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Bayesian inference often requires integrating some function with respect to a posterior distribution. Monte Carlo methods are sampling algorithms that allow to compute these integrals numerically when they are not analytically tractable.
Bardenet Rémi
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In this work we describe the development and application of computational methods for processing neutron cross section data in the unresolved resonance region (URR). These methods are integrated with a continuous-energy Monte Carlo neutron transport code,
Walsh Jonathan A. +3 more
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The road to a modernized NJOY [PDF]
The modernized version of the NJOY Nuclear Data Processing System is being built from a series of components that enable the traditional work required of the production version of NJOY while also providing a much more interactive user experience through ...
Haeck Wim +3 more
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A New Monte Carlo Method for Time-Dependent Neutrino Radiation Transport [PDF]
Monte Carlo approaches to radiation transport have several attractive properties compared to deterministic methods. These include simplicity of implementation, high accuracy, and good parallel scaling.
Adam Burrows +51 more
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Multilevel Monte Carlo methods [PDF]
Monte Carlo methods are a very general and useful approach for the estimation of expectations arising from stochastic simulation. However, they can be computationally expensive, particularly when the cost of generating individual stochastic samples is very high, as in the case of stochastic PDEs.
openaire +3 more sources
Numerical approximation of statistical solutions of scalar conservation laws
We propose efficient numerical algorithms for approximating statistical solutions of scalar conservation laws. The proposed algorithms combine finite volume spatio-temporal approximations with Monte Carlo and multi-level Monte Carlo discretizations of ...
Barrett, Paul M. +5 more
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Monte Carlo methods for TMD analyses
Monte Carlo simulations are an indispensable tool in experimental high-energy physics. Indeed, many discoveries rely on realistic modeling of background processes.
Schnell Gunar
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Monte Carlo Methods and the Koksma-Hlawka Inequality
The solution of a wide class of applied problems can be represented as an integral over the trajectories of a random process. The process is usually modeled with the Monte Carlo method and the integral is estimated as the average value of a certain ...
Sergey Ermakov, Svetlana Leora
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Extending canonical Monte Carlo methods II [PDF]
Previously, we have presented a methodology to extend canonical Monte Carlo methods inspired on a suitable extension of the canonical fluctuation relation $C=\beta^{2}$ compatible with negative heat capacities ...
Challa M S S +10 more
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Bayesian statistics and Monte Carlo methods
The Bayesian approach allows an intuitive way to derive the methods of statistics. Probability is defined as a measure of the plausibility of statements or propositions. Three rules are sufficient to obtain the laws of probability.
Koch K. R.
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