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Table of Contents
What are Monte-Carlo methods?
General concepts
Applications
Simple examples
Generation of random variables
Random-number generators
Transformation method
Rejection method
Quasi-random sequences
Markov chains Monte-Carlo
Markov chains
Markov chains Monte-Carlo
Metropolis-Hastings MCMC
Error estimation
Error distribution
Error propagation
Resampling methods: bootstrap
Numerical integration
Monte-Carlo algorithm
Stratified sampling
Importance sampling
Optimization
Stochastic optimization
Swarm intelligence
Genetic algorithms
Simulated annealing