Computation offloading scheme for RIS-empowered UAV edge network by Bin LI, Wenshuai LIU, Wancheng XIE, Zesong FEI

“…In order to address the challenge of low offloading rate caused by the obstacles blocking in the links between unmanned aerial vehicle (UAV) and ground users (GU) in urban scene, a partial task offloading scheme for UAV-enabled mobile edge computing with the aid of reconfigurable intelligence surface was proposed.A nonconvex and multivariable coupling stochastic optimization problem was formulated by the joint design of the computation task allocation, the transmit power of GU, the phase shift of RIS, UAV computation resource, and UAV trajectory, aiming at maximizing the minimum average data throughput of GU.By leveraging the properties of mathematical expectation, the stochastic optimization problem was transformed into a deterministic optimization problem.Then, the deterministic optimization problem was decomposed into three subproblems by using the block coordinate descent (BCD) algorithm.By introducing auxiliary variables, the nonconvex problems were transformed into convex optimization problems via the successive convex approximation and semidefinite relaxation, and then the approximate suboptimal solution of the original problem was obtained.The simulation results show that the proposed algorithm has good convergence performance and effectively improves the average data throughput of GU.…”
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Application of Asymptotic Analysis of a High-Dimensional HJB Equation to Portfolio Optimization by Lei Hu

“…Moreover, an illustrative example is provided to assess our approximate strategy and value function.…”
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Trajectory and communication scheduling optimization for the rechargeable UAV aided data collection system by Qianwen LI, Jianfeng CHEN, Miao CUI, Guangchi ZHANG

“…A rechargeable unmanned aerial vehicle (UAV) aided wireless sensor network was considered, which consists of multiple ground terminals with a large amount of time-sensitive data to be collected.Due to the limited battery capacity, the UAV cannot collect the data from all terminals through a single flight mission, and it needs to return to the charging pile to replenish its flight energy several times during the whole mission.The optimization of the terminal scheduling, trajectory, flight speed and transmission rate for the UAV was studied to maximize the number of terminals whose data had been collected within the data lifetime limit.Due to the variable coupling and the existence of discrete binary scheduling variables, the considered optimization problem is difficult to solve.To tackle such a difficulty, an efficient algorithm was proposed based on the stochastic optimization and the feature engineering.Specifically, the flight hover communication protocol was introduced to simplify the UAV flight process.And then a terminal scheduling algorithm was innovatively proposed with the influence factor and the stochastic preference, which extracted the features that affect the service time of the UAV, optimized the weights of the features, and further simplified the optimization problem into multiple subproblems.The subproblems were then solved by using the block coordinate descent and successive convex approximation techniques.Simulation results show that the proposed optimization algorithm achieves significant performance gains over several benchmark schemes in the scenarios with different data lifetime requirements and different numbers of ground terminals.…”
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Hopf Bifurcation and Control of Magnetic Bearing System with Uncertain Parameter by Jing Wang, Shaojuan Ma, Peng Hao, Hehui Yuan

“…The method of orthogonal polynomial approximation is used to obtain the equivalent magnetic bearing model which is deterministic. …”
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Research on task offloading and resource allocation in edge computing network of RIS assisted UAV based on Lyapunov by KUANG Zhufang, GUO Yujing, DENG Xiaoheng

“…Finally, the trajectory of UAV was solved based on successive convex approximation (SCA) method. Simulation results show that JORL has better performance in ensuring queue stability and reducing energy consumption.…”
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Area under the Curve-Based Dosing of Vancomycin in Critically Ill Patients Using 6-Hour Urine Creatinine Clearance Measurement by Bita Shahrami, Farhad Najmeddin, Saeideh Ghaffari, Atabak Najafi, Mohammad Reza Rouini, Mojtaba Mojtahedzadeh

“…Vancomycin pharmacokinetic parameters were determined for each patient using serum concentration data and a one-compartment model provided by MONOLIX software using stochastic approximation expectation-maximization (SAEM) algorithm. …”
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PiLiMoT: A Modified Combination of LoLiMoT and PLN Learning Algorithms for Local Linear Neurofuzzy Modeling by Atiye Sarabi-Jamab, Babak N. Araabi

“…Algorithms are compared through a case study of nonlinear function approximation. Obtained results demonstrate the advantages of combined modified method.…”
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A multiobjective continuation method to compute the regularization path of deep neural networks by Augustina Chidinma Amakor, Konstantin Sonntag, Sebastian Peitz

“…We present numerical examples using both deterministic and stochastic gradients. We furthermore demonstrate that knowledge of the regularization path allows for a well-generalizing network parametrization.…”
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Learning model combined with data clustering and dimensionality reduction for short-term electricity load forecasting by Hyun-Jung Bae, Jong-Seong Park, Ji-hyeok Choi, Hyuk-Yoon Kwon

“…Here, we adapt k-means clustering for data clustering, kernel principal component analysis (kernel PCA), universal manifold approximation and projection (UMAP), and t-stochastic nearest neighbor (t-SNE) for dimensionality reduction. …”
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Network inference with hidden units by Joanna Tyrcha, John Hertz

“…We present the results of some numerical calculations that illustrate key features of the two models and, for the stochastic case, the exact and approximate calculations.…”
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Research on optimal arrangement strategy of top coal caving support sensors based on vibration characteristics of coal and gangue by WANG Yao, YANG Shanguo, WU Mingke, MENG Bin, YANG Zheng, LIU Houguang

“…The K-L（Kullback-Leibler） divergence was used to evaluate the approximation between combined signal of each measuring point and the complete signal and the difference between characteristics of coal and gangue. …”
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Recent Developments to the ANSWERS® Monte Carlo Codes MONK® and MCBEND® by Fildes Jessica, Richards Simon, Bird Adam, Cox Andrew, Fry Timothy, Hanlon David, Jones Brian, Long David, Tantillo Francesco, Wright George, Hiles Richard

“…IGES-formatted CAD geometries may be imported into MONK and MCBEND and approximated as a set of triangular surface polygons in a new Fractal Geometry body. …”
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Automatic History Matching for Adjusting Permeability Field of Fractured Basement Reservoir Simulation Model Using Seismic, Well Log, and Production Data by Le Ngoc Son, Nguyen The Duc, Sumihiko Murata, Phan Ngoc Trung

“…Modification of the ANN model is performed using the simultaneous perturbation stochastic approximation (SPSA) algorithm to calibrate transmission coefficients in the ANN model to minimize the discrepancy between the simulated results and observed data. …”
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SOC-Based Simulation of 3D MIMO Mobile-to-Mobile Fading Channels: A Riemann Sum Approach by Carlos A. Gutierrez, Raul A. Fabian-Rodriguez, Francisco R. Castillo-Soria, Cesar A. Azurdia-Meza, Pablo Adasme

“…The other version is inspired by a stochastic approach that enables the non-ergodic simulation of WSS channels and which can be extrapolated to the simulation of non-WSS channels. …”
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Random fixed points and random differential inclusions by Nikolaos S. Papageorgiou

“…In this paper, first, we study random best approximations to random sets, using fixed point techniques, obtaining this way stochastic analogues of earlier deterministic results by Browder-Petryshyn, KyFan and Reich. …”
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Effects of Catastrophic Insect Outbreaks on the Harvesting Solutions of Dahurian Larch Plantations by Qi Jin, Lauri Valsta, Kari Heliövaara, Jing Li, Youqing Luo, Juan Shi

“…The average bare land values in the stochastic case are approximately 14.8% to 22.9% lower. …”
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Some Random Fixed-Point Theorems for Weakly Contractive Random Operators in a Separable Banach Space by Kenza Benkirane, Abderrahim EL Adraoui, El Miloudi Marhrani

“…A random Mann iterative process is introduced to approximate the fixed point. Finally, the main result is supported by an example and used to prove the existence and the uniqueness of a solution of a nonlinear stochastic integral equation system.…”
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Valuation of Credit Derivatives with Multiple Time Scales in the Intensity Model by Beom Jin Kim, Chan Yeol Park, Yong-Ki Ma

“…We propose approximate solutions for pricing zero-coupon defaultable bonds, credit default swap rates, and bond options based on the averaging principle of stochastic differential equations. …”
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Optimal sterile insect release for area-wide integrated pest management in a density regulated pest population by Luis F. Gordillo

“…In this note we provide approximations to best policies of release through the use of simulated annealing. …”
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Asynchronous perception algorithm based on energy detection by Pan YU, Bin LI, Cheng-lin ZHAO

“…In the future heterogeneous wireless networks,since primary user (PU) and cognitive secondary user (SU) are not coordinated to be synchronous,it will result in sense timing difference between PU’s transmitter and SU’s receiver.For this asynchronous sense case,a new asynchronous sensing algorithm based on Bayesian estimation theory was proposed.A unified dynamic state space model was first proposed to describe the observable energy relationship with dynamic PU state and unknown timing difference.Then,an iterative estimation scheme was designed using stochastic finite set and the rules of maximum posterior probability.Finally,approximated estimation results were obtained by using a particle filter.The simulation results show that the proposed asynchronous scheme significantly eliminates the uncertainty of the received signal information and thus improves the spectrum sensing performance by obtaining the time difference accurately.…”
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