to the fast line speed and scarcity of fast…

数据结构与算法 · 计算机科学 2018-04-25 Ran Ben Basat , Gil Einziger , Roy Friedman
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