Theoretical and numerical study of the performance of 'Pincus' optimisation method Online publication date: Mon, 30-Jan-2017
by Majed Chemkhi; Mohamed Jebalia; Azmi Makhlouf
International Journal of Mathematical Modelling and Numerical Optimisation (IJMMNO), Vol. 7, No. 3/4, 2016
Abstract: In this work, we are interested in the numerical and theoretical study of the so called 'Pincus algorithm', which is a stochastic optimisation method. It is based on a representation of the optimum as a limit of a ratio of two expectations, computed using a Monte Carlo approximation. First, we theoretically study the convergence of Pincus algorithm. Then, numerical computations are performed: we show the algorithm advantages and limits, in comparison with other methods in terms of robustness, speed and dependence on the dimension.
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