Asynchronous Gossip-Based Gradient-Free Method for Multiagent Optimization by Deming Yuan

“…We prove that with probability 1 the iterates of all agents converge to the same optimal point of the problem, for a diminishing step size.…”
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Algorithm of video object segmentation based on region Gibbs potential function by BAO Hong-qiang, ZHANG Zhao-yang

“…The optimization of solution was carried out by iterated conditional mode （ICM） method. The experiment results show that the algorithm is more effective than COST 211 analysis model.…”
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“This is not science. This is storytelling:” The Poetics of Science in Arcadia by Liliane Campos

“…The analysis focuses on the poetic use of entropy, unpredictable determinism and iteration in Arcadia, and their structuring role as metaphors of emplotment. …”
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Topology Optimization of the Network with Renewable Energy Sources Generation Based on a Modified Adapted Genetic Algorithm by A. M. Bramm, A. I. Khalyasmaa, S. A. Eroshenko, P. V. Matrenin, N. A. Papkova, D. A. Sekatski

“…The proposed genetic algorithm used two different functions of interbreeding, the function of mutation, selection of the best individuals and mass mutation (complete population renewal). At the end of each iteration of the algorithm operation, statistical dependencies were de-rived that characterized its work: the best (minimal losses) and average adaptability in the population, a list of the best individuals throughout all iterations, etc. …”
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Comparison of Different Analytic Solutions to Axisymmetric Squeezing Fluid Flow between Two Infinite Parallel Plates with Slip Boundary Conditions by Hamid Khan, S. Islam, Javed Ali, Inayat Ali Shah

“…The velocity profiles are investigated through various analytical techniques like Adomian decomposition method, new iterative method, homotopy perturbation, optimal homotopy asymptotic method, and differential transform method.…”
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A Self-Adaptive Technique for Solving Variational Inequalities: A New Approach to the Problem by Muhammad Bux, Saleem Ullah, Muhammad Shoaib Arif, Kamaleldin Abodayeh

“…The current study proposed a novel iterative scheme developed through a fixed-point scheme and formulation for solving variational inequalities. …”
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Reconfigurable Antenna Arrays with Multiple Requirements: A Versatile 3D Approach by Massimiliano Comisso, Giulia Buttazzoni, Roberto Vescovo

“…The conceived algorithm, which generalizes some existing solutions, relies on a weighted cost function, whose iterative minimization is accomplished by properly derived closed-form expressions. …”
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Research on the generalized utility max-min fair algorithm based on piecewise linear function by XU Tong, LIAO Jian-xin

“…A generalized utility max-min（UMM） fair algorithm of resource allocation based on piecewise linear function was provided,which supported the upper/lower bounds of resource allocation as well as strictly increasing and continu-ous utility functions.Because of the avoidance of iterative procedure,this algorithm was less complex than water-filling,another UMM fair algorithm.And its simplified version had the same complexity as the narrow-sense UMM fair algo-rithm based on piecewise linear function.This algorithm can be applied in various problems of resource allocation in the field of computer and communication.…”
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Viscosity Approximation Methods and Strong Convergence Theorems for the Fixed Point of Pseudocontractive and Monotone Mappings in Banach Spaces by Yan Tang

“…Suppose that C is a nonempty closed convex subset of a real reflexive Banach space E which has a uniformly Gateaux differentiable norm. A viscosity iterative process is constructed in this paper. A strong convergence theorem is proved for a common element of the set of fixed points of a finite family of pseudocontractive mappings and the set of solutions of a finite family of monotone mappings. …”
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The Alternating Direction Method of Multipliers for Sufficient Dimension Reduction by Sheng Ma, Qin Jiang, Zaiqiang Ku

“…Under some assumptions, we prove that the iterative sequence generated by ADMM converges to some point of the associated augmented Lagrangian function. …”
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Sparsity-Based Robust Bistatic MIMO Radar Imaging in the Presence of Array Errors by Wenyu Gao, Jun Li, Daming Zhang, Qinghua Guo

“…The impact of multiplicative array gain-phase errors is changed to be additive through model reformulation, and transmit-receive angle imaging is formulated to a sparse total least square signal problem. Then, an iterative algorithm is proposed to solve the optimization problem. …”
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Asymptotic Methods for Solitary Solutions and Compactons by Ji-Huan He

“…Particular attention is paid throughout the paper to giving an intuitive grasp for the variational approach, the Hamiltonian approach, the variational iteration method, the homotopy perturbation method, the parameter-expansion method, the Yang-Laplace transform, the Yang-Fourier transform, and ancient Chinese mathematics. …”
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O Prefață uitată a lui Paul Zarifopol by Andreea Mironescu

“…The Preface is also an important essay by Zarifopol on the aesthetical experience, alongside more notorious texts such as Recapitulări/ Iterations (1930) or În planul esthetic/ The Aesthetical Level (1933).…”
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Research on energy-efficient physical-layer secure transmission mechanism in decode-and-forward cooperative networks by Dong WANG, Yong-cheng LI, Bo BAI, Man-xi WANG

“…The maximization problem of secure energy efficiency (EE) in decode-and-forward relay networks was investigated considering the power and energy constraints in physical-layer secure transmission.An iterative algorithm for power allocation was proposed based on fractional programming and DC (difference of convex functions) programming.This algorithm jointly allocated power for source and relay nodes to achieve energy-efficient secure transmission,subject to the peak power constraint of each node and the minimum secrecy rate requirement of the system.Simulation results demonstrate that the propose algorithm can improve the secure EE significantly compared with the conventional secrecy rate maximization strategy.…”
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Semianalytical Approach for the Approximate Solution of Delay Differential Equations by Xiankang Luo, Mustafa Habib, Shazia Karim, Hanan A. Wahash

“…The beauty of this approach is that it does not need to compute the values of the Lagrange multiplier as in the variational iteration method, and also, there is no need to implement the convolution theorem as in the Laplace transform. …”
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Uniformly convergent schemes for singularly perturbed differential equations based on collocation methods by Dialla Konate

“…What we say in the current paper is this: when one uses a grid which is not too coarse the resulted solution, even being nonuniformly convergent may be used in an iterated scheme to get a good approximation solution that is uniformly convergent over the whole geometric domain of study.…”
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Finite-Time Stability and Stabilization of Networked Control Systems with Bounded Markovian Packet Dropout by Yeguo Sun, Guanjun Li

“…The main results provided in the paper are sufficient conditions for finite-time stability and stabilization via state feedback. An iterative approach is proposed to model NCSs with bounded packet dropout as jump linear systems (JLSs). …”
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Pricing of American Put Option under a Jump Diffusion Process with Stochastic Volatility in an Incomplete Market by Shuang Li, Yanli Zhou, Xinfeng Ruan, B. Wiwatanapataphee

“…By employing a risk-minimization criterion, we obtain the Radon-Nikodym derivative for the minimal martingale measure and consequently a linear complementarity problem (LCP) for American option price. An iterative method is then established to solve the LCP problem for American put option price. …”
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A Survey on the Integral Means Spectrum for Conformal Mappings by I.R. Kayumov

“…The systematic results on the estimation of the integral means spectrum and the well-known law of the iterated logarithm for conformal mappings, which was proven by N.G. …”
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Improved Filter-SQP Algorithm with Active Set for Constrained Minimax Problems by Zhijun Luo, Lirong Wang

“…The main search direction dk is obtained by solving this (QP) subproblem which is feasible at per iteration point and need not to consider the penalty function by using the filter technique. …”
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