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1.
A. Žilinskas 《Journal of Global Optimization》1992,2(2):145-153
A review of statistical models for global optimization is presented. Rationality of the search for a global minimum is formulated axiomatically and the features of the corresponding algorithm are derived from the axioms. Furthermore the results of some applications of the proposed algorithm are presented and the perspectives of the approach are discussed. 相似文献
2.
Dijana Šimkūnaitė Emilija Ivaškevič Aleksandras Kaliničenko Antanas Steponavičius 《Journal of Solid State Electrochemistry》2006,10(7):447-457
The early stages of Cu electrodeposition onto Pt(poly) have been investigated in 0.5 M H2SO4 + 0.01 M CuSO4 solution without or with H2SeO3 when a molar concentration ratio [Cu(II)]/[Se(IV)] ≥ 2×102 using electrochemical and ex situ AFM techniques. The overpotential deposition of Cu has been performed onto a Pt surface precovered independently with Cu in amount close to an equivalent monolayer. Chronoamperometric results have been shown to follow an instantaneous 3D nucleation and diffusion-controlled growth model. The values of diffusion coefficient D for Cu2+, number of nuclei N and average nuclei radius r
av have been calculated. In the local regions of the surface, the separate large agglomerates composed of the different diameter clusters have been revealed in both cases, but, in the presence of the H2SeO3, they attained a distinct chain-like configuration. Some morphological characteristics have been reported. 相似文献
3.
We prove a limit theorem in the space of analytic functions for the Hurwitz zeta-function with algebraic irrational parameter. 相似文献
4.
Antanas Laurinčikas 《Siberian Mathematical Journal》2010,51(1):88-103
We prove limit theorems in the sense of weak convergence of probability measures on the complex plane as well as in the space
of analytic functions for the Mellin transform of {ie88-01} 相似文献
5.
The problem of multidimensional scaling with city-block distances in the embedding space is reduced to a two level optimization
problem consisting of a combinatorial problem at the upper level and a quadratic programming problem at the lower level. A
hybrid method is proposed combining randomized search for the upper level problem with a standard quadratic programming algorithm
for the lower level problem. Several algorithms for the combinatorial problem have been tested and an evolutionary global
search algorithm has been proved most suitable. An experimental code of the proposed hybrid multidimensional scaling algorithm
is developed and tested using several test problems of two- and three-dimensional scaling. 相似文献
6.
7.
We consider a box-constrained global optimization problem with a Lipschitz-continuous objective function and an unknown Lipschitz constant. The well known derivative-free global-search DIRECT (DIvide a hyper-RECTangle) algorithm performs well solving such problems. However, the efficiency of the DIRECT algorithm deteriorates on problems with many local optima and when the solution with high accuracy is required. To overcome these difficulties different regimes of global and local search are introduced or the algorithm is combined with local optimization. In this paper we investigate a different direction of improvement of the DIRECT algorithm and propose a new strategy for the selection of potentially optimal rectangles, what does not require any additional parameters or local search subroutines. An extensive experimental investigation reveals the effectiveness of the proposed enhancements. 相似文献
8.
Antanas Laurin?ikas 《Journal of Number Theory》2010,130(10):2323-2331
In 1975, S.M. Voronin proved the universality of the Riemann zeta-function ζ(s). This means that every non-vanishing analytic function can be approximated uniformly on compact subsets of the critical strip by shifts ζ(s+iτ). In the paper, we consider the functions F(ζ(s)) which are universal in the Voronin sense. 相似文献
9.
A hybrid global optimization algorithm is proposed aimed at the class of objective functions with properties typical of the problems of non-linear least squares regression. Three components of hybridization are considered: simplicial partition of the feasible region, indicating and excluding vicinities of the main local minimizers from global search, and computing the indicated local minima by means of an efficient local descent algorithm. The performance of the algorithm is tested using a collection of non-linear least squares problems evaluated by other authors as difficult global optimization problems. 相似文献
10.
The Ramanujan Journal - We use the elliptic regulator to prove an identity between the Mahler measures of a genus 3 polynomial family and of a genus 1 polynomial family that was initially... 相似文献