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Abstract: An important problem in bioinformatics is the inference of gene regulatory networks (GRN) from temporal expression profiles. In general, the main limitations faced by GRN inference methods i...
Convergence properties of trust-region methods for unconstrained nonconvex optimization is considered in the case where information on the objective function's local curvature is incomplete, in the...
2007Vol.47No.2pp.369-373DOI: Study Under AC Stimulation on Excitement Properties of Weighted Small-World Biological Neural Networks with Side-Restrain Mechanism YUAN Wu-Jie,1,2 LU...
In this paper, a new region of βk with respect to βkPRP is given. With two Armijo-type line searches, the authors investigate the global convergence properties of the dependent PRP conjugate gradient ...
In this paper, a necessary condition for the existence of any weakly consistent estimator is presented in exponential family nonlinear models. Then we give one more necessary condition for a consisten...
In this paper, we investigate the convergence property of the conjugate gradient algorithms which depend on the search directionsd_1=-g_1, d_{k+1}=-g_{k+1}+\beta_k d_k ,k\geq 1, by using different cho...
Although many effective algorithms of the gradient projection type have been proposed for nonlinear programming with nonlinear constraints (see [1-9]), these algorithms must require a regular assumpti...
This paper has obtained that the cubic system ...(1) is topologically equivalent to the general quadratic system. By the use of this property, wecan derive the conditions of a unique limit cycle and t...
This paper presents a new conjugate gradient method for unconstrained optimization. This method reduces to the Polak-Ribiere-Polyak method when line searches are exact. But their performances are diff...
In this paper we give weaker conditions to ensure the strong uniform consis-tency of multi-dimensional nearest neighbor (N.N.) estimates with non-uniform kernel and obtain the convergence rates of the...
Let (X,Y) be a pair of R~d×R~1-valued random variables. In thispaper we investigate the asymptotic properties of the L_1-norm kernel estimator of the conditional median function of Y on X. Under appro...
Let G be the base graph with n vertices of any matroid. It is proved that for any two vertices of G there are at least r internally disjoint shortest paths joining them where r is their distance. Furt...

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