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We propose and analyze a method for computing failure probabilities of systems modeled as numerical deterministic models (e.g., PDEs) with uncertain input data. A failure occurs when a functional of the solution to the model is below (or…

Numerical Analysis · Mathematics 2016-06-21 Daniel Elfverson , Fredrik Hellman , Axel Målqvist

Hedging methods to mitigate the exposure of variable annuity products to market risks require the calculation of market risk sensitivities (or "Greeks"). The complex, path-dependent nature of these products means these sensitivities…

Risk Management · Quantitative Finance 2011-10-21 Mark J. Cathcart , Steven Morrison , Alexander J. McNeil

In this article, we discuss the optimal allocation problem in an experiment when a regression model is used for statistical analysis. Monotonic convergence for a general class of multiplicative algorithms for $D$-optimality has been…

Computation · Statistics 2013-10-28 Wei Gao , Ping Shing Chan , Hon Keung Tony Ng , Xiaolei Lu

Bottlenecks are one of the controversial issues in manufacturing companies. Managers and designers attempt to manage this trouble to improve efficiency in different ways. For example, expanding capacity is a prevalent solution to get rid of…

Optimization and Control · Mathematics 2023-04-06 Amir Jamali , Amirhossein Ranjbar , Ali Bozorgi-Amiri

We show that deliberately introducing a nested simulation stage can lead to significant variance reductions when comparing two stopping times by Monte Carlo. We derive the optimal number of nested simulations and prove that the algorithm is…

Computational Finance · Quantitative Finance 2014-02-04 Fabian Dickmann , Nikolaus Schweizer

We investigate Monte Carlo based algorithms for solving stochastic control problems with probabilistic constraints. Our motivation comes from microgrid management, where the controller tries to optimally dispatch a diesel generator while…

Optimization and Control · Mathematics 2024-02-06 Alessandro Balata , Michael Ludkovski , Aditya Maheshwari , Jan Palczewski

Interactive cognitive assessment tools may be valuable for doctors and therapists to reduce costs and improve quality in healthcare systems. Use cases and scenarios include the assessment of dementia. In this paper, we present our approach…

Human-Computer Interaction · Computer Science 2018-10-12 Daniel Sonntag

Several Monte Carlo algorithms and applications that are useful for understanding the concepts of temperature and chemical potential are discussed. We then introduce a generalization of the demon algorithm that measures the chemical…

Physics Education · Physics 2009-11-10 Jan Tobochnik , Harvey Gould , Jonathan Machta

In recent years dynamical systems (of deterministic and stochastic nature), describing many models in mathematics, physics, engineering and finances, become more and more complex. Numerical analysis narrowed only to deterministic algorithms…

Numerical Analysis · Mathematics 2024-02-13 Paweł Przybyłowicz

Scenarios are pen-pictures of plausible futures, used for strategic planning. The aim of this investigation is to expand the horizon of scenario-based planning through computational models that are able to aid the analyst in the planning…

Neural and Evolutionary Computing · Computer Science 2009-07-06 Hussein Abbass , Axel Bender , Helen Dam , Stephen Baker , James M Whitacre , Ruhul Sarker

Monte Carlo (MC) method has been recognized the most accurate dose calculation method for radiotherapy. However, its extremely long computation time impedes clinical applications. Recently, a lot of efforts have been made to realize fast MC…

Medical Physics · Physics 2017-02-08 Zhen Tian , Feng Shi , Michael Folkerts , Nan Qin , Steve B. Jiang , Xun Jia

Probability Theory and Statistics are two of the most useful mathematical fields, and also two of the most difficult to learn. In other science fields, as Physics, experimentation is an useful tool to develop students intuition, but the…

Physics Education · Physics 2014-04-08 FM Alexander Bueno , Daniel Manzano

INTRODUCTION: Advanced machine learning methods might help to identify dementia risk from neuroimaging, but their accuracy to date is unclear. METHODS: We systematically reviewed the literature, 2006 to late 2016, for machine learning…

The algorithm for Monte Carlo simulation of parton-level events based on an Artificial Neural Network (ANN) proposed in arXiv:1810.11509 is used to perform a simulation of $H\to 4\ell$ decay. Improvements in the training algorithm have been…

High Energy Physics - Phenomenology · Physics 2021-02-03 I-Kai Chen , Matthew D. Klimek , Maxim Perelstein

We present an overview of the variational and diffusion quantum Monte Carlo methods as implemented in the CASINO program. We particularly focus on developments made in the last decade, describing state-of-the-art quantum Monte Carlo…

Computational Physics · Physics 2025-12-24 R. J. Needs , M. D. Towler , N. D. Drummond , P. Lopez Rios , J. R. Trail

Monte Carlo experiments produce samples in order to estimate features of a given distribution. However, simultaneous estimation of means and quantiles has received little attention, despite being common practice. In this setting we…

Computation · Statistics 2020-04-24 Nathan Robertson , James M. Flegal , Dootika Vats , Galin L. Jones

Any search or sampling algorithm for solution of inverse problems needs guidance to be efficient. Many algorithms collect and apply information about the problem on the fly, and much improvement has been made in this way. However, as a…

Geophysics · Physics 2021-05-19 Sarouyeh Khoshkholgh , Andrea Zunino , Klaus Mosegaard

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…

Methodology · Statistics 2017-10-11 Michael Grayling , James Wason , Adrian Mander

Synthesizing realistic images involves computing high-dimensional light-transport integrals. In practice, these integrals are numerically estimated via Monte Carlo integration. The error of this estimation manifests itself as conspicuous…

Graphics · Computer Science 2022-04-06 Vassillen Chizhov , Iliyan Georgiev , Karol Myszkowski , Gurprit Singh

Automated recommendations can nowadays be found on many e-commerce platforms, and such recommendations can create substantial value for consumers and providers. Often, however, not all recommendable items have the same profit margin, and…

Social and Information Networks · Computer Science 2022-09-12 Nada Ghanem , Stephan Leitner , Dietmar Jannach