Abstract
This chapter presents the Monte Carlo methods based on the stochastic (probabilistic) approach to the inversion. The advantage of the Monte Carlo-type methods is that they can be applied for solving the global minimization problem for the misfit functional with multiple local minima. We will discuss both the basic stochastic methods based on extensive random search in the space of the model parameters and the advanced global optimization algorithms. These methods include the classical Monte Carlo methods, as well as the simulated annealing and genetic algorithms.
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