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Stochastic Methods: Monte Carlo

Multi-level Monte Carlo methods with the truncated Euler-Maruyama scheme for stochastic differential equations

Multi-level Monte Carlo methods with the truncated Euler-Maruyama scheme for stochastic differential equations

... Multilevel Monte Carlo implementation for SDEs driven by truncated stable processes, in Monte Carlo and Quasi-Monte Carlo Methods, ...of Stochastic Methods ...

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Multilevel Monte Carlo methods for stochastic elliptic multiscale PDEs

Multilevel Monte Carlo methods for stochastic elliptic multiscale PDEs

... multilevel Monte Carlo method with the recently developed Finite Element Hierarchic Multiscale method results in a discretization scheme which allows the efficient numerical estimation of the ensemble ...

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Monte Carlo and Empirical Methods for Stochastic Inference (MASM11/FMS091)

Monte Carlo and Empirical Methods for Stochastic Inference (MASM11/FMS091)

... Example 1: Simulation of extreme events Example 2: Estimation in general HMMs Example 3: Estimation of SAWs.. Lecture 5 Sequential Monte Carlo methods I February 3, 2015 2..[r] ...

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Adaptive Multilevel Monte Carlo Methods for Stochastic Variational Inequalities

Adaptive Multilevel Monte Carlo Methods for Stochastic Variational Inequalities

... While stochastic Galerkin ap- proaches ...as methods of choice for low dimensional uncertainties, Monte Carlo (MC) type of methods prove advantageous for high di- mensional, highly ...

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Multilevel Monte-Carlo methods applied to the stochastic analysis of aerodynamic problems

Multilevel Monte-Carlo methods applied to the stochastic analysis of aerodynamic problems

... MC methods for the stochastic analysis of industrial problems with complex geometries and a high number of ...MC methods with a surrogate or approximate model, which allows a cheaper evaluation of ...

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Kernel methods for Monte Carlo

Kernel methods for Monte Carlo

... Somewhat surprisingly, however, these relatively large costs do not severely impact the runtime efficiency in practice. The reason is that in the context of intractable likelihoods, the computational cost of fitting a ...

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Multilevel Monte Carlo finite element methods for stochastic elliptic variational inequalities

Multilevel Monte Carlo finite element methods for stochastic elliptic variational inequalities

... Section 4 first addresses the convergence analysis of a stochastic finite element approximation of the pathwise variational formulation of 1.4 together with the analysis of convergence and[r] ...

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Genetic Algorithm Sequential Monte Carlo Methods For Stochastic Volatility And Parameter Estimation

Genetic Algorithm Sequential Monte Carlo Methods For Stochastic Volatility And Parameter Estimation

... Abstract- Particle filters are an important class of online posterior density estimation algorithms. In this paper we propose a real coded genetic algorithm particle filter (RGAPF) for the dual estimation of ...

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Quasi-Monte Carlo methods for linear two-stage stochastic programming problems

Quasi-Monte Carlo methods for linear two-stage stochastic programming problems

... the date of receipt and acceptance should be inserted later Abstract Quasi-Monte Carlo algorithms are studied for generating scenarios to solve two-stage linear stochastic programming problems. Their ...

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Stochastic gradient Markov chain Monte Carlo

Stochastic gradient Markov chain Monte Carlo

... scalable Monte Carlo algorithms. Broadly speaking, these new Monte Carlo techniques achieve computational efficiency by either parallelising the MCMC scheme, or by subsampling the ...

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Monte Carlo sampling approach to stochastic
programming

Monte Carlo sampling approach to stochastic programming

... Various stochastic programming problems can be formulated as problems of optimization of an expected value ...by Monte Carlo sampling ...applications, Monte Carlo simulation is the only ...

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Monte Carlo methods in derivative modelling

Monte Carlo methods in derivative modelling

... our stochastic volatility models to the market implied volatility ...two stochastic volatility models calibrate to the same market vanilla option prices, they can still misprice other exotic instruments ...

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Monte-Carlo Methods for Risk Management

Monte-Carlo Methods for Risk Management

... Glasserman’s Monte-Carlo Methods in Financial Engineering (2004) for further applications of importance and stratified sampling to credit risk and the estimation of risk measures in both light- and ...

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Bayesian Inference for Stochastic Epidemic Models using Markov chain Monte Carlo Methods

Bayesian Inference for Stochastic Epidemic Models using Markov chain Monte Carlo Methods

... infectious disease data. The Features of Infectious Disease Data One of the complications when analysing infectious disease data is that there are often various levels of inherent dependence that one needs to take into ...

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Multi level Monte Carlo methods for the approximation of invariant measures of stochastic differential equations

Multi level Monte Carlo methods for the approximation of invariant measures of stochastic differential equations

... In summary, the main contributions of this paper are: 1. Extension of the MLMC framework to the time interval [0, ∞) for (2) when U is strongly concave. 2. A convergence theorem that allows the estimation of the MLMC ...

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Development of Monte Carlo Methods in Hypersonic Aerodynamics

Development of Monte Carlo Methods in Hypersonic Aerodynamics

... of Monte Carlo methods in the computational aerodynamics and application of these methods in rarefied fields are described in the present ...computational methods is impossible without ...

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Monte Carlo Methods and Models in Finance and Insurance

Monte Carlo Methods and Models in Finance and Insurance

... 103 4.3 The Monte Carlo method for stochastic processes 107 4.3.1 Monte Carlo and stochastic processes 107 4.3.2 Simulating paths of stochastic processes: Basics... 135 4.6 Stochastic di[r] ...

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Sequential Monte Carlo methods for epidemic data

Sequential Monte Carlo methods for epidemic data

... of stochastic models continued, for example Bailey and Thomas (1971) considered stochastic models, utilising maximum likelihood (ML) methods to estimate the rate of infection and removal, with an ...

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Distributional Monte Carlo Methods for the Boltzmann Equation

Distributional Monte Carlo Methods for the Boltzmann Equation

... ABSTRACT Stochastic particle methods (SPMs) for the Boltzmann equation, such as the Direct Simulation Monte Carlo (DSMC) technique, have gained popularity for the prediction of flows in which ...

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Variance Reduction Techniques in Monte Carlo Methods

Variance Reduction Techniques in Monte Carlo Methods

... successfully in a variety of simulation areas, such as stochastic operations research, statistics, Bayesian statistics, econometrics, nance, systems biology; see Rubino and Tuf n (2009). This section will show ...

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