A Comparative Study on Solving Optimization Problems With Exponentially Fewer Qubits by David Winderl, Nicola Franco, Jeanette Miriam Lorenz

“…We highlight the numerical instabilities generated by encoding the problem into the variational ansatz and propose a classical optimization procedure to find the ground state of the ansatz in fewer iterations with a better or similar objective. In addition, we propose a method to embed the linear interpolation of the MaxCut problem on a quantum device. …”
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A Long Short-Term Memory–Wasserstein Generative Adversarial Network-Based Data Imputation Method for Photovoltaic Power Output Prediction by Zhu Liu, Lingfeng Xuan, Dehuang Gong, Xinlin Xie, Dongguo Zhou

“…This method introduces a data-driven GAN framework with quasi-convex characteristics to ensure the smoothness of the imputed data with the existing data and employs a gradient penalty mechanism and a single-batch multi-iteration strategy for stable training. Finally, through frequency domain analysis, t-Distributed Stochastic Neighbor Embedding (t-SNE) metrics, and prediction performance validation of the generated data, the proposed method can improve the continuity and reliability of data in photovoltaic prediction tasks.…”
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An Efficient Series Solution for Fractional Differential Equations by Mohammed Al-Refai, Mohamed Ali Hajji, Muhammad I. Syam

“…The new approach is a modified form of the well-known Taylor series expansion where we overcome the difficulty of computing iterated fractional derivatives, which do not compute in general. …”
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A Relaxed Self-Adaptive Projection Algorithm for Solving the Multiple-Sets Split Equality Problem by Haitao Che, Haibin Chen

“…The advantage of the self-adaptive step size is that it could be obtained directly from the iterative procedure. Furthermore, we prove the convergence of the proposed algorithm. …”
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Near-Field/Far-Field Transformation with Helicoidal Scanning from Irregularly Spaced Data by Francesco D'Agostino, Flaminio Ferrara, Claudio Gennarelli, Rocco Guerriero, Massimo Migliozzi

“…It relies on a nonredundant sampling representation using a spherical modelling of the antenna under test and employs an iterative scheme to evaluate the near-field data at the points fixed by the helicoidal nonredundant representation from the acquired irregularly distributed ones. …”
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Location fingerprint optimization based access point deployment in indoor WLAN localization by Mu ZHOU, Qiao-lin PU, Zeng-shan TIAN

“…A novel access point (AP) deployment approach by optimizing the location fingerprints in indoor WLAN localization was proposed.Firstly,constructing the water-filling optimization model based on the maximum of the Euclidean distance of RSS between every two location fingerprints.Secoudly,after the process of the iterative cross-zero adjustment and discrete adjustment,the nonnegative and discrete weights of candidate AP locations were obtained.Finally,by using the criterion of maximum average weight,the APs,and consequently optimize the location fingerprints were deployed rationally.The experimental results demonstrate that the proposed approach is able to achieve high location fingerprint based localization precision,as well as consume low time overhead involved in the optimal AP location searching.…”
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Accelerating the convergence of Newton's method for the Yang-Baxter like matrix equation by Chacha Stephen Chacha

“…Numerical experiments demonstrate that the exact line search method significantly improves convergence speed, particularly for larger matrices, by reducing both the number of iterations and residuals more effectively than the successive over-relaxation technique. …”
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Improved ant colony algorithm based on natural selection strategy for solving TSP problem by Hua-feng WU, Xin-qiang CHEN, Qi-huang MAO, Qian-nan ZHANG, Shou-chun ZHANG

“…To solve basic ant colony algorithm's drawbacks of low convergence rate,easiness of trapping in local optimal solution,an improved ant colony algorithm based on natural selection was proposed.The improved algorithm employed evolution strategy of survival the fittest in natural lection to enhance pheromones in paths whose random evolution factor was bigger than threshold of evolution drift factor in each process of iteration.It could accelerate convergence rate effectively.Besides the introduction of random evolution factor reduced probability of trapping local optimal solution notably.The proposed algorithm was applied to classic TSP problem to find better solution for TSP.Simulation results depict the improved algorithm has better optimal solution and higher convergence rate.…”
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Complex Dynamics of the Fractional-Order Rössler System and Its Tracking Synchronization Control by Huihai Wang, Shaobo He, Kehui Sun

“…The fractional-order Rössler system is solved by a fast discrete iteration which is obtained from the Adomian decomposition method (ADM) and it is implemented on the DSP board. …”
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Hybrid Particle Swarm Optimization for Hybrid Flowshop Scheduling Problem with Maintenance Activities by Jun-qing Li, Quan-ke Pan, Kun Mao

“…A hybrid algorithm which combines particle swarm optimization (PSO) and iterated local search (ILS) is proposed for solving the hybrid flowshop scheduling (HFS) problem with preventive maintenance (PM) activities. …”
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Cost-Sensitive Support Vector Machine Using Randomized Dual Coordinate Descent Method for Big Class-Imbalanced Data Classification by Mingzhu Tang, Chunhua Yang, Kang Zhang, Qiyue Xie

“…The solution of concerned subproblem at each iteration is derived in closed form and the computational cost is decreased through the accelerating strategy and cheap computation. …”
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Research on intrusion detection system based on two-level algorithm by 覃伯平, 周贤伟, 宋存义

“…With the joint of two-level algorithm and GMDH multi-stage iterate method, TAIDS would construct models simultaneously with data from different time range, which could enlarge the time range of the detected intrusive behavior. …”
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Distributed cooperative spectrum sensing based on consensus optimization by ZENG Fan-zi, LIU Jie, LI Ren-fa, ZENG Qing-guang

“…A distributed wideband spectrum compressive sensing approach based on consensus optimization was developed.The cognitive radio users firstly collected the time-domain sampling by compressive sampling and recover the local spectrum.Then the spectrum of primary users is recovered jointly by cooperative cognitive radio users,which utilizes iterative consensus optimization to reach globally sensing outcomes via one-hop local communication only.In particular,a weighted consensus-averaging constraint is introduced to reduce the number of the consensus constraints,which lowers the computation loads and expedites the convergence.The convergence of the proposed distributed cooperative spectrum sensing scheme is proved analytically.Simulations demonstrate that the proposed scheme can effectively sense the spectrum from compressive sample.…”
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Analysis of Fractional Differential Equations with the Help of Different Operators by Naveed Iqbal, Moteb Fheed Saad Al Harbi, Saleh Alshammari, Shamsullah Zaland

“…Furthermore, the proposed techniques are compared to the solutions of other renowned analytical methods, including the Adomian decomposition technique, variation iteration technique, and homotopy perturbation technique. …”
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Symbolic Motif on Sepehri’s Poems by Morteza Ghasemi

“…In line with personification and synesthesia, symbol is a significant characteristic of rhetorical level of Sohrab Sepehri’s style. By means of iteration, some of the symbols have been converted to an important and remarkable characteristic and are considered as motif. …”
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A numerical approach for the analysis of deformable journal bearings by D. Benasciutti, M. Gallina, M. Gh. Munteanu, F. Flumian

“…The effect of shaft and housing elastic deformation on pressure distribution within oil film is investigated. An iterative algorithm that couples Reynolds equation with a plane finite elements structural model is solved. …”
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Numerical Solutions for the Time and Space Fractional Nonlinear Partial Differential Equations by Khaled A. Gepreel, Taher A. Nofal, Fawziah M. Alotaibi

“…We implement relatively analytical techniques, the homotopy perturbation method, and variational iteration method to find the approximate solutions for time and space fractional Benjamin-Bona Mahony equation. …”
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An Adaptive Prediction-Correction Method for Solving Large-Scale Nonlinear Systems of Monotone Equations with Applications by Gaohang Yu, Shanzhou Niu, Jianhua Ma, Yisheng Song

“…The proposed method possesses some favorable properties: (1) it is progressive step by step, that is, the distance between iterates and the solution set is decreasing monotonically; (2) global convergence result is independent of the merit function and its Lipschitz continuity; (3) it is a derivative-free method and could be applied for solving large-scale nonsmooth equations due to its lower storage requirement. …”
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Spectrum allocation with SINR guarantee for cognitive wireless multi-hop networks by Jie SUN, Wei GUO, Wei TANG

“…To solve the problems inherent in fixed spectrum allocation wireless multi-hop networks such as channel collision,a full distributed spectrum allocation algorithm in‘underlay’fashion was proposed by using dynamic spectrum allocation technology in cognition radio,which was designed for wireless multi-hop networks formed with secondary users (SUs).This algorithm modeled the spectrum allocation problem as a static non-cooperative game,proofed the existence of Nash equilibrium (NE),and proposed an iterative algorithm to solve the NE.Extensive numerical experiments demonstrated that this algorithm can achieve the joint allocation of channels and power,and guarantee SUs’ signal to interference plus noise ratio(SINR)request while satisfying primary users’interference power limit.…”
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MODELING ANALYSIS OF A SPATIAL 3T CABLE-DRIVEN PARALLEL ROBOT by CUI Hai, SHEN BoKan

“…To check for the system’s zero position and analysis the error,the forward solution of kinematics has been carried out by Newton-Raphson iterative method. After analyzing the distribution of the dexterity,target tracks have been planned in the work space. …”
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