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Computing systems interacting with real-world processes must safely and reliably process uncertain data. The Monte Carlo method is a popular approach for computing with such uncertain values. This article introduces a framework for…

A Monte Carlo method to optimize cuts on variables is presented and evaluated. The method gives a much higher signal to noise ratio than does a manual choice of cuts.

高能物理 - 唯象学 · 物理学 2007-12-21 Erik Elfgren

Observations of gravitational waves emitted by merging compact binaries have provided tantalising hints about stellar astrophysics, cosmology, and fundamental physics. However, the physical parameters describing the systems, (mass, spin,…

天体物理仪器与方法 · 物理学 2023-09-29 Colm Talbot , Jacob Golomb

We describe a Monte Carlo procedure which allows sampling of the disjoint configuration spaces associated with crystalline and fluid phases, within a single simulation. The method utilises biased sampling techniques to enhance the…

统计力学 · 物理学 2009-10-31 N. B. Wilding , A. D. Bruce

Particle deposition in fully-developed turbulent pipe flow is quantified taking into account uncertainty in electric charge, van der Waals strength, and temperature effects. A framework is presented for obtaining variance-based sensitivity…

流体动力学 · 物理学 2024-03-28 Yuan Yao , Xun Huan , Jesse Capecelatro

Among the various options to estimate uncertainty in deep neural networks, Monte-Carlo dropout is widely popular for its simplicity and effectiveness. However the quality of the uncertainty estimated through this method varies and choices…

机器学习 · 计算机科学 2021-07-14 Francesco Verdoja , Ville Kyrki

This paper presents a framework for the representation of uncertainty in the estimates for software design projects for use throughout the entire project lifecycle. The framework is flexible in order to accommodate uncertainty in the…

软件工程 · 计算机科学 2016-06-21 Andy M. Connor

In this proceedings I discuss the general strategy and impact of tuning Monte-Carlo event generators for physics processes involving top quarks. Special emphasis is put on disinguishing the different usages of event generators in the…

高能物理 - 唯象学 · 物理学 2019-01-16 Marek Schönherr

In this paper we introduce and discuss numerical schemes for the approximation of kinetic equations for flocking behavior with phase transitions that incorporate uncertain quantities. This class of schemes here considered make use of a…

数值分析 · 数学 2019-10-31 Jose Antonio Carrillo , Mattia Zanella

Importance sampling Monte-Carlo methods are widely used for the approximation of expectations with respect to partially known probability measures. In this paper we study a deterministic version of such an estimator based on quasi-Monte…

统计计算 · 统计学 2024-12-20 Josef Dick , Daniel Rudolf , Houying Zhu

We quantify uncertainties in the location and magnitude of extreme pressure spots revealed from large scale multi-phase flow simulations of cloud cavitation collapse. We examine clouds containing 500 cavities and quantify uncertainties…

计算工程、金融与科学 · 计算机科学 2017-11-09 Jonas Šukys , Ursula Rasthofer , Fabian Wermelinger , Panagiotis Hadjidoukas , Petros Koumoutsakos

Probabilistic prediction of sequences from images and other high-dimensional data is a key challenge, particularly in risk-sensitive applications. In these settings, it is often desirable to quantify the uncertainty associated with the…

机器学习 · 计算机科学 2024-10-31 Qidong Yang , Weicheng Zhu , Joseph Keslin , Laure Zanna , Tim G. J. Rudner , Carlos Fernandez-Granda

A typical experiment in high energy physics is considered. The result of the experiment is assumed to be a histogram consisting of bins or channels with numbers of corresponding registered events. The expected background and expected signal…

数据分析、统计与概率 · 物理学 2017-01-03 I. B. Smirnov

Pixel-space full spectrum fitting exploiting non-linear $\chi^2$ minimization became a \emph{de facto} standard way of deriving internal kinematics from absorption line spectra of galaxies and star clusters. However, reliable estimation of…

天体物理仪器与方法 · 物理学 2020-04-29 Igor V. Chilingarian , Kirill A. Grishin

We study an optimal control problem under uncertainty, where the target function is the solution of an elliptic partial differential equation with random coefficients, steered by a control function. The robust formulation of the…

Multi-arm multi-stage trial designs can bring notable gains in efficiency to the drug development process. However, for normally distributed endpoints, the determination of a design typically depends on the assumption that the patient…

统计方法学 · 统计学 2017-10-11 Michael Grayling , James Wason , Adrian Mander

Kinetic equations play a major rule in modeling large systems of interacting particles. Uncertainties may be due to various reasons, like lack of knowledge on the microscopic interaction details or incomplete informations at the boundaries.…

数值分析 · 数学 2019-05-01 Giacomo Dimarco , Lorenzo Pareschi

In construction projects, contingency reserves have traditionally been estimated based on a percentage of the total project cost, which is arbitrary and, thus, unreliable in practical cases. Monte Carlo simulation provides a more reliable…

应用统计 · 统计学 2024-06-07 David Curto , Fernando Acebes , Jose M Gonzalez-Varona , David Poza

We present the MCscales approach for incorporating scale uncertainties in parton distribution functions (PDFs). The new methodology builds on the Monte Carlo sampling for propagating experimental uncertainties into the PDF space that…

高能物理 - 唯象学 · 物理学 2023-03-27 Zahari Kassabov , Maria Ubiali , Cameron Voisey

Consider a real-valued function that can only be observed with stochastic noise at a finite set of design points within a Euclidean space. We wish to determine whether there exists a convex function that goes through the true function…

其他统计学 · 统计学 2018-07-30 Nanjing Jian , Shane G. Henderson
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