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An adaptive multi-scale kriging framework with committee-based infill for engineering design optimization. [PDF]
Xie H, Zhong Q, Zeng W.
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Research on the Stability Model in Discrete Dynamical Systems with the Lorenz Attractor and the Kropotov-Pakhomov Neural Network. [PDF]
Gospodinova EA.
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Jackknifing fixed points of iterations
Biometrika, 1987The jackknife method for estimating the dispersion of a statistic T, considered as an estimator of a p-dimensional vector of parameters, can be modified so as to become computationally feasible for the class of statistics that are obtained as limits of iterative processes. Examples are given to show how the method can be applied to the EM algorithm and
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Iterative construction of fixed points
Numerical Functional Analysis and Optimization, 1996Abstract, It is proved that an Ishikawa—type iteration scheme converges to the fixed point of a generalized contraction map in a convex metric space. The class of generalized contraction maps includes all quasi—contraction maps.
S.N. Mishra, A.K. Kalinde
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Random Relaxation of Fixed-Point Iteration
SIAM Journal on Scientific Computing, 1996The author considers a stochastic fixed-point iteration where each coordinate is updated with a certain probability and otherwise left unchanged. The iteration is interesting from the viewpoint of parallel distributed computation because the realized sequences belong to the class of asynchronous fixed-point iterations.
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