ACM Transactions on Mathematical Software (TOMS)
Lipschitzian optimization without the Lipschitz constant
Journal of Optimization Theory and Applications
Algorithm 897: VTDIRECT95: Serial and parallel codes for the global optimization algorithm direct
ACM Transactions on Mathematical Software (TOMS)
Direct search versus simulated annealing on two high dimensional problems
Proceedings of the 19th High Performance Computing Symposia
Direct search and stochastic optimization applied to two nonconvex nonsmooth problems
Proceedings of the 2012 Symposium on High Performance Computing
Parallel deterministic and stochastic global minimization of functions with very many minima
Computational Optimization and Applications
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The results of two global optimization algorithms applied to an optimization problem in biomechanics are presented. Of interest is the discovery of the minimum value of an objective function derived from certain performance criteria related to a problem in biomechanics---specifically, a biomedical application called perturbation-based balance training (PBBT). PBBT is a method for improving balance through repeated exposure to postural perturbations. A parallel implementations of Spall's algorithm and a parallel implementation of the DIRECT (DIviding RECTangles) algorithm is applied to this optimization problem.