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Monte Carlo computational methods

Multilevel and quasi Monte Carlo methods for uncertainty quantification in particle travel times through random heterogeneous porous media

Multilevel and quasi Monte Carlo methods for uncertainty quantification in particle travel times through random heterogeneous porous media

... reduction methods built upon pseudo-random sequences, ...overall computational cost of a numerical simulation. QMC methods aim to accelerate the rate of convergence of MC by using deterministic (also ...

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Computational Modeling of Cell Signaling Network Using Hill Function and Markov Chain Monte Carlo Methods.

Computational Modeling of Cell Signaling Network Using Hill Function and Markov Chain Monte Carlo Methods.

... behavior. Circuits of the network are translated into Ordinary Differential Equations (ODE). The initial values are educated guesses from what we know about the biological process. For example we know that the ...

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Some Monte Carlo methods for jump diffusions

Some Monte Carlo methods for jump diffusions

... of Monte Carlo methods we begin by introducing HMMs in Sec- tion ...of computational e ffi ciency) which is a consequence of the recursive nature in which various inferential problems can be ...

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Development of Monte Carlo Methods in Hypersonic Aerodynamics

Development of Monte Carlo Methods in Hypersonic Aerodynamics

... The initial values for the macroparameters are chosen using the conditions of the nonstationary problem or using an initial approximation for the solution of the stationary problem (Step 1). The DSS method can be ...

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Progress of Monte Carlo methods in nuclear physics using EFT-based NN interaction and in hypernuclear systems.

Progress of Monte Carlo methods in nuclear physics using EFT-based NN interaction and in hypernuclear systems.

... higher ones also Λ hyperons become present. As clear from Fig. 9.5 an accurate knowledge of the EOS including hyperons could be very important to compare different models and astrophysical observations. From the figure ...

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Quasi Monte Carlo and multilevel Monte Carlo methods for computing posterior expectations in elliptic inverse problems

Quasi Monte Carlo and multilevel Monte Carlo methods for computing posterior expectations in elliptic inverse problems

... As a particular example, we consider the model inverse problem of determining the distribution of the diffusion coefficient of a divergence form elliptic partial differential equation (PDE) from ob- servations of a ...

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Statistical computation with kernels

Statistical computation with kernels

... the Monte Carlo literature, whilst Hoffman et ...consider methods to summarise large datasets with a subset of representative weighted ...the computational cost associated with evaluating ...

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Some comments on Monte Carlo and molecular dynamics methods

Some comments on Monte Carlo and molecular dynamics methods

... sampling methods that are intermediate in some sense between Monte Carlo and molecular dynam- ...little Monte Carlo into a molecular dynamics ...of methods of this kind, as the ...

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On Markov chain Monte Carlo methods for tall data

On Markov chain Monte Carlo methods for tall data

... chain Monte Carlo methods are often deemed too computationally intensive to be of any practical use for big data applications, and in particular for inference on datasets containing a large number n ...

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Monte Carlo methods for adaptive sparse approximations of time series

Monte Carlo methods for adaptive sparse approximations of time series

... sampling methods, we used the subset selection procedure described in ...thresholding methods, this method calculates the correlation between the signal and all features and then selects the subset based on ...

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Computational complexity analysis for Monte Carlo approximations of classically scaled population processes

Computational complexity analysis for Monte Carlo approximations of classically scaled population processes

... unified computational complexity analysis for a range of Monte Carlo based ...current methods in a practically relevant asymptotic ...multilevel Monte Carlo (since it is not ...

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Mean exit times and the multilevel Monte Carlo method

Mean exit times and the multilevel Monte Carlo method

... Numerical methods for stochastic differential equations are relatively inefficient when used to ap- proximate mean exit ...a Monte Carlo simulation leads to a computationally expensive ...expected ...

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Multilevel Monte Carlo for stochastic differential equations with small noise

Multilevel Monte Carlo for stochastic differential equations with small noise

... standard Monte Carlo methods combined with numerical discretiza- tion algorithms tailored to the small noise setting, and (ii) a multilevel Monte Carlo method combined with a standard ...

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Stochastic free vibration analysis of RC buildings

Stochastic free vibration analysis of RC buildings

... analysis methods can represent this randomness in responses. Methods: The Monte Carlo Simulation is a widely accepted method for stochastic structural analysis but the computational ...

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Monte Carlo methods

Monte Carlo methods

... relation function for t ≥ 0 should look like a rapidly decreasing exponential starting at 1 and going to 0, as in Figure 7(b). If not, then one can thin the chain, i.e., keep only one sample every other 10 or higher if ...

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Ultra-fast Carrier Transport Simulation on the Grid. Quasi-Random Approach

Ultra-fast Carrier Transport Simulation on the Grid. Quasi-Random Approach

... The Monte Carlo Methods for quantum transport in semiconductors and semiconductor devices have been actively developed during the last two decades [3, 10, 16, 20, ...These Monte Carlo ...

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On extended state space constructions for monte carlo methods

On extended state space constructions for monte carlo methods

... In this chapter, we develop algorithms for conducting inference in discretely observed piecewise deterministic processes. This class of models is defined in Section 4.2 where we also provide motivating examples. Section ...

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Information geometric Markov chain Monte Carlo methods using diffusions

Information geometric Markov chain Monte Carlo methods using diffusions

... Metropolis–Hastings methods in which proposal kernels have a position-dependent covariance ...position-dependent methods can often be viewed as methods defined on a manifold and that studying the ...

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Accelerating MCMC algorithms

Accelerating MCMC algorithms

... Modern computational architectures are built with several computing units that allow for parallel processing, either fully inde- pendent or with certain ...MCMC methods (O-MCMC) is proposed in Martino, ...

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Efficient use of Monte Carlo: the fast correlation coefficient

Efficient use of Monte Carlo: the fast correlation coefficient

... sampling methods are used for nuclear data (ND) uncertainty propagation, often in combination with the use of Monte Carlo codes ...Total Monte Carlo (TMC) ...

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