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Monte Carlo and Latin Hypercube sampling schemes

Sample Size Requierement for Monte Carlo - simulations using Latin Hypercube Sampling

Sample Size Requierement for Monte Carlo - simulations using Latin Hypercube Sampling

... for latin hypercube sampling, where the sample size should be known ...the latin hypercube samples were closer to the real value for each ...

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Modified Latin Hypercube Sampling Monte Carlo (MLHSMC) Estimation for Average Quality Index

Modified Latin Hypercube Sampling Monte Carlo (MLHSMC) Estimation for Average Quality Index

... Key Words: Monte Carlo estimation, Latin hypercube sampling, average quality index. I. Introduction During the past decade, the feature sizes of VLSI devices have been scaled down ...

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Latin Hypercube Sampling Monte Carlo Estimation of Average Quality Index for Integrated Circuits

Latin Hypercube Sampling Monte Carlo Estimation of Average Quality Index for Integrated Circuits

... The Monte Carlo method exhibits generality and insensitivity to the number of stochastic variables, but is expensive for accurate Average Quality Measure (AQI) or Parametric Yield estimation of MOS VLSI ...

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Latin hypercube sampling with dependence and applications in finance

Latin hypercube sampling with dependence and applications in finance

... Latin hypercube sampling with dependence and applications in finance Natalie Packham and Wolfgang ...In Monte Carlo simulation, Latin hypercube sampling (LHS) ...

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Wrap-Around L2-Discrepancy of Random Sampling, Latin Hypercube and Uniform Designs

Wrap-Around L2-Discrepancy of Random Sampling, Latin Hypercube and Uniform Designs

... Key Words: Latin hypercube design; quasi Monte-Carlo methods; threshold accepting heuristic; uniform design; wrap-around discrepancy. 1. INTRODUCTION In an experiment with n runs and s factors ...

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Aether: An Embedded Domain Specific Sampling Language for Monte Carlo Rendering

Aether: An Embedded Domain Specific Sampling Language for Monte Carlo Rendering

... sampling schemes. Examples include direct light source importance sampling in the bidirectional path tracer and the tridi- rectional path ...the sampling code and the generated PDF code, and ...

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The Markov chain Monte Carlo approach to importance sampling in stochastic programming

The Markov chain Monte Carlo approach to importance sampling in stochastic programming

... importance sampling framework such as MCMC-IS, or applied to solve SP ...Quasi-Monte Carlo methods were studied in [21] and in [10]; control variates were proposed in [37] and in [16]; a sequential ...

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A Hybrid Monte Carlo Sampling Filter for Non-Gaussian Data Assimilation

A Hybrid Monte Carlo Sampling Filter for Non-Gaussian Data Assimilation

... in sampling algorithms make it feasible to solve inverse problems with large models by directly sampling from the posterior probability ...DA schemes. The approach is based on applying HMC ...

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Stochastic comparisons of stratied sampling techniques for some Monte Carlo estimators

Stochastic comparisons of stratied sampling techniques for some Monte Carlo estimators

... In this paper we will compare estimators with respect to different stratified sampling schemes, and will show that, generally speaking, refining stratification leads to an improvement of estimators. We ...

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Stationarity Diagnostics for Monte Carlo Problems that Utilize Source Acceleration Schemes

Stationarity Diagnostics for Monte Carlo Problems that Utilize Source Acceleration Schemes

... INTRODUCTION Monte Carlo methods provide an accurate way of solving the neutron transport equation to model the neutron flux and power distributions within nuclear ...the Monte Carlo tallies ...
Numerical schemes and Monte Carlo techniques for Greeks in stochastic volatility models

Numerical schemes and Monte Carlo techniques for Greeks in stochastic volatility models

... Over the past 20 years there has been an explosion in the number of particle filtering techniques [DJ08, CGM07]. Those methods include Sequential Importance Resampling (SIR) and smoothing [GSS93]. There have been various ...

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Monte Carlo Sampling Methods

Monte Carlo Sampling Methods

... • Random number generator - a source of random numbers uniformly distributed on the unit interval must be available. • Sampling rule - a prescription for sampling from the specified pdf, assuming the ...

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An extended latin hypercube sampling approach for CAD model generation

An extended latin hypercube sampling approach for CAD model generation

... perform sampling for constrained ...uniform sampling in the design space, a heuristic method based on the uniform finite element meshes was ...dimensional sampling problems more than ...

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An extended latin hypercube sampling approach for CAD model generation

An extended latin hypercube sampling approach for CAD model generation

... perform sampling for constrained ...uniform sampling in the design space, a heuristic method based on the uniform finite element meshes was ...dimensional sampling problems more than ...

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Optimised Importance Sampling in Multilevel Monte Carlo

Optimised Importance Sampling in Multilevel Monte Carlo

... Importance Sampling estimator is ...Importance Sampling respectively. Without Importance Sampling, the estimated Weak Error is simply the exact value V ...Importance Sampling provides an ...

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Monte Carlo sampling approach to stochastic
programming

Monte Carlo sampling approach to stochastic programming

... Abstract . Various stochastic programming problems can be formulated as problems of optimization of an expected value function. Quite often the corresponding expectation function cannot be computed exactly and should be ...

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Adaptive Strategy for Stratified Monte Carlo Sampling

Adaptive Strategy for Stratified Monte Carlo Sampling

... stratified sampling, that is, it targets an allocation which is proportional to the standard deviation (and not to the variance) of a stratum times its size, see the book of Rubinstein and Kroese (2008) and also ...

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Monte Carlo MCMC: Efficient Inference by Approximate Sampling

Monte Carlo MCMC: Efficient Inference by Approximate Sampling

... [email protected] Abstract Conditional random fields and other graphi- cal models have achieved state of the art re- sults in a variety of tasks such as coreference, relation extraction, data integration, and pars- ...

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Adaptive Monte Carlo Sampling for Cloud and Microphysics Calculations

Adaptive Monte Carlo Sampling for Cloud and Microphysics Calculations

... The first criterion makes sure that the PDFs of the reference and current time step are valid and that their densities exist. Not all variates of the multivariate normal distribution are present at all times. For ...

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Fourier Analysis of Correlated Monte Carlo Importance Sampling

Fourier Analysis of Correlated Monte Carlo Importance Sampling

... importance sampling according to different PDFs can move some discontinuities to the boundary of the integration domain, where their presence does not impact con- vergence ...other sampling strategies, ...

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