We propose an entirely novel family of score functions for blind signal separation BSS , based on the family of mixture generalized gamma density which includes generalized gamma, Weilbull, gamma, and Laplace and Gaussian probability density functions. To blindly extract the independent source signals, we resort to the FastICA approach, whilst to adaptively estimate the parameters of such score...

1 A Simplex Nelder Mead Genetic Algorithm for Minimizing Molecular Potential Energy Function . . . . . . . . . . . . . . . . . . . . . . 1 Ahmed Fouad Ali and Aboul-Ella Hassanien 1.

In the mid-1960s, two English statisticians working at the National Vegetable Research Station invented the Nelder–Mead “simplex” direct search method. The method emerged at a propitious time, when there was great and growing interest in computer solution of complex nonlinear real-world optimization problems. Because obtaining first derivatives of the function f to be optimized was frequently i...

G.E.P. Box’s seminal suggestions for Evolutionary Operation led other statisticians to propose algorithms for numerical optimization that rely exclusively on the direct comparison of function values. These contributions culminated in the development of the widely used simplex algorithm of Nelder and Mead. Recent examination of these popular methods by the numerical optimization community has pr...

The Nelder–Mead algorithm, a longstanding direct search method for unconstrained optimization published in 1965, is designed to minimize a scalar-valued function f of n real variables using only function values, without any derivative information. Each Nelder–Mead iteration is associated with a nondegenerate simplex defined by n+ 1 vertices and their function values; a typical iteration produce...

We propose a pioneering approach that integrates optimization algorithms and technology computer-aided design to automatically optimize laterally-diffused metal-oxide-semiconductors (LDMOS) with field-oxide structure. define the ratio of square breakdown voltage divided by specific on-resistance as figure-of-merit (FOM) objective function our optimization. compare performance three different al...

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The DNA microarray technology concurrently monitors the expression levels of thousands of genes during significant biological processes and across the related samples. The better understanding of functional genomics is obtained by extracting the patterns hidden in gene expression data. It is handled by clustering which reveals natural structures and identify interesting patterns in the underlyi...

One of the fundamental difficulties in engineering design is the multiplicity of local solutions. This has triggered great efforts to develop global search algorithms. Globality, however, often has a prohibitively high numerical cost for real problems. A fixed cost local search, which sequentially becomes global is developed. Globalization is achieved by probabilistic restart. A spacial probabi...