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R. Oeuvary and M. Bierlaire, “A New Derivative-Free Algorithm for the Medical Image Registration Problem,” International Journal of Modelling and Simulation, Vol. 27, No. 2, 2007, pp. 115-124.

has been cited by the following article:

• TITLE: A Derivative-Free Optimization Algorithm Using Sparse Grid Integration

  AUTHORS: Shengyuan Chen, Xiaogang Wang

  KEYWORDS: Nonlinear Programming; Derivative Free Optimization; Sparse Grid Numerical Integration; Conditional Moment

  JOURNAL NAME: American Journal of Computational Mathematics, Vol.3 No.1, March 27, 2013

  ABSTRACT: We present a new derivative-free optimization algorithm based on the sparse grid numerical integration. The algorithm applies to a smooth nonlinear objective function where calculating its gradient is impossible and evaluating its value is also very expensive. The new algorithm has: 1) a unique starting point strategy; 2) an effective global search heuristic; and 3) consistent local convergence. These are achieved through a uniform use of sparse grid numerical integration. Numerical experiment result indicates that the algorithm is accurate and efficient, and benchmarks favourably against several state-of-art derivative free algorithms.